0.07/0.12 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.15 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.IIHq0ZOpwa true 0.15/0.35 % Computer : n029.cluster.edu 0.15/0.35 % Model : x86_64 x86_64 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.35 % Memory : 8042.1875MB 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.35 % CPULimit : 1440 0.15/0.35 % WCLimit : 180 0.15/0.35 % DateTime : Thu Jul 4 09:07:54 EDT 2024 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 1440 s 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.36 % Python version: Python 3.6.8 0.15/0.36 % Running in HO mode 0.61/0.71 % Total configuration time : 828 0.61/0.71 % Estimated wc time : 1656 0.61/0.71 % Estimated cpu time (8 cpus) : 207.0 0.61/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s 0.61/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s 0.61/0.81 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s 0.62/0.81 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s 0.62/0.82 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s 0.62/0.83 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s 0.62/0.86 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s 0.62/0.87 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s 23.85/3.67 % Solved by lams/35_full_unif4.sh. 23.85/3.67 % done 183 iterations in 1.698s 23.85/3.67 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 23.85/3.67 % SZS output start Refutation 23.85/3.67 thf(setadjoinAx_type, type, setadjoinAx: $o). 23.85/3.67 thf(notdexE_type, type, notdexE: $o). 23.85/3.67 thf(setunionAx_type, type, setunionAx: $o). 23.85/3.67 thf(powersetE_type, type, powersetE: $o). 23.85/3.67 thf(omegaSAx_type, type, omegaSAx: $o). 23.85/3.67 thf(exuI1_type, type, exuI1: $o). 23.85/3.67 thf(exuI2_type, type, exuI2: $o). 23.85/3.67 thf(notequalI2_type, type, notequalI2: $o). 23.85/3.67 thf(powerset__Cong_type, type, powerset__Cong: $o). 23.85/3.67 thf(wellorderingAx_type, type, wellorderingAx: $o). 23.85/3.67 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 23.85/3.67 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 23.85/3.67 thf(setoftrueEq_type, type, setoftrueEq: $o). 23.85/3.67 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 23.85/3.67 thf(sepInPowerset_type, type, sepInPowerset: $o). 23.85/3.67 thf(binunionE_type, type, binunionE: $o). 23.85/3.67 thf(setext_type, type, setext: $o). 23.85/3.67 thf('#sk1177_type', type, '#sk1177': $i). 23.85/3.67 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 23.85/3.67 thf(descr__Cong_type, type, descr__Cong: $o). 23.85/3.67 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 23.85/3.67 thf(in_type, type, in: $i > $i > $o). 23.85/3.67 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 23.85/3.67 thf(binunion_type, type, binunion: $i > $i > $i). 23.85/3.67 thf(setadjoinIR_type, type, setadjoinIR: $o). 23.85/3.67 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 23.85/3.67 thf(upairset2IR_type, type, upairset2IR: $o). 23.85/3.67 thf(subsetE_type, type, subsetE: $o). 23.85/3.67 thf(prop2set2propI_type, type, prop2set2propI: $o). 23.85/3.67 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 23.85/3.67 thf(setbeta_type, type, setbeta: $o). 23.85/3.67 thf(eqinunit_type, type, eqinunit: $o). 23.85/3.67 thf(upairsetIL_type, type, upairsetIL: $o). 23.85/3.67 thf(powersetI1_type, type, powersetI1: $o). 23.85/3.67 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 23.85/3.67 thf(powersetAx_type, type, powersetAx: $o). 23.85/3.67 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 23.85/3.67 thf(powersetI_type, type, powersetI: $o). 23.85/3.67 thf(upairsetIR_type, type, upairsetIR: $o). 23.85/3.67 thf(inCongP_type, type, inCongP: $o). 23.85/3.67 thf(setadjoinSub_type, type, setadjoinSub: $o). 23.85/3.67 thf(exuE3e_type, type, exuE3e: $o). 23.85/3.67 thf(emptysetE_type, type, emptysetE: $o). 23.85/3.67 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 23.85/3.67 thf(setunionI_type, type, setunionI: $o). 23.85/3.67 thf(setunion__Cong_type, type, setunion__Cong: $o). 23.85/3.67 thf(prop2setI_type, type, prop2setI: $o). 23.85/3.67 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 23.85/3.67 thf(exuE2_type, type, exuE2: $o). 23.85/3.67 thf(emptyset_type, type, emptyset: $i). 23.85/3.67 thf(setminus_type, type, setminus: $i > $i > $i). 23.85/3.67 thf(powersetsubset_type, type, powersetsubset: $o). 23.85/3.67 thf(subPowSU_type, type, subPowSU: $o). 23.85/3.67 thf(notequalI1_type, type, notequalI1: $o). 23.85/3.67 thf(notinemptyset_type, type, notinemptyset: $o). 23.85/3.67 thf(nonemptyI1_type, type, nonemptyI1: $o). 23.85/3.67 thf(subsetTrans_type, type, subsetTrans: $o). 23.85/3.67 thf(binunionIL_type, type, binunionIL: $o). 23.85/3.67 thf(subsetE2_type, type, subsetE2: $o). 23.85/3.67 thf(singletonsswitch_type, type, singletonsswitch: $o). 23.85/3.67 thf(setextsub_type, type, setextsub: $o). 23.85/3.67 thf(binunionLsub_type, type, binunionLsub: $o). 23.85/3.67 thf(binintersect_type, type, binintersect: $i > $i > $i). 23.85/3.67 thf(emptysetsubset_type, type, emptysetsubset: $o). 23.85/3.67 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 23.85/3.67 thf(setunionE_type, type, setunionE: $o). 23.85/3.67 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 23.85/3.67 thf(binunionIR_type, type, binunionIR: $o). 23.85/3.67 thf(setadjoinE_type, type, setadjoinE: $o). 23.85/3.67 thf(descr_type, type, descr: ($i > $o) > $i). 23.85/3.67 thf(setadjoinIL_type, type, setadjoinIL: $o). 23.85/3.67 thf(exuE1_type, type, exuE1: $o). 23.85/3.67 thf(binintersectRsub_type, type, binintersectRsub: $o). 23.85/3.67 thf(prop2set_type, type, prop2set: $o > $i). 23.85/3.67 thf(notinsingleton_type, type, notinsingleton: $o). 23.85/3.67 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 23.85/3.67 thf(exuEu_type, type, exuEu: $o). 23.85/3.67 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 23.85/3.67 thf(upairsetE_type, type, upairsetE: $o). 23.85/3.67 thf(omega0Ax_type, type, omega0Ax: $o). 23.85/3.67 thf(notsubsetI_type, type, notsubsetI: $o). 23.85/3.67 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 23.85/3.67 thf(setextAx_type, type, setextAx: $o). 23.85/3.67 thf(powersetE1_type, type, powersetE1: $o). 23.85/3.67 thf(bs114d_type, type, bs114d: $o). 23.85/3.67 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 23.85/3.67 thf(setunion_type, type, setunion: $i > $i). 23.85/3.67 thf(binintersectLsub_type, type, binintersectLsub: $o). 23.85/3.67 thf(subsetI1_type, type, subsetI1: $o). 23.85/3.67 thf(descrp_type, type, descrp: $o). 23.85/3.67 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 23.85/3.67 thf(foundationAx_type, type, foundationAx: $o). 23.85/3.67 thf(emptysetAx_type, type, emptysetAx: $o). 23.85/3.67 thf(emptyI_type, type, emptyI: $o). 23.85/3.67 thf(setadjoinOr_type, type, setadjoinOr: $o). 23.85/3.67 thf(binintersectEL_type, type, binintersectEL: $o). 23.85/3.67 thf(emptyE1_type, type, emptyE1: $o). 23.85/3.67 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 23.85/3.67 thf(vacuousDall_type, type, vacuousDall: $o). 23.85/3.67 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 23.85/3.67 thf(dsetconstrER_type, type, dsetconstrER: $o). 23.85/3.67 thf(exu_type, type, exu: ($i > $o) > $o). 23.85/3.67 thf('#sk362_type', type, '#sk362': $i > ($i > $o) > $i). 23.85/3.67 thf(binintersectI_type, type, binintersectI: $o). 23.85/3.67 thf(subsetI2_type, type, subsetI2: $o). 23.85/3.67 thf(setminusI_type, type, setminusI: $o). 23.85/3.67 thf(omega__Cong_type, type, omega__Cong: $o). 23.85/3.67 thf(subsetRefl_type, type, subsetRefl: $o). 23.85/3.67 thf(uniqinunit_type, type, uniqinunit: $o). 23.85/3.67 thf(prop2setE_type, type, prop2setE: $o). 23.85/3.67 thf(binunionEcases_type, type, binunionEcases: $o). 23.85/3.67 thf(setminusEL_type, type, setminusEL: $o). 23.85/3.67 thf(omega_type, type, omega: $i). 23.85/3.67 thf(nonemptyI_type, type, nonemptyI: $o). 23.85/3.67 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 23.85/3.67 thf(exuE3u_type, type, exuE3u: $o). 23.85/3.67 thf(sepSubset_type, type, sepSubset: $o). 23.85/3.67 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 23.85/3.67 thf(exuI3_type, type, exuI3: $o). 23.85/3.67 thf(notdallE_type, type, notdallE: $o). 23.85/3.67 thf(binintersectER_type, type, binintersectER: $o). 23.85/3.67 thf('#sk1178_type', type, '#sk1178': $i). 23.85/3.67 thf(powerset_type, type, powerset: $i > $i). 23.85/3.67 thf(dsetconstrI_type, type, dsetconstrI: $o). 23.85/3.67 thf(nonempty_type, type, nonempty: $i > $o). 23.85/3.67 thf(set2prop_type, type, set2prop: $i > $o). 23.85/3.67 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 23.85/3.67 thf(exu__Cong_type, type, exu__Cong: $o). 23.85/3.67 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 23.85/3.67 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 23.85/3.67 thf(replAx_type, type, replAx: $o). 23.85/3.67 thf(nonemptyE1_type, type, nonemptyE1: $o). 23.85/3.67 thf(omegaIndAx_type, type, omegaIndAx: $o). 23.85/3.67 thf(inPowerset_type, type, inPowerset: $o). 23.85/3.67 thf(subset_type, type, subset: $i > $i > $o). 23.85/3.67 thf(in__Cong_type, type, in__Cong: $o). 23.85/3.67 thf(binunionRsub_type, type, binunionRsub: $o). 23.85/3.67 thf(subset2powerset_type, type, subset2powerset: $o). 23.85/3.67 thf(setminusEL, axiom, setminusEL = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 23.85/3.67 thf('0', plain, 23.85/3.67 (( setminusEL ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setminusI, axiom, setminusI = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => 23.85/3.67 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 23.85/3.67 thf('1', plain, 23.85/3.67 (( setminusI ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => 23.85/3.67 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(bs114d, axiom, bs114d = 23.85/3.67 (![A:$i,B:$i,C:$i]: 23.85/3.67 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 23.85/3.67 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 23.85/3.67 thf('2', plain, 23.85/3.67 (( bs114d ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 23.85/3.67 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectSubset1, axiom, binintersectSubset1 = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 23.85/3.67 thf('3', plain, 23.85/3.67 (( binintersectSubset1 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectSubset4, axiom, binintersectSubset4 = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 23.85/3.67 thf('4', plain, 23.85/3.67 (( binintersectSubset4 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectRsub, axiom, binintersectRsub = 23.85/3.67 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 23.85/3.67 thf('5', plain, 23.85/3.67 (( binintersectRsub ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(disjointsetsI1, axiom, disjointsetsI1 = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 23.85/3.67 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 23.85/3.67 thf('6', plain, 23.85/3.67 (( disjointsetsI1 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 23.85/3.67 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectER, axiom, binintersectER = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 23.85/3.67 thf('7', plain, 23.85/3.67 (( binintersectER ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectSubset3, axiom, binintersectSubset3 = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 23.85/3.67 thf('8', plain, 23.85/3.67 (( binintersectSubset3 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectSubset2, axiom, binintersectSubset2 = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 23.85/3.67 thf('9', plain, 23.85/3.67 (( binintersectSubset2 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectLsub, axiom, binintersectLsub = 23.85/3.67 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 23.85/3.67 thf('10', plain, 23.85/3.67 (( binintersectLsub ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectEL, axiom, binintersectEL = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 23.85/3.67 thf('11', plain, 23.85/3.67 (( binintersectEL ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectSubset5, axiom, binintersectSubset5 = 23.85/3.67 (![A:$i,B:$i,C:$i]: 23.85/3.67 ( ( subset @ C @ A ) => 23.85/3.67 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 23.85/3.67 thf('12', plain, 23.85/3.67 (( binintersectSubset5 ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( subset @ X8 @ X4 ) => 23.85/3.67 ( ( subset @ X8 @ X6 ) => 23.85/3.67 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binintersectI, axiom, binintersectI = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => 23.85/3.67 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 23.85/3.67 thf('13', plain, 23.85/3.67 (( binintersectI ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => 23.85/3.67 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binunionRsub, axiom, binunionRsub = 23.85/3.67 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 23.85/3.67 thf('14', plain, 23.85/3.67 (( binunionRsub ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binunionLsub, axiom, binunionLsub = 23.85/3.67 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 23.85/3.67 thf('15', plain, 23.85/3.67 (( binunionLsub ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binunionE, axiom, binunionE = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 23.85/3.67 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 23.85/3.67 thf('16', plain, 23.85/3.67 (( binunionE ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 23.85/3.67 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binunionEcases, axiom, binunionEcases = 23.85/3.67 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 23.85/3.67 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 23.85/3.67 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 23.85/3.67 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 23.85/3.67 thf('17', plain, 23.85/3.67 (( binunionEcases ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 23.85/3.67 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 23.85/3.67 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 23.85/3.67 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binunionIR, axiom, binunionIR = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 23.85/3.67 thf('18', plain, 23.85/3.67 (( binunionIR ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(upairset2IR, axiom, upairset2IR = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 23.85/3.67 thf('19', plain, 23.85/3.67 (( upairset2IR ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(binunionIL, axiom, binunionIL = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 23.85/3.67 thf('20', plain, 23.85/3.67 (( binunionIL ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(sepSubset, axiom, sepSubset = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 23.85/3.67 thf('21', plain, 23.85/3.67 (( sepSubset ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(sepInPowerset, axiom, sepInPowerset = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 23.85/3.67 thf('22', plain, 23.85/3.67 (( sepInPowerset ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( in @ 23.85/3.67 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 23.85/3.67 ( powerset @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(powersetsubset, axiom, powersetsubset = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 23.85/3.67 thf('23', plain, 23.85/3.67 (( powersetsubset ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( subset @ X4 @ X6 ) => 23.85/3.67 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 23.85/3.67 thf('24', plain, 23.85/3.67 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(powersetE1, axiom, powersetE1 = 23.85/3.67 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 23.85/3.67 thf('25', plain, 23.85/3.67 (( powersetE1 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(powersetI1, axiom, powersetI1 = 23.85/3.67 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 23.85/3.67 thf('26', plain, 23.85/3.67 (( powersetI1 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 23.85/3.67 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 23.85/3.67 thf('27', plain, 23.85/3.67 (( subsetemptysetimpeq ) = 23.85/3.67 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setextsub, axiom, setextsub = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 23.85/3.67 thf('28', plain, 23.85/3.67 (( setextsub ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( subset @ X4 @ X6 ) => 23.85/3.67 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subset2powerset, axiom, subset2powerset = 23.85/3.67 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 23.85/3.67 thf('29', plain, 23.85/3.67 (( subset2powerset ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoinSub2, axiom, setadjoinSub2 = 23.85/3.67 (![A:$i,Xx:$i,B:$i]: 23.85/3.67 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 23.85/3.67 thf('30', plain, 23.85/3.67 (( setadjoinSub2 ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoinSub, axiom, setadjoinSub = 23.85/3.67 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 23.85/3.67 thf('31', plain, 23.85/3.67 (( setadjoinSub ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subsetTrans, axiom, subsetTrans = 23.85/3.67 (![A:$i,B:$i,C:$i]: 23.85/3.67 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 23.85/3.67 thf('32', plain, 23.85/3.67 (( subsetTrans ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( subset @ X4 @ X6 ) => 23.85/3.67 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 23.85/3.67 thf('33', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(notequalI2, axiom, notequalI2 = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 23.85/3.67 thf('34', plain, 23.85/3.67 (( notequalI2 ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => 23.85/3.67 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(notequalI1, axiom, notequalI1 = 23.85/3.67 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 23.85/3.67 thf('35', plain, 23.85/3.67 (( notequalI1 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(notsubsetI, axiom, notsubsetI = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 23.85/3.67 thf('36', plain, 23.85/3.67 (( notsubsetI ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => 23.85/3.67 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subsetE2, axiom, subsetE2 = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 23.85/3.67 thf('37', plain, 23.85/3.67 (( subsetE2 ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( subset @ X4 @ X6 ) => 23.85/3.67 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subsetE, axiom, subsetE = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 23.85/3.67 thf('38', plain, 23.85/3.67 (( subsetE ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptysetsubset, axiom, emptysetsubset = 23.85/3.67 (![A:$i]: ( subset @ emptyset @ A ))). 23.85/3.67 thf('39', plain, 23.85/3.67 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subsetI2, axiom, subsetI2 = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 23.85/3.67 ( subset @ A @ B ) ))). 23.85/3.67 thf('40', plain, 23.85/3.67 (( subsetI2 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 23.85/3.67 ( subset @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(eqimpsubset1, axiom, eqimpsubset1 = 23.85/3.67 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 23.85/3.67 thf('41', plain, 23.85/3.67 (( eqimpsubset1 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(eqimpsubset2, axiom, eqimpsubset2 = 23.85/3.67 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 23.85/3.67 thf('42', plain, 23.85/3.67 (( eqimpsubset2 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subsetI1, axiom, subsetI1 = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 23.85/3.67 ( subset @ A @ B ) ))). 23.85/3.67 thf('43', plain, 23.85/3.67 (( subsetI1 ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 23.85/3.67 ( subset @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ( A ) = ( B ) ) => 23.85/3.67 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 23.85/3.67 ( ( ![Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => 23.85/3.67 ( ![Xy:$i]: 23.85/3.67 ( ( in @ Xy @ B ) => 23.85/3.67 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 23.85/3.67 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 23.85/3.67 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 23.85/3.67 thf('44', plain, 23.85/3.67 (( dsetconstr__Cong ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) = ( X6 ) ) => 23.85/3.67 ( ![X8:( $i > $o ),X10:( $i > $o )]: 23.85/3.67 ( ( ![X12:$i]: 23.85/3.67 ( ( in @ X12 @ X4 ) => 23.85/3.67 ( ![X14:$i]: 23.85/3.67 ( ( in @ X14 @ X6 ) => 23.85/3.67 ( ( ( X12 ) = ( X14 ) ) => 23.85/3.67 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 23.85/3.67 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 23.85/3.67 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(descr__Cong, axiom, descr__Cong = 23.85/3.67 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 23.85/3.67 ( ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 23.85/3.67 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 23.85/3.67 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 23.85/3.67 thf('45', plain, 23.85/3.67 (( descr__Cong ) = 23.85/3.67 ( ![X4:( $i > $o ),X6:( $i > $o )]: 23.85/3.67 ( ( ![X8:$i,X10:$i]: 23.85/3.67 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 23.85/3.67 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 23.85/3.67 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 23.85/3.67 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuEu, axiom, exuEu = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 23.85/3.67 ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 23.85/3.67 thf('46', plain, 23.85/3.67 (( exuEu ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 23.85/3.67 ( ![X6:$i,X8:$i]: 23.85/3.67 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 23.85/3.67 thf('47', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setunion__Cong, axiom, setunion__Cong = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 23.85/3.67 thf('48', plain, 23.85/3.67 (( setunion__Cong ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(powerset__Cong, axiom, powerset__Cong = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 23.85/3.67 thf('49', plain, 23.85/3.67 (( powerset__Cong ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoin__Cong, axiom, setadjoin__Cong = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( Xx ) = ( Xy ) ) => 23.85/3.67 ( ![Xz:$i,Xu:$i]: 23.85/3.67 ( ( ( Xz ) = ( Xu ) ) => 23.85/3.67 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 23.85/3.67 thf('50', plain, 23.85/3.67 (( setadjoin__Cong ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) = ( X6 ) ) => 23.85/3.67 ( ![X8:$i,X10:$i]: 23.85/3.67 ( ( ( X8 ) = ( X10 ) ) => 23.85/3.67 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 23.85/3.67 thf('51', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exu__Cong, axiom, exu__Cong = 23.85/3.67 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 23.85/3.67 ( ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 23.85/3.67 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 23.85/3.67 thf('52', plain, 23.85/3.67 (( exu__Cong ) = 23.85/3.67 ( ![X4:( $i > $o ),X6:( $i > $o )]: 23.85/3.67 ( ( ![X8:$i,X10:$i]: 23.85/3.67 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 23.85/3.67 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuE3u, axiom, exuE3u = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 23.85/3.67 ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 23.85/3.67 thf('53', plain, 23.85/3.67 (( exuE3u ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 23.85/3.67 ( ![X6:$i,X8:$i]: 23.85/3.67 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(in__Cong, axiom, in__Cong = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ( A ) = ( B ) ) => 23.85/3.67 ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 23.85/3.67 thf('54', plain, 23.85/3.67 (( in__Cong ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) = ( X6 ) ) => 23.85/3.67 ( ![X8:$i,X10:$i]: 23.85/3.67 ( ( ( X8 ) = ( X10 ) ) => 23.85/3.67 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(inCongP, axiom, inCongP = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ( A ) = ( B ) ) => 23.85/3.67 ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 23.85/3.67 thf('55', plain, 23.85/3.67 (( inCongP ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) = ( X6 ) ) => 23.85/3.67 ( ![X8:$i,X10:$i]: 23.85/3.67 ( ( ( X8 ) = ( X10 ) ) => 23.85/3.67 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuI2, axiom, exuI2 = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 23.85/3.67 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 23.85/3.67 thf('56', plain, 23.85/3.67 (( exuI2 ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 23.85/3.67 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuI3, axiom, exuI3 = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 23.85/3.67 ( ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 23.85/3.67 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 23.85/3.67 thf('57', plain, 23.85/3.67 (( exuI3 ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 23.85/3.67 ( ( ![X8:$i,X10:$i]: 23.85/3.67 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 23.85/3.67 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuI1, axiom, exuI1 = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( ?[Xx:$i]: 23.85/3.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 23.85/3.67 ( Xphi @ Xx ) ) ) => 23.85/3.67 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 23.85/3.67 thf('58', plain, 23.85/3.67 (( exuI1 ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( ?[X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 23.85/3.67 ( X4 @ X6 ) ) ) => 23.85/3.67 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(notdallE, axiom, notdallE = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 23.85/3.67 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 23.85/3.67 thf('59', plain, 23.85/3.67 (( notdallE ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 23.85/3.67 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(notdexE, axiom, notdexE = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 23.85/3.67 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 23.85/3.67 thf('60', plain, 23.85/3.67 (( notdexE ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 23.85/3.67 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(prop2set2propI, axiom, prop2set2propI = 23.85/3.67 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 23.85/3.67 thf('61', plain, 23.85/3.67 (( prop2set2propI ) = 23.85/3.67 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(prop2setI, axiom, prop2setI = 23.85/3.67 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 23.85/3.67 thf('62', plain, 23.85/3.67 (( prop2setI ) = 23.85/3.67 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 23.85/3.67 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 23.85/3.67 thf('63', plain, 23.85/3.67 (( quantDeMorgan4 ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 23.85/3.67 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 23.85/3.67 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 23.85/3.67 thf('64', plain, 23.85/3.67 (( quantDeMorgan3 ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 23.85/3.67 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 23.85/3.67 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 23.85/3.67 thf('65', plain, 23.85/3.67 (( quantDeMorgan2 ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 23.85/3.67 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 23.85/3.67 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 23.85/3.67 thf('66', plain, 23.85/3.67 (( quantDeMorgan1 ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 23.85/3.67 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(vacuousDall, axiom, vacuousDall = 23.85/3.67 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 23.85/3.67 thf('67', plain, 23.85/3.67 (( vacuousDall ) = 23.85/3.67 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptyE1, axiom, emptyE1 = 23.85/3.67 (![A:$i,Xphi:( $i > $o )]: 23.85/3.67 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 23.85/3.67 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 23.85/3.67 ( $false ) ) ))). 23.85/3.67 thf('68', plain, 23.85/3.67 (( emptyE1 ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o )]: 23.85/3.67 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 23.85/3.67 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 23.85/3.67 ( $false ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(upairsetIR, axiom, upairsetIR = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 23.85/3.67 thf('69', plain, 23.85/3.67 (( upairsetIR ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(upairsetIL, axiom, upairsetIL = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 23.85/3.67 thf('70', plain, 23.85/3.67 (( upairsetIL ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(upairsetE, axiom, upairsetE = 23.85/3.67 (![Xx:$i,Xy:$i,Xz:$i]: 23.85/3.67 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 23.85/3.67 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 23.85/3.67 thf('71', plain, 23.85/3.67 (( upairsetE ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 23.85/3.67 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(singletonsswitch, axiom, singletonsswitch = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 23.85/3.67 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 23.85/3.67 thf('72', plain, 23.85/3.67 (( singletonsswitch ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 23.85/3.67 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(eqinunit, axiom, eqinunit = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 23.85/3.67 thf('73', plain, 23.85/3.67 (( eqinunit ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(notinsingleton, axiom, notinsingleton = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 23.85/3.67 thf('74', plain, 23.85/3.67 (( notinsingleton ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ( X4 ) != ( X6 ) ) => 23.85/3.67 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(uniqinunit, axiom, uniqinunit = 23.85/3.67 (![Xx:$i,Xy:$i]: 23.85/3.67 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 23.85/3.67 thf('75', plain, 23.85/3.67 (( uniqinunit ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 23.85/3.67 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 23.85/3.67 thf('76', plain, 23.85/3.67 (( nonemptyImpWitness ) = 23.85/3.67 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuE2, axiom, exuE2 = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 23.85/3.67 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 23.85/3.67 thf('77', plain, 23.85/3.67 (( exuE2 ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 23.85/3.67 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(subPowSU, axiom, subPowSU = 23.85/3.67 (![A:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 23.85/3.67 thf('78', plain, 23.85/3.67 (( subPowSU ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setunionE, axiom, setunionE = 23.85/3.67 (![A:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( setunion @ A ) ) => 23.85/3.67 ( ![Xphi:$o]: 23.85/3.67 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 23.85/3.67 ( Xphi ) ) ) ))). 23.85/3.67 thf('79', plain, 23.85/3.67 (( setunionE ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( in @ X6 @ ( setunion @ X4 ) ) => 23.85/3.67 ( ![X8:$o]: 23.85/3.67 ( ( ![X10:$i]: 23.85/3.67 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 23.85/3.67 ( X8 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setunionI, axiom, setunionI = 23.85/3.67 (![A:$i,Xx:$i,B:$i]: 23.85/3.67 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 23.85/3.67 thf('80', plain, 23.85/3.67 (( setunionI ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X6 @ X8 ) => 23.85/3.67 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(powersetE, axiom, powersetE = 23.85/3.67 (![A:$i,B:$i,Xx:$i]: 23.85/3.67 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 23.85/3.67 thf('81', plain, 23.85/3.67 (( powersetE ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X6 @ ( powerset @ X4 ) ) => 23.85/3.67 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptyInPowerset, axiom, emptyInPowerset = 23.85/3.67 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 23.85/3.67 thf('82', plain, 23.85/3.67 (( emptyInPowerset ) = 23.85/3.67 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptyinPowerset, axiom, emptyinPowerset = 23.85/3.67 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 23.85/3.67 thf('83', plain, 23.85/3.67 (( emptyinPowerset ) = 23.85/3.67 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(powersetI, axiom, powersetI = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 23.85/3.67 ( in @ B @ ( powerset @ A ) ) ))). 23.85/3.67 thf('84', plain, 23.85/3.67 (( powersetI ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 23.85/3.67 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setoftrueEq, axiom, setoftrueEq = 23.85/3.67 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 23.85/3.67 thf('85', plain, 23.85/3.67 (( setoftrueEq ) = 23.85/3.67 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoinOr, axiom, setadjoinOr = 23.85/3.67 (![Xx:$i,A:$i,Xy:$i]: 23.85/3.67 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 23.85/3.67 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 23.85/3.67 thf('86', plain, 23.85/3.67 (( setadjoinOr ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 23.85/3.67 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoinE, axiom, setadjoinE = 23.85/3.67 (![Xx:$i,A:$i,Xy:$i]: 23.85/3.67 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 23.85/3.67 ( ![Xphi:$o]: 23.85/3.67 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 23.85/3.67 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 23.85/3.67 thf('87', plain, 23.85/3.67 (( setadjoinE ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 23.85/3.67 ( ![X10:$o]: 23.85/3.67 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 23.85/3.67 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoinIR, axiom, setadjoinIR = 23.85/3.67 (![Xx:$i,A:$i,Xy:$i]: 23.85/3.67 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 23.85/3.67 thf('88', plain, 23.85/3.67 (( setadjoinIR ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 23.85/3.67 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 23.85/3.67 thf('89', plain, 23.85/3.67 (( emptyinunitempty ) = 23.85/3.67 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 23.85/3.67 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 23.85/3.67 thf('90', plain, 23.85/3.67 (( emptyinunitempty ) = 23.85/3.67 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoinIL, axiom, setadjoinIL = 23.85/3.67 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 23.85/3.67 thf('91', plain, 23.85/3.67 (( setadjoinIL ) = 23.85/3.67 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(nonemptyI1, axiom, nonemptyI1 = 23.85/3.67 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 23.85/3.67 thf('92', plain, 23.85/3.67 (( nonemptyI1 ) = 23.85/3.67 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(nonemptyI, axiom, nonemptyI = 23.85/3.67 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => 23.85/3.67 ( ( Xphi @ Xx ) => 23.85/3.67 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 23.85/3.67 thf('93', plain, 23.85/3.67 (( nonemptyI ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => 23.85/3.67 ( ( X6 @ X8 ) => 23.85/3.67 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(nonemptyE1, axiom, nonemptyE1 = 23.85/3.67 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 23.85/3.67 thf('94', plain, 23.85/3.67 (( nonemptyE1 ) = 23.85/3.67 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 23.85/3.67 thf('95', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 23.85/3.67 inference('simplify_rw_rule', [status(thm)], [nonempty])). 23.85/3.67 thf('96', plain, (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setbeta, axiom, setbeta = 23.85/3.67 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => 23.85/3.67 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 23.85/3.67 ( Xphi @ Xx ) ) ))). 23.85/3.67 thf('97', plain, 23.85/3.67 (( setbeta ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => 23.85/3.67 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 23.85/3.67 ( X6 @ X8 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(noeltsimpempty, axiom, noeltsimpempty = 23.85/3.67 (![A:$i]: 23.85/3.67 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 23.85/3.67 thf('98', plain, 23.85/3.67 (( noeltsimpempty ) = 23.85/3.67 ( ![X4:$i]: 23.85/3.67 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptyI, axiom, emptyI = 23.85/3.67 (![A:$i]: 23.85/3.67 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 23.85/3.67 thf('99', plain, 23.85/3.67 (( emptyI ) = 23.85/3.67 ( ![X4:$i]: 23.85/3.67 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setext, axiom, setext = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 23.85/3.67 ( ( A ) = ( B ) ) ) ))). 23.85/3.67 thf('100', plain, 23.85/3.67 (( setext ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 23.85/3.67 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 23.85/3.67 ( ( X4 ) = ( X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuE3e, axiom, exuE3e = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 23.85/3.67 thf('101', plain, 23.85/3.67 (( exuE3e ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(notinemptyset, axiom, notinemptyset = 23.85/3.67 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 23.85/3.67 thf('102', plain, 23.85/3.67 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptysetimpfalse, axiom, emptysetimpfalse = 23.85/3.67 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 23.85/3.67 thf('103', plain, 23.85/3.67 (( emptysetimpfalse ) = 23.85/3.67 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptysetE, axiom, emptysetE = 23.85/3.67 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 23.85/3.67 thf('104', plain, 23.85/3.67 (( emptysetE ) = 23.85/3.67 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(prop2setE, axiom, prop2setE = 23.85/3.67 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 23.85/3.67 thf('105', plain, 23.85/3.67 (( prop2setE ) = 23.85/3.67 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exuE1, axiom, exuE1 = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 23.85/3.67 ( ?[Xx:$i]: 23.85/3.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 23.85/3.67 ( Xphi @ Xx ) ) ) ))). 23.85/3.67 thf('106', plain, 23.85/3.67 (( exuE1 ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 23.85/3.67 ( ?[X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 23.85/3.67 ( X4 @ X6 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(dsetconstrER, axiom, dsetconstrER = 23.85/3.67 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 23.85/3.67 ( Xphi @ Xx ) ))). 23.85/3.67 thf('107', plain, 23.85/3.67 (( dsetconstrER ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 23.85/3.67 ( X6 @ X8 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(dsetconstrEL, axiom, dsetconstrEL = 23.85/3.67 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 23.85/3.67 ( in @ Xx @ A ) ))). 23.85/3.67 thf('108', plain, 23.85/3.67 (( dsetconstrEL ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 23.85/3.67 ( in @ X8 @ X4 ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(dsetconstrI, axiom, dsetconstrI = 23.85/3.67 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => 23.85/3.67 ( ( Xphi @ Xx ) => 23.85/3.67 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 23.85/3.67 thf('109', plain, 23.85/3.67 (( dsetconstrI ) = 23.85/3.67 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 23.85/3.67 ( ( in @ X8 @ X4 ) => 23.85/3.67 ( ( X6 @ X8 ) => 23.85/3.67 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(descrp, axiom, descrp = 23.85/3.67 (![Xphi:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 23.85/3.67 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 23.85/3.67 thf('110', plain, 23.85/3.67 (( descrp ) = 23.85/3.67 ( ![X4:( $i > $o )]: 23.85/3.67 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 23.85/3.67 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(wellorderingAx, axiom, wellorderingAx = 23.85/3.67 (![A:$i]: 23.85/3.67 ( ?[B:$i]: 23.85/3.67 ( ( ![C:$i]: 23.85/3.67 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 23.85/3.67 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 23.85/3.67 ( ?[D:$i,Xx:$i]: 23.85/3.67 ( ( ![E:$i]: 23.85/3.67 ( ( in @ E @ B ) => 23.85/3.67 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 23.85/3.67 ( in @ Xx @ E ) ) ) ) & 23.85/3.67 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 23.85/3.67 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 23.85/3.67 ( ![C:$i,D:$i]: 23.85/3.67 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 23.85/3.67 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 23.85/3.67 ( ![Xx:$i,Xy:$i]: 23.85/3.67 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 23.85/3.67 ( ( ![C:$i]: 23.85/3.67 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 23.85/3.67 ( ( Xx ) = ( Xy ) ) ) ) ) & 23.85/3.67 ( ![C:$i]: 23.85/3.67 ( ( in @ C @ B ) => 23.85/3.67 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 23.85/3.67 thf('111', plain, 23.85/3.67 (( wellorderingAx ) = 23.85/3.67 ( ![X4:$i]: 23.85/3.67 ( ?[X6:$i]: 23.85/3.67 ( ( ![X8:$i]: 23.85/3.67 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 23.85/3.67 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 23.85/3.67 ( ?[X14:$i,X16:$i]: 23.85/3.67 ( ( ![X18:$i]: 23.85/3.67 ( ( in @ X18 @ X6 ) => 23.85/3.67 ( ( ![X20:$i]: 23.85/3.67 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 23.85/3.67 ( in @ X16 @ X18 ) ) ) ) & 23.85/3.67 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 23.85/3.67 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 23.85/3.67 ( ![X24:$i,X26:$i]: 23.85/3.67 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 23.85/3.67 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 23.85/3.67 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 23.85/3.67 ( ![X32:$i,X34:$i]: 23.85/3.67 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 23.85/3.67 ( ( ![X36:$i]: 23.85/3.67 ( ( in @ X36 @ X6 ) => 23.85/3.67 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 23.85/3.67 ( ( X32 ) = ( X34 ) ) ) ) ) & 23.85/3.67 ( ![X38:$i]: 23.85/3.67 ( ( in @ X38 @ X6 ) => 23.85/3.67 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(foundationAx, axiom, foundationAx = 23.85/3.67 (![A:$i]: 23.85/3.67 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 23.85/3.67 ( ?[B:$i]: 23.85/3.67 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 23.85/3.67 ( in @ B @ A ) ) ) ))). 23.85/3.67 thf('112', plain, 23.85/3.67 (( foundationAx ) = 23.85/3.67 ( ![X4:$i]: 23.85/3.67 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 23.85/3.67 ( ?[X8:$i]: 23.85/3.67 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 23.85/3.67 ( in @ X8 @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(replAx, axiom, replAx = 23.85/3.67 (![Xphi:( $i > $i > $o ),A:$i]: 23.85/3.67 ( ( ![Xx:$i]: 23.85/3.67 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 23.85/3.67 ( ?[B:$i]: 23.85/3.67 ( ![Xx:$i]: 23.85/3.67 ( ( in @ Xx @ B ) <=> 23.85/3.67 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 23.85/3.67 thf('113', plain, 23.85/3.67 (( replAx ) = 23.85/3.67 ( ![X4:( $i > $i > $o ),X6:$i]: 23.85/3.67 ( ( ![X8:$i]: 23.85/3.67 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 23.85/3.67 ( ?[X10:$i]: 23.85/3.67 ( ![X12:$i]: 23.85/3.67 ( ( in @ X12 @ X10 ) <=> 23.85/3.67 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(omegaIndAx, axiom, omegaIndAx = 23.85/3.67 (![A:$i]: 23.85/3.67 ( ( ( in @ emptyset @ A ) & 23.85/3.67 ( ![Xx:$i]: 23.85/3.67 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 23.85/3.67 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 23.85/3.67 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 23.85/3.67 thf('114', plain, 23.85/3.67 (( omegaIndAx ) = 23.85/3.67 ( ![X4:$i]: 23.85/3.67 ( ( ( in @ emptyset @ X4 ) & 23.85/3.67 ( ![X6:$i]: 23.85/3.67 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 23.85/3.67 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 23.85/3.67 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(omegaSAx, axiom, omegaSAx = 23.85/3.67 (![Xx:$i]: 23.85/3.67 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 23.85/3.67 thf('115', plain, 23.85/3.67 (( omegaSAx ) = 23.85/3.67 ( ![X4:$i]: 23.85/3.67 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 23.85/3.67 thf('116', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 23.85/3.67 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 23.85/3.67 thf('117', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setunionAx, axiom, setunionAx = 23.85/3.67 (![A:$i,Xx:$i]: 23.85/3.67 ( ( in @ Xx @ ( setunion @ A ) ) <=> 23.85/3.67 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 23.85/3.67 thf('118', plain, 23.85/3.67 (( setunionAx ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 23.85/3.67 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(powersetAx, axiom, powersetAx = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( in @ B @ ( powerset @ A ) ) <=> 23.85/3.67 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 23.85/3.67 thf('119', plain, 23.85/3.67 (( powersetAx ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 23.85/3.67 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setadjoinAx, axiom, setadjoinAx = 23.85/3.67 (![Xx:$i,A:$i,Xy:$i]: 23.85/3.67 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 23.85/3.67 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 23.85/3.67 thf('120', plain, 23.85/3.67 (( setadjoinAx ) = 23.85/3.67 ( ![X4:$i,X6:$i,X8:$i]: 23.85/3.67 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 23.85/3.67 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 23.85/3.67 thf('121', plain, 23.85/3.67 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setextAx, axiom, setextAx = 23.85/3.67 (![A:$i,B:$i]: 23.85/3.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 23.85/3.67 ( ( A ) = ( B ) ) ))). 23.85/3.67 thf('122', plain, 23.85/3.67 (( setextAx ) = 23.85/3.67 ( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 23.85/3.67 ( ( X4 ) = ( X6 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(exu, axiom,(( exu ) = 23.85/3.67 (^[Xphi:( $i > $o )]: 23.85/3.67 ( ?[Xx:$i]: 23.85/3.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 23.85/3.67 thf('123', plain, 23.85/3.67 (( exu ) = 23.85/3.67 ( ^[Xphi:( $i > $o )]: 23.85/3.67 ( ?[Xx:$i]: 23.85/3.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 23.85/3.67 ( Xphi @ Xx ) ) ) )), 23.85/3.67 inference('simplify_rw_rule', [status(thm)], [exu])). 23.85/3.67 thf('124', plain, 23.85/3.67 (( exu ) = 23.85/3.67 ( ^[V_1:( $i > $o )]: 23.85/3.67 ( ?[X4:$i]: 23.85/3.67 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 23.85/3.67 ( V_1 @ X4 ) ) ) )), 23.85/3.67 define([status(thm)])). 23.85/3.67 thf(setminusER, conjecture, 23.85/3.67 (( setextAx ) => 23.85/3.67 ( ( emptysetAx ) => 23.85/3.67 ( ( setadjoinAx ) => 23.85/3.67 ( ( powersetAx ) => 23.85/3.67 ( ( setunionAx ) => 23.85/3.67 ( ( omega0Ax ) => 23.85/3.67 ( ( omegaSAx ) => 23.85/3.67 ( ( omegaIndAx ) => 23.85/3.67 ( ( replAx ) => 23.85/3.67 ( ( foundationAx ) => 23.85/3.67 ( ( wellorderingAx ) => 23.85/3.67 ( ( descrp ) => 23.85/3.67 ( ( dsetconstrI ) => 23.85/3.67 ( ( dsetconstrEL ) => 23.85/3.67 ( ( dsetconstrER ) => 23.85/3.67 ( ( exuE1 ) => 23.85/3.67 ( ( prop2setE ) => 23.85/3.67 ( ( emptysetE ) => 23.85/3.67 ( ( emptysetimpfalse ) => 23.85/3.67 ( ( notinemptyset ) => 23.85/3.67 ( ( exuE3e ) => 23.85/3.67 ( ( setext ) => 23.85/3.67 ( ( emptyI ) => 23.85/3.67 ( ( noeltsimpempty ) => 23.85/3.67 ( ( setbeta ) => 23.85/3.67 ( ( nonemptyE1 ) => 23.85/3.67 ( ( nonemptyI ) => 23.85/3.67 ( ( nonemptyI1 ) => 23.85/3.67 ( ( setadjoinIL ) => 23.85/3.67 ( ( emptyinunitempty ) => 23.85/3.67 ( ( setadjoinIR ) => 23.85/3.67 ( ( setadjoinE ) => 23.85/3.67 ( ( 23.85/3.67 setadjoinOr ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setoftrueEq ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 powersetI ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 emptyinPowerset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 emptyInPowerset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 powersetE ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setunionI ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setunionE ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subPowSU ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 exuE2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 nonemptyImpWitness ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 uniqinunit ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 notinsingleton ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 eqinunit ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 singletonsswitch ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 upairsetE ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 upairsetIL ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 upairsetIR ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 emptyE1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 vacuousDall ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 quantDeMorgan1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 quantDeMorgan2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 quantDeMorgan3 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 quantDeMorgan4 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 prop2setI ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 prop2set2propI ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 notdexE ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 notdallE ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 exuI1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 exuI3 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 exuI2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 inCongP ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 exuE3u ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 exu__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 emptyset__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setadjoin__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 powerset__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setunion__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 omega__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 exuEu ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 descr__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 dsetconstr__Cong ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subsetI1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 eqimpsubset2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 eqimpsubset1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subsetI2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 emptysetsubset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subsetE ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subsetE2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 notsubsetI ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 notequalI1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 notequalI2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subsetRefl ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subsetTrans ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setadjoinSub ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setadjoinSub2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset2powerset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setextsub ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subsetemptysetimpeq ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 powersetI1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 powersetE1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 inPowerset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 powersetsubset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 sepInPowerset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 sepSubset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binunionIL ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 upairset2IR ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binunionIR ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binunionEcases ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binunionE ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binunionLsub ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binunionRsub ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectI ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectSubset5 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectEL ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectLsub ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectSubset2 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectSubset3 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectER ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 disjointsetsI1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectRsub ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectSubset4 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersectSubset1 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 bs114d ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setminusI ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setminusEL ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 A:$i,B:$i, 23.85/3.67 Xx:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 Xx @ 23.85/3.67 ( 23.85/3.67 setminus @ 23.85/3.67 A @ B ) ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 in @ 23.85/3.67 Xx @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 23.85/3.67 thf(zf_stmt_0, conjecture, 23.85/3.67 (( ![X4:$i,X6:$i]: 23.85/3.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 23.85/3.67 ( ( X4 ) = ( X6 ) ) ) ) => 23.85/3.67 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 23.85/3.67 ( ( ![X12:$i,X14:$i,X16:$i]: 23.85/3.67 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 23.85/3.67 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 23.85/3.67 ( ( ![X18:$i,X20:$i]: 23.85/3.67 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 23.85/3.67 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 23.85/3.67 ( ( ![X24:$i,X26:$i]: 23.85/3.67 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 23.85/3.67 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 23.85/3.67 ( ( in @ emptyset @ omega ) => 23.85/3.67 ( ( ![X30:$i]: 23.85/3.67 ( ( in @ X30 @ omega ) => 23.85/3.67 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 23.85/3.67 ( ( ![X32:$i]: 23.85/3.67 ( ( ( ![X34:$i]: 23.85/3.67 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 23.85/3.67 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 23.85/3.67 ( in @ emptyset @ X32 ) ) => 23.85/3.67 ( ![X36:$i]: 23.85/3.67 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 23.85/3.67 ( ( ![X38:( $i > $i > $o ),X40:$i]: 23.85/3.67 ( ( ![X42:$i]: 23.85/3.67 ( ( in @ X42 @ X40 ) => 23.85/3.67 ( ?[X44:$i]: 23.85/3.67 ( ( X38 @ X42 @ X44 ) & 23.85/3.67 ( ![X46:$i]: 23.85/3.67 ( ( X38 @ X42 @ X46 ) => 23.85/3.67 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 23.85/3.67 ( ?[X48:$i]: 23.85/3.67 ( ![X50:$i]: 23.85/3.67 ( ( in @ X50 @ X48 ) <=> 23.85/3.67 ( ?[X52:$i]: 23.85/3.67 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 23.85/3.67 ( ( ![X54:$i]: 23.85/3.67 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 23.85/3.67 ( ?[X58:$i]: 23.85/3.67 ( ( in @ X58 @ X54 ) & 23.85/3.67 ( ~( ?[X60:$i]: 23.85/3.67 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 23.85/3.67 ( ( ![X62:$i]: 23.85/3.67 ( ?[X64:$i]: 23.85/3.67 ( ( ![X96:$i]: 23.85/3.67 ( ( in @ X96 @ X64 ) => 23.85/3.67 ( ![X98:$i]: 23.85/3.67 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 23.85/3.67 ( ![X90:$i,X92:$i]: 23.85/3.67 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 23.85/3.67 ( ( ![X94:$i]: 23.85/3.67 ( ( in @ X94 @ X64 ) => 23.85/3.67 ( ( in @ X90 @ X94 ) <=> 23.85/3.67 ( in @ X92 @ X94 ) ) ) ) => 23.85/3.67 ( ( X90 ) = ( X92 ) ) ) ) ) & 23.85/3.67 ( ![X82:$i,X84:$i]: 23.85/3.67 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 23.85/3.67 ( ( ![X88:$i]: 23.85/3.67 ( ( in @ X88 @ X84 ) => 23.85/3.67 ( in @ X88 @ X82 ) ) ) | 23.85/3.67 ( ![X86:$i]: 23.85/3.67 ( ( in @ X86 @ X82 ) => 23.85/3.67 ( in @ X86 @ X84 ) ) ) ) ) ) & 23.85/3.67 ( ![X66:$i]: 23.85/3.67 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 23.85/3.67 ( ![X68:$i]: 23.85/3.67 ( ( in @ X68 @ X66 ) => 23.85/3.67 ( in @ X68 @ X62 ) ) ) ) => 23.85/3.67 ( ?[X72:$i,X74:$i]: 23.85/3.67 ( ( in @ X72 @ X64 ) & 23.85/3.67 ( in @ X74 @ X66 ) & 23.85/3.67 ( ~( ?[X80:$i]: 23.85/3.67 ( ( in @ X80 @ X72 ) & 23.85/3.67 ( in @ X80 @ X66 ) ) ) ) & 23.85/3.67 ( ![X76:$i]: 23.85/3.67 ( ( in @ X76 @ X64 ) => 23.85/3.67 ( ( in @ X74 @ X76 ) | 23.85/3.67 ( ![X78:$i]: 23.85/3.67 ( ( in @ X78 @ X76 ) => 23.85/3.67 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 23.85/3.67 ( ( ![X100:( $i > $o )]: 23.85/3.67 ( ( ?[X102:$i]: 23.85/3.67 ( ( X100 @ X102 ) & 23.85/3.67 ( ![X104:$i]: 23.85/3.67 ( ( X100 @ X104 ) => 23.85/3.67 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 23.85/3.67 ( X100 @ 23.85/3.67 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 23.85/3.67 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 23.85/3.67 ( ( in @ X110 @ X106 ) => 23.85/3.67 ( ( X108 @ X110 ) => 23.85/3.67 ( in @ 23.85/3.67 X110 @ 23.85/3.67 ( dsetconstr @ 23.85/3.67 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 23.85/3.67 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 23.85/3.67 ( ( in @ 23.85/3.67 X116 @ 23.85/3.67 ( dsetconstr @ 23.85/3.67 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 23.85/3.67 ( in @ X116 @ X112 ) ) ) => 23.85/3.67 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 23.85/3.67 ( ( in @ 23.85/3.67 X122 @ 23.85/3.67 ( dsetconstr @ 23.85/3.67 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 23.85/3.67 ( X120 @ X122 ) ) ) => 23.85/3.67 ( ( ![X124:( $i > $o )]: 23.85/3.67 ( ( ?[X126:$i]: 23.85/3.67 ( ( X124 @ X126 ) & 23.85/3.67 ( ![X128:$i]: 23.85/3.67 ( ( X124 @ X128 ) => 23.85/3.67 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 23.85/3.67 ( ?[X130:$i]: 23.85/3.67 ( ( X124 @ X130 ) & 23.85/3.67 ( ![X132:$i]: 23.85/3.67 ( ( X124 @ X132 ) => 23.85/3.67 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 23.85/3.67 ( ( ![X134:$o,X136:$i]: 23.85/3.67 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 23.85/3.67 ( X134 ) ) ) => 23.85/3.67 ( ( ![X138:$i]: 23.85/3.67 ( ( in @ X138 @ emptyset ) => 23.85/3.67 ( ![X140:$o]: ( X140 ) ) ) ) => 23.85/3.67 ( ( ![X142:$i]: 23.85/3.67 ( ~( in @ X142 @ emptyset ) ) ) => 23.85/3.67 ( ( ![X144:$i]: 23.85/3.67 ( ~( in @ X144 @ emptyset ) ) ) => 23.85/3.67 ( ( ![X146:( $i > $o )]: 23.85/3.67 ( ( ?[X148:$i]: 23.85/3.67 ( ( X146 @ X148 ) & 23.85/3.67 ( ![X150:$i]: 23.85/3.67 ( ( X146 @ X150 ) => 23.85/3.67 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 23.85/3.67 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 23.85/3.67 ( ( ![X154:$i,X156:$i]: 23.85/3.67 ( ( ![X158:$i]: 23.85/3.67 ( ( in @ X158 @ X154 ) => 23.85/3.67 ( in @ X158 @ X156 ) ) ) => 23.85/3.67 ( ( ![X160:$i]: 23.85/3.67 ( ( in @ X160 @ X156 ) => 23.85/3.67 ( in @ X160 @ X154 ) ) ) => 23.85/3.67 ( ( X154 ) = ( X156 ) ) ) ) ) => 23.85/3.67 ( ( ![X162:$i]: 23.85/3.67 ( ( ![X164:$i]: 23.85/3.67 ( ~( in @ X164 @ X162 ) ) ) => 23.85/3.67 ( ( X162 ) = ( emptyset ) ) ) ) => 23.85/3.67 ( ( ![X166:$i]: 23.85/3.67 ( ( ![X168:$i]: 23.85/3.67 ( ~( in @ X168 @ X166 ) ) ) => 23.85/3.67 ( ( X166 ) = 23.85/3.67 ( emptyset ) ) ) ) => 23.85/3.67 ( ( ![X170:$i, 23.85/3.67 X172:( $i > $o ), 23.85/3.67 X174:$i]: 23.85/3.67 ( ( in @ X174 @ X170 ) => 23.85/3.67 ( ( in @ 23.85/3.67 X174 @ 23.85/3.67 ( dsetconstr @ 23.85/3.67 X170 @ 23.85/3.67 ( ^[V_5:$i]: 23.85/3.67 ( X172 @ V_5 ) ) ) ) <=> 23.85/3.67 ( X172 @ X174 ) ) ) ) => 23.85/3.67 ( ( ![X176:$i]: 23.85/3.67 ( ( ( X176 ) != 23.85/3.67 ( emptyset ) ) => 23.85/3.67 ( ?[X178:$i]: 23.85/3.67 ( in @ X178 @ X176 ) ) ) ) => 23.85/3.67 ( ( ![X180:$i, 23.85/3.67 X182:( $i > $o ), 23.85/3.67 X184:$i]: 23.85/3.67 ( ( in @ X184 @ X180 ) => 23.85/3.67 ( ( X182 @ X184 ) => 23.85/3.67 ( ( dsetconstr @ 23.85/3.67 X180 @ 23.85/3.67 ( ^[ 23.85/3.67 V_6:$i]: 23.85/3.67 ( 23.85/3.67 X182 @ V_6 ) ) ) != 23.85/3.67 ( emptyset ) ) ) ) ) => 23.85/3.67 ( ( ![X186:$i]: 23.85/3.67 ( ( ?[X188:$i]: 23.85/3.67 ( in @ 23.85/3.67 X188 @ X186 ) ) => 23.85/3.67 ( ( X186 ) != 23.85/3.67 ( emptyset ) ) ) ) => 23.85/3.67 ( ( ![X190:$i, 23.85/3.67 X192:$i]: 23.85/3.67 ( in @ 23.85/3.67 X190 @ 23.85/3.67 ( setadjoin @ 23.85/3.67 X190 @ X192 ) ) ) => 23.85/3.67 ( ( in @ 23.85/3.67 emptyset @ 23.85/3.67 ( setadjoin @ 23.85/3.67 emptyset @ 23.85/3.67 emptyset ) ) => 23.85/3.67 ( ( ![X194:$i, 23.85/3.67 X196:$i, 23.85/3.67 X198:$i]: 23.85/3.67 ( ( 23.85/3.67 in @ 23.85/3.67 X198 @ 23.85/3.67 X196 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X198 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X194 @ 23.85/3.67 X196 ) ) ) ) => 23.85/3.67 ( ( ![ 23.85/3.67 X200:$i, 23.85/3.67 X202:$i, 23.85/3.67 X204:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X204 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X200 @ 23.85/3.67 X202 ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X206:$o]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X204 ) = 23.85/3.67 ( 23.85/3.67 X200 ) ) => 23.85/3.67 ( 23.85/3.67 X206 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X204 @ 23.85/3.67 X202 ) => 23.85/3.67 ( 23.85/3.67 X206 ) ) => 23.85/3.67 ( 23.85/3.67 X206 ) ) ) ) ) ) => 23.85/3.67 ( ( 23.85/3.67 ![ 23.85/3.67 X208:$i, 23.85/3.67 X210:$i, 23.85/3.67 X212:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X212 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X208 @ 23.85/3.67 X210 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X212 @ 23.85/3.67 X210 ) | 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X212 ) = 23.85/3.67 ( 23.85/3.67 X208 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X214:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 dsetconstr 23.85/3.67 @ 23.85/3.67 X214 @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_7:$i]: 23.85/3.67 ( 23.85/3.67 $true ) ) ) = 23.85/3.67 ( 23.85/3.67 X214 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X216:$i, 23.85/3.67 X218:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X220:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X220 @ 23.85/3.67 X218 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X220 @ 23.85/3.67 X216 ) ) ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X218 @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X216 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X222:$i]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 emptyset @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X222 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X224:$i]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 emptyset @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X224 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X226:$i, 23.85/3.67 X228:$i, 23.85/3.67 X230:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X228 @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X226 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X230 @ 23.85/3.67 X228 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X230 @ 23.85/3.67 X226 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X232:$i, 23.85/3.67 X234:$i, 23.85/3.67 X236:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X234 @ 23.85/3.67 X236 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X236 @ 23.85/3.67 X232 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X234 @ 23.85/3.67 ( 23.85/3.67 setunion @ 23.85/3.67 X232 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X238:$i, 23.85/3.67 X240:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X240 @ 23.85/3.67 ( 23.85/3.67 setunion @ 23.85/3.67 X238 ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X242:$o]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X244:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X240 @ 23.85/3.67 X244 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X244 @ 23.85/3.67 X238 ) => 23.85/3.67 ( 23.85/3.67 X242 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 X242 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X246:$i, 23.85/3.67 X248:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X248 @ 23.85/3.67 X246 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X248 @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 ( 23.85/3.67 setunion @ 23.85/3.67 X246 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X250:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X252:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X250 @ 23.85/3.67 X252 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X254:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X250 @ 23.85/3.67 X254 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X252 ) = 23.85/3.67 ( 23.85/3.67 X254 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X256:$i]: 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X258:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X250 @ 23.85/3.67 X258 ) <=> 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X258 ) = 23.85/3.67 ( 23.85/3.67 X256 ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X260:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X260 ) != 23.85/3.67 ( 23.85/3.67 emptyset ) ) => 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X262:$i]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X262 @ 23.85/3.67 X260 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X264:$i, 23.85/3.67 X266:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X264 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X266 @ 23.85/3.67 emptyset ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X264 ) = 23.85/3.67 ( 23.85/3.67 X266 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X268:$i, 23.85/3.67 X270:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X268 ) != 23.85/3.67 ( 23.85/3.67 X270 ) ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 in @ 23.85/3.67 X270 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X268 @ 23.85/3.67 emptyset ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X272:$i, 23.85/3.67 X274:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X272 ) = 23.85/3.67 ( 23.85/3.67 X274 ) ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X272 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X274 @ 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X276:$i, 23.85/3.67 X278:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X276 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X278 @ 23.85/3.67 emptyset ) ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X278 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X276 @ 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X280:$i, 23.85/3.67 X282:$i, 23.85/3.67 X284:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X284 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X280 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X282 @ 23.85/3.67 emptyset ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X284 ) = 23.85/3.67 ( 23.85/3.67 X282 ) ) | 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X284 ) = 23.85/3.67 ( 23.85/3.67 X280 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X286:$i, 23.85/3.67 X288:$i]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X286 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X286 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X288 @ 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X290:$i, 23.85/3.67 X292:$i]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X292 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X290 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X292 @ 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X294:$i, 23.85/3.67 X296:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X298:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X298 @ 23.85/3.67 X294 ) & 23.85/3.67 ( 23.85/3.67 X296 @ 23.85/3.67 X298 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 dsetconstr 23.85/3.67 @ 23.85/3.67 X294 @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_8:$i]: 23.85/3.67 ( 23.85/3.67 X296 @ V_8 ) ) ) != 23.85/3.67 ( 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X300:( 23.85/3.67 $i > $o ), 23.85/3.67 X302:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X302 @ 23.85/3.67 emptyset ) => 23.85/3.67 ( 23.85/3.67 X300 @ 23.85/3.67 X302 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X304:$i, 23.85/3.67 X306:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 ![ 23.85/3.67 X308:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X308 @ 23.85/3.67 X304 ) => 23.85/3.67 ( 23.85/3.67 X306 @ 23.85/3.67 X308 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X310:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X310 @ 23.85/3.67 X304 ) & 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 X306 @ 23.85/3.67 X310 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X312:$i, 23.85/3.67 X314:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X316:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X316 @ 23.85/3.67 X312 ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 X314 @ 23.85/3.67 X316 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 ?[ 23.85/3.67 X318:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X318 @ 23.85/3.67 X312 ) & 23.85/3.67 ( 23.85/3.67 X314 @ 23.85/3.67 X318 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X320:$i, 23.85/3.67 X322:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 ?[ 23.85/3.67 X324:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X324 @ 23.85/3.67 X320 ) & 23.85/3.67 ( 23.85/3.67 X322 @ 23.85/3.67 X324 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X326:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X326 @ 23.85/3.67 X320 ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 X322 @ 23.85/3.67 X326 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X328:$i, 23.85/3.67 X330:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X332:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X332 @ 23.85/3.67 X328 ) & 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 X330 @ 23.85/3.67 X332 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 ![ 23.85/3.67 X334:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X334 @ 23.85/3.67 X328 ) => 23.85/3.67 ( 23.85/3.67 X330 @ 23.85/3.67 X334 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X336:$o]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X336 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 emptyset @ 23.85/3.67 ( 23.85/3.67 prop2set @ 23.85/3.67 X336 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X338:$o]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X338 ) => 23.85/3.67 ( 23.85/3.67 set2prop @ 23.85/3.67 ( 23.85/3.67 prop2set @ 23.85/3.67 X338 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X340:$i, 23.85/3.67 X342:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 ?[ 23.85/3.67 X344:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X344 @ 23.85/3.67 X340 ) & 23.85/3.67 ( 23.85/3.67 X342 @ 23.85/3.67 X344 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X346:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X346 @ 23.85/3.67 X340 ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 X342 @ 23.85/3.67 X346 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X348:$i, 23.85/3.67 X350:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 ![ 23.85/3.67 X352:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X352 @ 23.85/3.67 X348 ) => 23.85/3.67 ( 23.85/3.67 X350 @ 23.85/3.67 X352 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X354:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X354 @ 23.85/3.67 X348 ) & 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 X350 @ 23.85/3.67 X354 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X356:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X358:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X356 @ 23.85/3.67 X358 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X360:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X356 @ 23.85/3.67 X360 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X358 ) = 23.85/3.67 ( 23.85/3.67 X360 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X362:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X356 @ 23.85/3.67 X362 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X364:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X356 @ 23.85/3.67 X364 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X362 ) = 23.85/3.67 ( 23.85/3.67 X364 ) ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X366:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X368:$i]: 23.85/3.67 ( 23.85/3.67 X366 @ 23.85/3.67 X368 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X370:$i, 23.85/3.67 X372:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X366 @ 23.85/3.67 X370 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X366 @ 23.85/3.67 X372 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X370 ) = 23.85/3.67 ( 23.85/3.67 X372 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X374:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X366 @ 23.85/3.67 X374 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X376:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X366 @ 23.85/3.67 X376 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X374 ) = 23.85/3.67 ( 23.85/3.67 X376 ) ) ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X378:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X380:$i]: 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X382:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X378 @ 23.85/3.67 X382 ) <=> 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X382 ) = 23.85/3.67 ( 23.85/3.67 X380 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X384:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X378 @ 23.85/3.67 X384 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X386:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X378 @ 23.85/3.67 X386 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X384 ) = 23.85/3.67 ( 23.85/3.67 X386 ) ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X388:$i, 23.85/3.67 X390:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X388 ) = 23.85/3.67 ( 23.85/3.67 X390 ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X392:$i, 23.85/3.67 X394:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X392 ) = 23.85/3.67 ( 23.85/3.67 X394 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X392 @ 23.85/3.67 X388 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X394 @ 23.85/3.67 X390 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X396:$i, 23.85/3.67 X398:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X396 ) = 23.85/3.67 ( 23.85/3.67 X398 ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X400:$i, 23.85/3.67 X402:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X400 ) = 23.85/3.67 ( 23.85/3.67 X402 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X400 @ 23.85/3.67 X396 ) <=> 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X402 @ 23.85/3.67 X398 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X404:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X406:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X404 @ 23.85/3.67 X406 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X408:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X404 @ 23.85/3.67 X408 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X406 ) = 23.85/3.67 ( 23.85/3.67 X408 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X410:$i, 23.85/3.67 X412:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X404 @ 23.85/3.67 X410 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X404 @ 23.85/3.67 X412 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X410 ) = 23.85/3.67 ( 23.85/3.67 X412 ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X414:( 23.85/3.67 $i > $o ), 23.85/3.67 X416:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X418:$i, 23.85/3.67 X420:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X418 ) = 23.85/3.67 ( 23.85/3.67 X420 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X414 @ 23.85/3.67 X418 ) <=> 23.85/3.67 ( 23.85/3.67 X416 @ 23.85/3.67 X420 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X422:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X414 @ 23.85/3.67 X422 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X424:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X414 @ 23.85/3.67 X424 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X422 ) = 23.85/3.67 ( 23.85/3.67 X424 ) ) ) ) ) ) <=> 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X426:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X416 @ 23.85/3.67 X426 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X428:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X416 @ 23.85/3.67 X428 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X426 ) = 23.85/3.67 ( 23.85/3.67 X428 ) ) ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 emptyset ) = 23.85/3.67 ( 23.85/3.67 emptyset ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X430:$i, 23.85/3.67 X432:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X430 ) = 23.85/3.67 ( 23.85/3.67 X432 ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X434:$i, 23.85/3.67 X436:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X434 ) = 23.85/3.67 ( 23.85/3.67 X436 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X430 @ 23.85/3.67 X434 ) = 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X432 @ 23.85/3.67 X436 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X438:$i, 23.85/3.67 X440:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X438 ) = 23.85/3.67 ( 23.85/3.67 X440 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X438 ) = 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X440 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X442:$i, 23.85/3.67 X444:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X442 ) = 23.85/3.67 ( 23.85/3.67 X444 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 setunion @ 23.85/3.67 X442 ) = 23.85/3.67 ( 23.85/3.67 setunion @ 23.85/3.67 X444 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 omega ) = 23.85/3.67 ( 23.85/3.67 omega ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X446:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X448:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X446 @ 23.85/3.67 X448 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X450:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X446 @ 23.85/3.67 X450 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X448 ) = 23.85/3.67 ( 23.85/3.67 X450 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X452:$i, 23.85/3.67 X454:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X446 @ 23.85/3.67 X452 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X446 @ 23.85/3.67 X454 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X452 ) = 23.85/3.67 ( 23.85/3.67 X454 ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X456:( 23.85/3.67 $i > $o ), 23.85/3.67 X458:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X460:$i, 23.85/3.67 X462:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X460 ) = 23.85/3.67 ( 23.85/3.67 X462 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X456 @ 23.85/3.67 X460 ) <=> 23.85/3.67 ( 23.85/3.67 X458 @ 23.85/3.67 X462 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X464:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X456 @ 23.85/3.67 X464 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X466:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X456 @ 23.85/3.67 X466 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X464 ) = 23.85/3.67 ( 23.85/3.67 X466 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ?[ 23.85/3.67 X468:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X458 @ 23.85/3.67 X468 ) & 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X470:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X458 @ 23.85/3.67 X470 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X468 ) = 23.85/3.67 ( 23.85/3.67 X470 ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 descr @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_9:$i]: 23.85/3.67 ( 23.85/3.67 X456 @ V_9 ) ) ) = 23.85/3.67 ( 23.85/3.67 descr @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_10:$i]: 23.85/3.67 ( 23.85/3.67 X458 @ 23.85/3.67 V_10 ) ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X472:$i, 23.85/3.67 X474:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X472 ) = 23.85/3.67 ( 23.85/3.67 X474 ) ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X476:( 23.85/3.67 $i > $o ), 23.85/3.67 X478:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X480:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X480 @ 23.85/3.67 X472 ) => 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X482:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X482 @ 23.85/3.67 X474 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X480 ) = 23.85/3.67 ( 23.85/3.67 X482 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X476 @ 23.85/3.67 X480 ) <=> 23.85/3.67 ( 23.85/3.67 X478 @ 23.85/3.67 X482 ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 dsetconstr 23.85/3.67 @ 23.85/3.67 X472 @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_11:$i]: 23.85/3.67 ( 23.85/3.67 X476 @ 23.85/3.67 V_11 ) ) ) = 23.85/3.67 ( 23.85/3.67 dsetconstr 23.85/3.67 @ 23.85/3.67 X474 @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_12:$i]: 23.85/3.67 ( 23.85/3.67 X478 @ 23.85/3.67 V_12 ) ) ) ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X484:$i, 23.85/3.67 X486:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X488:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X488 @ 23.85/3.67 X484 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X488 @ 23.85/3.67 X486 ) ) ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X484 @ 23.85/3.67 X486 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X490:$i, 23.85/3.67 X492:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X490 ) = 23.85/3.67 ( 23.85/3.67 X492 ) ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X492 @ 23.85/3.67 X490 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X494:$i, 23.85/3.67 X496:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X494 ) = 23.85/3.67 ( 23.85/3.67 X496 ) ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X494 @ 23.85/3.67 X496 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X498:$i, 23.85/3.67 X500:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X502:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X502 @ 23.85/3.67 X498 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X502 @ 23.85/3.67 X500 ) ) ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X498 @ 23.85/3.67 X500 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X504:$i]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 emptyset @ 23.85/3.67 X504 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X506:$i, 23.85/3.67 X508:$i, 23.85/3.67 X510:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X506 @ 23.85/3.67 X508 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X510 @ 23.85/3.67 X506 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X510 @ 23.85/3.67 X508 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X512:$i, 23.85/3.67 X514:$i, 23.85/3.67 X516:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X512 @ 23.85/3.67 X514 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 in @ 23.85/3.67 X516 @ 23.85/3.67 X514 ) ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 in @ 23.85/3.67 X516 @ 23.85/3.67 X512 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X518:$i, 23.85/3.67 X520:$i, 23.85/3.67 X522:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X522 @ 23.85/3.67 X518 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 in @ 23.85/3.67 X522 @ 23.85/3.67 X520 ) ) => 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 subset @ 23.85/3.67 X518 @ 23.85/3.67 X520 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X524:$i, 23.85/3.67 X526:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 subset @ 23.85/3.67 X524 @ 23.85/3.67 X526 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X524 ) != 23.85/3.67 ( 23.85/3.67 X526 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X528:$i, 23.85/3.67 X530:$i, 23.85/3.67 X532:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X532 @ 23.85/3.67 X528 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 in @ 23.85/3.67 X532 @ 23.85/3.67 X530 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X528 ) != 23.85/3.67 ( 23.85/3.67 X530 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X534:$i]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X534 @ 23.85/3.67 X534 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X536:$i, 23.85/3.67 X538:$i, 23.85/3.67 X540:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X536 @ 23.85/3.67 X538 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X538 @ 23.85/3.67 X540 ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X536 @ 23.85/3.67 X540 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X542:$i, 23.85/3.67 X544:$i]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X544 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X542 @ 23.85/3.67 X544 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X546:$i, 23.85/3.67 X548:$i, 23.85/3.67 X550:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X546 @ 23.85/3.67 X550 ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X546 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X548 @ 23.85/3.67 X550 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X552:$i, 23.85/3.67 X554:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X552 @ 23.85/3.67 X554 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X552 @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X554 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X556:$i, 23.85/3.67 X558:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X556 @ 23.85/3.67 X558 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X558 @ 23.85/3.67 X556 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X556 ) = 23.85/3.67 ( 23.85/3.67 X558 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X560:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X560 @ 23.85/3.67 emptyset ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 X560 ) = 23.85/3.67 ( 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X562:$i, 23.85/3.67 X564:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X564 @ 23.85/3.67 X562 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X564 @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X562 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X566:$i, 23.85/3.67 X568:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X568 @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X566 ) ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X568 @ 23.85/3.67 X566 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X570:$i]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X570 @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X570 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X572:$i, 23.85/3.67 X574:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X572 @ 23.85/3.67 X574 ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X572 ) @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X574 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X576:$i, 23.85/3.67 X578:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 ( 23.85/3.67 dsetconstr 23.85/3.67 @ 23.85/3.67 X576 @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_13:$i]: 23.85/3.67 ( 23.85/3.67 X578 @ 23.85/3.67 V_13 ) ) ) @ 23.85/3.67 ( 23.85/3.67 powerset @ 23.85/3.67 X576 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X580:$i, 23.85/3.67 X582:( 23.85/3.67 $i > $o )]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 ( 23.85/3.67 dsetconstr 23.85/3.67 @ 23.85/3.67 X580 @ 23.85/3.67 ( 23.85/3.67 ^[ 23.85/3.67 V_14:$i]: 23.85/3.67 ( 23.85/3.67 X582 @ 23.85/3.67 V_14 ) ) ) @ 23.85/3.67 X580 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X584:$i, 23.85/3.67 X586:$i, 23.85/3.67 X588:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X588 @ 23.85/3.67 X584 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X588 @ 23.85/3.67 ( 23.85/3.67 binunion @ 23.85/3.67 X584 @ 23.85/3.67 X586 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X590:$i, 23.85/3.67 X592:$i]: 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X592 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X590 @ 23.85/3.67 ( 23.85/3.67 setadjoin 23.85/3.67 @ 23.85/3.67 X592 @ 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X594:$i, 23.85/3.67 X596:$i, 23.85/3.67 X598:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X598 @ 23.85/3.67 X596 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X598 @ 23.85/3.67 ( 23.85/3.67 binunion @ 23.85/3.67 X594 @ 23.85/3.67 X596 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X600:$i, 23.85/3.67 X602:$i, 23.85/3.67 X604:$i, 23.85/3.67 X606:$o]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X604 @ 23.85/3.67 ( 23.85/3.67 binunion @ 23.85/3.67 X600 @ 23.85/3.67 X602 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X604 @ 23.85/3.67 X600 ) => 23.85/3.67 ( 23.85/3.67 X606 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X604 @ 23.85/3.67 X602 ) => 23.85/3.67 ( 23.85/3.67 X606 ) ) => 23.85/3.67 ( 23.85/3.67 X606 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X608:$i, 23.85/3.67 X610:$i, 23.85/3.67 X612:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X612 @ 23.85/3.67 ( 23.85/3.67 binunion @ 23.85/3.67 X608 @ 23.85/3.67 X610 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X612 @ 23.85/3.67 X610 ) | 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X612 @ 23.85/3.67 X608 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X614:$i, 23.85/3.67 X616:$i]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X614 @ 23.85/3.67 ( 23.85/3.67 binunion @ 23.85/3.67 X614 @ 23.85/3.67 X616 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X618:$i, 23.85/3.67 X620:$i]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X620 @ 23.85/3.67 ( 23.85/3.67 binunion @ 23.85/3.67 X618 @ 23.85/3.67 X620 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X622:$i, 23.85/3.67 X624:$i, 23.85/3.67 X626:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X626 @ 23.85/3.67 X622 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X626 @ 23.85/3.67 X624 ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X626 @ 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X622 @ 23.85/3.67 X624 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X628:$i, 23.85/3.67 X630:$i, 23.85/3.67 X632:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X632 @ 23.85/3.67 X628 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X632 @ 23.85/3.67 X630 ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X632 @ 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X628 @ 23.85/3.67 X630 ) ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X634:$i, 23.85/3.67 X636:$i, 23.85/3.67 X638:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X638 @ 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X634 @ 23.85/3.67 X636 ) ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X638 @ 23.85/3.67 X634 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X640:$i, 23.85/3.67 X642:$i]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X640 @ 23.85/3.67 X642 ) @ 23.85/3.67 X640 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X644:$i, 23.85/3.67 X646:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X644 @ 23.85/3.67 X646 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X644 @ 23.85/3.67 X646 ) = 23.85/3.67 ( 23.85/3.67 X644 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X648:$i, 23.85/3.67 X650:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X648 @ 23.85/3.67 X650 ) = 23.85/3.67 ( 23.85/3.67 X650 ) ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X650 @ 23.85/3.67 X648 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X652:$i, 23.85/3.67 X654:$i, 23.85/3.67 X656:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X656 @ 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X652 @ 23.85/3.67 X654 ) ) => 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X656 @ 23.85/3.67 X654 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X658:$i, 23.85/3.67 X660:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ~( 23.85/3.67 ?[ 23.85/3.67 X662:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X662 @ 23.85/3.67 X658 ) & 23.85/3.67 ( 23.85/3.67 in @ 23.85/3.67 X662 @ 23.85/3.67 X660 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X658 @ 23.85/3.67 X660 ) = 23.85/3.67 ( 23.85/3.67 emptyset ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X664:$i, 23.85/3.67 X666:$i]: 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X664 @ 23.85/3.67 X666 ) @ 23.85/3.67 X666 ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X668:$i, 23.85/3.67 X670:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X670 @ 23.85/3.67 X668 ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X668 @ 23.85/3.67 X670 ) = 23.85/3.67 ( 23.85/3.67 X670 ) ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X672:$i, 23.85/3.67 X674:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X672 @ 23.85/3.67 X674 ) = 23.85/3.67 ( 23.85/3.67 X672 ) ) => 23.85/3.67 ( 23.85/3.67 subset @ 23.85/3.67 X672 @ 23.85/3.67 X674 ) ) ) => 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 ![ 23.85/3.67 X676:$i, 23.85/3.67 X678:$i, 23.85/3.67 X680:$i]: 23.85/3.67 ( 23.85/3.67 ( 23.85/3.67 binintersect 23.85/3.67 @ 23.85/3.67 X676 @ 23.85/3.68 ( 23.85/3.68 binunion @ 23.85/3.68 X678 @ 23.85/3.68 X680 ) ) = 23.85/3.68 ( 23.85/3.68 binunion @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X676 @ 23.85/3.68 X678 ) @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X676 @ 23.85/3.68 X680 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X682:$i, 23.85/3.68 X684:$i, 23.85/3.68 X686:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X686 @ 23.85/3.68 X682 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~( 23.85/3.68 in @ 23.85/3.68 X686 @ 23.85/3.68 X684 ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X686 @ 23.85/3.68 ( 23.85/3.68 setminus @ 23.85/3.68 X682 @ 23.85/3.68 X684 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X688:$i, 23.85/3.68 X690:$i, 23.85/3.68 X692:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X692 @ 23.85/3.68 ( 23.85/3.68 setminus @ 23.85/3.68 X688 @ 23.85/3.68 X690 ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X692 @ 23.85/3.68 X688 ) ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X694:$i, 23.85/3.68 X696:$i, 23.85/3.68 X698:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X698 @ 23.85/3.68 ( 23.85/3.68 setminus @ 23.85/3.68 X694 @ 23.85/3.68 X696 ) ) => 23.85/3.68 ( 23.85/3.68 ~( 23.85/3.68 in @ 23.85/3.68 X698 @ 23.85/3.68 X696 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 23.85/3.68 thf(zf_stmt_1, negated_conjecture, 23.85/3.68 (~( ( ![X4:$i,X6:$i]: 23.85/3.68 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 23.85/3.68 ( ( X4 ) = ( X6 ) ) ) ) => 23.85/3.68 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 23.85/3.68 ( ( ![X12:$i,X14:$i,X16:$i]: 23.85/3.68 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 23.85/3.68 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 23.85/3.68 ( ( ![X18:$i,X20:$i]: 23.85/3.68 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 23.85/3.68 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 23.85/3.68 ( ( ![X24:$i,X26:$i]: 23.85/3.68 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 23.85/3.68 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 23.85/3.68 ( ( in @ emptyset @ omega ) => 23.85/3.68 ( ( ![X30:$i]: 23.85/3.68 ( ( in @ X30 @ omega ) => 23.85/3.68 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 23.85/3.68 ( ( ![X32:$i]: 23.85/3.68 ( ( ( ![X34:$i]: 23.85/3.68 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 23.85/3.68 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 23.85/3.68 ( in @ emptyset @ X32 ) ) => 23.85/3.68 ( ![X36:$i]: 23.85/3.68 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 23.85/3.68 ( ( ![X38:( $i > $i > $o ),X40:$i]: 23.85/3.68 ( ( ![X42:$i]: 23.85/3.68 ( ( in @ X42 @ X40 ) => 23.85/3.68 ( ?[X44:$i]: 23.85/3.68 ( ( X38 @ X42 @ X44 ) & 23.85/3.68 ( ![X46:$i]: 23.85/3.68 ( ( X38 @ X42 @ X46 ) => 23.85/3.68 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 23.85/3.68 ( ?[X48:$i]: 23.85/3.68 ( ![X50:$i]: 23.85/3.68 ( ( in @ X50 @ X48 ) <=> 23.85/3.68 ( ?[X52:$i]: 23.85/3.68 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 23.85/3.68 ( ( ![X54:$i]: 23.85/3.68 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 23.85/3.68 ( ?[X58:$i]: 23.85/3.68 ( ( in @ X58 @ X54 ) & 23.85/3.68 ( ~( ?[X60:$i]: 23.85/3.68 ( ( in @ X60 @ X58 ) & 23.85/3.68 ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 23.85/3.68 ( ( ![X62:$i]: 23.85/3.68 ( ?[X64:$i]: 23.85/3.68 ( ( ![X96:$i]: 23.85/3.68 ( ( in @ X96 @ X64 ) => 23.85/3.68 ( ![X98:$i]: 23.85/3.68 ( ( in @ X98 @ X96 ) => 23.85/3.68 ( in @ X98 @ X62 ) ) ) ) ) & 23.85/3.68 ( ![X90:$i,X92:$i]: 23.85/3.68 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 23.85/3.68 ( ( ![X94:$i]: 23.85/3.68 ( ( in @ X94 @ X64 ) => 23.85/3.68 ( ( in @ X90 @ X94 ) <=> 23.85/3.68 ( in @ X92 @ X94 ) ) ) ) => 23.85/3.68 ( ( X90 ) = ( X92 ) ) ) ) ) & 23.85/3.68 ( ![X82:$i,X84:$i]: 23.85/3.68 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 23.85/3.68 ( ( ![X88:$i]: 23.85/3.68 ( ( in @ X88 @ X84 ) => 23.85/3.68 ( in @ X88 @ X82 ) ) ) | 23.85/3.68 ( ![X86:$i]: 23.85/3.68 ( ( in @ X86 @ X82 ) => 23.85/3.68 ( in @ X86 @ X84 ) ) ) ) ) ) & 23.85/3.68 ( ![X66:$i]: 23.85/3.68 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 23.85/3.68 ( ![X68:$i]: 23.85/3.68 ( ( in @ X68 @ X66 ) => 23.85/3.68 ( in @ X68 @ X62 ) ) ) ) => 23.85/3.68 ( ?[X72:$i,X74:$i]: 23.85/3.68 ( ( in @ X72 @ X64 ) & 23.85/3.68 ( in @ X74 @ X66 ) & 23.85/3.68 ( ~( ?[X80:$i]: 23.85/3.68 ( ( in @ X80 @ X72 ) & 23.85/3.68 ( in @ X80 @ X66 ) ) ) ) & 23.85/3.68 ( ![X76:$i]: 23.85/3.68 ( ( in @ X76 @ X64 ) => 23.85/3.68 ( ( in @ X74 @ X76 ) | 23.85/3.68 ( ![X78:$i]: 23.85/3.68 ( ( in @ X78 @ X76 ) => 23.85/3.68 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 23.85/3.68 ( ( ![X100:( $i > $o )]: 23.85/3.68 ( ( ?[X102:$i]: 23.85/3.68 ( ( X100 @ X102 ) & 23.85/3.68 ( ![X104:$i]: 23.85/3.68 ( ( X100 @ X104 ) => 23.85/3.68 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 23.85/3.68 ( X100 @ 23.85/3.68 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 23.85/3.68 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 23.85/3.68 ( ( in @ X110 @ X106 ) => 23.85/3.68 ( ( X108 @ X110 ) => 23.85/3.68 ( in @ 23.85/3.68 X110 @ 23.85/3.68 ( dsetconstr @ 23.85/3.68 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 23.85/3.68 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 23.85/3.68 ( ( in @ 23.85/3.68 X116 @ 23.85/3.68 ( dsetconstr @ 23.85/3.68 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 23.85/3.68 ( in @ X116 @ X112 ) ) ) => 23.85/3.68 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 23.85/3.68 ( ( in @ 23.85/3.68 X122 @ 23.85/3.68 ( dsetconstr @ 23.85/3.68 X118 @ 23.85/3.68 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 23.85/3.68 ( X120 @ X122 ) ) ) => 23.85/3.68 ( ( ![X124:( $i > $o )]: 23.85/3.68 ( ( ?[X126:$i]: 23.85/3.68 ( ( X124 @ X126 ) & 23.85/3.68 ( ![X128:$i]: 23.85/3.68 ( ( X124 @ X128 ) => 23.85/3.68 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 23.85/3.68 ( ?[X130:$i]: 23.85/3.68 ( ( X124 @ X130 ) & 23.85/3.68 ( ![X132:$i]: 23.85/3.68 ( ( X124 @ X132 ) => 23.85/3.68 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 23.85/3.68 ( ( ![X134:$o,X136:$i]: 23.85/3.68 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 23.85/3.68 ( X134 ) ) ) => 23.85/3.68 ( ( ![X138:$i]: 23.85/3.68 ( ( in @ X138 @ emptyset ) => 23.85/3.68 ( ![X140:$o]: ( X140 ) ) ) ) => 23.85/3.68 ( ( ![X142:$i]: 23.85/3.68 ( ~( in @ X142 @ emptyset ) ) ) => 23.85/3.68 ( ( ![X144:$i]: 23.85/3.68 ( ~( in @ X144 @ emptyset ) ) ) => 23.85/3.68 ( ( ![X146:( $i > $o )]: 23.85/3.68 ( ( ?[X148:$i]: 23.85/3.68 ( ( X146 @ X148 ) & 23.85/3.68 ( ![X150:$i]: 23.85/3.68 ( ( X146 @ X150 ) => 23.85/3.68 ( ( X148 ) = 23.85/3.68 ( X150 ) ) ) ) ) ) => 23.85/3.68 ( ?[X152:$i]: 23.85/3.68 ( X146 @ X152 ) ) ) ) => 23.85/3.68 ( ( ![X154:$i,X156:$i]: 23.85/3.68 ( ( ![X158:$i]: 23.85/3.68 ( ( in @ X158 @ X154 ) => 23.85/3.68 ( in @ X158 @ X156 ) ) ) => 23.85/3.68 ( ( ![X160:$i]: 23.85/3.68 ( ( in @ X160 @ X156 ) => 23.85/3.68 ( in @ X160 @ X154 ) ) ) => 23.85/3.68 ( ( X154 ) = ( X156 ) ) ) ) ) => 23.85/3.68 ( ( ![X162:$i]: 23.85/3.68 ( ( ![X164:$i]: 23.85/3.68 ( ~( in @ X164 @ X162 ) ) ) => 23.85/3.68 ( ( X162 ) = 23.85/3.68 ( emptyset ) ) ) ) => 23.85/3.68 ( ( ![X166:$i]: 23.85/3.68 ( ( ![X168:$i]: 23.85/3.68 ( ~( in @ 23.85/3.68 X168 @ X166 ) ) ) => 23.85/3.68 ( ( X166 ) = 23.85/3.68 ( emptyset ) ) ) ) => 23.85/3.68 ( ( ![X170:$i, 23.85/3.68 X172:( $i > $o ), 23.85/3.68 X174:$i]: 23.85/3.68 ( ( in @ X174 @ X170 ) => 23.85/3.68 ( ( in @ 23.85/3.68 X174 @ 23.85/3.68 ( dsetconstr @ 23.85/3.68 X170 @ 23.85/3.68 ( ^[V_5:$i]: 23.85/3.68 ( X172 @ 23.85/3.68 V_5 ) ) ) ) <=> 23.85/3.68 ( X172 @ X174 ) ) ) ) => 23.85/3.68 ( ( ![X176:$i]: 23.85/3.68 ( ( ( X176 ) != 23.85/3.68 ( emptyset ) ) => 23.85/3.68 ( ?[X178:$i]: 23.85/3.68 ( in @ 23.85/3.68 X178 @ X176 ) ) ) ) => 23.85/3.68 ( ( ![X180:$i, 23.85/3.68 X182:( 23.85/3.68 $i > $o ), 23.85/3.68 X184:$i]: 23.85/3.68 ( ( in @ 23.85/3.68 X184 @ X180 ) => 23.85/3.68 ( ( X182 @ X184 ) => 23.85/3.68 ( ( dsetconstr 23.85/3.68 @ 23.85/3.68 X180 @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_6:$i]: 23.85/3.68 ( 23.85/3.68 X182 @ 23.85/3.68 V_6 ) ) ) != 23.85/3.68 ( emptyset ) ) ) ) ) => 23.85/3.68 ( ( ![X186:$i]: 23.85/3.68 ( ( ?[X188:$i]: 23.85/3.68 ( in @ 23.85/3.68 X188 @ 23.85/3.68 X186 ) ) => 23.85/3.68 ( ( X186 ) != 23.85/3.68 ( emptyset ) ) ) ) => 23.85/3.68 ( ( ![X190:$i, 23.85/3.68 X192:$i]: 23.85/3.68 ( in @ 23.85/3.68 X190 @ 23.85/3.68 ( setadjoin 23.85/3.68 @ 23.85/3.68 X190 @ 23.85/3.68 X192 ) ) ) => 23.85/3.68 ( ( in @ 23.85/3.68 emptyset @ 23.85/3.68 ( setadjoin 23.85/3.68 @ 23.85/3.68 emptyset @ 23.85/3.68 emptyset ) ) => 23.85/3.68 ( ( ![ 23.85/3.68 X194:$i, 23.85/3.68 X196:$i, 23.85/3.68 X198:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X198 @ 23.85/3.68 X196 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X198 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X194 @ 23.85/3.68 X196 ) ) ) ) => 23.85/3.68 ( ( 23.85/3.68 ![ 23.85/3.68 X200:$i, 23.85/3.68 X202:$i, 23.85/3.68 X204:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X204 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X200 @ 23.85/3.68 X202 ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X206:$o]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X204 ) = 23.85/3.68 ( 23.85/3.68 X200 ) ) => 23.85/3.68 ( 23.85/3.68 X206 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X204 @ 23.85/3.68 X202 ) => 23.85/3.68 ( 23.85/3.68 X206 ) ) => 23.85/3.68 ( 23.85/3.68 X206 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X208:$i, 23.85/3.68 X210:$i, 23.85/3.68 X212:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X212 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X208 @ 23.85/3.68 X210 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X212 @ 23.85/3.68 X210 ) | 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X212 ) = 23.85/3.68 ( 23.85/3.68 X208 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X214:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 dsetconstr 23.85/3.68 @ 23.85/3.68 X214 @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_7:$i]: 23.85/3.68 ( 23.85/3.68 $true ) ) ) = 23.85/3.68 ( 23.85/3.68 X214 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X216:$i, 23.85/3.68 X218:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X220:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X220 @ 23.85/3.68 X218 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X220 @ 23.85/3.68 X216 ) ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X218 @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X216 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X222:$i]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 emptyset @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X222 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X224:$i]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 emptyset @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X224 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X226:$i, 23.85/3.68 X228:$i, 23.85/3.68 X230:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X228 @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X226 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X230 @ 23.85/3.68 X228 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X230 @ 23.85/3.68 X226 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X232:$i, 23.85/3.68 X234:$i, 23.85/3.68 X236:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X234 @ 23.85/3.68 X236 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X236 @ 23.85/3.68 X232 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X234 @ 23.85/3.68 ( 23.85/3.68 setunion 23.85/3.68 @ 23.85/3.68 X232 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X238:$i, 23.85/3.68 X240:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X240 @ 23.85/3.68 ( 23.85/3.68 setunion 23.85/3.68 @ 23.85/3.68 X238 ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X242:$o]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X244:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X240 @ 23.85/3.68 X244 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X244 @ 23.85/3.68 X238 ) => 23.85/3.68 ( 23.85/3.68 X242 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 X242 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X246:$i, 23.85/3.68 X248:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X248 @ 23.85/3.68 X246 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X248 @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 ( 23.85/3.68 setunion 23.85/3.68 @ 23.85/3.68 X246 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X250:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X252:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X250 @ 23.85/3.68 X252 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X254:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X250 @ 23.85/3.68 X254 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X252 ) = 23.85/3.68 ( 23.85/3.68 X254 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X256:$i]: 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X258:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X250 @ 23.85/3.68 X258 ) <=> 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X258 ) = 23.85/3.68 ( 23.85/3.68 X256 ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X260:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X260 ) != 23.85/3.68 ( 23.85/3.68 emptyset ) ) => 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X262:$i]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X262 @ 23.85/3.68 X260 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X264:$i, 23.85/3.68 X266:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X264 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X266 @ 23.85/3.68 emptyset ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X264 ) = 23.85/3.68 ( 23.85/3.68 X266 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X268:$i, 23.85/3.68 X270:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X268 ) != 23.85/3.68 ( 23.85/3.68 X270 ) ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X270 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X268 @ 23.85/3.68 emptyset ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X272:$i, 23.85/3.68 X274:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X272 ) = 23.85/3.68 ( 23.85/3.68 X274 ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X272 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X274 @ 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X276:$i, 23.85/3.68 X278:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X276 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X278 @ 23.85/3.68 emptyset ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X278 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X276 @ 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X280:$i, 23.85/3.68 X282:$i, 23.85/3.68 X284:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X284 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X280 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X282 @ 23.85/3.68 emptyset ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X284 ) = 23.85/3.68 ( 23.85/3.68 X282 ) ) | 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X284 ) = 23.85/3.68 ( 23.85/3.68 X280 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X286:$i, 23.85/3.68 X288:$i]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X286 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X286 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X288 @ 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X290:$i, 23.85/3.68 X292:$i]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X292 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X290 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X292 @ 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X294:$i, 23.85/3.68 X296:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X298:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X298 @ 23.85/3.68 X294 ) & 23.85/3.68 ( 23.85/3.68 X296 @ 23.85/3.68 X298 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 dsetconstr 23.85/3.68 @ 23.85/3.68 X294 @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_8:$i]: 23.85/3.68 ( 23.85/3.68 X296 @ 23.85/3.68 V_8 ) ) ) != 23.85/3.68 ( 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X300:( 23.85/3.68 $i > $o ), 23.85/3.68 X302:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X302 @ 23.85/3.68 emptyset ) => 23.85/3.68 ( 23.85/3.68 X300 @ 23.85/3.68 X302 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X304:$i, 23.85/3.68 X306:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X308:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X308 @ 23.85/3.68 X304 ) => 23.85/3.68 ( 23.85/3.68 X306 @ 23.85/3.68 X308 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X310:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X310 @ 23.85/3.68 X304 ) & 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 X306 @ 23.85/3.68 X310 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X312:$i, 23.85/3.68 X314:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X316:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X316 @ 23.85/3.68 X312 ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 X314 @ 23.85/3.68 X316 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X318:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X318 @ 23.85/3.68 X312 ) & 23.85/3.68 ( 23.85/3.68 X314 @ 23.85/3.68 X318 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X320:$i, 23.85/3.68 X322:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X324:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X324 @ 23.85/3.68 X320 ) & 23.85/3.68 ( 23.85/3.68 X322 @ 23.85/3.68 X324 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X326:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X326 @ 23.85/3.68 X320 ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 X322 @ 23.85/3.68 X326 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X328:$i, 23.85/3.68 X330:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X332:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X332 @ 23.85/3.68 X328 ) & 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 X330 @ 23.85/3.68 X332 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X334:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X334 @ 23.85/3.68 X328 ) => 23.85/3.68 ( 23.85/3.68 X330 @ 23.85/3.68 X334 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X336:$o]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X336 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 emptyset @ 23.85/3.68 ( 23.85/3.68 prop2set 23.85/3.68 @ 23.85/3.68 X336 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X338:$o]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X338 ) => 23.85/3.68 ( 23.85/3.68 set2prop 23.85/3.68 @ 23.85/3.68 ( 23.85/3.68 prop2set 23.85/3.68 @ 23.85/3.68 X338 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X340:$i, 23.85/3.68 X342:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X344:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X344 @ 23.85/3.68 X340 ) & 23.85/3.68 ( 23.85/3.68 X342 @ 23.85/3.68 X344 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X346:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X346 @ 23.85/3.68 X340 ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 X342 @ 23.85/3.68 X346 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X348:$i, 23.85/3.68 X350:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X352:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X352 @ 23.85/3.68 X348 ) => 23.85/3.68 ( 23.85/3.68 X350 @ 23.85/3.68 X352 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X354:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X354 @ 23.85/3.68 X348 ) & 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 X350 @ 23.85/3.68 X354 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X356:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X358:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X356 @ 23.85/3.68 X358 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X360:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X356 @ 23.85/3.68 X360 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X358 ) = 23.85/3.68 ( 23.85/3.68 X360 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X362:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X356 @ 23.85/3.68 X362 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X364:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X356 @ 23.85/3.68 X364 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X362 ) = 23.85/3.68 ( 23.85/3.68 X364 ) ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X366:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X368:$i]: 23.85/3.68 ( 23.85/3.68 X366 @ 23.85/3.68 X368 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X370:$i, 23.85/3.68 X372:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X366 @ 23.85/3.68 X370 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X366 @ 23.85/3.68 X372 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X370 ) = 23.85/3.68 ( 23.85/3.68 X372 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X374:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X366 @ 23.85/3.68 X374 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X376:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X366 @ 23.85/3.68 X376 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X374 ) = 23.85/3.68 ( 23.85/3.68 X376 ) ) ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X378:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X380:$i]: 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X382:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X378 @ 23.85/3.68 X382 ) <=> 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X382 ) = 23.85/3.68 ( 23.85/3.68 X380 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X384:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X378 @ 23.85/3.68 X384 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X386:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X378 @ 23.85/3.68 X386 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X384 ) = 23.85/3.68 ( 23.85/3.68 X386 ) ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X388:$i, 23.85/3.68 X390:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X388 ) = 23.85/3.68 ( 23.85/3.68 X390 ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X392:$i, 23.85/3.68 X394:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X392 ) = 23.85/3.68 ( 23.85/3.68 X394 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X392 @ 23.85/3.68 X388 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X394 @ 23.85/3.68 X390 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X396:$i, 23.85/3.68 X398:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X396 ) = 23.85/3.68 ( 23.85/3.68 X398 ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X400:$i, 23.85/3.68 X402:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X400 ) = 23.85/3.68 ( 23.85/3.68 X402 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X400 @ 23.85/3.68 X396 ) <=> 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X402 @ 23.85/3.68 X398 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X404:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X406:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X404 @ 23.85/3.68 X406 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X408:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X404 @ 23.85/3.68 X408 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X406 ) = 23.85/3.68 ( 23.85/3.68 X408 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X410:$i, 23.85/3.68 X412:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X404 @ 23.85/3.68 X410 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X404 @ 23.85/3.68 X412 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X410 ) = 23.85/3.68 ( 23.85/3.68 X412 ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X414:( 23.85/3.68 $i > $o ), 23.85/3.68 X416:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X418:$i, 23.85/3.68 X420:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X418 ) = 23.85/3.68 ( 23.85/3.68 X420 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X414 @ 23.85/3.68 X418 ) <=> 23.85/3.68 ( 23.85/3.68 X416 @ 23.85/3.68 X420 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X422:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X414 @ 23.85/3.68 X422 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X424:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X414 @ 23.85/3.68 X424 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X422 ) = 23.85/3.68 ( 23.85/3.68 X424 ) ) ) ) ) ) <=> 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X426:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X416 @ 23.85/3.68 X426 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X428:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X416 @ 23.85/3.68 X428 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X426 ) = 23.85/3.68 ( 23.85/3.68 X428 ) ) ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 emptyset ) = 23.85/3.68 ( 23.85/3.68 emptyset ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X430:$i, 23.85/3.68 X432:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X430 ) = 23.85/3.68 ( 23.85/3.68 X432 ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X434:$i, 23.85/3.68 X436:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X434 ) = 23.85/3.68 ( 23.85/3.68 X436 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X430 @ 23.85/3.68 X434 ) = 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X432 @ 23.85/3.68 X436 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X438:$i, 23.85/3.68 X440:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X438 ) = 23.85/3.68 ( 23.85/3.68 X440 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X438 ) = 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X440 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X442:$i, 23.85/3.68 X444:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X442 ) = 23.85/3.68 ( 23.85/3.68 X444 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 setunion 23.85/3.68 @ 23.85/3.68 X442 ) = 23.85/3.68 ( 23.85/3.68 setunion 23.85/3.68 @ 23.85/3.68 X444 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 omega ) = 23.85/3.68 ( 23.85/3.68 omega ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X446:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X448:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X446 @ 23.85/3.68 X448 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X450:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X446 @ 23.85/3.68 X450 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X448 ) = 23.85/3.68 ( 23.85/3.68 X450 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X452:$i, 23.85/3.68 X454:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X446 @ 23.85/3.68 X452 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X446 @ 23.85/3.68 X454 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X452 ) = 23.85/3.68 ( 23.85/3.68 X454 ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X456:( 23.85/3.68 $i > $o ), 23.85/3.68 X458:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X460:$i, 23.85/3.68 X462:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X460 ) = 23.85/3.68 ( 23.85/3.68 X462 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X456 @ 23.85/3.68 X460 ) <=> 23.85/3.68 ( 23.85/3.68 X458 @ 23.85/3.68 X462 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X464:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X456 @ 23.85/3.68 X464 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X466:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X456 @ 23.85/3.68 X466 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X464 ) = 23.85/3.68 ( 23.85/3.68 X466 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X468:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X458 @ 23.85/3.68 X468 ) & 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X470:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X458 @ 23.85/3.68 X470 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X468 ) = 23.85/3.68 ( 23.85/3.68 X470 ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 descr @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_9:$i]: 23.85/3.68 ( 23.85/3.68 X456 @ 23.85/3.68 V_9 ) ) ) = 23.85/3.68 ( 23.85/3.68 descr @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_10:$i]: 23.85/3.68 ( 23.85/3.68 X458 @ 23.85/3.68 V_10 ) ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X472:$i, 23.85/3.68 X474:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X472 ) = 23.85/3.68 ( 23.85/3.68 X474 ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X476:( 23.85/3.68 $i > $o ), 23.85/3.68 X478:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X480:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X480 @ 23.85/3.68 X472 ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X482:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X482 @ 23.85/3.68 X474 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X480 ) = 23.85/3.68 ( 23.85/3.68 X482 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X476 @ 23.85/3.68 X480 ) <=> 23.85/3.68 ( 23.85/3.68 X478 @ 23.85/3.68 X482 ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 dsetconstr 23.85/3.68 @ 23.85/3.68 X472 @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_11:$i]: 23.85/3.68 ( 23.85/3.68 X476 @ 23.85/3.68 V_11 ) ) ) = 23.85/3.68 ( 23.85/3.68 dsetconstr 23.85/3.68 @ 23.85/3.68 X474 @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_12:$i]: 23.85/3.68 ( 23.85/3.68 X478 @ 23.85/3.68 V_12 ) ) ) ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X484:$i, 23.85/3.68 X486:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X488:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X488 @ 23.85/3.68 X484 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X488 @ 23.85/3.68 X486 ) ) ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X484 @ 23.85/3.68 X486 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X490:$i, 23.85/3.68 X492:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X490 ) = 23.85/3.68 ( 23.85/3.68 X492 ) ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X492 @ 23.85/3.68 X490 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X494:$i, 23.85/3.68 X496:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X494 ) = 23.85/3.68 ( 23.85/3.68 X496 ) ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X494 @ 23.85/3.68 X496 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X498:$i, 23.85/3.68 X500:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X502:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X502 @ 23.85/3.68 X498 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X502 @ 23.85/3.68 X500 ) ) ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X498 @ 23.85/3.68 X500 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X504:$i]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 emptyset @ 23.85/3.68 X504 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X506:$i, 23.85/3.68 X508:$i, 23.85/3.68 X510:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X506 @ 23.85/3.68 X508 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X510 @ 23.85/3.68 X506 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X510 @ 23.85/3.68 X508 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X512:$i, 23.85/3.68 X514:$i, 23.85/3.68 X516:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X512 @ 23.85/3.68 X514 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X516 @ 23.85/3.68 X514 ) ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X516 @ 23.85/3.68 X512 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X518:$i, 23.85/3.68 X520:$i, 23.85/3.68 X522:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X522 @ 23.85/3.68 X518 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X522 @ 23.85/3.68 X520 ) ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X518 @ 23.85/3.68 X520 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X524:$i, 23.85/3.68 X526:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X524 @ 23.85/3.68 X526 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X524 ) != 23.85/3.68 ( 23.85/3.68 X526 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X528:$i, 23.85/3.68 X530:$i, 23.85/3.68 X532:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X532 @ 23.85/3.68 X528 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X532 @ 23.85/3.68 X530 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X528 ) != 23.85/3.68 ( 23.85/3.68 X530 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X534:$i]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X534 @ 23.85/3.68 X534 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X536:$i, 23.85/3.68 X538:$i, 23.85/3.68 X540:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X536 @ 23.85/3.68 X538 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X538 @ 23.85/3.68 X540 ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X536 @ 23.85/3.68 X540 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X542:$i, 23.85/3.68 X544:$i]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X544 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X542 @ 23.85/3.68 X544 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X546:$i, 23.85/3.68 X548:$i, 23.85/3.68 X550:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X546 @ 23.85/3.68 X550 ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X546 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X548 @ 23.85/3.68 X550 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X552:$i, 23.85/3.68 X554:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X552 @ 23.85/3.68 X554 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X552 @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X554 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X556:$i, 23.85/3.68 X558:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X556 @ 23.85/3.68 X558 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X558 @ 23.85/3.68 X556 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X556 ) = 23.85/3.68 ( 23.85/3.68 X558 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X560:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X560 @ 23.85/3.68 emptyset ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 X560 ) = 23.85/3.68 ( 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X562:$i, 23.85/3.68 X564:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X564 @ 23.85/3.68 X562 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X564 @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X562 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X566:$i, 23.85/3.68 X568:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X568 @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X566 ) ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X568 @ 23.85/3.68 X566 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X570:$i]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X570 @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X570 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X572:$i, 23.85/3.68 X574:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X572 @ 23.85/3.68 X574 ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X572 ) @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X574 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X576:$i, 23.85/3.68 X578:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 ( 23.85/3.68 dsetconstr 23.85/3.68 @ 23.85/3.68 X576 @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_13:$i]: 23.85/3.68 ( 23.85/3.68 X578 @ 23.85/3.68 V_13 ) ) ) @ 23.85/3.68 ( 23.85/3.68 powerset 23.85/3.68 @ 23.85/3.68 X576 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X580:$i, 23.85/3.68 X582:( 23.85/3.68 $i > $o )]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 ( 23.85/3.68 dsetconstr 23.85/3.68 @ 23.85/3.68 X580 @ 23.85/3.68 ( 23.85/3.68 ^[ 23.85/3.68 V_14:$i]: 23.85/3.68 ( 23.85/3.68 X582 @ 23.85/3.68 V_14 ) ) ) @ 23.85/3.68 X580 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X584:$i, 23.85/3.68 X586:$i, 23.85/3.68 X588:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X588 @ 23.85/3.68 X584 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X588 @ 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 X584 @ 23.85/3.68 X586 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X590:$i, 23.85/3.68 X592:$i]: 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X592 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X590 @ 23.85/3.68 ( 23.85/3.68 setadjoin 23.85/3.68 @ 23.85/3.68 X592 @ 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X594:$i, 23.85/3.68 X596:$i, 23.85/3.68 X598:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X598 @ 23.85/3.68 X596 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X598 @ 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 X594 @ 23.85/3.68 X596 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X600:$i, 23.85/3.68 X602:$i, 23.85/3.68 X604:$i, 23.85/3.68 X606:$o]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X604 @ 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 X600 @ 23.85/3.68 X602 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X604 @ 23.85/3.68 X600 ) => 23.85/3.68 ( 23.85/3.68 X606 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X604 @ 23.85/3.68 X602 ) => 23.85/3.68 ( 23.85/3.68 X606 ) ) => 23.85/3.68 ( 23.85/3.68 X606 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X608:$i, 23.85/3.68 X610:$i, 23.85/3.68 X612:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X612 @ 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 X608 @ 23.85/3.68 X610 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X612 @ 23.85/3.68 X610 ) | 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X612 @ 23.85/3.68 X608 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X614:$i, 23.85/3.68 X616:$i]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X614 @ 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 X614 @ 23.85/3.68 X616 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X618:$i, 23.85/3.68 X620:$i]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X620 @ 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 X618 @ 23.85/3.68 X620 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X622:$i, 23.85/3.68 X624:$i, 23.85/3.68 X626:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X626 @ 23.85/3.68 X622 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X626 @ 23.85/3.68 X624 ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X626 @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X622 @ 23.85/3.68 X624 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X628:$i, 23.85/3.68 X630:$i, 23.85/3.68 X632:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X632 @ 23.85/3.68 X628 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X632 @ 23.85/3.68 X630 ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X632 @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X628 @ 23.85/3.68 X630 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X634:$i, 23.85/3.68 X636:$i, 23.85/3.68 X638:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X638 @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X634 @ 23.85/3.68 X636 ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X638 @ 23.85/3.68 X634 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X640:$i, 23.85/3.68 X642:$i]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X640 @ 23.85/3.68 X642 ) @ 23.85/3.68 X640 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X644:$i, 23.85/3.68 X646:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X644 @ 23.85/3.68 X646 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X644 @ 23.85/3.68 X646 ) = 23.85/3.68 ( 23.85/3.68 X644 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X648:$i, 23.85/3.68 X650:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X648 @ 23.85/3.68 X650 ) = 23.85/3.68 ( 23.85/3.68 X650 ) ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X650 @ 23.85/3.68 X648 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X652:$i, 23.85/3.68 X654:$i, 23.85/3.68 X656:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X656 @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X652 @ 23.85/3.68 X654 ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X656 @ 23.85/3.68 X654 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X658:$i, 23.85/3.68 X660:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 ?[ 23.85/3.68 X662:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X662 @ 23.85/3.68 X658 ) & 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X662 @ 23.85/3.68 X660 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X658 @ 23.85/3.68 X660 ) = 23.85/3.68 ( 23.85/3.68 emptyset ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X664:$i, 23.85/3.68 X666:$i]: 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X664 @ 23.85/3.68 X666 ) @ 23.85/3.68 X666 ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X668:$i, 23.85/3.68 X670:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X670 @ 23.85/3.68 X668 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X668 @ 23.85/3.68 X670 ) = 23.85/3.68 ( 23.85/3.68 X670 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X672:$i, 23.85/3.68 X674:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X672 @ 23.85/3.68 X674 ) = 23.85/3.68 ( 23.85/3.68 X672 ) ) => 23.85/3.68 ( 23.85/3.68 subset @ 23.85/3.68 X672 @ 23.85/3.68 X674 ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X676:$i, 23.85/3.68 X678:$i, 23.85/3.68 X680:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X676 @ 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 X678 @ 23.85/3.68 X680 ) ) = 23.85/3.68 ( 23.85/3.68 binunion 23.85/3.68 @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X676 @ 23.85/3.68 X678 ) @ 23.85/3.68 ( 23.85/3.68 binintersect 23.85/3.68 @ 23.85/3.68 X676 @ 23.85/3.68 X680 ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X682:$i, 23.85/3.68 X684:$i, 23.85/3.68 X686:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X686 @ 23.85/3.68 X682 ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X686 @ 23.85/3.68 X684 ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X686 @ 23.85/3.68 ( 23.85/3.68 setminus 23.85/3.68 @ 23.85/3.68 X682 @ 23.85/3.68 X684 ) ) ) ) ) => 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X688:$i, 23.85/3.68 X690:$i, 23.85/3.68 X692:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X692 @ 23.85/3.68 ( 23.85/3.68 setminus 23.85/3.68 @ 23.85/3.68 X688 @ 23.85/3.68 X690 ) ) => 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X692 @ 23.85/3.68 X688 ) ) ) => 23.85/3.68 ( 23.85/3.68 ![ 23.85/3.68 X694:$i, 23.85/3.68 X696:$i, 23.85/3.68 X698:$i]: 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X698 @ 23.85/3.68 ( 23.85/3.68 setminus 23.85/3.68 @ 23.85/3.68 X694 @ 23.85/3.68 X696 ) ) => 23.85/3.68 ( 23.85/3.68 ~ 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 X698 @ 23.85/3.68 X696 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 23.85/3.68 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 23.85/3.68 thf(zip_derived_cl1, plain, 23.85/3.68 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((((!!) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ Y0) <=> (in @ 23.85/3.68 Y2 @ Y1)))))) => 23.85/3.68 (((Y0) = (Y1))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ 23.85/3.68 (setadjoin @ Y0 @ Y1)) <=> 23.85/3.68 (((in @ Y2 @ Y1) | 23.85/3.68 (((Y2) = (Y0)))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((in @ Y1 @ (powerset @ Y0)) <=> 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ Y1) => 23.85/3.68 (in @ Y2 @ Y0)))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((in @ Y1 @ (setunion @ Y0)) <=> 23.85/3.68 (((??) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y1 @ Y2) & 23.85/3.68 (in @ Y2 @ Y0)))))))))))))) => 23.85/3.68 (((in @ emptyset @ omega) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((in @ Y0 @ omega) => (in @ 23.85/3.68 (setadjoin @ Y0 @ Y0) @ omega)))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((((((!!) @ (^[Y1 : $i]: 23.85/3.68 (((((in @ Y1 @ Y0) & 23.85/3.68 (in @ Y1 @ omega))) => 23.85/3.68 (in @ 23.85/3.68 (setadjoin @ Y1 @ Y1) @ 23.85/3.68 Y0)))))) & 23.85/3.68 (in @ emptyset @ Y0))) => 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((in @ Y1 @ omega) => 23.85/3.68 (in @ Y1 @ Y0))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((((!!) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (((??) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2 @ 23.85/3.68 Y3) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2 @ 23.85/3.68 Y4) => 23.85/3.68 (( 23.85/3.68 (Y3) = 23.85/3.68 (Y4)))))))))))))))))) => 23.85/3.68 (((??) @ (^[Y2 : $i]: 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y2) <=> 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y1) & 23.85/3.68 (Y0 @ 23.85/3.68 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.68 (((??) @ (^[Y1 : $i]: 23.85/3.68 (((in @ Y1 @ Y0) & 23.85/3.68 (((~) @ (((??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) & 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((??) @ (^[Y1 : $i]: 23.85/3.68 (((((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y2) => 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y0))))))))))) & 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y0) & 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y4) <=> 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y4)))))))) => 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))))))))))))) & 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y1) & 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y3) => 23.85/3.68 (in @ 23.85/3.68 Y4 @ Y2)))))) | 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y2) => 23.85/3.68 (in @ 23.85/3.68 Y4 @ Y3)))))))))))))))) & 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y2)))) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y2) => 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y0)))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 Y3 @ Y1) & 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 Y4 @ Y2) & 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y5 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y5 @ 23.85/3.68 Y3) & 23.85/3.68 (in @ 23.85/3.68 Y5 @ Y2)))))))) & 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y5 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y5 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y5) | 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y6 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y6 @ 23.85/3.68 Y5) => 23.85/3.68 (in @ 23.85/3.68 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.68 (((((??) @ (^[Y1 : $i]: 23.85/3.68 (((Y0 @ Y1) & 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (((Y0 @ Y2) => 23.85/3.68 (((Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (Y0 @ 23.85/3.68 (descr @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (Y1 @ 23.85/3.68 Y2) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (Y1 @ Y3))))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 (^[Y3 : $i]: 23.85/3.68 (Y1 @ Y3)))) => 23.85/3.68 (in @ Y2 @ 23.85/3.68 Y0)))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (((in @ 23.85/3.68 Y2 @ 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (Y1 @ Y3)))) => 23.85/3.68 (Y1 @ Y2)))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.68 (((((??) @ (^[Y1 : $i]: 23.85/3.68 (((Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (((??) @ (^[Y1 : $i]: 23.85/3.68 (((Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2)))))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $o]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((in @ 23.85/3.68 Y1 @ 23.85/3.68 (prop2set @ 23.85/3.68 Y0)) => 23.85/3.68 (Y0))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((in @ Y0 @ 23.85/3.68 emptyset) => 23.85/3.68 (((!!) @ (^[Y1 : $o]: 23.85/3.68 (Y1))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((~) @ (in @ Y0 @ 23.85/3.68 emptyset)))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((~) @ (in @ 23.85/3.68 Y0 @ 23.85/3.68 emptyset)))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.68 (((((??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (((??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (Y0 @ Y1))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1)))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))) => 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y1 @ Y0)))))) => 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (emptyset)))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y1 @ Y0)))))) => 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (emptyset)))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (Y1 @ Y3)))) <=> 23.85/3.68 (Y1 @ Y2)))))))))))))) => 23.85/3.68 (((((!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (((((Y0) != 23.85/3.68 (emptyset))) => 23.85/3.68 (((??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y1 @ Y0))))))))) => 23.85/3.68 (((((!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (Y1 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (Y1 @ Y3))) != 23.85/3.68 (emptyset)))))))))))))))) => 23.85/3.68 (((((!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y1 @ Y0)))) => 23.85/3.68 (( 23.85/3.68 (Y0) != 23.85/3.68 (emptyset)))))))) => 23.85/3.68 (((((!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y0 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y0 @ Y1)))))))) => 23.85/3.68 (((in @ 23.85/3.68 emptyset @ 23.85/3.68 (setadjoin @ 23.85/3.68 emptyset @ 23.85/3.68 emptyset)) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y0 @ Y1))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y0))) => 23.85/3.68 (Y3))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (Y3))) => 23.85/3.68 (Y3))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) | 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y0)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 ($true))) = 23.85/3.68 (Y0)))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))) => 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 Y0)))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (in @ 23.85/3.68 emptyset @ 23.85/3.68 (powerset @ 23.85/3.68 Y0))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (in @ 23.85/3.68 emptyset @ 23.85/3.68 (powerset @ 23.85/3.68 Y0))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 Y0)) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 setunion @ 23.85/3.68 Y0))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 setunion @ 23.85/3.68 Y0)) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 Y3) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y0) => 23.85/3.68 (Y2)))))))) => 23.85/3.68 (Y2)))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 ( 23.85/3.68 setunion @ 23.85/3.68 Y0))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) <=> 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y1)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) != 23.85/3.68 (emptyset))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y1 @ Y0))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset)) => 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) != 23.85/3.68 (Y1))) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y0 @ 23.85/3.68 emptyset)))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (in @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset)))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset)) => 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y0 @ 23.85/3.68 emptyset)))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y1))) | 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y0)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y0 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y0 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y0 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (Y1 @ Y2)))))) => 23.85/3.68 (( 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (Y1 @ Y2))) != 23.85/3.68 (emptyset))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset) => 23.85/3.68 (Y0 @ Y1))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (Y1 @ Y2)))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 Y1 @ Y2)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 Y1 @ Y2)))))))) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (Y1 @ Y2)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (Y1 @ Y2)))))))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 Y1 @ Y2)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 Y1 @ Y2)))))))) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (Y1 @ Y2)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $o]: 23.85/3.68 (( 23.85/3.68 (Y0) => 23.85/3.68 (in @ 23.85/3.68 emptyset @ 23.85/3.68 ( 23.85/3.68 prop2set @ 23.85/3.68 Y0))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $o]: 23.85/3.68 (( 23.85/3.68 (Y0) => 23.85/3.68 (set2prop @ 23.85/3.68 ( 23.85/3.68 prop2set @ 23.85/3.68 Y0))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (Y1 @ Y2)))))))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 Y1 @ Y2)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (Y1 @ Y2)))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 Y1 @ Y2)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2)))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (Y0 @ Y1)))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2)))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) <=> 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y1))))))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2)))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y1))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) <=> 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y1))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2)))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))) => 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) <=> 23.85/3.68 (Y1 @ Y3))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y3) => 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))))))))))))) <=> 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y1 @ 23.85/3.68 Y2) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (Y1 @ 23.85/3.68 Y3) => 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))))))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (emptyset) = 23.85/3.68 (emptyset))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))) => 23.85/3.68 (( 23.85/3.68 (setadjoin @ 23.85/3.68 Y0 @ 23.85/3.68 Y2) = 23.85/3.68 (setadjoin @ 23.85/3.68 Y1 @ Y3))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (( 23.85/3.68 (powerset @ 23.85/3.68 Y0) = 23.85/3.68 (powerset @ 23.85/3.68 Y1))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (( 23.85/3.68 (setunion @ 23.85/3.68 Y0) = 23.85/3.68 (setunion @ 23.85/3.68 Y1))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (omega) = 23.85/3.68 (omega))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2)))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))) => 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) <=> 23.85/3.68 (Y1 @ Y3))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y3) => 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y1 @ 23.85/3.68 Y2) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (Y1 @ 23.85/3.68 Y3) => 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))))))))))))) => 23.85/3.68 (( 23.85/3.68 (descr @ 23.85/3.68 ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (Y0 @ Y2))) = 23.85/3.68 (descr @ 23.85/3.68 ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (Y1 @ Y2))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i > $o]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y5 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y5 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y4) = 23.85/3.68 (Y5))) => 23.85/3.68 (( 23.85/3.68 (Y2 @ 23.85/3.68 Y4) <=> 23.85/3.68 (Y3 @ Y5))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (Y2 @ Y4))) = 23.85/3.68 (dsetconstr @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (Y3 @ Y4))))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1)))))) => 23.85/3.68 (subset @ 23.85/3.68 Y0 @ Y1))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (subset @ 23.85/3.68 Y1 @ Y0))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))) => 23.85/3.68 (subset @ 23.85/3.68 Y0 @ Y1))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1)))))) => 23.85/3.68 (subset @ 23.85/3.68 Y0 @ Y1))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (subset @ 23.85/3.68 emptyset @ 23.85/3.68 Y0)))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1)))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y2 @ Y1))) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y2 @ Y0)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y2 @ Y1))) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 subset @ 23.85/3.68 Y0 @ Y1)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 subset @ 23.85/3.68 Y0 @ Y1))) => 23.85/3.68 (( 23.85/3.68 (Y0) != 23.85/3.68 (Y1))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y2 @ Y1))) => 23.85/3.68 (( 23.85/3.68 (Y0) != 23.85/3.68 (Y1)))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (subset @ 23.85/3.68 Y0 @ Y0)))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y1 @ 23.85/3.68 Y2) => 23.85/3.68 (subset @ 23.85/3.68 Y0 @ Y2)))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (subset @ 23.85/3.68 Y1 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y0 @ Y1)))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 setadjoin @ 23.85/3.68 Y1 @ Y2))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 Y1)))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y1 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 emptyset) => 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (emptyset)))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y1 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 Y0)))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 Y0)) => 23.85/3.68 (subset @ 23.85/3.68 Y1 @ Y0))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y0 @ 23.85/3.68 (powerset @ 23.85/3.68 Y0))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (subset @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 Y0) @ 23.85/3.68 ( 23.85/3.68 powerset @ 23.85/3.68 Y1)))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (in @ 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 (^[Y2 : $i]: 23.85/3.68 (Y1 @ Y2))) @ 23.85/3.68 (powerset @ 23.85/3.68 Y0)))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i > $o]: 23.85/3.68 (subset @ 23.85/3.68 (dsetconstr @ 23.85/3.68 Y0 @ 23.85/3.68 (^[Y2 : $i]: 23.85/3.68 (Y1 @ Y2))) @ 23.85/3.68 Y0))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binunion @ 23.85/3.68 Y0 @ Y1))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y1 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y0 @ 23.85/3.68 (setadjoin @ 23.85/3.68 Y1 @ 23.85/3.68 emptyset))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binunion @ 23.85/3.68 Y0 @ Y1))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $o]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binunion @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (Y3))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (Y3))) => 23.85/3.68 (Y3))))))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binunion @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) | 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 (binunion @ 23.85/3.68 Y0 @ Y1)))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (subset @ 23.85/3.68 Y1 @ 23.85/3.68 (binunion @ 23.85/3.68 Y0 @ Y1)))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binintersect @ 23.85/3.68 Y0 @ Y1))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (subset @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binintersect @ 23.85/3.68 Y0 @ Y1))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binintersect @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (subset @ 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ Y1) @ 23.85/3.68 Y0))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) = 23.85/3.68 (Y0))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) = 23.85/3.68 (Y1))) => 23.85/3.68 (subset @ 23.85/3.68 Y1 @ Y0))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 binintersect @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1)))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) & 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1)))))))) => 23.85/3.68 (( 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) = 23.85/3.68 (emptyset))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (subset @ 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ Y1) @ 23.85/3.68 Y1))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (subset @ 23.85/3.68 Y1 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) = 23.85/3.68 (Y1))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ 23.85/3.68 Y1) = 23.85/3.68 (Y0))) => 23.85/3.68 (subset @ 23.85/3.68 Y0 @ Y1))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (binintersect @ 23.85/3.68 Y0 @ 23.85/3.68 ( 23.85/3.68 binunion @ 23.85/3.68 Y1 @ Y2)) = 23.85/3.68 (binunion @ 23.85/3.68 ( 23.85/3.68 binintersect @ 23.85/3.68 Y0 @ Y1) @ 23.85/3.68 ( 23.85/3.68 binintersect @ 23.85/3.68 Y0 @ Y2))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y2 @ Y1))) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 setminus @ 23.85/3.68 Y0 @ Y1))))))))))))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 setminus @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))))))))) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y0 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 ( 23.85/3.68 setminus @ 23.85/3.68 Y0 @ Y1)) => 23.85/3.68 (( 23.85/3.68 (~) @ ( 23.85/3.68 in @ 23.85/3.68 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.68 inference('cnf', [status(esa)], [zf_stmt_1])). 23.85/3.68 thf(zip_derived_cl8, plain, 23.85/3.68 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((((!!) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ Y0) <=> (in @ 23.85/3.68 Y2 @ Y1)))))) => 23.85/3.68 (((Y0) = (Y1))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ 23.85/3.68 (setadjoin @ Y0 @ Y1)) <=> 23.85/3.68 (((in @ Y2 @ Y1) | 23.85/3.68 (((Y2) = (Y0)))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((in @ Y1 @ (powerset @ Y0)) <=> 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y2 @ Y1) => 23.85/3.68 (in @ Y2 @ Y0)))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((in @ Y1 @ (setunion @ Y0)) <=> 23.85/3.68 (((??) @ (^[Y2 : $i]: 23.85/3.68 (((in @ Y1 @ Y2) & 23.85/3.68 (in @ Y2 @ Y0)))))))))))))) => 23.85/3.68 (((in @ emptyset @ omega) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((in @ Y0 @ omega) => (in @ 23.85/3.68 (setadjoin @ Y0 @ Y0) @ omega)))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((((((!!) @ (^[Y1 : $i]: 23.85/3.68 (((((in @ Y1 @ Y0) & 23.85/3.68 (in @ Y1 @ omega))) => 23.85/3.68 (in @ 23.85/3.68 (setadjoin @ Y1 @ Y1) @ 23.85/3.68 Y0)))))) & 23.85/3.68 (in @ emptyset @ Y0))) => 23.85/3.68 (((!!) @ (^[Y1 : $i]: 23.85/3.68 (((in @ Y1 @ omega) => 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( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) & 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((??) @ (^[Y1 : $i]: 23.85/3.68 (((((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y2) => 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y0))))))))))) & 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y0) & 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y4) <=> 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y4)))))))) => 23.85/3.68 (( 23.85/3.68 (Y2) = 23.85/3.68 (Y3))))))))))))) & 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y1) & 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y3) => 23.85/3.68 (in @ 23.85/3.68 Y4 @ Y2)))))) | 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y2) => 23.85/3.68 (in @ 23.85/3.68 Y4 @ Y3)))))))))))))))) & 23.85/3.68 (((!!) @ (^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y2)))) & 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y3 @ 23.85/3.68 Y2) => 23.85/3.68 (in @ 23.85/3.68 Y3 @ Y0)))))))) => 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y3 : $i]: 23.85/3.68 (( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y4 : $i]: 23.85/3.68 (( 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 Y3 @ Y1) & 23.85/3.68 ( 23.85/3.68 in @ 23.85/3.68 Y4 @ Y2) & 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 (~) @ ( 23.85/3.68 ( 23.85/3.68 (??) @ ( 23.85/3.68 ^[Y5 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y5 @ 23.85/3.68 Y3) & 23.85/3.68 (in @ 23.85/3.68 Y5 @ Y2)))))))) & 23.85/3.68 ( 23.85/3.68 ( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y5 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y5 @ 23.85/3.68 Y1) => 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y4 @ 23.85/3.68 Y5) | 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y6 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y6 @ 23.85/3.68 Y5) => 23.85/3.68 (in @ 23.85/3.68 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.68 (((((??) @ (^[Y1 : $i]: 23.85/3.68 (((Y0 @ Y1) & 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (((Y0 @ Y2) => 23.85/3.68 (((Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (Y0 @ (descr @ 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(( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (Y0 @ 23.85/3.68 Y2) => 23.85/3.68 (( 23.85/3.68 (Y1) = 23.85/3.68 (Y2))))))))))))) => 23.85/3.68 (((??) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (Y0 @ Y1))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.68 (((!!) @ ( 23.85/3.68 ^[Y1 : $i]: 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y0) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y1)))))) => 23.85/3.68 (( 23.85/3.68 (( 23.85/3.68 (!!) @ ( 23.85/3.68 ^[Y2 : $i]: 23.85/3.68 (( 23.85/3.68 (in @ 23.85/3.68 Y2 @ 23.85/3.68 Y1) => 23.85/3.68 (in @ 23.85/3.68 Y2 @ Y0)))))) => 23.85/3.68 (( 23.85/3.68 (Y0) = 23.85/3.68 (Y1))))))))))))) => 23.85/3.68 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ Y0)))))) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ Y0)))))) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 dsetconstr @ 23.85/3.69 Y0 @ Y1)) <=> 23.85/3.69 (Y1 @ Y2)))))))))))))) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (((((Y0) != 23.85/3.69 (emptyset))) => 23.85/3.69 (((??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 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setadjoin @ 23.85/3.69 Y0 @ Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0))) => 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (Y3))) => 23.85/3.69 (Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) | 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 ($true))) = 23.85/3.69 (Y0)))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0)) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y0) => 23.85/3.69 (Y2)))))))) => 23.85/3.69 (Y2)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (emptyset))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset)))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1))) | 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))) => 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) != 23.85/3.69 (emptyset))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset) => 23.85/3.69 (Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $o]: 23.85/3.69 (( 23.85/3.69 (Y0) => 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 ( 23.85/3.69 prop2set @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $o]: 23.85/3.69 (( 23.85/3.69 (Y0) => 23.85/3.69 (set2prop @ 23.85/3.69 ( 23.85/3.69 prop2set @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (Y0 @ Y1)))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y1))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) <=> 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y1))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (Y1 @ Y3))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) <=> 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (emptyset) = 23.85/3.69 (emptyset))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 Y2) = 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (powerset @ 23.85/3.69 Y0) = 23.85/3.69 (powerset @ 23.85/3.69 Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (setunion @ 23.85/3.69 Y0) = 23.85/3.69 (setunion @ 23.85/3.69 Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (omega) = 23.85/3.69 (omega))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (Y1 @ Y3))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) => 23.85/3.69 (( 23.85/3.69 (descr @ 23.85/3.69 Y0) = 23.85/3.69 (descr @ 23.85/3.69 Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y5 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y5 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y4) = 23.85/3.69 (Y5))) => 23.85/3.69 (( 23.85/3.69 (Y2 @ 23.85/3.69 Y4) <=> 23.85/3.69 (Y3 @ Y5))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 Y2) = 23.85/3.69 (dsetconstr @ 23.85/3.69 Y1 @ Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (subset @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (subset @ 23.85/3.69 emptyset @ 23.85/3.69 Y0)))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 subset @ 23.85/3.69 Y0 @ Y1)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 subset @ 23.85/3.69 Y0 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (Y1)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y0)))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y2)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y1)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)) => 23.85/3.69 (subset @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (subset @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0) @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y1)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (in @ 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 (powerset @ 23.85/3.69 Y0)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (subset @ 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $o]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (Y3))) => 23.85/3.69 (Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) | 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 (binunion @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 (binunion @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (subset @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y0))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y1))) => 23.85/3.69 (subset @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (emptyset))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 Y1))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y0))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y1 @ Y2)) = 23.85/3.69 (binunion @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setminus @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setminus @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setminus @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.69 inference('ho_norm', [status(thm)], [zip_derived_cl1])). 23.85/3.69 thf(zip_derived_cl9, plain, 23.85/3.69 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ Y0) <=> (in @ 23.85/3.69 Y2 @ Y1)))))) => 23.85/3.69 (((Y0) = (Y1))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ 23.85/3.69 (setadjoin @ Y0 @ Y1)) <=> 23.85/3.69 (((in @ Y2 @ Y1) | 23.85/3.69 (((Y2) = (Y0)))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ (powerset @ Y0)) <=> 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ Y1) => 23.85/3.69 (in @ Y2 @ Y0)))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ (setunion @ Y0)) <=> 23.85/3.69 (((??) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y1 @ Y2) & 23.85/3.69 (in @ Y2 @ Y0)))))))))))))) => 23.85/3.69 (((in @ emptyset @ omega) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((in @ Y0 @ omega) => (in @ 23.85/3.69 (setadjoin @ Y0 @ Y0) @ omega)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((((((!!) @ (^[Y1 : $i]: 23.85/3.69 (((((in @ Y1 @ Y0) & 23.85/3.69 (in @ Y1 @ omega))) => 23.85/3.69 (in @ 23.85/3.69 (setadjoin @ Y1 @ Y1) @ 23.85/3.69 Y0)))))) & 23.85/3.69 (in @ emptyset @ Y0))) => 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ omega) => 23.85/3.69 (in @ Y1 @ Y0))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (((??) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2 @ 23.85/3.69 Y3) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2 @ 23.85/3.69 Y4) => 23.85/3.69 (( 23.85/3.69 (Y3) = 23.85/3.69 (Y4)))))))))))))))))) => 23.85/3.69 (((??) @ (^[Y2 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y1) & 23.85/3.69 (Y0 @ 23.85/3.69 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.69 (((??) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ Y0) & 23.85/3.69 (((~) @ (((??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((??) @ (^[Y1 : $i]: 23.85/3.69 (((((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y0))))))))))) & 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y0) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y4) <=> 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y4)))))))) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) & 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y1) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y3) => 23.85/3.69 (in @ 23.85/3.69 Y4 @ Y2)))))) | 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y4 @ Y3)))))))))))))))) & 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y2)))) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y0)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 ( 23.85/3.69 in @ 23.85/3.69 Y3 @ Y1) & 23.85/3.69 ( 23.85/3.69 in @ 23.85/3.69 Y4 @ Y2) & 23.85/3.69 ( 23.85/3.69 ( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y5 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y5 @ 23.85/3.69 Y3) & 23.85/3.69 (in @ 23.85/3.69 Y5 @ Y2)))))))) & 23.85/3.69 ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y5 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y5 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y5) | 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y6 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y6 @ 23.85/3.69 Y5) => 23.85/3.69 (in @ 23.85/3.69 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.69 (((((??) @ (^[Y1 : $i]: 23.85/3.69 (((Y0 @ Y1) & 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (((Y0 @ Y2) => 23.85/3.69 (((Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (Y0 @ (descr @ Y0))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 dsetconstr @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ Y2 @ 23.85/3.69 Y0)))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (((in @ 23.85/3.69 Y2 @ 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (Y1 @ Y2)))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $o]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ 23.85/3.69 (prop2set @ 23.85/3.69 Y0)) => 23.85/3.69 (Y0))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((in @ Y0 @ 23.85/3.69 emptyset) => 23.85/3.69 (((!!) @ (^[Y1 : $o]: 23.85/3.69 (Y1))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((~) @ (in @ Y0 @ 23.85/3.69 emptyset)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((~) @ (in @ Y0 @ 23.85/3.69 emptyset)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.69 (((((??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (((Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (((??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (Y0 @ Y1))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (((( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ Y0)))))) => 23.85/3.69 (((Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ Y0)))))) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 dsetconstr @ 23.85/3.69 Y0 @ Y1)) <=> 23.85/3.69 (Y1 @ Y2)))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (emptyset))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) != 23.85/3.69 (emptyset)))))))))))))))) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (((( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0)))) => 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (((in @ 23.85/3.69 emptyset @ 23.85/3.69 (setadjoin @ 23.85/3.69 emptyset @ 23.85/3.69 emptyset)) => 23.85/3.69 (((( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0))) => 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (Y3))) => 23.85/3.69 (Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) | 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 ($true))) = 23.85/3.69 (Y0)))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0)) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y0) => 23.85/3.69 (Y2)))))))) => 23.85/3.69 (Y2)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (emptyset))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset)))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1))) | 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))) => 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) != 23.85/3.69 (emptyset))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset) => 23.85/3.69 (Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $o]: 23.85/3.69 (( 23.85/3.69 (Y0) => 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 ( 23.85/3.69 prop2set @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $o]: 23.85/3.69 (( 23.85/3.69 (Y0) => 23.85/3.69 (set2prop @ 23.85/3.69 ( 23.85/3.69 prop2set @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (Y0 @ Y1)))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y1))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) <=> 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y1))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (Y1 @ Y3))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) <=> 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 Y2) = 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (powerset @ 23.85/3.69 Y0) = 23.85/3.69 (powerset @ 23.85/3.69 Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (setunion @ 23.85/3.69 Y0) = 23.85/3.69 (setunion @ 23.85/3.69 Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (Y1 @ Y3))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) => 23.85/3.69 (( 23.85/3.69 (descr @ 23.85/3.69 Y0) = 23.85/3.69 (descr @ 23.85/3.69 Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y5 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y5 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y4) = 23.85/3.69 (Y5))) => 23.85/3.69 (( 23.85/3.69 (Y2 @ 23.85/3.69 Y4) <=> 23.85/3.69 (Y3 @ Y5))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 Y2) = 23.85/3.69 (dsetconstr @ 23.85/3.69 Y1 @ Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (subset @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (subset @ 23.85/3.69 emptyset @ 23.85/3.69 Y0)))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 subset @ 23.85/3.69 Y0 @ Y1)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 subset @ 23.85/3.69 Y0 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (Y1)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y0)))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y2)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y1)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)) => 23.85/3.69 (subset @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (subset @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0) @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y1)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (in @ 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 (powerset @ 23.85/3.69 Y0)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (subset @ 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $o]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (Y3))) => 23.85/3.69 (Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) | 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 (binunion @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 (binunion @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (subset @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y0))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y1))) => 23.85/3.69 (subset @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))))) => 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (emptyset))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (subset @ 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 Y1))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (subset @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) = 23.85/3.69 (Y0))) => 23.85/3.69 (subset @ 23.85/3.69 Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (binintersect @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 binunion @ 23.85/3.69 Y1 @ Y2)) = 23.85/3.69 (binunion @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y1) @ 23.85/3.69 ( 23.85/3.69 binintersect @ 23.85/3.69 Y0 @ Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setminus @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setminus @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setminus @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.69 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl8])). 23.85/3.69 thf(zip_derived_cl11, plain, 23.85/3.69 (~ (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ 23.85/3.69 (setadjoin @ Y0 @ Y1)) <=> 23.85/3.69 (((in @ Y2 @ Y1) | 23.85/3.69 (((Y2) = (Y0)))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ (powerset @ Y0)) <=> 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ Y1) => (in @ 23.85/3.69 Y2 @ Y0)))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ (setunion @ Y0)) <=> 23.85/3.69 (((??) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y1 @ Y2) & 23.85/3.69 (in @ Y2 @ Y0)))))))))))))) => 23.85/3.69 (((in @ emptyset @ omega) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((in @ Y0 @ omega) => (in @ 23.85/3.69 (setadjoin @ Y0 @ Y0) @ omega)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((((((!!) @ (^[Y1 : $i]: 23.85/3.69 (((((in @ Y1 @ Y0) & (in @ 23.85/3.69 Y1 @ omega))) => 23.85/3.69 (in @ 23.85/3.69 (setadjoin @ Y1 @ Y1) @ 23.85/3.69 Y0)))))) & 23.85/3.69 (in @ emptyset @ Y0))) => 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ omega) => (in @ 23.85/3.69 Y1 @ Y0))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (((??) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2 @ 23.85/3.69 Y3) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2 @ 23.85/3.69 Y4) => 23.85/3.69 (( 23.85/3.69 (Y3) = 23.85/3.69 (Y4)))))))))))))))))) => 23.85/3.69 (((??) @ (^[Y2 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (((in @ 23.85/3.69 Y3 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y1) & 23.85/3.69 (Y0 @ 23.85/3.69 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.69 (((??) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ Y0) & 23.85/3.69 (((~) @ (((??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (((in @ 23.85/3.69 Y2 @ Y1) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((??) @ (^[Y1 : $i]: 23.85/3.69 (((((!!) @ (^[Y2 : $i]: 23.85/3.69 (((in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y0))))))))))) & 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y0) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y4) <=> 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y4)))))))) => 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))))))))))))) & 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y1) & 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y3) => 23.85/3.69 (in @ 23.85/3.69 Y4 @ Y2)))))) | 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y4 @ Y3)))))))))))))))) & 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (((( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y2)))) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y0)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y4 : $i]: 23.85/3.69 (( 23.85/3.69 ( 23.85/3.69 in @ 23.85/3.69 Y3 @ Y1) & 23.85/3.69 ( 23.85/3.69 in @ 23.85/3.69 Y4 @ Y2) & 23.85/3.69 ( 23.85/3.69 ( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y5 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y5 @ 23.85/3.69 Y3) & 23.85/3.69 (in @ 23.85/3.69 Y5 @ Y2)))))))) & 23.85/3.69 ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y5 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y5 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y4 @ 23.85/3.69 Y5) | 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y6 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y6 @ 23.85/3.69 Y5) => 23.85/3.69 (in @ 23.85/3.69 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.69 (((((??) @ (^[Y1 : $i]: 23.85/3.69 (((Y0 @ Y1) & 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (Y0 @ (descr @ Y0))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 dsetconstr @ 23.85/3.69 Y0 @ Y1))))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.69 (((!!) @ (^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 dsetconstr @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (((in @ Y2 @ 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (Y1 @ Y2)))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $o]: 23.85/3.69 (((!!) @ (^[Y1 : $i]: 23.85/3.69 (((in @ Y1 @ 23.85/3.69 (prop2set @ Y0)) => 23.85/3.69 (Y0))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((in @ Y0 @ emptyset) => 23.85/3.69 (((!!) @ (^[Y1 : $o]: 23.85/3.69 (Y1))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((~) @ (in @ Y0 @ 23.85/3.69 emptyset)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((~) @ (in @ Y0 @ 23.85/3.69 emptyset)))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.69 (((((??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (((Y0 @ Y1) & 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (((??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (Y0 @ Y1))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y1)))))) => 23.85/3.69 (((( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ Y0)))))) => 23.85/3.69 (((Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ Y0)))))) => 23.85/3.69 (((Y0) = 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 dsetconstr @ 23.85/3.69 Y0 @ Y1)) <=> 23.85/3.69 (Y1 @ Y2)))))))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (emptyset))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (((((!!) @ (^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) != 23.85/3.69 (emptyset)))))))))))))))) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (((((??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0)))) => 23.85/3.69 (((Y0) != 23.85/3.69 (emptyset)))))))) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (((!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ Y1)))))))) => 23.85/3.69 (((in @ 23.85/3.69 emptyset @ 23.85/3.69 (setadjoin @ 23.85/3.69 emptyset @ 23.85/3.69 emptyset)) => 23.85/3.69 (((((!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1))))))))))))) => 23.85/3.69 (((( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0))) => 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (Y3))) => 23.85/3.69 (Y3))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ Y1)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) | 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 ($true))) = 23.85/3.69 (Y0)))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 (powerset @ 23.85/3.69 Y0))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 Y0)) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y1) => 23.85/3.69 (in @ 23.85/3.69 Y2 @ Y0)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0)) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y3) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y3 @ 23.85/3.69 Y0) => 23.85/3.69 (Y2)))))))) => 23.85/3.69 (Y2)))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 powerset @ 23.85/3.69 ( 23.85/3.69 setunion @ 23.85/3.69 Y0))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (emptyset))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ Y0))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)) => 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) != 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset)))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset)) => 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 emptyset)))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 ( 23.85/3.69 setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1))) | 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y0)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y0 @ 23.85/3.69 (setadjoin @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))) => 23.85/3.69 (( 23.85/3.69 (dsetconstr @ 23.85/3.69 Y0 @ 23.85/3.69 Y1) != 23.85/3.69 (emptyset))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y1 @ 23.85/3.69 emptyset) => 23.85/3.69 (Y0 @ Y1))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $o]: 23.85/3.69 (( 23.85/3.69 (Y0) => 23.85/3.69 (in @ 23.85/3.69 emptyset @ 23.85/3.69 ( 23.85/3.69 prop2set @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $o]: 23.85/3.69 (( 23.85/3.69 (Y0) => 23.85/3.69 (set2prop @ 23.85/3.69 ( 23.85/3.69 prop2set @ 23.85/3.69 Y0))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 ( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (Y1 @ Y2)))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) & 23.85/3.69 (( 23.85/3.69 (~) @ ( 23.85/3.69 Y1 @ Y2)))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (Y0 @ Y1)))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) <=> 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y1))))))))))) => 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) => 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y1))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y0) = 23.85/3.69 (Y1))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y3 : $i]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (Y2) = 23.85/3.69 (Y3))) => 23.85/3.69 (( 23.85/3.69 (in @ 23.85/3.69 Y2 @ 23.85/3.69 Y0) <=> 23.85/3.69 (in @ 23.85/3.69 Y3 @ Y1))))))))))))))))))) => 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y0 : $i > $o]: 23.85/3.69 (( 23.85/3.69 (( 23.85/3.69 (??) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) & 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2))))))))))))) => 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y1 : $i]: 23.85/3.69 (( 23.85/3.69 (!!) @ ( 23.85/3.69 ^[Y2 : $i]: 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y1) => 23.85/3.69 (( 23.85/3.69 (Y0 @ 23.85/3.69 Y2) => 23.85/3.69 (( 23.85/3.69 (Y1) = 23.85/3.69 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (Y1 @ Y3))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) <=> 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) = 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (powerset @ 23.85/3.70 Y0) = 23.85/3.70 (powerset @ 23.85/3.70 Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (setunion @ 23.85/3.70 Y0) = 23.85/3.70 (setunion @ 23.85/3.70 Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (Y1 @ Y3))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) => 23.85/3.70 (( 23.85/3.70 (descr @ 23.85/3.70 Y0) = 23.85/3.70 (descr @ 23.85/3.70 Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y5 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y5 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y4) = 23.85/3.70 (Y5))) => 23.85/3.70 (( 23.85/3.70 (Y2 @ 23.85/3.70 Y4) <=> 23.85/3.70 (Y3 @ Y5))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) = 23.85/3.70 (dsetconstr @ 23.85/3.70 Y1 @ Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (subset @ 23.85/3.70 emptyset @ 23.85/3.70 Y0)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y0)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 subset @ 23.85/3.70 Y0 @ Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 subset @ 23.85/3.70 Y0 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y0)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y2)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y1)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 emptyset) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 (powerset @ 23.85/3.70 Y0))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (subset @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0) @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y1)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (in @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 (powerset @ 23.85/3.70 Y0)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (subset @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $o]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (Y3))) => 23.85/3.70 (Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) | 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 (binunion @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 (binunion @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y0))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (emptyset))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 Y1))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y0))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y1 @ Y2)) = 23.85/3.70 (binunion @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setminus @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setminus @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setminus @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.70 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl9])). 23.85/3.70 thf(zip_derived_cl14, plain, 23.85/3.70 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ 23.85/3.70 (setadjoin @ Y0 @ Y1)) <=> 23.85/3.70 (((in @ Y2 @ Y1) | 23.85/3.70 (((Y2) = (Y0)))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ (powerset @ Y0)) <=> 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ Y1) => (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ (setunion @ Y0)) <=> 23.85/3.70 (((??) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y1 @ Y2) & (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (((in @ emptyset @ omega) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((in @ Y0 @ omega) => (in @ 23.85/3.70 (setadjoin @ Y0 @ Y0) @ omega)))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((((!!) @ (^[Y1 : $i]: 23.85/3.70 (((((in @ Y1 @ Y0) & (in @ 23.85/3.70 Y1 @ omega))) => 23.85/3.70 (in @ 23.85/3.70 (setadjoin @ Y1 @ Y1) @ Y0)))))) & 23.85/3.70 (in @ emptyset @ Y0))) => 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ omega) => (in @ 23.85/3.70 Y1 @ Y0))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (((??) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (((Y0 @ 23.85/3.70 Y2 @ Y3) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2 @ 23.85/3.70 Y4) => 23.85/3.70 (( 23.85/3.70 (Y3) = 23.85/3.70 (Y4)))))))))))))))))) => 23.85/3.70 (((??) @ (^[Y2 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (((in @ Y3 @ 23.85/3.70 Y2) <=> 23.85/3.70 (((??) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y1) & 23.85/3.70 (Y0 @ 23.85/3.70 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.70 (((??) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ Y0) & 23.85/3.70 (((~) @ (((??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ 23.85/3.70 Y1) & (in @ 23.85/3.70 Y2 @ Y0)))))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((??) @ (^[Y1 : $i]: 23.85/3.70 (((((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y0))))))))))) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y0) & 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y4) <=> 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y4)))))))) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y1) & 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y3) => 23.85/3.70 (in @ 23.85/3.70 Y4 @ Y2)))))) | 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y4 @ Y3)))))))))))))))) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((((( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y2)))) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y0)))))))) => 23.85/3.70 (((??) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 ( 23.85/3.70 in @ 23.85/3.70 Y3 @ Y1) & 23.85/3.70 ( 23.85/3.70 in @ 23.85/3.70 Y4 @ Y2) & 23.85/3.70 ( 23.85/3.70 ( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y5 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y5 @ 23.85/3.70 Y3) & 23.85/3.70 (in @ 23.85/3.70 Y5 @ Y2)))))))) & 23.85/3.70 ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y5 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y5 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y5) | 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y6 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y6 @ 23.85/3.70 Y5) => 23.85/3.70 (in @ 23.85/3.70 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.70 (((((??) @ (^[Y1 : $i]: 23.85/3.70 (((Y0 @ Y1) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (Y0 @ (descr @ Y0))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 dsetconstr @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 dsetconstr @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (Y1 @ Y2)))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $o]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ 23.85/3.70 (prop2set @ Y0)) => 23.85/3.70 (Y0))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((in @ Y0 @ emptyset) => 23.85/3.70 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((~) @ (in @ Y0 @ 23.85/3.70 emptyset)))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((~) @ (in @ Y0 @ 23.85/3.70 emptyset)))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.70 (((((??) @ (^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (((??) @ (^[Y1 : $i]: 23.85/3.70 (Y0 @ Y1))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (((~) @ ( 23.85/3.70 in @ Y1 @ 23.85/3.70 Y0)))))) => 23.85/3.70 (((Y0) = 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y1 @ Y0)))))) => 23.85/3.70 (((Y0) = 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 dsetconstr @ 23.85/3.70 Y0 @ Y1)) <=> 23.85/3.70 (Y1 @ Y2)))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((( 23.85/3.70 (Y0) != 23.85/3.70 (emptyset))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) != 23.85/3.70 (emptyset)))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ Y0)))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (((in @ 23.85/3.70 emptyset @ 23.85/3.70 (setadjoin @ 23.85/3.70 emptyset @ 23.85/3.70 emptyset)) => 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y0))) => 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (Y3))) => 23.85/3.70 (Y3))))))))))))))))))) => 23.85/3.70 (((( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) | 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y0)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 ($true))) = 23.85/3.70 (Y0)))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (in @ 23.85/3.70 emptyset @ 23.85/3.70 (powerset @ 23.85/3.70 Y0))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (in @ 23.85/3.70 emptyset @ 23.85/3.70 (powerset @ 23.85/3.70 Y0))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setunion @ 23.85/3.70 Y0))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setunion @ 23.85/3.70 Y0)) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y0) => 23.85/3.70 (Y2)))))))) => 23.85/3.70 (Y2)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 ( 23.85/3.70 setunion @ 23.85/3.70 Y0))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (emptyset))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset)) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 emptyset)))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset)) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 emptyset)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y1))) | 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y0)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))) => 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) != 23.85/3.70 (emptyset))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset) => 23.85/3.70 (Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $o]: 23.85/3.70 (( 23.85/3.70 (Y0) => 23.85/3.70 (in @ 23.85/3.70 emptyset @ 23.85/3.70 ( 23.85/3.70 prop2set @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $o]: 23.85/3.70 (( 23.85/3.70 (Y0) => 23.85/3.70 (set2prop @ 23.85/3.70 ( 23.85/3.70 prop2set @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (Y0 @ Y1)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y1))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) <=> 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y1))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (Y1 @ Y3))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) <=> 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) = 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (powerset @ 23.85/3.70 Y0) = 23.85/3.70 (powerset @ 23.85/3.70 Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (setunion @ 23.85/3.70 Y0) = 23.85/3.70 (setunion @ 23.85/3.70 Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (Y1 @ Y3))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) => 23.85/3.70 (( 23.85/3.70 (descr @ 23.85/3.70 Y0) = 23.85/3.70 (descr @ 23.85/3.70 Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y5 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y5 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y4) = 23.85/3.70 (Y5))) => 23.85/3.70 (( 23.85/3.70 (Y2 @ 23.85/3.70 Y4) <=> 23.85/3.70 (Y3 @ Y5))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) = 23.85/3.70 (dsetconstr @ 23.85/3.70 Y1 @ Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (subset @ 23.85/3.70 emptyset @ 23.85/3.70 Y0)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y0)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 subset @ 23.85/3.70 Y0 @ Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 subset @ 23.85/3.70 Y0 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y0)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y2)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y1)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 emptyset) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 (powerset @ 23.85/3.70 Y0))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (subset @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0) @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y1)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (in @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 (powerset @ 23.85/3.70 Y0)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (subset @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $o]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (Y3))) => 23.85/3.70 (Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) | 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 (binunion @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 (binunion @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y0))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (emptyset))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 Y1))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) = 23.85/3.70 (Y0))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (binintersect @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y1 @ Y2)) = 23.85/3.70 (binunion @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setminus @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setminus @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setminus @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.70 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 23.85/3.70 thf(zip_derived_cl18, plain, 23.85/3.70 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ (powerset @ Y0)) <=> 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ Y1) => (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ (setunion @ Y0)) <=> 23.85/3.70 (((??) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y1 @ Y2) & (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (((in @ emptyset @ omega) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((in @ Y0 @ omega) => (in @ 23.85/3.70 (setadjoin @ Y0 @ Y0) @ omega)))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((((!!) @ (^[Y1 : $i]: 23.85/3.70 (((((in @ Y1 @ Y0) & (in @ Y1 @ 23.85/3.70 omega))) => 23.85/3.70 (in @ (setadjoin @ Y1 @ Y1) @ 23.85/3.70 Y0)))))) & 23.85/3.70 (in @ emptyset @ Y0))) => 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ omega) => (in @ Y1 @ 23.85/3.70 Y0))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ Y1) => 23.85/3.70 (((??) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (((Y0 @ Y2 @ 23.85/3.70 Y3) & 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2 @ 23.85/3.70 Y4) => 23.85/3.70 (( 23.85/3.70 (Y3) = 23.85/3.70 (Y4)))))))))))))))))) => 23.85/3.70 (((??) @ (^[Y2 : $i]: 23.85/3.70 (((!!) @ (^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y2) <=> 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y1) & 23.85/3.70 (Y0 @ 23.85/3.70 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.70 (((??) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ Y0) & 23.85/3.70 (((~) @ (((??) @ (^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) & 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((??) @ (^[Y1 : $i]: 23.85/3.70 (((((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y0))))))))))) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (((( 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y0) & 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y4) <=> 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y4)))))))) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (((( 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y1) & 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y3) => 23.85/3.70 (in @ 23.85/3.70 Y4 @ Y2)))))) | 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y4 @ Y3)))))))))))))))) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((((((??) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y2)))) & 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y0)))))))) => 23.85/3.70 (((??) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 ( 23.85/3.70 in @ 23.85/3.70 Y3 @ Y1) & 23.85/3.70 ( 23.85/3.70 in @ 23.85/3.70 Y4 @ Y2) & 23.85/3.70 ( 23.85/3.70 ( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y5 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y5 @ 23.85/3.70 Y3) & 23.85/3.70 (in @ 23.85/3.70 Y5 @ Y2)))))))) & 23.85/3.70 ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y5 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y5 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y5) | 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y6 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y6 @ 23.85/3.70 Y5) => 23.85/3.70 (in @ 23.85/3.70 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.70 (((((??) @ (^[Y1 : $i]: 23.85/3.70 (((Y0 @ Y1) & 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (Y0 @ (descr @ Y0))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (((Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (((in @ 23.85/3.70 Y2 @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.70 (((!!) @ (^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 dsetconstr @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (Y1 @ Y2)))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $o]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (((in @ Y1 @ 23.85/3.70 (prop2set @ Y0)) => 23.85/3.70 (Y0))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((in @ Y0 @ emptyset) => 23.85/3.70 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((~) @ (in @ Y0 @ 23.85/3.70 emptyset)))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.70 (((((??) @ (^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (((??) @ (^[Y1 : $i]: 23.85/3.70 (Y0 @ Y1))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ (^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (((~) @ ( 23.85/3.70 in @ Y1 @ Y0)))))) => 23.85/3.70 (((Y0) = 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (((~) @ ( 23.85/3.70 in @ Y1 @ 23.85/3.70 Y0)))))) => 23.85/3.70 (((Y0) = 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 dsetconstr @ 23.85/3.70 Y0 @ Y1)) <=> 23.85/3.70 (Y1 @ Y2)))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((((Y0) != 23.85/3.70 (emptyset))) => 23.85/3.70 (((??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) != 23.85/3.70 (emptyset)))))))))))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ Y0)))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (((((!!) @ (^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (((in @ emptyset @ 23.85/3.70 (setadjoin @ 23.85/3.70 emptyset @ 23.85/3.70 emptyset)) => 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (((!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y0))) => 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (Y3))) => 23.85/3.70 (Y3))))))))))))))))))) => 23.85/3.70 (((((!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) | 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y0)))))))))))))))) => 23.85/3.70 (((( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 ($true))) = 23.85/3.70 (Y0)))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (in @ 23.85/3.70 emptyset @ 23.85/3.70 (powerset @ 23.85/3.70 Y0))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (in @ 23.85/3.70 emptyset @ 23.85/3.70 (powerset @ 23.85/3.70 Y0))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setunion @ 23.85/3.70 Y0))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setunion @ 23.85/3.70 Y0)) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y3 @ 23.85/3.70 Y0) => 23.85/3.70 (Y2)))))))) => 23.85/3.70 (Y2)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 ( 23.85/3.70 setunion @ 23.85/3.70 Y0))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (emptyset))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset)) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 emptyset)))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset)) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 emptyset)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y1))) | 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y0)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))) => 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) != 23.85/3.70 (emptyset))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset) => 23.85/3.70 (Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $o]: 23.85/3.70 (( 23.85/3.70 (Y0) => 23.85/3.70 (in @ 23.85/3.70 emptyset @ 23.85/3.70 ( 23.85/3.70 prop2set @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $o]: 23.85/3.70 (( 23.85/3.70 (Y0) => 23.85/3.70 (set2prop @ 23.85/3.70 ( 23.85/3.70 prop2set @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 ( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y1 @ Y2)))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) & 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 Y1 @ Y2)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (Y0 @ Y1)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y1))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) <=> 23.85/3.70 (in @ 23.85/3.70 Y3 @ Y1))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (Y1 @ Y3))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) <=> 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) = 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (powerset @ 23.85/3.70 Y0) = 23.85/3.70 (powerset @ 23.85/3.70 Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (setunion @ 23.85/3.70 Y0) = 23.85/3.70 (setunion @ 23.85/3.70 Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (( 23.85/3.70 (Y1) = 23.85/3.70 (Y2)))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) <=> 23.85/3.70 (Y1 @ Y3))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y0 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (??) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y2) & 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i]: 23.85/3.70 (( 23.85/3.70 (Y1 @ 23.85/3.70 Y3) => 23.85/3.70 (( 23.85/3.70 (Y2) = 23.85/3.70 (Y3))))))))))))) => 23.85/3.70 (( 23.85/3.70 (descr @ 23.85/3.70 Y0) = 23.85/3.70 (descr @ 23.85/3.70 Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $i > $o]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y4 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y4 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y5 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y5 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y4) = 23.85/3.70 (Y5))) => 23.85/3.70 (( 23.85/3.70 (Y2 @ 23.85/3.70 Y4) <=> 23.85/3.70 (Y3 @ Y5))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) = 23.85/3.70 (dsetconstr @ 23.85/3.70 Y1 @ Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y1))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (subset @ 23.85/3.70 emptyset @ 23.85/3.70 Y0)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y1)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y0)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 subset @ 23.85/3.70 Y0 @ Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 subset @ 23.85/3.70 Y0 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (~) @ ( 23.85/3.70 in @ 23.85/3.70 Y2 @ Y1))) => 23.85/3.70 (( 23.85/3.70 (Y0) != 23.85/3.70 (Y1)))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y0)))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y2) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ Y2)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y2) => 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 setadjoin @ 23.85/3.70 Y1 @ Y2))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y1)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 emptyset) => 23.85/3.70 (( 23.85/3.70 (Y0) = 23.85/3.70 (emptyset)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0)) => 23.85/3.70 (subset @ 23.85/3.70 Y1 @ Y0))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y0 @ 23.85/3.70 (powerset @ 23.85/3.70 Y0))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 Y1) => 23.85/3.70 (subset @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y0) @ 23.85/3.70 ( 23.85/3.70 powerset @ 23.85/3.70 Y1)))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (in @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 (powerset @ 23.85/3.70 Y0)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i > $o]: 23.85/3.70 (subset @ 23.85/3.70 (dsetconstr @ 23.85/3.70 Y0 @ Y1) @ 23.85/3.70 Y0))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (in @ 23.85/3.70 Y1 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y0 @ 23.85/3.70 (setadjoin @ 23.85/3.70 Y1 @ 23.85/3.70 emptyset))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y3 : $o]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (Y3))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (Y3))) => 23.85/3.70 (Y3))))))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binunion @ 23.85/3.70 Y0 @ Y1)) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) | 23.85/3.70 (in @ 23.85/3.70 Y2 @ Y0)))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y0 @ 23.85/3.70 (binunion @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (subset @ 23.85/3.70 Y1 @ 23.85/3.70 (binunion @ 23.85/3.70 Y0 @ Y1)))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (in @ 23.85/3.70 Y2 @ 23.85/3.70 ( 23.85/3.70 binintersect @ 23.85/3.70 Y0 @ Y1))))))))))))))) => 23.85/3.70 (( 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y0 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y1 : $i]: 23.85/3.70 (( 23.85/3.70 (!!) @ ( 23.85/3.70 ^[Y2 : $i]: 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 Y0) => 23.85/3.70 (( 23.85/3.70 (subset @ 23.85/3.70 Y2 @ 23.85/3.70 Y1) => 23.85/3.70 (subset @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y0))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y1))) => 23.85/3.71 (subset @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (emptyset))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y1))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y0))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y1 @ Y2)) = 23.85/3.71 (binunion @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setminus @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setminus @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setminus @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl14])). 23.85/3.71 thf(zip_derived_cl22, plain, 23.85/3.71 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ (setunion @ Y0)) <=> 23.85/3.71 (((??) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y1 @ Y2) & (in @ Y2 @ 23.85/3.71 Y0)))))))))))))) => 23.85/3.71 (((in @ emptyset @ omega) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((in @ Y0 @ omega) => (in @ 23.85/3.71 (setadjoin @ Y0 @ Y0) @ omega)))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((((!!) @ (^[Y1 : $i]: 23.85/3.71 (((((in @ Y1 @ Y0) & (in @ Y1 @ 23.85/3.71 omega))) => 23.85/3.71 (in @ (setadjoin @ Y1 @ Y1) @ 23.85/3.71 Y0)))))) & 23.85/3.71 (in @ emptyset @ Y0))) => 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ omega) => (in @ Y1 @ 23.85/3.71 Y0))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ Y1) => 23.85/3.71 (((??) @ (^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2 @ 23.85/3.71 Y3) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2 @ 23.85/3.71 Y4) => 23.85/3.71 (( 23.85/3.71 (Y3) = 23.85/3.71 (Y4)))))))))))))))))) => 23.85/3.71 (((??) @ (^[Y2 : $i]: 23.85/3.71 (((!!) @ (^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y3 @ 23.85/3.71 Y2) <=> 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y1) & 23.85/3.71 (Y0 @ 23.85/3.71 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ Y0) & 23.85/3.71 (((~) @ (((??) @ (^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (((((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (((in @ 23.85/3.71 Y3 @ 23.85/3.71 Y2) => 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y0))))))))))) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (((((in @ 23.85/3.71 Y3 @ Y0) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0))) => 23.85/3.71 (((( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y4) <=> 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y4)))))))) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (((((in @ 23.85/3.71 Y3 @ Y1) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (((( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y3) => 23.85/3.71 (in @ 23.85/3.71 Y4 @ Y2)))))) | 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y2) => 23.85/3.71 (in @ 23.85/3.71 Y4 @ Y3)))))))))))))))) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((((((??) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y2)))) & 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y3 @ 23.85/3.71 Y2) => 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y0)))))))) => 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 ( 23.85/3.71 in @ 23.85/3.71 Y3 @ Y1) & 23.85/3.71 ( 23.85/3.71 in @ 23.85/3.71 Y4 @ Y2) & 23.85/3.71 ( 23.85/3.71 ( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y5 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y5 @ 23.85/3.71 Y3) & 23.85/3.71 (in @ 23.85/3.71 Y5 @ Y2)))))))) & 23.85/3.71 ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y5 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y5 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y5) | 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y6 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y6 @ 23.85/3.71 Y5) => 23.85/3.71 (in @ 23.85/3.71 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.71 (((((??) @ (^[Y1 : $i]: 23.85/3.71 (((Y0 @ Y1) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((Y0 @ Y2) => 23.85/3.71 (((Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (Y0 @ (descr @ Y0))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (((Y1 @ Y2) => 23.85/3.71 (in @ Y2 @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ Y2 @ 23.85/3.71 Y0)))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ 23.85/3.71 Y2 @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (Y1 @ Y2)))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $o]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ 23.85/3.71 (prop2set @ Y0)) => 23.85/3.71 (Y0))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((in @ Y0 @ emptyset) => 23.85/3.71 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.71 (((((??) @ (^[Y1 : $i]: 23.85/3.71 (((Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (Y0 @ Y1))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((!!) @ (^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y1 @ Y0)))))) => 23.85/3.71 (((Y0) = (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (((~) @ ( 23.85/3.71 in @ Y1 @ Y0)))))) => 23.85/3.71 (((Y0) = 23.85/3.71 (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 dsetconstr @ 23.85/3.71 Y0 @ Y1)) <=> 23.85/3.71 (Y1 @ Y2)))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((Y0) != 23.85/3.71 (emptyset))) => 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) != 23.85/3.71 (emptyset)))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ Y0)))) => 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (((in @ emptyset @ 23.85/3.71 (setadjoin @ 23.85/3.71 emptyset @ emptyset)) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1))))))))))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y0))) => 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (Y3))) => 23.85/3.71 (Y3))))))))))))))))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) | 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y0)))))))))))))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 ($true))) = 23.85/3.71 (Y0)))))) => 23.85/3.71 (((( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (in @ 23.85/3.71 emptyset @ 23.85/3.71 (powerset @ 23.85/3.71 Y0))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (in @ 23.85/3.71 emptyset @ 23.85/3.71 (powerset @ 23.85/3.71 Y0))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setunion @ 23.85/3.71 Y0))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setunion @ 23.85/3.71 Y0)) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y3 @ 23.85/3.71 Y0) => 23.85/3.71 (Y2)))))))) => 23.85/3.71 (Y2)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 ( 23.85/3.71 setunion @ 23.85/3.71 Y0))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y1)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (emptyset))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset)) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 emptyset)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset)) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 emptyset)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y1))) | 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y0)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))) => 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) != 23.85/3.71 (emptyset))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset) => 23.85/3.71 (Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $o]: 23.85/3.71 (( 23.85/3.71 (Y0) => 23.85/3.71 (in @ 23.85/3.71 emptyset @ 23.85/3.71 ( 23.85/3.71 prop2set @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $o]: 23.85/3.71 (( 23.85/3.71 (Y0) => 23.85/3.71 (set2prop @ 23.85/3.71 ( 23.85/3.71 prop2set @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (Y0 @ Y1)))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y1))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) <=> 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y1))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (Y1 @ Y3))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) <=> 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 Y2) = 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ Y3))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (powerset @ 23.85/3.71 Y0) = 23.85/3.71 (powerset @ 23.85/3.71 Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (setunion @ 23.85/3.71 Y0) = 23.85/3.71 (setunion @ 23.85/3.71 Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (Y1 @ Y3))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) => 23.85/3.71 (( 23.85/3.71 (descr @ 23.85/3.71 Y0) = 23.85/3.71 (descr @ 23.85/3.71 Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y5 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y5 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y4) = 23.85/3.71 (Y5))) => 23.85/3.71 (( 23.85/3.71 (Y2 @ 23.85/3.71 Y4) <=> 23.85/3.71 (Y3 @ Y5))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 Y2) = 23.85/3.71 (dsetconstr @ 23.85/3.71 Y1 @ Y3))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (subset @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (subset @ 23.85/3.71 emptyset @ 23.85/3.71 Y0)))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y0)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 subset @ 23.85/3.71 Y0 @ Y1)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 subset @ 23.85/3.71 Y0 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (Y1)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y0)))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y2) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y2)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y1)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 emptyset) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (emptyset)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)) => 23.85/3.71 (subset @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 (powerset @ 23.85/3.71 Y0))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (subset @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0) @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y1)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (in @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 (powerset @ 23.85/3.71 Y0)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (subset @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $o]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (Y3))) => 23.85/3.71 (Y3))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) | 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 (binunion @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 (binunion @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (subset @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y0))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y1))) => 23.85/3.71 (subset @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (emptyset))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y1))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y0))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y1 @ Y2)) = 23.85/3.71 (binunion @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setminus @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setminus @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setminus @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl18])). 23.85/3.71 thf(zip_derived_cl28, plain, 23.85/3.71 (~ (((in @ emptyset @ omega) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ 23.85/3.71 omega)))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((((!!) @ (^[Y1 : $i]: 23.85/3.71 (((((in @ Y1 @ Y0) & (in @ Y1 @ 23.85/3.71 omega))) => 23.85/3.71 (in @ (setadjoin @ Y1 @ Y1) @ Y0)))))) & 23.85/3.71 (in @ emptyset @ Y0))) => 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ omega) => (in @ Y1 @ Y0))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ Y1) => 23.85/3.71 (((??) @ (^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2 @ 23.85/3.71 Y3) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2 @ 23.85/3.71 Y4) => 23.85/3.71 (( 23.85/3.71 (Y3) = 23.85/3.71 (Y4)))))))))))))))))) => 23.85/3.71 (((??) @ (^[Y2 : $i]: 23.85/3.71 (((!!) @ (^[Y3 : $i]: 23.85/3.71 (((in @ 23.85/3.71 Y3 @ 23.85/3.71 Y2) <=> 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y1) & 23.85/3.71 (Y0 @ 23.85/3.71 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ Y0) & 23.85/3.71 (((~) @ (((??) @ (^[Y2 : $i]: 23.85/3.71 (((in @ 23.85/3.71 Y2 @ Y1) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (((((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ Y1) => 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (((in @ Y3 @ 23.85/3.71 Y2) => 23.85/3.71 (in @ Y3 @ 23.85/3.71 Y0))))))))))) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((!!) @ (^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y3 @ 23.85/3.71 Y0) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y4) <=> 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y4)))))))) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((!!) @ (^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y3 @ 23.85/3.71 Y1) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y3) => 23.85/3.71 (in @ 23.85/3.71 Y4 @ Y2)))))) | 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y2) => 23.85/3.71 (in @ 23.85/3.71 Y4 @ Y3)))))))))))))))) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((((((??) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (in @ Y3 @ 23.85/3.71 Y2)))) & 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (((in @ 23.85/3.71 Y3 @ 23.85/3.71 Y2) => 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y0)))))))) => 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 ( 23.85/3.71 in @ 23.85/3.71 Y3 @ Y1) & 23.85/3.71 ( 23.85/3.71 in @ 23.85/3.71 Y4 @ Y2) & 23.85/3.71 ( 23.85/3.71 ( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y5 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y5 @ 23.85/3.71 Y3) & 23.85/3.71 (in @ 23.85/3.71 Y5 @ Y2)))))))) & 23.85/3.71 ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y5 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y5 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y5) | 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y6 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y6 @ 23.85/3.71 Y5) => 23.85/3.71 (in @ 23.85/3.71 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.71 (((((??) @ (^[Y1 : $i]: 23.85/3.71 (((Y0 @ Y1) & 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((Y0 @ Y2) => 23.85/3.71 (((Y1) = (Y2))))))))))))) => 23.85/3.71 (Y0 @ (descr @ Y0))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (((Y1 @ Y2) => 23.85/3.71 (in @ Y2 @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ Y2 @ Y0)))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (Y1 @ Y2)))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $o]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ 23.85/3.71 (prop2set @ Y0)) => 23.85/3.71 (Y0))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((in @ Y0 @ emptyset) => 23.85/3.71 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.71 (((((??) @ (^[Y1 : $i]: 23.85/3.71 (((Y0 @ Y1) & 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (Y0 @ Y1))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))) => 23.85/3.71 (((( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((!!) @ (^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y1 @ Y0)))))) => 23.85/3.71 (((Y0) = (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((!!) @ (^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y1 @ Y0)))))) => 23.85/3.71 (((Y0) = (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 dsetconstr @ 23.85/3.71 Y0 @ Y1)) <=> 23.85/3.71 (Y1 @ Y2)))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((Y0) != 23.85/3.71 (emptyset))) => 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ Y1 @ 23.85/3.71 Y0))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) != 23.85/3.71 (emptyset)))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ Y0)))) => 23.85/3.71 (((Y0) != 23.85/3.71 (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (((in @ emptyset @ 23.85/3.71 (setadjoin @ 23.85/3.71 emptyset @ emptyset)) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1))))))))))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y0))) => 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (Y3))) => 23.85/3.71 (Y3))))))))))))))))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) | 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y0)))))))))))))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 ($true))) = 23.85/3.71 (Y0)))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)))))))))) => 23.85/3.71 (((( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (in @ 23.85/3.71 emptyset @ 23.85/3.71 (powerset @ 23.85/3.71 Y0))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (in @ 23.85/3.71 emptyset @ 23.85/3.71 (powerset @ 23.85/3.71 Y0))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setunion @ 23.85/3.71 Y0))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setunion @ 23.85/3.71 Y0)) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y3 @ 23.85/3.71 Y0) => 23.85/3.71 (Y2)))))))) => 23.85/3.71 (Y2)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 ( 23.85/3.71 setunion @ 23.85/3.71 Y0))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y1)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (emptyset))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset)) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 emptyset)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset)) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 emptyset)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y1))) | 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y0)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))) => 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) != 23.85/3.71 (emptyset))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset) => 23.85/3.71 (Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $o]: 23.85/3.71 (( 23.85/3.71 (Y0) => 23.85/3.71 (in @ 23.85/3.71 emptyset @ 23.85/3.71 ( 23.85/3.71 prop2set @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $o]: 23.85/3.71 (( 23.85/3.71 (Y0) => 23.85/3.71 (set2prop @ 23.85/3.71 ( 23.85/3.71 prop2set @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y1 @ Y2)))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 Y1 @ Y2)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (Y0 @ Y1)))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y1))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) <=> 23.85/3.71 (in @ 23.85/3.71 Y3 @ Y1))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (Y1 @ Y3))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) <=> 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 Y2) = 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ Y3))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (powerset @ 23.85/3.71 Y0) = 23.85/3.71 (powerset @ 23.85/3.71 Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (setunion @ 23.85/3.71 Y0) = 23.85/3.71 (setunion @ 23.85/3.71 Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (Y1) = 23.85/3.71 (Y2)))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) <=> 23.85/3.71 (Y1 @ Y3))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y2) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y3) => 23.85/3.71 (( 23.85/3.71 (Y2) = 23.85/3.71 (Y3))))))))))))) => 23.85/3.71 (( 23.85/3.71 (descr @ 23.85/3.71 Y0) = 23.85/3.71 (descr @ 23.85/3.71 Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y5 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y5 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y4) = 23.85/3.71 (Y5))) => 23.85/3.71 (( 23.85/3.71 (Y2 @ 23.85/3.71 Y4) <=> 23.85/3.71 (Y3 @ Y5))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 Y2) = 23.85/3.71 (dsetconstr @ 23.85/3.71 Y1 @ Y3))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (subset @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y1))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (subset @ 23.85/3.71 emptyset @ 23.85/3.71 Y0)))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y0)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 subset @ 23.85/3.71 Y0 @ Y1)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 subset @ 23.85/3.71 Y0 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y2 @ Y1))) => 23.85/3.71 (( 23.85/3.71 (Y0) != 23.85/3.71 (Y1)))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y0)))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y2) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ Y2)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y2) => 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y1 @ Y2))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y1)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (Y1))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 emptyset) => 23.85/3.71 (( 23.85/3.71 (Y0) = 23.85/3.71 (emptyset)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0)) => 23.85/3.71 (subset @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 (powerset @ 23.85/3.71 Y0))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (subset @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y0) @ 23.85/3.71 ( 23.85/3.71 powerset @ 23.85/3.71 Y1)))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (in @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 (powerset @ 23.85/3.71 Y0)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (subset @ 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y0 @ 23.85/3.71 (setadjoin @ 23.85/3.71 Y1 @ 23.85/3.71 emptyset))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $o]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (Y3))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (Y3))) => 23.85/3.71 (Y3))))))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binunion @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) | 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 (binunion @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 (binunion @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (subset @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1))))))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y0))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y0))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y1))) => 23.85/3.71 (subset @ 23.85/3.71 Y1 @ Y0))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 binintersect @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 ( 23.85/3.71 (??) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) & 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))))) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (emptyset))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (subset @ 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ Y1) @ 23.85/3.71 Y1))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (subset @ 23.85/3.71 Y1 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (binintersect @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) = 23.85/3.71 (Y1))))))))))) => 23.85/3.71 (( 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 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Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl22])). 23.85/3.71 thf(zip_derived_cl34, plain, 23.85/3.71 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ 23.85/3.71 omega)))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((((!!) @ (^[Y1 : $i]: 23.85/3.71 (((((in @ Y1 @ Y0) & (in @ Y1 @ omega))) => 23.85/3.71 (in @ (setadjoin @ Y1 @ Y1) @ Y0)))))) & 23.85/3.71 (in @ emptyset @ Y0))) => 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ omega) => (in @ Y1 @ Y0))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.71 (((!!) @ (^[Y1 : $i]: 23.85/3.71 (((((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ Y1) => 23.85/3.71 (((??) @ (^[Y3 : $i]: 23.85/3.71 (((Y0 @ 23.85/3.71 Y2 @ Y3) & 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (Y0 @ 23.85/3.71 Y2 @ 23.85/3.71 Y4) => 23.85/3.71 (( 23.85/3.71 (Y3) = 23.85/3.71 (Y4)))))))))))))))))) => 23.85/3.71 (((??) @ (^[Y2 : $i]: 23.85/3.71 (((!!) @ (^[Y3 : $i]: 23.85/3.71 (((in @ Y3 @ 23.85/3.71 Y2) <=> 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y4 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y4 @ 23.85/3.71 Y1) & 23.85/3.71 (Y0 @ 23.85/3.71 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (((in @ Y1 @ Y0) & 23.85/3.71 (((~) @ (((??) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ 23.85/3.71 Y1) & (in @ 23.85/3.71 Y2 @ Y0)))))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((??) @ (^[Y1 : $i]: 23.85/3.71 (((((!!) @ (^[Y2 : $i]: 23.85/3.71 (((in @ Y2 @ Y1) => 23.85/3.71 (((!!) @ (^[Y3 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y3 @ 23.85/3.71 Y2) => 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23.85/3.71 (in @ 23.85/3.71 Y2 @ Y1)))))) => 23.85/3.71 (((((!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ Y0)))))) => 23.85/3.71 (((Y0) = 23.85/3.71 (Y1))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((!!) @ (^[Y1 : $i]: 23.85/3.71 (((~) @ ( 23.85/3.71 in @ Y1 @ 23.85/3.71 Y0)))))) => 23.85/3.71 (((Y0) = (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((!!) @ (^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (~) @ ( 23.85/3.71 in @ 23.85/3.71 Y1 @ Y0)))))) => 23.85/3.71 (((Y0) = (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 dsetconstr @ 23.85/3.71 Y0 @ Y1)) <=> 23.85/3.71 (Y1 @ Y2)))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((Y0) != 23.85/3.71 (emptyset))) => 23.85/3.71 (((??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ Y1 @ Y0))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i > $o]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y0) => 23.85/3.71 (( 23.85/3.71 (Y1 @ 23.85/3.71 Y2) => 23.85/3.71 (( 23.85/3.71 (dsetconstr @ 23.85/3.71 Y0 @ 23.85/3.71 Y1) != 23.85/3.71 (emptyset)))))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((((??) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y1 @ Y0)))) => 23.85/3.71 (((Y0) != 23.85/3.71 (emptyset)))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (((!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (in @ 23.85/3.71 Y0 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1)))))))) => 23.85/3.71 (((in @ emptyset @ 23.85/3.71 (setadjoin @ emptyset @ 23.85/3.71 emptyset)) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 Y1) => 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1))))))))))))) => 23.85/3.71 (((((!!) @ (^[Y0 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y1 : $i]: 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y2 : $i]: 23.85/3.71 (( 23.85/3.71 (in @ 23.85/3.71 Y2 @ 23.85/3.71 ( 23.85/3.71 setadjoin @ 23.85/3.71 Y0 @ Y1)) => 23.85/3.71 (( 23.85/3.71 (!!) @ ( 23.85/3.71 ^[Y3 : $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y0))) => 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (Y3))) => 23.85/3.72 (Y3))))))))))))))))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) | 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y0)))))))))))))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (((dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 (^[Y1 : $i]: 23.85/3.72 ($true))) = 23.85/3.72 (Y0)))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0)))))) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)))))))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (in @ 23.85/3.72 emptyset @ 23.85/3.72 (powerset @ 23.85/3.72 Y0))))) => 23.85/3.72 (((( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (in @ 23.85/3.72 emptyset @ 23.85/3.72 (powerset @ 23.85/3.72 Y0))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setunion @ 23.85/3.72 Y0))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setunion @ 23.85/3.72 Y0)) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y3 @ 23.85/3.72 Y0) => 23.85/3.72 (Y2)))))))) => 23.85/3.72 (Y2)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 ( 23.85/3.72 setunion @ 23.85/3.72 Y0))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (emptyset))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)) => 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 emptyset)))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 emptyset)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1))) | 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y0)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) != 23.85/3.72 (emptyset))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset) => 23.85/3.72 (Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $o]: 23.85/3.72 (( 23.85/3.72 (Y0) => 23.85/3.72 (in @ 23.85/3.72 emptyset @ 23.85/3.72 ( 23.85/3.72 prop2set @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $o]: 23.85/3.72 (( 23.85/3.72 (Y0) => 23.85/3.72 (set2prop @ 23.85/3.72 ( 23.85/3.72 prop2set @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (Y0 @ Y1)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y3 @ Y1))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) <=> 23.85/3.72 (in @ 23.85/3.72 Y3 @ Y1))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (Y1 @ Y3))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) <=> 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 Y2) = 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (powerset @ 23.85/3.72 Y0) = 23.85/3.72 (powerset @ 23.85/3.72 Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (setunion @ 23.85/3.72 Y0) = 23.85/3.72 (setunion @ 23.85/3.72 Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (Y1 @ Y3))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) => 23.85/3.72 (( 23.85/3.72 (descr @ 23.85/3.72 Y0) = 23.85/3.72 (descr @ 23.85/3.72 Y1))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y4 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y4 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y5 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y5 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y4) = 23.85/3.72 (Y5))) => 23.85/3.72 (( 23.85/3.72 (Y2 @ 23.85/3.72 Y4) <=> 23.85/3.72 (Y3 @ Y5))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y2) = 23.85/3.72 (dsetconstr @ 23.85/3.72 Y1 @ Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (subset @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (subset @ 23.85/3.72 emptyset @ 23.85/3.72 Y0)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y0)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 subset @ 23.85/3.72 Y0 @ Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 subset @ 23.85/3.72 Y0 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y0)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 Y2) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y2)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 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(emptyset)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)) => 23.85/3.72 (subset @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 (powerset @ 23.85/3.72 Y0))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (subset @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0) @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y1)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (in @ 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ Y1) @ 23.85/3.72 (powerset @ 23.85/3.72 Y0)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (subset @ 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ Y1) @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $o]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (Y3))) => 23.85/3.72 (Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) | 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 (binunion @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 (binunion @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (( 23.85/3.72 (( 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=> 23.85/3.72 (((??) @ (^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) != 23.85/3.72 (emptyset)))))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((((??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ Y1 @ 23.85/3.72 Y0)))) => 23.85/3.72 (((Y0) != 23.85/3.72 (emptyset)))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (((in @ emptyset @ 23.85/3.72 (setadjoin @ emptyset @ 23.85/3.72 emptyset)) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : 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@ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (emptyset))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)) => 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 emptyset)))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 emptyset)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1))) | 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y0)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) != 23.85/3.72 (emptyset))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset) => 23.85/3.72 (Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $o]: 23.85/3.72 (( 23.85/3.72 (Y0) => 23.85/3.72 (in @ 23.85/3.72 emptyset @ 23.85/3.72 ( 23.85/3.72 prop2set @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $o]: 23.85/3.72 (( 23.85/3.72 (Y0) => 23.85/3.72 (set2prop @ 23.85/3.72 ( 23.85/3.72 prop2set @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (Y0 @ Y1)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y3 @ Y1))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) <=> 23.85/3.72 (in @ 23.85/3.72 Y3 @ Y1))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (Y1 @ Y3))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) <=> 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 Y2) = 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (powerset @ 23.85/3.72 Y0) = 23.85/3.72 (powerset @ 23.85/3.72 Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (setunion @ 23.85/3.72 Y0) = 23.85/3.72 (setunion @ 23.85/3.72 Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (Y1 @ Y3))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) => 23.85/3.72 (( 23.85/3.72 (descr @ 23.85/3.72 Y0) = 23.85/3.72 (descr @ 23.85/3.72 Y1))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y4 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y4 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y5 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y5 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y4) = 23.85/3.72 (Y5))) => 23.85/3.72 (( 23.85/3.72 (Y2 @ 23.85/3.72 Y4) <=> 23.85/3.72 (Y3 @ Y5))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y2) = 23.85/3.72 (dsetconstr @ 23.85/3.72 Y1 @ Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (subset @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (subset @ 23.85/3.72 emptyset @ 23.85/3.72 Y0)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y0)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 subset @ 23.85/3.72 Y0 @ Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 subset @ 23.85/3.72 Y0 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y0)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 Y2) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y2)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y1)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 emptyset) => 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (emptyset)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)) => 23.85/3.72 (subset @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 (powerset @ 23.85/3.72 Y0))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (subset @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0) @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y1)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (in @ 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ Y1) @ 23.85/3.72 (powerset @ 23.85/3.72 Y0)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (subset @ 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ Y1) @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $o]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (Y3))) => 23.85/3.72 (Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) | 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 (binunion @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 (binunion @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binintersect @ 23.85/3.72 Y0 @ Y1))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (subset @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binintersect @ 23.85/3.72 Y0 @ Y1))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 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23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 binintersect @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))))) => 23.85/3.72 (( 23.85/3.72 (binintersect @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) = 23.85/3.72 (emptyset))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (subset @ 23.85/3.72 (binintersect @ 23.85/3.72 Y0 @ Y1) @ 23.85/3.72 Y1))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (binintersect @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) = 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (binintersect @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) = 23.85/3.72 (Y0))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (binintersect @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 binunion @ 23.85/3.72 Y1 @ Y2)) = 23.85/3.72 (binunion @ 23.85/3.72 ( 23.85/3.72 binintersect @ 23.85/3.72 Y0 @ Y1) @ 23.85/3.72 ( 23.85/3.72 binintersect @ 23.85/3.72 Y0 @ Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setminus @ 23.85/3.72 Y0 @ Y1))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setminus @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0)))))))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setminus @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl34])). 23.85/3.72 thf(zip_derived_cl51, plain, 23.85/3.72 (~ (((((!!) @ (^[Y0 : $i > $i > $o]: 23.85/3.72 (((!!) @ (^[Y1 : $i]: 23.85/3.72 (((((!!) @ (^[Y2 : $i]: 23.85/3.72 (((in @ Y2 @ Y1) => 23.85/3.72 (((??) @ (^[Y3 : $i]: 23.85/3.72 (((Y0 @ Y2 @ 23.85/3.72 Y3) & 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y4 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2 @ 23.85/3.72 Y4) => 23.85/3.72 (( 23.85/3.72 (Y3) = 23.85/3.72 (Y4)))))))))))))))))) => 23.85/3.72 (((??) @ (^[Y2 : $i]: 23.85/3.72 (((!!) @ (^[Y3 : $i]: 23.85/3.72 (((in @ Y3 @ 23.85/3.72 Y2) <=> 23.85/3.72 (((??) @ ( 23.85/3.72 ^[Y4 : $i]: 23.85/3.72 (((in @ 23.85/3.72 Y4 @ Y1) & 23.85/3.72 (Y0 @ 23.85/3.72 Y4 @ Y3)))))))))))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.72 (((??) @ (^[Y1 : $i]: 23.85/3.72 (((in @ Y1 @ Y0) & 23.85/3.72 (((~) @ (((??) @ (^[Y2 : $i]: 23.85/3.72 (((in @ Y2 @ Y1) & 23.85/3.72 (in @ Y2 @ Y0)))))))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((??) @ (^[Y1 : $i]: 23.85/3.72 (((((!!) @ (^[Y2 : $i]: 23.85/3.72 (((in @ Y2 @ Y1) => 23.85/3.72 (((!!) @ (^[Y3 : $i]: 23.85/3.72 (((in @ 23.85/3.72 Y3 @ 23.85/3.72 Y2) => 23.85/3.72 (in @ 23.85/3.72 Y3 @ Y0))))))))))) & 23.85/3.72 (((!!) @ (^[Y2 : $i]: 23.85/3.72 (((!!) @ (^[Y3 : $i]: 23.85/3.72 (((((in @ 23.85/3.72 Y3 @ Y0) & 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0))) => 23.85/3.72 (((( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y4 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y4 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 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(emptyset)))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 dsetconstr @ 23.85/3.72 Y0 @ Y1)) <=> 23.85/3.72 (Y1 @ Y2)))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((((Y0) != (emptyset))) => 23.85/3.72 (((??) @ (^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) != 23.85/3.72 (emptyset)))))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((((??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ Y1 @ Y0)))) => 23.85/3.72 (((Y0) != 23.85/3.72 (emptyset)))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ Y1)))))))) => 23.85/3.72 (((in @ emptyset @ 23.85/3.72 (setadjoin @ emptyset @ 23.85/3.72 emptyset)) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ Y1))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y0))) => 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (Y3))) => 23.85/3.72 (Y3))))))))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ Y1)) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) | 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y0)))))))))))))))) => 23.85/3.72 (((((!!) @ (^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 ($true))) = 23.85/3.72 (Y0)))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (((!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0)))))) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)))))))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (in @ 23.85/3.72 emptyset @ 23.85/3.72 (powerset @ 23.85/3.72 Y0))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (in @ 23.85/3.72 emptyset @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0))))) => 23.85/3.72 (((((!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 Y0)) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y1) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y0)))))))))))))) => 23.85/3.72 (((( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setunion @ 23.85/3.72 Y0))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setunion @ 23.85/3.72 Y0)) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y3 @ 23.85/3.72 Y0) => 23.85/3.72 (Y2)))))))) => 23.85/3.72 (Y2)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 powerset @ 23.85/3.72 ( 23.85/3.72 setunion @ 23.85/3.72 Y0))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (emptyset))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)) => 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 emptyset)))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset)) => 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 emptyset)))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 ( 23.85/3.72 setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1))) | 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y0)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) != 23.85/3.72 (emptyset))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y1 @ 23.85/3.72 emptyset) => 23.85/3.72 (Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $o]: 23.85/3.72 (( 23.85/3.72 (Y0) => 23.85/3.72 (in @ 23.85/3.72 emptyset @ 23.85/3.72 ( 23.85/3.72 prop2set @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $o]: 23.85/3.72 (( 23.85/3.72 (Y0) => 23.85/3.72 (set2prop @ 23.85/3.72 ( 23.85/3.72 prop2set @ 23.85/3.72 Y0))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 ( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (Y1 @ Y2)))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) & 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 Y1 @ Y2)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (Y0 @ Y1)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y3 @ Y1))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) <=> 23.85/3.72 (in @ 23.85/3.72 Y3 @ Y1))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (Y1 @ Y3))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) <=> 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (setadjoin @ 23.85/3.72 Y0 @ 23.85/3.72 Y2) = 23.85/3.72 (setadjoin @ 23.85/3.72 Y1 @ Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (powerset @ 23.85/3.72 Y0) = 23.85/3.72 (powerset @ 23.85/3.72 Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (setunion @ 23.85/3.72 Y0) = 23.85/3.72 (setunion @ 23.85/3.72 Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2))))))))))))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) => 23.85/3.72 (( 23.85/3.72 (Y1) = 23.85/3.72 (Y2)))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))) => 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) <=> 23.85/3.72 (Y1 @ Y3))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y0 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (??) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y2) & 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i]: 23.85/3.72 (( 23.85/3.72 (Y1 @ 23.85/3.72 Y3) => 23.85/3.72 (( 23.85/3.72 (Y2) = 23.85/3.72 (Y3))))))))))))) => 23.85/3.72 (( 23.85/3.72 (descr @ 23.85/3.72 Y0) = 23.85/3.72 (descr @ 23.85/3.72 Y1))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y3 : $i > $o]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y4 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y4 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y5 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y5 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y4) = 23.85/3.72 (Y5))) => 23.85/3.72 (( 23.85/3.72 (Y2 @ 23.85/3.72 Y4) <=> 23.85/3.72 (Y3 @ Y5))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (dsetconstr @ 23.85/3.72 Y0 @ 23.85/3.72 Y2) = 23.85/3.72 (dsetconstr @ 23.85/3.72 Y1 @ Y3))))))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (subset @ 23.85/3.72 Y1 @ Y0))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (Y0) = 23.85/3.72 (Y1))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y1))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (subset @ 23.85/3.72 emptyset @ 23.85/3.72 Y0)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (in @ 23.85/3.72 Y2 @ Y1)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y0)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 subset @ 23.85/3.72 Y0 @ Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 subset @ 23.85/3.72 Y0 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (in @ 23.85/3.72 Y2 @ 23.85/3.72 Y0) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (~) @ ( 23.85/3.72 in @ 23.85/3.72 Y2 @ Y1))) => 23.85/3.72 (( 23.85/3.72 (Y0) != 23.85/3.72 (Y1)))))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y0)))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y0 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y1 : $i]: 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.72 ^[Y2 : $i]: 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y0 @ 23.85/3.72 Y1) => 23.85/3.72 (( 23.85/3.72 (subset @ 23.85/3.72 Y1 @ 23.85/3.72 Y2) => 23.85/3.72 (subset @ 23.85/3.72 Y0 @ Y2)))))))))))))) => 23.85/3.72 (( 23.85/3.72 (( 23.85/3.72 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y1)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (emptyset)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 (powerset @ 23.85/3.73 Y0))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (subset @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0) @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y1)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (in @ 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 (powerset @ 23.85/3.73 Y0)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (subset @ 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $o]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (Y3))) => 23.85/3.73 (Y3))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) | 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 (binunion @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 (binunion @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y0))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y1))) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (emptyset))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y1))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y0))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y1 @ Y2)) = 23.85/3.73 (binunion @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setminus @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setminus @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setminus @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl41])). 23.85/3.73 thf(zip_derived_cl59, plain, 23.85/3.73 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 23.85/3.73 (((??) @ (^[Y1 : $i]: 23.85/3.73 (((in @ Y1 @ Y0) & 23.85/3.73 (((~) @ (((??) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ Y1) & 23.85/3.73 (in @ Y2 @ Y0)))))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((??) @ (^[Y1 : $i]: 23.85/3.73 (((((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ Y1) => 23.85/3.73 (((!!) @ (^[Y3 : $i]: 23.85/3.73 (((in @ Y3 @ 23.85/3.73 Y2) => 23.85/3.73 (in @ Y3 @ 23.85/3.73 Y0))))))))))) & 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((!!) @ (^[Y3 : $i]: 23.85/3.73 (((((in @ Y3 @ 23.85/3.73 Y0) & (in @ 23.85/3.73 Y2 @ Y0))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y4 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y4 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y4) <=> 23.85/3.73 (in @ 23.85/3.73 Y3 @ Y4)))))))) => 23.85/3.73 (((Y2) = 23.85/3.73 (Y3))))))))))))) & 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((!!) @ (^[Y3 : $i]: 23.85/3.73 (((((in @ Y3 @ 23.85/3.73 Y1) & (in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y4 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y4 @ 23.85/3.73 Y3) => 23.85/3.73 (in @ 23.85/3.73 Y4 @ Y2)))))) | 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y4 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y4 @ 23.85/3.73 Y2) => 23.85/3.73 (in @ 23.85/3.73 Y4 @ Y3)))))))))))))))) & 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((((((??) @ (^[Y3 : $i]: 23.85/3.73 (in @ Y3 @ 23.85/3.73 Y2)))) & 23.85/3.73 (((!!) @ (^[Y3 : $i]: 23.85/3.73 (((in @ 23.85/3.73 Y3 @ 23.85/3.73 Y2) => 23.85/3.73 (in @ 23.85/3.73 Y3 @ Y0)))))))) => 23.85/3.73 (((??) @ (^[Y3 : $i]: 23.85/3.73 (((??) @ ( 23.85/3.73 ^[Y4 : $i]: 23.85/3.73 (( 23.85/3.73 ( 23.85/3.73 in @ 23.85/3.73 Y3 @ Y1) & 23.85/3.73 ( 23.85/3.73 in @ 23.85/3.73 Y4 @ Y2) & 23.85/3.73 ( 23.85/3.73 ( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y5 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y5 @ 23.85/3.73 Y3) & 23.85/3.73 (in @ 23.85/3.73 Y5 @ Y2)))))))) & 23.85/3.73 ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y5 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y5 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y4 @ 23.85/3.73 Y5) | 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y6 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y6 @ 23.85/3.73 Y5) => 23.85/3.73 (in @ 23.85/3.73 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.73 (((((??) @ (^[Y1 : $i]: 23.85/3.73 (((Y0 @ Y1) & 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((Y0 @ Y2) => 23.85/3.73 (((Y1) = (Y2))))))))))))) => 23.85/3.73 (Y0 @ (descr @ Y0))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ Y0) => 23.85/3.73 (((Y1 @ Y2) => (in @ 23.85/3.73 Y2 @ 23.85/3.73 (dsetconstr @ Y0 @ Y1))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ 23.85/3.73 (dsetconstr @ Y0 @ Y1)) => 23.85/3.73 (in @ Y2 @ Y0)))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ 23.85/3.73 (dsetconstr @ Y0 @ 23.85/3.73 Y1)) => 23.85/3.73 (Y1 @ Y2)))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $o]: 23.85/3.73 (((!!) @ (^[Y1 : $i]: 23.85/3.73 (((in @ Y1 @ (prop2set @ Y0)) => 23.85/3.73 (Y0))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((in @ Y0 @ emptyset) => 23.85/3.73 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.73 (((((??) @ (^[Y1 : $i]: 23.85/3.73 (((Y0 @ Y1) & 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i]: 23.85/3.73 (((((!!) @ (^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ Y2 @ 23.85/3.73 Y0)))))) => 23.85/3.73 (((Y0) = (Y1))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((!!) @ (^[Y1 : $i]: 23.85/3.73 (((~) @ (in @ 23.85/3.73 Y1 @ Y0)))))) => 23.85/3.73 (((Y0) = (emptyset)))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((!!) @ (^[Y1 : $i]: 23.85/3.73 (((~) @ ( 23.85/3.73 in @ Y1 @ Y0)))))) => 23.85/3.73 (((Y0) = (emptyset)))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (((in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ Y1)) <=> 23.85/3.73 (Y1 @ Y2)))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((Y0) != (emptyset))) => 23.85/3.73 (((??) @ (^[Y1 : $i]: 23.85/3.73 (in @ Y1 @ 23.85/3.73 Y0))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) != 23.85/3.73 (emptyset)))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((??) @ (^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ Y0)))) => 23.85/3.73 (((Y0) != (emptyset)))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (((in @ emptyset @ 23.85/3.73 (setadjoin @ emptyset @ 23.85/3.73 emptyset)) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y0))) => 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (Y3))) => 23.85/3.73 (Y3))))))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) | 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y0)))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 ($true))) = 23.85/3.73 (Y0)))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)))))))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (in @ 23.85/3.73 emptyset @ 23.85/3.73 (powerset @ 23.85/3.73 Y0))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (in @ 23.85/3.73 emptyset @ 23.85/3.73 (powerset @ 23.85/3.73 Y0))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0))))))))))))))) => 23.85/3.73 (((( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0)) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y3 @ 23.85/3.73 Y0) => 23.85/3.73 (Y2)))))))) => 23.85/3.73 (Y2)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (emptyset))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1))) | 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y0)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))) => 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) != 23.85/3.73 (emptyset))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset) => 23.85/3.73 (Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $o]: 23.85/3.73 (( 23.85/3.73 (Y0) => 23.85/3.73 (in @ 23.85/3.73 emptyset @ 23.85/3.73 ( 23.85/3.73 prop2set @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $o]: 23.85/3.73 (( 23.85/3.73 (Y0) => 23.85/3.73 (set2prop @ 23.85/3.73 ( 23.85/3.73 prop2set @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (Y0 @ Y1)))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y3 @ Y1))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) <=> 23.85/3.73 (in @ 23.85/3.73 Y3 @ Y1))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (Y1 @ Y3))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))) <=> 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 Y2) = 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ Y3))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (powerset @ 23.85/3.73 Y0) = 23.85/3.73 (powerset @ 23.85/3.73 Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (setunion @ 23.85/3.73 Y0) = 23.85/3.73 (setunion @ 23.85/3.73 Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (Y1 @ Y3))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))) => 23.85/3.73 (( 23.85/3.73 (descr @ 23.85/3.73 Y0) = 23.85/3.73 (descr @ 23.85/3.73 Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y4 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y4 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y5 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y5 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y4) = 23.85/3.73 (Y5))) => 23.85/3.73 (( 23.85/3.73 (Y2 @ 23.85/3.73 Y4) <=> 23.85/3.73 (Y3 @ Y5))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 Y2) = 23.85/3.73 (dsetconstr @ 23.85/3.73 Y1 @ Y3))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (subset @ 23.85/3.73 emptyset @ 23.85/3.73 Y0)))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y0)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 subset @ 23.85/3.73 Y0 @ Y1)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 subset @ 23.85/3.73 Y0 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (Y1)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y0)))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y2) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y2)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y1)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (emptyset)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 (powerset @ 23.85/3.73 Y0))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (subset @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0) @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y1)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (in @ 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 (powerset @ 23.85/3.73 Y0)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (subset @ 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $o]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (Y3))) => 23.85/3.73 (Y3))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) | 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 (binunion @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 (binunion @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y0))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y1))) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (emptyset))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y1))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 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(!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0))))))))))))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0)) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y3 @ 23.85/3.73 Y0) => 23.85/3.73 (Y2)))))))) => 23.85/3.73 (Y2)))))))))))))) => 23.85/3.73 (((( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (emptyset))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1))) | 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y0)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))) => 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) != 23.85/3.73 (emptyset))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset) => 23.85/3.73 (Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $o]: 23.85/3.73 (( 23.85/3.73 (Y0) => 23.85/3.73 (in @ 23.85/3.73 emptyset @ 23.85/3.73 ( 23.85/3.73 prop2set @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $o]: 23.85/3.73 (( 23.85/3.73 (Y0) => 23.85/3.73 (set2prop @ 23.85/3.73 ( 23.85/3.73 prop2set @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (Y0 @ Y1)))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y3 @ Y1))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) <=> 23.85/3.73 (in @ 23.85/3.73 Y3 @ Y1))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (Y1 @ Y3))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))) <=> 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 Y2) = 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ Y3))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (powerset @ 23.85/3.73 Y0) = 23.85/3.73 (powerset @ 23.85/3.73 Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (setunion @ 23.85/3.73 Y0) = 23.85/3.73 (setunion @ 23.85/3.73 Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (Y1 @ Y3))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y2) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y3))))))))))))) => 23.85/3.73 (( 23.85/3.73 (descr @ 23.85/3.73 Y0) = 23.85/3.73 (descr @ 23.85/3.73 Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y4 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y4 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y5 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y5 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y4) = 23.85/3.73 (Y5))) => 23.85/3.73 (( 23.85/3.73 (Y2 @ 23.85/3.73 Y4) <=> 23.85/3.73 (Y3 @ Y5))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 Y2) = 23.85/3.73 (dsetconstr @ 23.85/3.73 Y1 @ Y3))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (subset @ 23.85/3.73 emptyset @ 23.85/3.73 Y0)))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y0)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 subset @ 23.85/3.73 Y0 @ Y1)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 subset @ 23.85/3.73 Y0 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (Y1)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y0)))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y2) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y2)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y1)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (emptyset)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 (powerset @ 23.85/3.73 Y0))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (subset @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0) @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y1)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (in @ 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 (powerset @ 23.85/3.73 Y0)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (subset @ 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $o]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (Y3))) => 23.85/3.73 (Y3))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) | 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 (binunion @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 Y1 @ 23.85/3.73 (binunion @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (subset @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (subset @ 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (subset @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y0))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y1))) => 23.85/3.73 (subset @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 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23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) = 23.85/3.73 (Y0))) => 23.85/3.73 (subset @ 23.85/3.73 Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (binintersect @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 binunion @ 23.85/3.73 Y1 @ Y2)) = 23.85/3.73 (binunion @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y1) @ 23.85/3.73 ( 23.85/3.73 binintersect @ 23.85/3.73 Y0 @ Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setminus @ 23.85/3.73 Y0 @ Y1))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setminus @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setminus @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl59])). 23.85/3.73 thf(zip_derived_cl68, plain, 23.85/3.73 (~ (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.73 (((((??) @ (^[Y1 : $i]: 23.85/3.73 (((Y0 @ Y1) & 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((Y0 @ Y2) => 23.85/3.73 (((Y1) = (Y2))))))))))))) => 23.85/3.73 (Y0 @ (descr @ Y0))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ Y0) => 23.85/3.73 (((Y1 @ Y2) => (in @ Y2 @ 23.85/3.73 (dsetconstr @ Y0 @ Y1))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ 23.85/3.73 (dsetconstr @ Y0 @ Y1)) => 23.85/3.73 (in @ Y2 @ Y0)))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ Y2 @ 23.85/3.73 (dsetconstr @ Y0 @ Y1)) => 23.85/3.73 (Y1 @ Y2)))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $o]: 23.85/3.73 (((!!) @ (^[Y1 : $i]: 23.85/3.73 (((in @ Y1 @ (prop2set @ Y0)) => 23.85/3.73 (Y0))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((in @ Y0 @ emptyset) => 23.85/3.73 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.73 (((((??) @ (^[Y1 : $i]: 23.85/3.73 (((Y0 @ Y1) & 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (((Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i]: 23.85/3.73 (((((!!) @ (^[Y2 : $i]: 23.85/3.73 (((in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y1)))))) => 23.85/3.73 (((((!!) @ (^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))) => 23.85/3.73 (((Y0) = (Y1))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((!!) @ (^[Y1 : $i]: 23.85/3.73 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.73 (((Y0) = (emptyset)))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((!!) @ (^[Y1 : $i]: 23.85/3.73 (((~) @ (in @ Y1 @ 23.85/3.73 Y0)))))) => 23.85/3.73 (((Y0) = (emptyset)))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ (^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 dsetconstr @ 23.85/3.73 Y0 @ Y1)) <=> 23.85/3.73 (Y1 @ Y2)))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((Y0) != (emptyset))) => 23.85/3.73 (((??) @ (^[Y1 : $i]: 23.85/3.73 (in @ Y1 @ Y0))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (((in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (Y1 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) != 23.85/3.73 (emptyset)))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((((??) @ (^[Y1 : $i]: 23.85/3.73 (in @ Y1 @ 23.85/3.73 Y0)))) => 23.85/3.73 (((Y0) != (emptyset)))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i]: 23.85/3.73 (in @ Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ Y1)))))))) => 23.85/3.73 (((in @ emptyset @ 23.85/3.73 (setadjoin @ emptyset @ emptyset)) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ (^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ Y1))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y0))) => 23.85/3.73 (Y3))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (Y3))) => 23.85/3.73 (Y3))))))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ Y1)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) | 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y0)))))))))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 (^[Y1 : $i]: 23.85/3.73 ( 23.85/3.73 $true))) = 23.85/3.73 (Y0)))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)))))))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (in @ 23.85/3.73 emptyset @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0))))) => 23.85/3.73 (((((!!) @ (^[Y0 : $i]: 23.85/3.73 (in @ 23.85/3.73 emptyset @ 23.85/3.73 (powerset @ 23.85/3.73 Y0))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 Y0)) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y1) => 23.85/3.73 (in @ 23.85/3.73 Y2 @ Y0)))))))))))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (((!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0))))))))))))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0)) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y3 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y3) => 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y3 @ 23.85/3.73 Y0) => 23.85/3.73 (Y2)))))))) => 23.85/3.73 (Y2)))))))))))))) => 23.85/3.73 (((((!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 Y0) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 powerset @ 23.85/3.73 ( 23.85/3.73 setunion @ 23.85/3.73 Y0))))))))))) => 23.85/3.73 (((( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (emptyset))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ Y0))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)) => 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) != 23.85/3.73 (Y1))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset)))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y0) = 23.85/3.73 (Y1))) => 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset)) => 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 emptyset)))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 ( 23.85/3.73 setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1))) | 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y0)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y0 @ 23.85/3.73 (setadjoin @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))) => 23.85/3.73 (( 23.85/3.73 (dsetconstr @ 23.85/3.73 Y0 @ 23.85/3.73 Y1) != 23.85/3.73 (emptyset))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y1 @ 23.85/3.73 emptyset) => 23.85/3.73 (Y0 @ Y1))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $o]: 23.85/3.73 (( 23.85/3.73 (Y0) => 23.85/3.73 (in @ 23.85/3.73 emptyset @ 23.85/3.73 ( 23.85/3.73 prop2set @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $o]: 23.85/3.73 (( 23.85/3.73 (Y0) => 23.85/3.73 (set2prop @ 23.85/3.73 ( 23.85/3.73 prop2set @ 23.85/3.73 Y0))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 ( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) => 23.85/3.73 (Y1 @ Y2)))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (in @ 23.85/3.73 Y2 @ 23.85/3.73 Y0) & 23.85/3.73 (( 23.85/3.73 (~) @ ( 23.85/3.73 Y1 @ Y2)))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (Y0 @ Y1)))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) => 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2))))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i > $o]: 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) <=> 23.85/3.73 (( 23.85/3.73 (Y2) = 23.85/3.73 (Y1))))))))))) => 23.85/3.73 (( 23.85/3.73 (??) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y1) & 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y2 : $i]: 23.85/3.73 (( 23.85/3.73 (Y0 @ 23.85/3.73 Y2) => 23.85/3.73 (( 23.85/3.73 (Y1) = 23.85/3.73 (Y2)))))))))))))))))) => 23.85/3.73 (( 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y0 : $i]: 23.85/3.73 (( 23.85/3.73 (!!) @ ( 23.85/3.73 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y3 @ Y1))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) <=> 23.85/3.74 (in @ 23.85/3.74 Y3 @ Y1))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (Y1 @ Y3))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) <=> 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) = 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (powerset @ 23.85/3.74 Y0) = 23.85/3.74 (powerset @ 23.85/3.74 Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (setunion @ 23.85/3.74 Y0) = 23.85/3.74 (setunion @ 23.85/3.74 Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (Y1 @ Y3))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) => 23.85/3.74 (( 23.85/3.74 (descr @ 23.85/3.74 Y0) = 23.85/3.74 (descr @ 23.85/3.74 Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y4 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y4 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y5 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y5 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y4) = 23.85/3.74 (Y5))) => 23.85/3.74 (( 23.85/3.74 (Y2 @ 23.85/3.74 Y4) <=> 23.85/3.74 (Y3 @ Y5))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) = 23.85/3.74 (dsetconstr @ 23.85/3.74 Y1 @ Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (subset @ 23.85/3.74 emptyset @ 23.85/3.74 Y0)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y0)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 subset @ 23.85/3.74 Y0 @ Y1)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 subset @ 23.85/3.74 Y0 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y0)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y2)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y1)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (emptyset)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 (powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (subset @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0) @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y1)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (in @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 (powerset @ 23.85/3.74 Y0)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (subset @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $o]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (Y3))) => 23.85/3.74 (Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) | 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 (binunion @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 (binunion @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y0))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (emptyset))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y1))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y0))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y1 @ Y2)) = 23.85/3.74 (binunion @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl63])). 23.85/3.74 thf(zip_derived_cl74, plain, 23.85/3.74 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ Y0) => 23.85/3.74 (((Y1 @ Y2) => (in @ Y2 @ 23.85/3.74 (dsetconstr @ Y0 @ Y1))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 (dsetconstr @ Y0 @ Y1)) => 23.85/3.74 (in @ Y2 @ Y0)))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 (dsetconstr @ Y0 @ Y1)) => 23.85/3.74 (Y1 @ Y2)))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $o]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((in @ Y0 @ emptyset) => 23.85/3.74 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.74 (((((??) @ (^[Y1 : $i]: 23.85/3.74 (((Y0 @ Y1) & 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((Y0 @ Y2) => 23.85/3.74 (((Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ Y2 @ 23.85/3.74 Y1)))))) => 23.85/3.74 (((((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))) => 23.85/3.74 (((Y0) = (Y1))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((!!) @ (^[Y1 : $i]: 23.85/3.74 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.74 (((Y0) = (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((!!) @ (^[Y1 : $i]: 23.85/3.74 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.74 (((Y0) = (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 dsetconstr @ 23.85/3.74 Y0 @ Y1)) <=> 23.85/3.74 (Y1 @ Y2)))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((Y0) != (emptyset))) => 23.85/3.74 (((??) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y1 @ Y0))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (((Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) != 23.85/3.74 (emptyset)))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((??) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y1 @ Y0)))) => 23.85/3.74 (((Y0) != (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (((in @ emptyset @ 23.85/3.74 (setadjoin @ emptyset @ emptyset)) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0))) => 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (Y3))) => 23.85/3.74 (Y3))))))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) | 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0)))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 (^[Y1 : $i]: 23.85/3.74 ($true))) = 23.85/3.74 (Y0)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 (powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0))))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0)) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y3 @ 23.85/3.74 Y0) => 23.85/3.74 (Y2)))))))) => 23.85/3.74 (Y2)))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1)))))))))))))))) => 23.85/3.74 (((( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (emptyset))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1))) | 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) != 23.85/3.74 (emptyset))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset) => 23.85/3.74 (Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $o]: 23.85/3.74 (( 23.85/3.74 (Y0) => 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 ( 23.85/3.74 prop2set @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $o]: 23.85/3.74 (( 23.85/3.74 (Y0) => 23.85/3.74 (set2prop @ 23.85/3.74 ( 23.85/3.74 prop2set @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (Y0 @ Y1)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y3 @ Y1))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) <=> 23.85/3.74 (in @ 23.85/3.74 Y3 @ Y1))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (Y1 @ Y3))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) <=> 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) = 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (powerset @ 23.85/3.74 Y0) = 23.85/3.74 (powerset @ 23.85/3.74 Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (setunion @ 23.85/3.74 Y0) = 23.85/3.74 (setunion @ 23.85/3.74 Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (Y1 @ Y3))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) => 23.85/3.74 (( 23.85/3.74 (descr @ 23.85/3.74 Y0) = 23.85/3.74 (descr @ 23.85/3.74 Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y4 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y4 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y5 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y5 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y4) = 23.85/3.74 (Y5))) => 23.85/3.74 (( 23.85/3.74 (Y2 @ 23.85/3.74 Y4) <=> 23.85/3.74 (Y3 @ Y5))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) = 23.85/3.74 (dsetconstr @ 23.85/3.74 Y1 @ Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (subset @ 23.85/3.74 emptyset @ 23.85/3.74 Y0)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y0)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 subset @ 23.85/3.74 Y0 @ Y1)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 subset @ 23.85/3.74 Y0 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y0)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y2)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y1)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (emptyset)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 (powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (subset @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0) @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y1)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (in @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 (powerset @ 23.85/3.74 Y0)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (subset @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $o]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (Y3))) => 23.85/3.74 (Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) | 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 (binunion @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 (binunion @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y0))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (emptyset))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y1))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y0))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y1 @ Y2)) = 23.85/3.74 (binunion @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl68])). 23.85/3.74 thf(zip_derived_cl83, plain, 23.85/3.74 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 (dsetconstr @ Y0 @ Y1)) => 23.85/3.74 (in @ Y2 @ Y0)))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 (dsetconstr @ Y0 @ Y1)) => 23.85/3.74 (Y1 @ Y2)))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $o]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((in @ Y0 @ emptyset) => 23.85/3.74 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.74 (((((??) @ (^[Y1 : $i]: 23.85/3.74 (((Y0 @ Y1) & 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((Y0 @ Y2) => 23.85/3.74 (((Y1) = (Y2))))))))))))) => 23.85/3.74 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 Y0) => (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (((((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ Y2 @ 23.85/3.74 Y0)))))) => 23.85/3.74 (((Y0) = (Y1))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((!!) @ (^[Y1 : $i]: 23.85/3.74 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.74 (((Y0) = (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((!!) @ (^[Y1 : $i]: 23.85/3.74 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.74 (((Y0) = (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1)) <=> 23.85/3.74 (Y1 @ Y2)))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((Y0) != (emptyset))) => 23.85/3.74 (((??) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y1 @ Y0))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) != 23.85/3.74 (emptyset)))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((??) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y1 @ Y0)))) => 23.85/3.74 (((Y0) != (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (((in @ emptyset @ 23.85/3.74 (setadjoin @ emptyset @ emptyset)) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0))) => 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (Y3))) => 23.85/3.74 (Y3))))))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) | 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0)))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 (^[Y1 : $i]: 23.85/3.74 ($true))) = 23.85/3.74 (Y0)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (((( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 (powerset @ 23.85/3.74 Y0)))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 (powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 (powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0))))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0)) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y3 @ 23.85/3.74 Y0) => 23.85/3.74 (Y2)))))))) => 23.85/3.74 (Y2)))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1)))))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (emptyset))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (((( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1))) | 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) != 23.85/3.74 (emptyset))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset) => 23.85/3.74 (Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $o]: 23.85/3.74 (( 23.85/3.74 (Y0) => 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 ( 23.85/3.74 prop2set @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $o]: 23.85/3.74 (( 23.85/3.74 (Y0) => 23.85/3.74 (set2prop @ 23.85/3.74 ( 23.85/3.74 prop2set @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (Y0 @ Y1)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y3 @ Y1))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) <=> 23.85/3.74 (in @ 23.85/3.74 Y3 @ Y1))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (Y1 @ Y3))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) <=> 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) = 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (powerset @ 23.85/3.74 Y0) = 23.85/3.74 (powerset @ 23.85/3.74 Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (setunion @ 23.85/3.74 Y0) = 23.85/3.74 (setunion @ 23.85/3.74 Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2)))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (Y1 @ Y3))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y3))))))))))))) => 23.85/3.74 (( 23.85/3.74 (descr @ 23.85/3.74 Y0) = 23.85/3.74 (descr @ 23.85/3.74 Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y4 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y4 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y5 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y5 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y4) = 23.85/3.74 (Y5))) => 23.85/3.74 (( 23.85/3.74 (Y2 @ 23.85/3.74 Y4) <=> 23.85/3.74 (Y3 @ Y5))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) = 23.85/3.74 (dsetconstr @ 23.85/3.74 Y1 @ Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (subset @ 23.85/3.74 emptyset @ 23.85/3.74 Y0)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y0)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 subset @ 23.85/3.74 Y0 @ Y1)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 subset @ 23.85/3.74 Y0 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y0)))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y2)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y1)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (emptyset)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 (powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (subset @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0) @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y1)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (in @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 (powerset @ 23.85/3.74 Y0)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (subset @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $o]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (Y3))) => 23.85/3.74 (Y3))))))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) | 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 (binunion @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 (binunion @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (subset @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y0))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y0))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y1))) => 23.85/3.74 (subset @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y1)))))))) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (emptyset))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (subset @ 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 Y1))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (subset @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) = 23.85/3.74 (Y0))) => 23.85/3.74 (subset @ 23.85/3.74 Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (binintersect @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 binunion @ 23.85/3.74 Y1 @ Y2)) = 23.85/3.74 (binunion @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y1) @ 23.85/3.74 ( 23.85/3.74 binintersect @ 23.85/3.74 Y0 @ Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setminus @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl74])). 23.85/3.74 thf(zip_derived_cl97, plain, 23.85/3.74 (~ (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 (dsetconstr @ Y0 @ Y1)) => 23.85/3.74 (Y1 @ Y2)))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $o]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((in @ Y0 @ emptyset) => 23.85/3.74 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.74 (((((??) @ (^[Y1 : $i]: 23.85/3.74 (((Y0 @ Y1) & 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((Y0 @ Y2) => 23.85/3.74 (((Y1) = (Y2))))))))))))) => 23.85/3.74 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 Y0) => (in @ 23.85/3.74 Y2 @ Y1)))))) => 23.85/3.74 (((((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 Y1) => (in @ 23.85/3.74 Y2 @ Y0)))))) => 23.85/3.74 (((Y0) = (Y1))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((!!) @ (^[Y1 : $i]: 23.85/3.74 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.74 (((Y0) = (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((!!) @ (^[Y1 : $i]: 23.85/3.74 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.74 (((Y0) = (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (((in @ Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (((in @ 23.85/3.74 Y2 @ 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ Y1)) <=> 23.85/3.74 (Y1 @ Y2)))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((Y0) != (emptyset))) => 23.85/3.74 (((??) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y1 @ Y0))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.74 (((!!) @ (^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) != 23.85/3.74 (emptyset)))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((((??) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y1 @ Y0)))) => 23.85/3.74 (((Y0) != (emptyset)))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (in @ Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ Y1)))))))) => 23.85/3.74 (((in @ emptyset @ 23.85/3.74 (setadjoin @ emptyset @ emptyset)) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0))) => 23.85/3.74 (Y3))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (Y3))) => 23.85/3.74 (Y3))))))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ (^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ Y1)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) | 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0)))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 (^[Y1 : $i]: 23.85/3.74 ($true))) = 23.85/3.74 (Y0)))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))) => 23.85/3.74 (in @ Y1 @ 23.85/3.74 (powerset @ 23.85/3.74 Y0)))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 (powerset @ Y0))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (in @ 23.85/3.74 emptyset @ 23.85/3.74 (powerset @ 23.85/3.74 Y0))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 Y0)) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y1) => 23.85/3.74 (in @ 23.85/3.74 Y2 @ Y0)))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0))))))))))))))) => 23.85/3.74 (((((!!) @ (^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0)) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y3 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y3) => 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y3 @ 23.85/3.74 Y0) => 23.85/3.74 (Y2)))))))) => 23.85/3.74 (Y2)))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (((!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 Y0) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 powerset @ 23.85/3.74 ( 23.85/3.74 setunion @ 23.85/3.74 Y0))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (((( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y1) & 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) => 23.85/3.74 (( 23.85/3.74 (Y1) = 23.85/3.74 (Y2))))))))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (Y0 @ 23.85/3.74 Y2) <=> 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1)))))))))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (emptyset))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ Y0))))))))) => 23.85/3.74 (((((!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)) => 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))))))))))) => 23.85/3.74 (((( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) != 23.85/3.74 (Y1))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset)))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y0) = 23.85/3.74 (Y1))) => 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset)) => 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 emptyset)))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 ( 23.85/3.74 setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y1))) | 23.85/3.74 (( 23.85/3.74 (Y2) = 23.85/3.74 (Y0)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y0 @ 23.85/3.74 (setadjoin @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))) => 23.85/3.74 (( 23.85/3.74 (dsetconstr @ 23.85/3.74 Y0 @ 23.85/3.74 Y1) != 23.85/3.74 (emptyset))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y1 @ 23.85/3.74 emptyset) => 23.85/3.74 (Y0 @ Y1))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))))))))))) => 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y0 : $i]: 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y1 : $i > $o]: 23.85/3.74 (( 23.85/3.74 (( 23.85/3.74 (~) @ ( 23.85/3.74 ( 23.85/3.74 (??) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.74 (in @ 23.85/3.74 Y2 @ 23.85/3.74 Y0) & 23.85/3.74 (Y1 @ Y2)))))))) => 23.85/3.74 (( 23.85/3.74 (!!) @ ( 23.85/3.74 ^[Y2 : $i]: 23.85/3.74 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $o]: 23.85/3.75 (( 23.85/3.75 (Y0) => 23.85/3.75 (in @ 23.85/3.75 emptyset @ 23.85/3.75 ( 23.85/3.75 prop2set @ 23.85/3.75 Y0))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $o]: 23.85/3.75 (( 23.85/3.75 (Y0) => 23.85/3.75 (set2prop @ 23.85/3.75 ( 23.85/3.75 prop2set @ 23.85/3.75 Y0))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (Y0 @ Y1)))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) <=> 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y3 @ Y1))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) <=> 23.85/3.75 (in @ 23.85/3.75 Y3 @ Y1))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) <=> 23.85/3.75 (Y1 @ Y3))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))) <=> 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 Y2) = 23.85/3.75 (setadjoin @ 23.85/3.75 Y1 @ Y3))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (powerset @ 23.85/3.75 Y0) = 23.85/3.75 (powerset @ 23.85/3.75 Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (setunion @ 23.85/3.75 Y0) = 23.85/3.75 (setunion @ 23.85/3.75 Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) <=> 23.85/3.75 (Y1 @ Y3))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))) => 23.85/3.75 (( 23.85/3.75 (descr @ 23.85/3.75 Y0) = 23.85/3.75 (descr @ 23.85/3.75 Y1))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y4 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y4 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y5 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y5 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y4) = 23.85/3.75 (Y5))) => 23.85/3.75 (( 23.85/3.75 (Y2 @ 23.85/3.75 Y4) <=> 23.85/3.75 (Y3 @ Y5))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (dsetconstr @ 23.85/3.75 Y0 @ 23.85/3.75 Y2) = 23.85/3.75 (dsetconstr @ 23.85/3.75 Y1 @ Y3))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (subset @ 23.85/3.75 Y1 @ Y0))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (subset @ 23.85/3.75 emptyset @ 23.85/3.75 Y0)))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y0)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 subset @ 23.85/3.75 Y0 @ Y1)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 subset @ 23.85/3.75 Y0 @ Y1))) => 23.85/3.75 (( 23.85/3.75 (Y0) != 23.85/3.75 (Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))) => 23.85/3.75 (( 23.85/3.75 (Y0) != 23.85/3.75 (Y1)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y0)))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y1 @ 23.85/3.75 Y2) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y2)))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (subset @ 23.85/3.75 Y1 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y0 @ Y1)))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y1 @ Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (in @ 23.85/3.75 Y0 @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 Y1)))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y1 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 emptyset) => 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (emptyset)))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y1 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 Y0)))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 Y0)) => 23.85/3.75 (subset @ 23.85/3.75 Y1 @ Y0))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (in @ 23.85/3.75 Y0 @ 23.85/3.75 (powerset @ 23.85/3.75 Y0))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (subset @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 Y0) @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 Y1)))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (in @ 23.85/3.75 (dsetconstr @ 23.85/3.75 Y0 @ Y1) @ 23.85/3.75 (powerset @ 23.85/3.75 Y0)))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (subset @ 23.85/3.75 (dsetconstr @ 23.85/3.75 Y0 @ Y1) @ 23.85/3.75 Y0))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binunion @ 23.85/3.75 Y0 @ Y1))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binunion @ 23.85/3.75 Y0 @ Y1))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $o]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binunion @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (Y3))) => 23.85/3.75 (Y3))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binunion @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) | 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y0)))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 (binunion @ 23.85/3.75 Y0 @ Y1)))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (subset @ 23.85/3.75 Y1 @ 23.85/3.75 (binunion @ 23.85/3.75 Y0 @ Y1)))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binintersect @ 23.85/3.75 Y0 @ Y1))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (subset @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binintersect @ 23.85/3.75 Y0 @ Y1))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binintersect @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y0)))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (subset @ 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ Y1) @ 23.85/3.75 Y0))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) = 23.85/3.75 (Y0))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) = 23.85/3.75 (Y1))) => 23.85/3.75 (subset @ 23.85/3.75 Y1 @ Y0))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 binintersect @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))))) => 23.85/3.75 (( 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) = 23.85/3.75 (emptyset))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (subset @ 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ Y1) @ 23.85/3.75 Y1))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y1 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) = 23.85/3.75 (Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) = 23.85/3.75 (Y0))) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (binintersect @ 23.85/3.75 Y0 @ 23.85/3.75 ( 23.85/3.75 binunion @ 23.85/3.75 Y1 @ Y2)) = 23.85/3.75 (binunion @ 23.85/3.75 ( 23.85/3.75 binintersect @ 23.85/3.75 Y0 @ Y1) @ 23.85/3.75 ( 23.85/3.75 binintersect @ 23.85/3.75 Y0 @ Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 setminus @ 23.85/3.75 Y0 @ Y1))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 setminus @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y0)))))))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 setminus @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 23.85/3.75 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl83])). 23.85/3.75 thf(zip_derived_cl114, plain, 23.85/3.75 (~ (((((!!) @ (^[Y0 : $o]: 23.85/3.75 (((!!) @ (^[Y1 : $i]: 23.85/3.75 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((in @ Y0 @ emptyset) => 23.85/3.75 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i > $o]: 23.85/3.75 (((((??) @ (^[Y1 : $i]: 23.85/3.75 (((Y0 @ Y1) & 23.85/3.75 (((!!) @ (^[Y2 : $i]: 23.85/3.75 (((Y0 @ Y2) => 23.85/3.75 (((Y1) = (Y2))))))))))))) => 23.85/3.75 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i]: 23.85/3.75 (((((!!) @ (^[Y2 : $i]: 23.85/3.75 (((in @ Y2 @ Y0) => 23.85/3.75 (in @ Y2 @ Y1)))))) => 23.85/3.75 (((((!!) @ (^[Y2 : $i]: 23.85/3.75 (((in @ Y2 @ 23.85/3.75 Y1) => (in @ 23.85/3.75 Y2 @ Y0)))))) => 23.85/3.75 (((Y0) = (Y1))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((((!!) @ (^[Y1 : $i]: 23.85/3.75 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.75 (((Y0) = (emptyset)))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((((!!) @ (^[Y1 : $i]: 23.85/3.75 (((~) @ (in @ Y1 @ Y0)))))) => 23.85/3.75 (((Y0) = (emptyset)))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.75 (((!!) @ (^[Y2 : $i]: 23.85/3.75 (((in @ Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (((in @ Y2 @ 23.85/3.75 (dsetconstr @ 23.85/3.75 Y0 @ Y1)) <=> 23.85/3.75 (Y1 @ Y2)))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((((Y0) != (emptyset))) => 23.85/3.75 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i > $o]: 23.85/3.75 (((!!) @ (^[Y2 : $i]: 23.85/3.75 (((in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (dsetconstr @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) != 23.85/3.75 (emptyset)))))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((((??) @ (^[Y1 : $i]: 23.85/3.75 (in @ Y1 @ Y0)))) => 23.85/3.75 (((Y0) != (emptyset)))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i]: 23.85/3.75 (in @ Y0 @ 23.85/3.75 (setadjoin @ Y0 @ 23.85/3.75 Y1)))))))) => 23.85/3.75 (((in @ emptyset @ 23.85/3.75 (setadjoin @ emptyset @ emptyset)) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i]: 23.85/3.75 (((!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (((in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y0 @ Y1))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i]: 23.85/3.75 (((!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y0))) => 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (Y3))) => 23.85/3.75 (Y3))))))))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i]: 23.85/3.75 (((!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y0 @ Y1)) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) | 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y0)))))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((dsetconstr @ Y0 @ 23.85/3.75 (^[Y1 : $i]: ($true))) = 23.85/3.75 (Y0)))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ (^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y0)))))) => 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 Y0)))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (in @ emptyset @ 23.85/3.75 (powerset @ Y0))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (in @ 23.85/3.75 emptyset @ 23.85/3.75 (powerset @ Y0))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 Y0)) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y1) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y0)))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (((!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 setunion @ 23.85/3.75 Y0))))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 setunion @ 23.85/3.75 Y0)) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y3 @ 23.85/3.75 Y0) => 23.85/3.75 (Y2)))))))) => 23.85/3.75 (Y2)))))))))))))) => 23.85/3.75 (((((!!) @ (^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 powerset @ 23.85/3.75 ( 23.85/3.75 setunion @ 23.85/3.75 Y0))))))))))) => 23.85/3.75 (((((!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (((((??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2))))))))))))) => 23.85/3.75 (((??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) <=> 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y1)))))))))))))))) => 23.85/3.75 (((((!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (((( 23.85/3.75 (Y0) != 23.85/3.75 (emptyset))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (in @ 23.85/3.75 Y1 @ Y0))))))))) => 23.85/3.75 (((((!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y0 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset)) => 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))))))))))) => 23.85/3.75 (((((!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) != 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 emptyset)))))))))))) => 23.85/3.75 (((( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (in @ 23.85/3.75 Y0 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset)))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y0 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset)) => 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 emptyset)))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 ( 23.85/3.75 setadjoin @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y1))) | 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y0)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (in @ 23.85/3.75 Y0 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 (setadjoin @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (Y1 @ Y2)))))) => 23.85/3.75 (( 23.85/3.75 (dsetconstr @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) != 23.85/3.75 (emptyset))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y1 @ 23.85/3.75 emptyset) => 23.85/3.75 (Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $o]: 23.85/3.75 (( 23.85/3.75 (Y0) => 23.85/3.75 (in @ 23.85/3.75 emptyset @ 23.85/3.75 ( 23.85/3.75 prop2set @ 23.85/3.75 Y0))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $o]: 23.85/3.75 (( 23.85/3.75 (Y0) => 23.85/3.75 (set2prop @ 23.85/3.75 ( 23.85/3.75 prop2set @ 23.85/3.75 Y0))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 ( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (Y1 @ Y2)))))))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) & 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 Y1 @ Y2)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (Y0 @ Y1)))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) <=> 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y3 @ Y1))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) <=> 23.85/3.75 (in @ 23.85/3.75 Y3 @ Y1))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) <=> 23.85/3.75 (Y1 @ Y3))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))) <=> 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (setadjoin @ 23.85/3.75 Y0 @ 23.85/3.75 Y2) = 23.85/3.75 (setadjoin @ 23.85/3.75 Y1 @ Y3))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (powerset @ 23.85/3.75 Y0) = 23.85/3.75 (powerset @ 23.85/3.75 Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (setunion @ 23.85/3.75 Y0) = 23.85/3.75 (setunion @ 23.85/3.75 Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2))))))))))))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) => 23.85/3.75 (( 23.85/3.75 (Y1) = 23.85/3.75 (Y2)))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))) => 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) <=> 23.85/3.75 (Y1 @ Y3))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y0 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (??) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y2) & 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i]: 23.85/3.75 (( 23.85/3.75 (Y1 @ 23.85/3.75 Y3) => 23.85/3.75 (( 23.85/3.75 (Y2) = 23.85/3.75 (Y3))))))))))))) => 23.85/3.75 (( 23.85/3.75 (descr @ 23.85/3.75 Y0) = 23.85/3.75 (descr @ 23.85/3.75 Y1))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y3 : $i > $o]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y4 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y4 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y5 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y5 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y4) = 23.85/3.75 (Y5))) => 23.85/3.75 (( 23.85/3.75 (Y2 @ 23.85/3.75 Y4) <=> 23.85/3.75 (Y3 @ Y5))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (dsetconstr @ 23.85/3.75 Y0 @ 23.85/3.75 Y2) = 23.85/3.75 (dsetconstr @ 23.85/3.75 Y1 @ Y3))))))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (subset @ 23.85/3.75 Y1 @ Y0))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (Y0) = 23.85/3.75 (Y1))) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))) => 23.85/3.75 (subset @ 23.85/3.75 Y0 @ Y1))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (subset @ 23.85/3.75 emptyset @ 23.85/3.75 Y0)))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (in @ 23.85/3.75 Y2 @ Y1)))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (subset @ 23.85/3.75 Y0 @ 23.85/3.75 Y1) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y0)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))) => 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 subset @ 23.85/3.75 Y0 @ Y1)))))))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 subset @ 23.85/3.75 Y0 @ Y1))) => 23.85/3.75 (( 23.85/3.75 (Y0) != 23.85/3.75 (Y1))))))))))) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y0 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y1 : $i]: 23.85/3.75 (( 23.85/3.75 (!!) @ ( 23.85/3.75 ^[Y2 : $i]: 23.85/3.75 (( 23.85/3.75 (in @ 23.85/3.75 Y2 @ 23.85/3.75 Y0) => 23.85/3.75 (( 23.85/3.75 (( 23.85/3.75 (~) @ ( 23.85/3.75 in @ 23.85/3.75 Y2 @ Y1))) => 24.45/3.75 (( 24.45/3.75 (Y0) != 24.45/3.75 (Y1)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y0)))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 Y2) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y2)))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ Y1)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y1)))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 emptyset) => 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (emptyset)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0)))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0)) => 24.45/3.75 (subset @ 24.45/3.75 Y1 @ Y0))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 (powerset @ 24.45/3.75 Y0))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (subset @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0) @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y1)))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (in @ 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 (powerset @ 24.45/3.75 Y0)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (subset @ 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 Y0))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $o]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (Y3))) => 24.45/3.75 (Y3))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) | 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 (binunion @ 24.45/3.75 Y0 @ Y1)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 (binunion @ 24.45/3.75 Y0 @ Y1)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (subset @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 Y0))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) = 24.45/3.75 (Y0))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) = 24.45/3.75 (Y1))) => 24.45/3.75 (subset @ 24.45/3.75 Y1 @ Y0))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y1)))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 ( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y1)))))))) => 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) = 24.45/3.75 (emptyset))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 Y1))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) = 24.45/3.75 (Y1))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) = 24.45/3.75 (Y0))) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y1))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y1 @ Y2)) = 24.45/3.75 (binunion @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y1))) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setminus @ 24.45/3.75 Y0 @ Y1))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setminus @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))))))))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setminus @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.45/3.75 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 24.45/3.75 thf(zip_derived_cl130, plain, 24.45/3.75 (~ (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((in @ Y0 @ emptyset) => (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i > $o]: 24.45/3.75 (((((??) @ (^[Y1 : $i]: 24.45/3.75 (((Y0 @ Y1) & 24.45/3.75 (((!!) @ (^[Y2 : $i]: 24.45/3.75 (((Y0 @ Y2) => 24.45/3.75 (((Y1) = (Y2))))))))))))) => 24.45/3.75 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i]: 24.45/3.75 (((((!!) @ (^[Y2 : $i]: 24.45/3.75 (((in @ Y2 @ Y0) => 24.45/3.75 (in @ Y2 @ Y1)))))) => 24.45/3.75 (((((!!) @ (^[Y2 : $i]: 24.45/3.75 (((in @ Y2 @ Y1) => 24.45/3.75 (in @ Y2 @ Y0)))))) => 24.45/3.75 (((Y0) = (Y1))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((((!!) @ (^[Y1 : $i]: 24.45/3.75 (((~) @ (in @ Y1 @ Y0)))))) => 24.45/3.75 (((Y0) = (emptyset)))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((((!!) @ (^[Y1 : $i]: 24.45/3.75 (((~) @ (in @ Y1 @ Y0)))))) => 24.45/3.75 (((Y0) = (emptyset)))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i > $o]: 24.45/3.75 (((!!) @ (^[Y2 : $i]: 24.45/3.75 (((in @ Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (((in @ Y2 @ 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ Y1)) <=> 24.45/3.75 (Y1 @ Y2)))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((((Y0) != (emptyset))) => 24.45/3.75 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i > $o]: 24.45/3.75 (((!!) @ (^[Y2 : $i]: 24.45/3.75 (((in @ Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (((Y1 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) != 24.45/3.75 (emptyset)))))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((((??) @ (^[Y1 : $i]: 24.45/3.75 (in @ Y1 @ Y0)))) => 24.45/3.75 (((Y0) != (emptyset)))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i]: 24.45/3.75 (in @ Y0 @ 24.45/3.75 (setadjoin @ Y0 @ Y1)))))))) => 24.45/3.75 (((in @ emptyset @ 24.45/3.75 (setadjoin @ emptyset @ emptyset)) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (((in @ Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ Y2 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ Y1))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (((in @ 24.45/3.75 Y2 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y0))) => 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (Y3))) => 24.45/3.75 (Y3))))))))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) | 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y0)))))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((dsetconstr @ Y0 @ 24.45/3.75 (^[Y1 : $i]: ($true))) = 24.45/3.75 (Y0)))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0)))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (in @ emptyset @ 24.45/3.75 (powerset @ Y0))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (in @ emptyset @ 24.45/3.75 (powerset @ Y0))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0)) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setunion @ 24.45/3.75 Y0))))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setunion @ 24.45/3.75 Y0)) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 Y3) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y3 @ 24.45/3.75 Y0) => 24.45/3.75 (Y2)))))))) => 24.45/3.75 (Y2)))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 ( 24.45/3.75 setunion @ 24.45/3.75 Y0))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) <=> 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y1)))))))))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (((((Y0) != 24.45/3.75 (emptyset))) => 24.45/3.75 (((??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y1 @ Y0))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset)) => 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) != 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 emptyset)))))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset)))))))))) => 24.45/3.75 (((( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset)) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 emptyset)))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y1))) | 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y0)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (Y1 @ Y2)))))) => 24.45/3.75 (( 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) != 24.45/3.75 (emptyset))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset) => 24.45/3.75 (Y0 @ Y1))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 ( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (Y1 @ Y2)))))))) => 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 Y1 @ Y2)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 Y1 @ Y2)))))))) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 ( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (Y1 @ Y2)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 ( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (Y1 @ Y2)))))))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 Y1 @ Y2)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 Y1 @ Y2)))))))) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 ( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (Y1 @ Y2)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $o]: 24.45/3.75 (( 24.45/3.75 (Y0) => 24.45/3.75 (in @ 24.45/3.75 emptyset @ 24.45/3.75 ( 24.45/3.75 prop2set @ 24.45/3.75 Y0))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $o]: 24.45/3.75 (( 24.45/3.75 (Y0) => 24.45/3.75 (set2prop @ 24.45/3.75 ( 24.45/3.75 prop2set @ 24.45/3.75 Y0))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 ( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (Y1 @ Y2)))))))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 Y1 @ Y2)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 ( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (Y1 @ Y2)))))))) => 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) & 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 Y1 @ Y2)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (Y0 @ Y1)))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2)))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) <=> 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y1))))))))))) => 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2)))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y3 @ Y1))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) <=> 24.45/3.75 (in @ 24.45/3.75 Y3 @ Y1))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2)))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) <=> 24.45/3.75 (Y1 @ Y3))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y3) => 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))))))))))))) <=> 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y1 @ 24.45/3.75 Y2) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (Y1 @ 24.45/3.75 Y3) => 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))))))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 Y2) = 24.45/3.75 (setadjoin @ 24.45/3.75 Y1 @ Y3))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (powerset @ 24.45/3.75 Y0) = 24.45/3.75 (powerset @ 24.45/3.75 Y1))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (setunion @ 24.45/3.75 Y0) = 24.45/3.75 (setunion @ 24.45/3.75 Y1))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2)))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) <=> 24.45/3.75 (Y1 @ Y3))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y3) => 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y1 @ 24.45/3.75 Y2) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (Y1 @ 24.45/3.75 Y3) => 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y3))))))))))))) => 24.45/3.75 (( 24.45/3.75 (descr @ 24.45/3.75 Y0) = 24.45/3.75 (descr @ 24.45/3.75 Y1))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y4 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y4 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y5 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y5 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y4) = 24.45/3.75 (Y5))) => 24.45/3.75 (( 24.45/3.75 (Y2 @ 24.45/3.75 Y4) <=> 24.45/3.75 (Y3 @ Y5))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ 24.45/3.75 Y2) = 24.45/3.75 (dsetconstr @ 24.45/3.75 Y1 @ Y3))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y1)))))) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y1))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (subset @ 24.45/3.75 Y1 @ Y0))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y1))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y1)))))) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y1))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (subset @ 24.45/3.75 emptyset @ 24.45/3.75 Y0)))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y1)))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y1))) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y0)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y1))) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 subset @ 24.45/3.75 Y0 @ Y1)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 subset @ 24.45/3.75 Y0 @ Y1))) => 24.45/3.75 (( 24.45/3.75 (Y0) != 24.45/3.75 (Y1))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y1))) => 24.45/3.75 (( 24.45/3.75 (Y0) != 24.45/3.75 (Y1)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y0)))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 Y2) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y2)))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ Y1)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y1)))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 emptyset) => 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (emptyset)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0)))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0)) => 24.45/3.75 (subset @ 24.45/3.75 Y1 @ Y0))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 (powerset @ 24.45/3.75 Y0))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (subset @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y0) @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 Y1)))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (in @ 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 (powerset @ 24.45/3.75 Y0)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i > $o]: 24.45/3.75 (subset @ 24.45/3.75 (dsetconstr @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 Y0))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $o]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (Y3))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (Y3))) => 24.45/3.75 (Y3))))))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) | 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 (binunion @ 24.45/3.75 Y0 @ Y1)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (subset @ 24.45/3.75 Y1 @ 24.45/3.75 (binunion @ 24.45/3.75 Y0 @ Y1)))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 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^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (subset @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) => 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) = 24.45/3.75 (Y0))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 Y1) = 24.45/3.75 (Y1))) => 24.45/3.75 (subset @ 24.45/3.75 Y1 @ Y0))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y1)))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 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24.45/3.75 Y1) = 24.45/3.75 (Y0))) => 24.45/3.75 (subset @ 24.45/3.75 Y0 @ Y1))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (binintersect @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 binunion @ 24.45/3.75 Y1 @ Y2)) = 24.45/3.75 (binunion @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y1) @ 24.45/3.75 ( 24.45/3.75 binintersect @ 24.45/3.75 Y0 @ Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y1))) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setminus @ 24.45/3.75 Y0 @ Y1))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setminus @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))))))))) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setminus @ 24.45/3.75 Y0 @ Y1)) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.45/3.75 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl114])). 24.45/3.75 thf(zip_derived_cl147, plain, 24.45/3.75 (~ (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i > $o]: 24.45/3.75 (((((??) @ (^[Y1 : $i]: 24.45/3.75 (((Y0 @ Y1) & 24.45/3.75 (((!!) @ (^[Y2 : $i]: 24.45/3.75 (((Y0 @ Y2) => 24.45/3.75 (((Y1) = (Y2))))))))))))) => 24.45/3.75 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ (^[Y1 : $i]: 24.45/3.75 (((((!!) @ (^[Y2 : $i]: 24.45/3.75 (((in @ Y2 @ Y0) => 24.45/3.75 (in @ Y2 @ Y1)))))) => 24.45/3.75 (((((!!) @ (^[Y2 : $i]: 24.45/3.75 (((in @ Y2 @ Y1) => 24.45/3.75 (in @ Y2 @ Y0)))))) => 24.45/3.75 (((Y0) = (Y1))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 24.45/3.75 (((Y0) = (emptyset)))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((((!!) @ (^[Y1 : $i]: 24.45/3.75 (((~) @ (in @ Y1 @ Y0)))))) => 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@ 24.45/3.75 Y2 @ 24.45/3.75 Y1) => 24.45/3.75 (in @ 24.45/3.75 Y2 @ Y0)))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setunion @ 24.45/3.75 Y0))))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setunion @ 24.45/3.75 Y0)) => 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y3 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 Y3) => 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y3 @ 24.45/3.75 Y0) => 24.45/3.75 (Y2)))))))) => 24.45/3.75 (Y2)))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 Y0) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 powerset @ 24.45/3.75 ( 24.45/3.75 setunion @ 24.45/3.75 Y0))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i > $o]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y1) & 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) => 24.45/3.75 (( 24.45/3.75 (Y1) = 24.45/3.75 (Y2))))))))))))) => 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (Y0 @ 24.45/3.75 Y2) <=> 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y1)))))))))))))))) => 24.45/3.75 (((((!!) @ (^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) != 24.45/3.75 (emptyset))) => 24.45/3.75 (( 24.45/3.75 (??) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y1 @ Y0))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset)) => 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (((!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) != 24.45/3.75 (Y1))) => 24.45/3.75 (( 24.45/3.75 (~) @ ( 24.45/3.75 in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 emptyset)))))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y0) = 24.45/3.75 (Y1))) => 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset)))))))))) => 24.45/3.75 (((((!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset)) => 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 emptyset)))))))))) => 24.45/3.75 (((( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y2 : $i]: 24.45/3.75 (( 24.45/3.75 (in @ 24.45/3.75 Y2 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 ( 24.45/3.75 setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y1))) | 24.45/3.75 (( 24.45/3.75 (Y2) = 24.45/3.75 (Y0)))))))))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y1 @ 24.45/3.75 emptyset))))))))) => 24.45/3.75 (( 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y0 : $i]: 24.45/3.75 (( 24.45/3.75 (!!) @ ( 24.45/3.75 ^[Y1 : $i]: 24.45/3.75 (in @ 24.45/3.75 Y1 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y0 @ 24.45/3.75 (setadjoin @ 24.45/3.75 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))) => 24.45/3.76 (( 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) != 24.45/3.76 (emptyset))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset) => 24.45/3.76 (Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $o]: 24.45/3.76 (( 24.45/3.76 (Y0) => 24.45/3.76 (in @ 24.45/3.76 emptyset @ 24.45/3.76 ( 24.45/3.76 prop2set @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $o]: 24.45/3.76 (( 24.45/3.76 (Y0) => 24.45/3.76 (set2prop @ 24.45/3.76 ( 24.45/3.76 prop2set @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (Y0 @ Y1)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y3 @ Y1))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) <=> 24.45/3.76 (in @ 24.45/3.76 Y3 @ Y1))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (Y1 @ Y3))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) <=> 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) = 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (powerset @ 24.45/3.76 Y0) = 24.45/3.76 (powerset @ 24.45/3.76 Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (setunion @ 24.45/3.76 Y0) = 24.45/3.76 (setunion @ 24.45/3.76 Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (Y1 @ Y3))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) => 24.45/3.76 (( 24.45/3.76 (descr @ 24.45/3.76 Y0) = 24.45/3.76 (descr @ 24.45/3.76 Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y4 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y4 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y5 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y5 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y4) = 24.45/3.76 (Y5))) => 24.45/3.76 (( 24.45/3.76 (Y2 @ 24.45/3.76 Y4) <=> 24.45/3.76 (Y3 @ Y5))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) = 24.45/3.76 (dsetconstr @ 24.45/3.76 Y1 @ Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (subset @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (subset @ 24.45/3.76 emptyset @ 24.45/3.76 Y0)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y0)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 subset @ 24.45/3.76 Y0 @ Y1)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 subset @ 24.45/3.76 Y0 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y0)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y2) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y2)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y1)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (emptyset)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0)) => 24.45/3.76 (subset @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 (powerset @ 24.45/3.76 Y0))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (subset @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0) @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y1)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (in @ 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ Y1) @ 24.45/3.76 (powerset @ 24.45/3.76 Y0)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (subset @ 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ Y1) @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $o]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1)) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (Y3))) => 24.45/3.76 (Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1)) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) | 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y0)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 (binunion @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 (binunion @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binintersect @ 24.45/3.76 Y0 @ Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (subset @ 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$i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y1)))))))))))))))) => 24.45/3.76 (((((!!) @ (^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (emptyset))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (((((!!) @ (^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (((!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset)))))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (((!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)) => 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset)))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y1))) | 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y0)))))))))))))))) => 24.45/3.76 (((( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))) => 24.45/3.76 (( 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) != 24.45/3.76 (emptyset))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset) => 24.45/3.76 (Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $o]: 24.45/3.76 (( 24.45/3.76 (Y0) => 24.45/3.76 (in @ 24.45/3.76 emptyset @ 24.45/3.76 ( 24.45/3.76 prop2set @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $o]: 24.45/3.76 (( 24.45/3.76 (Y0) => 24.45/3.76 (set2prop @ 24.45/3.76 ( 24.45/3.76 prop2set @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (Y0 @ Y1)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y3 @ Y1))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) <=> 24.45/3.76 (in @ 24.45/3.76 Y3 @ Y1))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (Y1 @ Y3))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) <=> 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) = 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (powerset @ 24.45/3.76 Y0) = 24.45/3.76 (powerset @ 24.45/3.76 Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (setunion @ 24.45/3.76 Y0) = 24.45/3.76 (setunion @ 24.45/3.76 Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (Y1 @ Y3))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) => 24.45/3.76 (( 24.45/3.76 (descr @ 24.45/3.76 Y0) = 24.45/3.76 (descr @ 24.45/3.76 Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y4 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y4 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y5 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y5 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y4) = 24.45/3.76 (Y5))) => 24.45/3.76 (( 24.45/3.76 (Y2 @ 24.45/3.76 Y4) <=> 24.45/3.76 (Y3 @ Y5))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) = 24.45/3.76 (dsetconstr @ 24.45/3.76 Y1 @ Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (subset @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (subset @ 24.45/3.76 emptyset @ 24.45/3.76 Y0)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y0)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 subset @ 24.45/3.76 Y0 @ Y1)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 subset @ 24.45/3.76 Y0 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y0)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y2) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y2)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y1)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (emptyset)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0)) => 24.45/3.76 (subset @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 (powerset @ 24.45/3.76 Y0))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (subset @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0) @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y1)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (in @ 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ Y1) @ 24.45/3.76 (powerset @ 24.45/3.76 Y0)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (subset @ 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ Y1) @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $o]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1)) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (Y3))) => 24.45/3.76 (Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1)) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) | 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y0)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 (binunion @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 (binunion @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binintersect @ 24.45/3.76 Y0 @ Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (subset @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binintersect @ 24.45/3.76 Y0 @ Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 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!= 24.45/3.76 (emptyset))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (((((!!) @ (^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (((((!!) @ (^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset)))))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (((!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (((!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)) => 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset)))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y1))) | 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y0)))))))))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (((( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))) => 24.45/3.76 (( 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) != 24.45/3.76 (emptyset))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset) => 24.45/3.76 (Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $o]: 24.45/3.76 (( 24.45/3.76 (Y0) => 24.45/3.76 (in @ 24.45/3.76 emptyset @ 24.45/3.76 ( 24.45/3.76 prop2set @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $o]: 24.45/3.76 (( 24.45/3.76 (Y0) => 24.45/3.76 (set2prop @ 24.45/3.76 ( 24.45/3.76 prop2set @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 ( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y1 @ Y2)))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 Y1 @ Y2)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (Y0 @ Y1)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y3 @ Y1))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) <=> 24.45/3.76 (in @ 24.45/3.76 Y3 @ Y1))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (Y1 @ Y3))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) <=> 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) = 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (powerset @ 24.45/3.76 Y0) = 24.45/3.76 (powerset @ 24.45/3.76 Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (setunion @ 24.45/3.76 Y0) = 24.45/3.76 (setunion @ 24.45/3.76 Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (( 24.45/3.76 (Y1) = 24.45/3.76 (Y2)))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) <=> 24.45/3.76 (Y1 @ Y3))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y0 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y2) & 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i]: 24.45/3.76 (( 24.45/3.76 (Y1 @ 24.45/3.76 Y3) => 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y3))))))))))))) => 24.45/3.76 (( 24.45/3.76 (descr @ 24.45/3.76 Y0) = 24.45/3.76 (descr @ 24.45/3.76 Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y4 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y4 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y5 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y5 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y4) = 24.45/3.76 (Y5))) => 24.45/3.76 (( 24.45/3.76 (Y2 @ 24.45/3.76 Y4) <=> 24.45/3.76 (Y3 @ Y5))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) = 24.45/3.76 (dsetconstr @ 24.45/3.76 Y1 @ Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (subset @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y1))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (subset @ 24.45/3.76 emptyset @ 24.45/3.76 Y0)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y1)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y0)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 subset @ 24.45/3.76 Y0 @ Y1)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 subset @ 24.45/3.76 Y0 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (~) @ ( 24.45/3.76 in @ 24.45/3.76 Y2 @ Y1))) => 24.45/3.76 (( 24.45/3.76 (Y0) != 24.45/3.76 (Y1)))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y0)))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y2) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ Y2)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y2) => 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ Y2))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y1)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset) => 24.45/3.76 (( 24.45/3.76 (Y0) = 24.45/3.76 (emptyset)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0)) => 24.45/3.76 (subset @ 24.45/3.76 Y1 @ Y0))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 (powerset @ 24.45/3.76 Y0))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (subset @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y0) @ 24.45/3.76 ( 24.45/3.76 powerset @ 24.45/3.76 Y1)))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (in @ 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ Y1) @ 24.45/3.76 (powerset @ 24.45/3.76 Y0)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (subset @ 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ Y1) @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y3 : $o]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1)) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (Y3))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (Y3))) => 24.45/3.76 (Y3))))))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binunion @ 24.45/3.76 Y0 @ Y1)) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) | 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y0)))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 (binunion @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 Y1 @ 24.45/3.76 (binunion @ 24.45/3.76 Y0 @ Y1)))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binintersect @ 24.45/3.76 Y0 @ Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) => 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y2 @ 24.45/3.76 Y1) => 24.45/3.76 (subset @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binintersect @ 24.45/3.76 Y0 @ Y1))))))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 binintersect @ 24.45/3.76 Y0 @ Y1)) => 24.45/3.76 (in @ 24.45/3.76 Y2 @ Y0)))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (subset @ 24.45/3.76 (binintersect @ 24.45/3.76 Y0 @ Y1) @ 24.45/3.76 Y0))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (subset @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) => 24.45/3.76 (( 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setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (((!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset)) => 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 emptyset)))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (((!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 ( 24.45/3.76 setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y1))) | 24.45/3.76 (( 24.45/3.76 (Y2) = 24.45/3.76 (Y0)))))))))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (((((!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i]: 24.45/3.76 (in @ 24.45/3.76 Y1 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y0 @ 24.45/3.76 (setadjoin @ 24.45/3.76 Y1 @ 24.45/3.76 emptyset))))))))) => 24.45/3.76 (((( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y0 : $i]: 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.76 ^[Y1 : $i > $o]: 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (??) @ ( 24.45/3.76 ^[Y2 : $i]: 24.45/3.76 (( 24.45/3.76 (in @ 24.45/3.76 Y2 @ 24.45/3.76 Y0) & 24.45/3.76 (Y1 @ Y2)))))) => 24.45/3.76 (( 24.45/3.76 (dsetconstr @ 24.45/3.76 Y0 @ 24.45/3.76 Y1) != 24.45/3.76 (emptyset))))))))))) => 24.45/3.76 (( 24.45/3.76 (( 24.45/3.76 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 emptyset) => 24.45/3.77 (Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $o]: 24.45/3.77 (( 24.45/3.77 (Y0) => 24.45/3.77 (in @ 24.45/3.77 emptyset @ 24.45/3.77 ( 24.45/3.77 prop2set @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $o]: 24.45/3.77 (( 24.45/3.77 (Y0) => 24.45/3.77 (set2prop @ 24.45/3.77 ( 24.45/3.77 prop2set @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (Y0 @ Y1)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y3 @ Y1))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) <=> 24.45/3.77 (in @ 24.45/3.77 Y3 @ Y1))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (Y1 @ Y3))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) <=> 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) = 24.45/3.77 (setadjoin @ 24.45/3.77 Y1 @ Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (powerset @ 24.45/3.77 Y0) = 24.45/3.77 (powerset @ 24.45/3.77 Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (setunion @ 24.45/3.77 Y0) = 24.45/3.77 (setunion @ 24.45/3.77 Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (Y1 @ Y3))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) => 24.45/3.77 (( 24.45/3.77 (descr @ 24.45/3.77 Y0) = 24.45/3.77 (descr @ 24.45/3.77 Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y4 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y4 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y5 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y5 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y4) = 24.45/3.77 (Y5))) => 24.45/3.77 (( 24.45/3.77 (Y2 @ 24.45/3.77 Y4) <=> 24.45/3.77 (Y3 @ Y5))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) = 24.45/3.77 (dsetconstr @ 24.45/3.77 Y1 @ Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (subset @ 24.45/3.77 Y1 @ Y0))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (subset @ 24.45/3.77 emptyset @ 24.45/3.77 Y0)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y0)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 subset @ 24.45/3.77 Y0 @ Y1)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 subset @ 24.45/3.77 Y0 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (Y0) != 24.45/3.77 (Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (Y0) != 24.45/3.77 (Y1)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y0)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y2) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y2)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 ( 24.45/3.77 setadjoin @ 24.45/3.77 Y1 @ Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y0 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y1)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 emptyset) => 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (emptyset)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0)) => 24.45/3.77 (subset @ 24.45/3.77 Y1 @ Y0))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (in @ 24.45/3.77 Y0 @ 24.45/3.77 (powerset @ 24.45/3.77 Y0))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (subset @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0) @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y1)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (in @ 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 (powerset @ 24.45/3.77 Y0)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (subset @ 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ 24.45/3.77 (setadjoin @ 24.45/3.77 Y1 @ 24.45/3.77 emptyset))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $o]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (Y3))) => 24.45/3.77 (Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) | 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y0)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 (binunion @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 (binunion @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binintersect @ 24.45/3.77 Y0 @ Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binintersect @ 24.45/3.77 Y0 @ Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binintersect @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y0)))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 (binintersect @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 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24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (Y1 @ Y2)))))) => 24.45/3.77 (( 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) != 24.45/3.77 (emptyset))))))))))) => 24.45/3.77 (((( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 emptyset) => 24.45/3.77 (Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $o]: 24.45/3.77 (( 24.45/3.77 (Y0) => 24.45/3.77 (in @ 24.45/3.77 emptyset @ 24.45/3.77 ( 24.45/3.77 prop2set @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $o]: 24.45/3.77 (( 24.45/3.77 (Y0) => 24.45/3.77 (set2prop @ 24.45/3.77 ( 24.45/3.77 prop2set @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (Y0 @ Y1)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y3 @ Y1))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) <=> 24.45/3.77 (in @ 24.45/3.77 Y3 @ Y1))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (Y1 @ Y3))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) <=> 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) = 24.45/3.77 (setadjoin @ 24.45/3.77 Y1 @ Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (powerset @ 24.45/3.77 Y0) = 24.45/3.77 (powerset @ 24.45/3.77 Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (setunion @ 24.45/3.77 Y0) = 24.45/3.77 (setunion @ 24.45/3.77 Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (Y1 @ Y3))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) => 24.45/3.77 (( 24.45/3.77 (descr @ 24.45/3.77 Y0) = 24.45/3.77 (descr @ 24.45/3.77 Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y4 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y4 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y5 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y5 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y4) = 24.45/3.77 (Y5))) => 24.45/3.77 (( 24.45/3.77 (Y2 @ 24.45/3.77 Y4) <=> 24.45/3.77 (Y3 @ Y5))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) = 24.45/3.77 (dsetconstr @ 24.45/3.77 Y1 @ Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (subset @ 24.45/3.77 Y1 @ Y0))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (subset @ 24.45/3.77 emptyset @ 24.45/3.77 Y0)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y0)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 subset @ 24.45/3.77 Y0 @ Y1)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 subset @ 24.45/3.77 Y0 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (Y0) != 24.45/3.77 (Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (Y0) != 24.45/3.77 (Y1)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y0)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y2) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y2)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 ( 24.45/3.77 setadjoin @ 24.45/3.77 Y1 @ Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y0 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y1)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 emptyset) => 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (emptyset)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0)) => 24.45/3.77 (subset @ 24.45/3.77 Y1 @ Y0))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (in @ 24.45/3.77 Y0 @ 24.45/3.77 (powerset @ 24.45/3.77 Y0))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (subset @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0) @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y1)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (in @ 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 (powerset @ 24.45/3.77 Y0)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (subset @ 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ 24.45/3.77 (setadjoin @ 24.45/3.77 Y1 @ 24.45/3.77 emptyset))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $o]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (Y3))) => 24.45/3.77 (Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) | 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y0)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 (binunion @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 (binunion @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binintersect @ 24.45/3.77 Y0 @ Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binintersect @ 24.45/3.77 Y0 @ Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binintersect @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y0)))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 (binintersect @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (binintersect @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) = 24.45/3.77 (Y0))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (binintersect @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) = 24.45/3.77 (Y1))) => 24.45/3.77 (subset @ 24.45/3.77 Y1 @ Y0))))))))) => 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^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 ( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) & 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 Y1 @ Y2)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (Y0 @ Y1)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y3 @ Y1))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) <=> 24.45/3.77 (in @ 24.45/3.77 Y3 @ Y1))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (Y1 @ Y3))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) <=> 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) = 24.45/3.77 (setadjoin @ 24.45/3.77 Y1 @ Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (powerset @ 24.45/3.77 Y0) = 24.45/3.77 (powerset @ 24.45/3.77 Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (setunion @ 24.45/3.77 Y0) = 24.45/3.77 (setunion @ 24.45/3.77 Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (( 24.45/3.77 (Y1) = 24.45/3.77 (Y2)))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) <=> 24.45/3.77 (Y1 @ Y3))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y0 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y2) & 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i]: 24.45/3.77 (( 24.45/3.77 (Y1 @ 24.45/3.77 Y3) => 24.45/3.77 (( 24.45/3.77 (Y2) = 24.45/3.77 (Y3))))))))))))) => 24.45/3.77 (( 24.45/3.77 (descr @ 24.45/3.77 Y0) = 24.45/3.77 (descr @ 24.45/3.77 Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $i > $o]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y4 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y4 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y5 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y5 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y4) = 24.45/3.77 (Y5))) => 24.45/3.77 (( 24.45/3.77 (Y2 @ 24.45/3.77 Y4) <=> 24.45/3.77 (Y3 @ Y5))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) = 24.45/3.77 (dsetconstr @ 24.45/3.77 Y1 @ Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (subset @ 24.45/3.77 Y1 @ Y0))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y1))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (subset @ 24.45/3.77 emptyset @ 24.45/3.77 Y0)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y1)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y0)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 subset @ 24.45/3.77 Y0 @ Y1)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 subset @ 24.45/3.77 Y0 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (Y0) != 24.45/3.77 (Y1))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (~) @ ( 24.45/3.77 in @ 24.45/3.77 Y2 @ Y1))) => 24.45/3.77 (( 24.45/3.77 (Y0) != 24.45/3.77 (Y1)))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y0)))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y2) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ Y2)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 (setadjoin @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y2) => 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 ( 24.45/3.77 setadjoin @ 24.45/3.77 Y1 @ Y2))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y0 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y1)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (Y1))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 emptyset) => 24.45/3.77 (( 24.45/3.77 (Y0) = 24.45/3.77 (emptyset)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 Y0) => 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y1 @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0)) => 24.45/3.77 (subset @ 24.45/3.77 Y1 @ Y0))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (in @ 24.45/3.77 Y0 @ 24.45/3.77 (powerset @ 24.45/3.77 Y0))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 Y1) => 24.45/3.77 (subset @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y0) @ 24.45/3.77 ( 24.45/3.77 powerset @ 24.45/3.77 Y1)))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (in @ 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 (powerset @ 24.45/3.77 Y0)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i > $o]: 24.45/3.77 (subset @ 24.45/3.77 (dsetconstr @ 24.45/3.77 Y0 @ Y1) @ 24.45/3.77 Y0))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 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$i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y3 : $o]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y3))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (Y3))) => 24.45/3.77 (Y3))))))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binunion @ 24.45/3.77 Y0 @ Y1)) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) | 24.45/3.77 (in @ 24.45/3.77 Y2 @ Y0)))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y0 @ 24.45/3.77 (binunion @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (subset @ 24.45/3.77 Y1 @ 24.45/3.77 (binunion @ 24.45/3.77 Y0 @ Y1)))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 ( 24.45/3.77 binintersect @ 24.45/3.77 Y0 @ Y1))))))))))))))) => 24.45/3.77 (( 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y0 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y1 : $i]: 24.45/3.77 (( 24.45/3.77 (!!) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (( 24.45/3.77 (subset @ 24.45/3.77 Y2 @ 24.45/3.77 Y1) => 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@ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.77 (( 24.45/3.77 (in @ 24.45/3.77 Y2 @ 24.45/3.77 Y0) => 24.45/3.77 (Y1 @ Y2)))))))) => 24.45/3.77 (( 24.45/3.77 (??) @ ( 24.45/3.77 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (Y0 @ Y1)))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) <=> 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y3 @ Y1))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) <=> 24.45/3.78 (in @ 24.45/3.78 Y3 @ Y1))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) <=> 24.45/3.78 (Y1 @ Y3))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))) <=> 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 Y2) = 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ Y3))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (powerset @ 24.45/3.78 Y0) = 24.45/3.78 (powerset @ 24.45/3.78 Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (setunion @ 24.45/3.78 Y0) = 24.45/3.78 (setunion @ 24.45/3.78 Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) <=> 24.45/3.78 (Y1 @ Y3))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))) => 24.45/3.78 (( 24.45/3.78 (descr @ 24.45/3.78 Y0) = 24.45/3.78 (descr @ 24.45/3.78 Y1))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y4 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y4 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y5 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y5 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y4) = 24.45/3.78 (Y5))) => 24.45/3.78 (( 24.45/3.78 (Y2 @ 24.45/3.78 Y4) <=> 24.45/3.78 (Y3 @ Y5))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ 24.45/3.78 Y2) = 24.45/3.78 (dsetconstr @ 24.45/3.78 Y1 @ Y3))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y1))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (subset @ 24.45/3.78 Y1 @ Y0))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y1))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y1))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (subset @ 24.45/3.78 emptyset @ 24.45/3.78 Y0)))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y0)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 subset @ 24.45/3.78 Y0 @ Y1)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 subset @ 24.45/3.78 Y0 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (Y0) != 24.45/3.78 (Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (Y0) != 24.45/3.78 (Y1)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y0)))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 Y2) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y2)))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ Y1)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y1 @ Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y1)))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 emptyset) => 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (emptyset)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y0)))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y0)) => 24.45/3.78 (subset @ 24.45/3.78 Y1 @ Y0))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 (powerset @ 24.45/3.78 Y0))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (subset @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y0) @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y1)))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (in @ 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ Y1) @ 24.45/3.78 (powerset @ 24.45/3.78 Y0)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (subset @ 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ Y1) @ 24.45/3.78 Y0))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binunion @ 24.45/3.78 Y0 @ Y1))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binunion @ 24.45/3.78 Y0 @ Y1))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $o]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binunion @ 24.45/3.78 Y0 @ Y1)) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) => 24.45/3.78 (Y3))) => 24.45/3.78 (Y3))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binunion @ 24.45/3.78 Y0 @ Y1)) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) | 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y0)))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 (binunion @ 24.45/3.78 Y0 @ Y1)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 (binunion @ 24.45/3.78 Y0 @ Y1)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binintersect @ 24.45/3.78 Y0 @ Y1))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) => 24.45/3.78 (subset @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binintersect @ 24.45/3.78 Y0 @ Y1))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binintersect @ 24.45/3.78 Y0 @ Y1)) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y0)))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (subset @ 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ Y1) @ 24.45/3.78 Y0))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) = 24.45/3.78 (Y0))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) = 24.45/3.78 (Y1))) => 24.45/3.78 (subset @ 24.45/3.78 Y1 @ Y0))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binintersect @ 24.45/3.78 Y0 @ Y1)) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))))) => 24.45/3.78 (( 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) = 24.45/3.78 (emptyset))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (subset @ 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ Y1) @ 24.45/3.78 Y1))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) = 24.45/3.78 (Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) = 24.45/3.78 (Y0))) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y1))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (binintersect @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 binunion @ 24.45/3.78 Y1 @ Y2)) = 24.45/3.78 (binunion @ 24.45/3.78 ( 24.45/3.78 binintersect @ 24.45/3.78 Y0 @ Y1) @ 24.45/3.78 ( 24.45/3.78 binintersect @ 24.45/3.78 Y0 @ Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 setminus @ 24.45/3.78 Y0 @ Y1))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 setminus @ 24.45/3.78 Y0 @ Y1)) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y0)))))))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 setminus @ 24.45/3.78 Y0 @ Y1)) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.45/3.78 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl221])). 24.45/3.78 thf(zip_derived_cl239, plain, 24.45/3.78 (~ (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((((Y0) != (emptyset))) => 24.45/3.78 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i > $o]: 24.45/3.78 (((!!) @ (^[Y2 : $i]: 24.45/3.78 (((in @ Y2 @ Y0) => 24.45/3.78 (((Y1 @ Y2) => 24.45/3.78 (((dsetconstr @ Y0 @ 24.45/3.78 Y1) != (emptyset)))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 24.45/3.78 (((Y0) != (emptyset)))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 24.45/3.78 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((!!) @ (^[Y2 : $i]: 24.45/3.78 (((in @ Y2 @ Y1) => 24.45/3.78 (in @ Y2 @ 24.45/3.78 (setadjoin @ Y0 @ Y1))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((!!) @ (^[Y2 : $i]: 24.45/3.78 (((in @ Y2 @ 24.45/3.78 (setadjoin @ Y0 @ 24.45/3.78 Y1)) => 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y3 : $o]: 24.45/3.78 (((((( 24.45/3.78 (Y2) = 24.45/3.78 (Y0))) => 24.45/3.78 (Y3))) => 24.45/3.78 (((( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) => 24.45/3.78 (Y3))) => 24.45/3.78 (Y3))))))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((!!) @ (^[Y2 : $i]: 24.45/3.78 (((in @ Y2 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ Y1)) => 24.45/3.78 (((in @ Y2 @ 24.45/3.78 Y1) | 24.45/3.78 (((Y2) = (Y0)))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((dsetconstr @ Y0 @ 24.45/3.78 (^[Y1 : $i]: ($true))) = (Y0)))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((((!!) @ (^[Y2 : $i]: 24.45/3.78 (((in @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y0)))))) => 24.45/3.78 (in @ Y1 @ 24.45/3.78 (powerset @ Y0)))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (in @ emptyset @ (powerset @ Y0))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (in @ emptyset @ (powerset @ Y0))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((!!) @ (^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y0)) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y1) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y0)))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (((in @ Y1 @ 24.45/3.78 Y2) => 24.45/3.78 (((in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 (setunion @ 24.45/3.78 Y0))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((in @ Y1 @ 24.45/3.78 (setunion @ Y0)) => 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y2 : $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y3 @ 24.45/3.78 Y0) => 24.45/3.78 (Y2)))))))) => 24.45/3.78 (Y2)))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (((in @ Y1 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ Y1 @ 24.45/3.78 (powerset @ 24.45/3.78 (setunion @ 24.45/3.78 Y0))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i > $o]: 24.45/3.78 (((((??) @ (^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (((??) @ (^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) <=> 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y1)))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((((Y0) != (emptyset))) => 24.45/3.78 (((??) @ (^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y1 @ Y0))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset)) => 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (((((Y0) != 24.45/3.78 (Y1))) => 24.45/3.78 (((~) @ ( 24.45/3.78 in @ Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 emptyset)))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (((( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset)))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset)) => 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 emptyset)))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y1))) | 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y0)))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))) => 24.45/3.78 (( 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) != 24.45/3.78 (emptyset))))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset) => 24.45/3.78 (Y0 @ Y1))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))))))))))))) => 24.45/3.78 (((( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $o]: 24.45/3.78 (( 24.45/3.78 (Y0) => 24.45/3.78 (in @ 24.45/3.78 emptyset @ 24.45/3.78 ( 24.45/3.78 prop2set @ 24.45/3.78 Y0))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $o]: 24.45/3.78 (( 24.45/3.78 (Y0) => 24.45/3.78 (set2prop @ 24.45/3.78 ( 24.45/3.78 prop2set @ 24.45/3.78 Y0))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (Y0 @ Y1)))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) <=> 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y3 @ Y1))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) <=> 24.45/3.78 (in @ 24.45/3.78 Y3 @ Y1))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) <=> 24.45/3.78 (Y1 @ Y3))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))) <=> 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 Y2) = 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ Y3))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (powerset @ 24.45/3.78 Y0) = 24.45/3.78 (powerset @ 24.45/3.78 Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (setunion @ 24.45/3.78 Y0) = 24.45/3.78 (setunion @ 24.45/3.78 Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) <=> 24.45/3.78 (Y1 @ Y3))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y2) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i]: 24.45/3.78 (( 24.45/3.78 (Y1 @ 24.45/3.78 Y3) => 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y3))))))))))))) => 24.45/3.78 (( 24.45/3.78 (descr @ 24.45/3.78 Y0) = 24.45/3.78 (descr @ 24.45/3.78 Y1))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y3 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y4 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y4 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y5 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y5 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y4) = 24.45/3.78 (Y5))) => 24.45/3.78 (( 24.45/3.78 (Y2 @ 24.45/3.78 Y4) <=> 24.45/3.78 (Y3 @ Y5))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ 24.45/3.78 Y2) = 24.45/3.78 (dsetconstr @ 24.45/3.78 Y1 @ Y3))))))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y1))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (subset @ 24.45/3.78 Y1 @ Y0))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y1))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y1))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (subset @ 24.45/3.78 emptyset @ 24.45/3.78 Y0)))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ Y1)))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y0)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 subset @ 24.45/3.78 Y0 @ Y1)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 subset @ 24.45/3.78 Y0 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (Y0) != 24.45/3.78 (Y1))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y2 @ Y1))) => 24.45/3.78 (( 24.45/3.78 (Y0) != 24.45/3.78 (Y1)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y0)))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 Y2) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ Y2)))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ Y1)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y1 @ Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y1)))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 emptyset) => 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (emptyset)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y1 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y0)))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y0)) => 24.45/3.78 (subset @ 24.45/3.78 Y1 @ Y0))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 (powerset @ 24.45/3.78 Y0))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (subset @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (subset @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y0) @ 24.45/3.78 ( 24.45/3.78 powerset @ 24.45/3.78 Y1)))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (in @ 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ Y1) @ 24.45/3.78 (powerset @ 24.45/3.78 Y0)))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (subset @ 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ Y1) @ 24.45/3.78 Y0))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 binunion @ 24.45/3.78 Y0 @ Y1))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 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24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y1)))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((((Y0) != (emptyset))) => 24.45/3.78 (((??) @ (^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y1 @ Y0))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset)) => 24.45/3.78 (( 24.45/3.78 (Y0) = 24.45/3.78 (Y1))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ (^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y0) != 24.45/3.78 (Y1))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 in @ 24.45/3.78 Y1 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 emptyset)))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (((((Y0) = 24.45/3.78 (Y1))) => 24.45/3.78 (in @ Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset)))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (((in @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset)) => 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 emptyset)))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 ( 24.45/3.78 setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y1))) | 24.45/3.78 (( 24.45/3.78 (Y2) = 24.45/3.78 (Y0)))))))))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y0 @ 24.45/3.78 (setadjoin @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset))))))))) => 24.45/3.78 (((((!!) @ (^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))) => 24.45/3.78 (( 24.45/3.78 (dsetconstr @ 24.45/3.78 Y0 @ 24.45/3.78 Y1) != 24.45/3.78 (emptyset))))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y1 @ 24.45/3.78 emptyset) => 24.45/3.78 (Y0 @ Y1))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (((!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))))))))))))) => 24.45/3.78 (((((!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (((( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $o]: 24.45/3.78 (( 24.45/3.78 (Y0) => 24.45/3.78 (in @ 24.45/3.78 emptyset @ 24.45/3.78 ( 24.45/3.78 prop2set @ 24.45/3.78 Y0))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $o]: 24.45/3.78 (( 24.45/3.78 (Y0) => 24.45/3.78 (set2prop @ 24.45/3.78 ( 24.45/3.78 prop2set @ 24.45/3.78 Y0))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 ( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) => 24.45/3.78 (Y1 @ Y2)))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (in @ 24.45/3.78 Y2 @ 24.45/3.78 Y0) & 24.45/3.78 (( 24.45/3.78 (~) @ ( 24.45/3.78 Y1 @ Y2)))))))))))))))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y0 : $i > $o]: 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (Y0 @ Y1)))) => 24.45/3.78 (( 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) => 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2))))))))))))) => 24.45/3.78 (( 24.45/3.78 (??) @ ( 24.45/3.78 ^[Y1 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y1) & 24.45/3.78 (( 24.45/3.78 (!!) @ ( 24.45/3.78 ^[Y2 : $i]: 24.45/3.78 (( 24.45/3.78 (Y0 @ 24.45/3.78 Y2) => 24.45/3.78 (( 24.45/3.78 (Y1) = 24.45/3.78 (Y2)))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) <=> 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y1))))))))))) => 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2)))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (in @ 24.66/3.78 Y3 @ Y1))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) <=> 24.66/3.78 (in @ 24.66/3.78 Y3 @ Y1))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2))))))))))))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2)))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) <=> 24.66/3.78 (Y1 @ Y3))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y3) => 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))))))))))))) <=> 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y1 @ 24.66/3.78 Y2) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (Y1 @ 24.66/3.78 Y3) => 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))))))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (setadjoin @ 24.66/3.78 Y0 @ 24.66/3.78 Y2) = 24.66/3.78 (setadjoin @ 24.66/3.78 Y1 @ Y3))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (powerset @ 24.66/3.78 Y0) = 24.66/3.78 (powerset @ 24.66/3.78 Y1))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (setunion @ 24.66/3.78 Y0) = 24.66/3.78 (setunion @ 24.66/3.78 Y1))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2))))))))))))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2)))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) <=> 24.66/3.78 (Y1 @ Y3))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y3) => 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y1 @ 24.66/3.78 Y2) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (Y1 @ 24.66/3.78 Y3) => 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))))))))))))) => 24.66/3.78 (( 24.66/3.78 (descr @ 24.66/3.78 Y0) = 24.66/3.78 (descr @ 24.66/3.78 Y1))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y4 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y4 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y5 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y5 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y4) = 24.66/3.78 (Y5))) => 24.66/3.78 (( 24.66/3.78 (Y2 @ 24.66/3.78 Y4) <=> 24.66/3.78 (Y3 @ Y5))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (dsetconstr @ 24.66/3.78 Y0 @ 24.66/3.78 Y2) = 24.66/3.78 (dsetconstr @ 24.66/3.78 Y1 @ Y3))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ Y1)))))) => 24.66/3.78 (subset @ 24.66/3.78 Y0 @ Y1))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (subset @ 24.66/3.78 Y1 @ Y0))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (subset @ 24.66/3.78 Y0 @ Y1))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ Y1)))))) => 24.66/3.78 (subset @ 24.66/3.78 Y0 @ Y1))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (subset @ 24.66/3.78 emptyset @ 24.66/3.78 Y0)))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ Y1)))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 in @ 24.66/3.78 Y2 @ Y1))) => 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 in @ 24.66/3.78 Y2 @ Y0)))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 in @ 24.66/3.78 Y2 @ Y1))) => 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 subset @ 24.66/3.78 Y0 @ Y1)))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 subset @ 24.66/3.78 Y0 @ Y1))) => 24.66/3.78 (( 24.66/3.78 (Y0) != 24.66/3.78 (Y1))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 in @ 24.66/3.78 Y2 @ Y1))) => 24.66/3.78 (( 24.66/3.78 (Y0) != 24.66/3.78 (Y1)))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (subset @ 24.66/3.78 Y0 @ Y0)))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y1 @ 24.66/3.78 Y2) => 24.66/3.78 (subset @ 24.66/3.78 Y0 @ Y2)))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (subset @ 24.66/3.78 Y1 @ 24.66/3.78 (setadjoin @ 24.66/3.78 Y0 @ Y1)))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 ( 24.66/3.78 setadjoin @ 24.66/3.78 Y1 @ Y2))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (in @ 24.66/3.78 Y0 @ 24.66/3.78 ( 24.66/3.78 powerset @ 24.66/3.78 Y1)))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y1 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 emptyset) => 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (emptyset)))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y1 @ 24.66/3.78 Y0) => 24.66/3.78 (in @ 24.66/3.78 Y1 @ 24.66/3.78 ( 24.66/3.78 powerset @ 24.66/3.78 Y0)))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y1 @ 24.66/3.78 ( 24.66/3.78 powerset @ 24.66/3.78 Y0)) => 24.66/3.78 (subset @ 24.66/3.78 Y1 @ Y0))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (in @ 24.66/3.78 Y0 @ 24.66/3.78 (powerset @ 24.66/3.78 Y0))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (subset @ 24.66/3.78 ( 24.66/3.78 powerset @ 24.66/3.78 Y0) @ 24.66/3.78 ( 24.66/3.78 powerset @ 24.66/3.78 Y1)))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (in @ 24.66/3.78 (dsetconstr @ 24.66/3.78 Y0 @ Y1) @ 24.66/3.78 (powerset @ 24.66/3.78 Y0)))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (subset @ 24.66/3.78 (dsetconstr @ 24.66/3.78 Y0 @ Y1) @ 24.66/3.78 Y0))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binunion @ 24.66/3.78 Y0 @ Y1))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (in @ 24.66/3.78 Y1 @ 24.66/3.78 (setadjoin @ 24.66/3.78 Y0 @ 24.66/3.78 (setadjoin @ 24.66/3.78 Y1 @ 24.66/3.78 emptyset))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y1) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binunion @ 24.66/3.78 Y0 @ Y1))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $o]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binunion @ 24.66/3.78 Y0 @ Y1)) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y1) => 24.66/3.78 (Y3))) => 24.66/3.78 (Y3))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binunion @ 24.66/3.78 Y0 @ Y1)) => 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y1) | 24.66/3.78 (in @ 24.66/3.78 Y2 @ Y0)))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 (binunion @ 24.66/3.78 Y0 @ Y1)))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (subset @ 24.66/3.78 Y1 @ 24.66/3.78 (binunion @ 24.66/3.78 Y0 @ Y1)))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y1) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binintersect @ 24.66/3.78 Y0 @ Y1))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y2 @ 24.66/3.78 Y1) => 24.66/3.78 (subset @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binintersect @ 24.66/3.78 Y0 @ Y1))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binintersect @ 24.66/3.78 Y0 @ Y1)) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ Y0)))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (subset @ 24.66/3.78 (binintersect @ 24.66/3.78 Y0 @ Y1) @ 24.66/3.78 Y0))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (subset @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (binintersect @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) = 24.66/3.78 (Y0))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (binintersect @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) = 24.66/3.78 (Y1))) => 24.66/3.78 (subset @ 24.66/3.78 Y1 @ Y0))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 ( 24.66/3.78 binintersect @ 24.66/3.78 Y0 @ Y1)) => 24.66/3.78 (in @ 24.66/3.78 Y2 @ Y1)))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 ( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) & 24.66/3.78 (in @ 24.66/3.78 Y2 @ Y1)))))))) => 24.66/3.78 (( 24.66/3.78 (binintersect @ 24.66/3.78 Y0 @ 24.66/3.78 Y1) = 24.66/3.78 (emptyset))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 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24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 Y1 @ Y2)))))))))))))))) => 24.66/3.78 (((((!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) & 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 Y1 @ Y2)))))))) => 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 ( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (Y1 @ Y2)))))))))))))))) => 24.66/3.78 (((( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $o]: 24.66/3.78 (( 24.66/3.78 (Y0) => 24.66/3.78 (in @ 24.66/3.78 emptyset @ 24.66/3.78 ( 24.66/3.78 prop2set @ 24.66/3.78 Y0))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $o]: 24.66/3.78 (( 24.66/3.78 (Y0) => 24.66/3.78 (set2prop @ 24.66/3.78 ( 24.66/3.78 prop2set @ 24.66/3.78 Y0))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 ( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) & 24.66/3.78 (Y1 @ Y2)))))))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 Y1 @ Y2)))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 ( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (Y1 @ Y2)))))))) => 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) & 24.66/3.78 (( 24.66/3.78 (~) @ ( 24.66/3.78 Y1 @ Y2)))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (Y0 @ Y1)))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2))))))))))))) => 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2)))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) <=> 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y1))))))))))) => 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2)))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) => 24.66/3.78 (in @ 24.66/3.78 Y3 @ Y1))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (in @ 24.66/3.78 Y2 @ 24.66/3.78 Y0) <=> 24.66/3.78 (in @ 24.66/3.78 Y3 @ Y1))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2))))))))))))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2)))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) <=> 24.66/3.78 (Y1 @ Y3))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y3) => 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))))))))))))) <=> 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y1 @ 24.66/3.78 Y2) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (Y1 @ 24.66/3.78 Y3) => 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))))))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (setadjoin @ 24.66/3.78 Y0 @ 24.66/3.78 Y2) = 24.66/3.78 (setadjoin @ 24.66/3.78 Y1 @ Y3))))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (powerset @ 24.66/3.78 Y0) = 24.66/3.78 (powerset @ 24.66/3.78 Y1))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y0) = 24.66/3.78 (Y1))) => 24.66/3.78 (( 24.66/3.78 (setunion @ 24.66/3.78 Y0) = 24.66/3.78 (setunion @ 24.66/3.78 Y1))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) & 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2))))))))))))) => 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y1) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) => 24.66/3.78 (( 24.66/3.78 (Y1) = 24.66/3.78 (Y2)))))))))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y0 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y1 : $i > $o]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (!!) @ ( 24.66/3.78 ^[Y3 : $i]: 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (Y2) = 24.66/3.78 (Y3))) => 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) <=> 24.66/3.78 (Y1 @ Y3))))))))))) => 24.66/3.78 (( 24.66/3.78 (( 24.66/3.78 (??) @ ( 24.66/3.78 ^[Y2 : $i]: 24.66/3.78 (( 24.66/3.78 (Y0 @ 24.66/3.78 Y2) & 24.66/3.78 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (descr @ 24.66/3.79 Y0) = 24.66/3.79 (descr @ 24.66/3.79 Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y4 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y4 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y5 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y5 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y4) = 24.66/3.79 (Y5))) => 24.66/3.79 (( 24.66/3.79 (Y2 @ 24.66/3.79 Y4) <=> 24.66/3.79 (Y3 @ Y5))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) = 24.66/3.79 (dsetconstr @ 24.66/3.79 Y1 @ Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 emptyset @ 24.66/3.79 Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y0)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y2)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 setadjoin @ 24.66/3.79 Y1 @ Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y1)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 emptyset) => 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (emptyset)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0)) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (in @ 24.66/3.79 Y0 @ 24.66/3.79 (powerset @ 24.66/3.79 Y0))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (subset @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0) @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y1)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (in @ 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 (powerset @ 24.66/3.79 Y0)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (subset @ 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 Y0))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ 24.66/3.79 emptyset))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $o]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (Y3))) => 24.66/3.79 (Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) | 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y0)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 (binunion @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 (binunion @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (subset @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y0)))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 Y0))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (Y0))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (emptyset))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 Y1))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (Y0))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y1 @ Y2)) = 24.66/3.79 (binunion @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y2))))))))))))) => 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24.66/3.79 (Y1 @ Y3))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) <=> 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) = 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (powerset @ 24.66/3.79 Y0) = 24.66/3.79 (powerset @ 24.66/3.79 Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (setunion @ 24.66/3.79 Y0) = 24.66/3.79 (setunion @ 24.66/3.79 Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) <=> 24.66/3.79 (Y1 @ Y3))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (descr @ 24.66/3.79 Y0) = 24.66/3.79 (descr @ 24.66/3.79 Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y4 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y4 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y5 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y5 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y4) = 24.66/3.79 (Y5))) => 24.66/3.79 (( 24.66/3.79 (Y2 @ 24.66/3.79 Y4) <=> 24.66/3.79 (Y3 @ Y5))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) = 24.66/3.79 (dsetconstr @ 24.66/3.79 Y1 @ Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 emptyset @ 24.66/3.79 Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y0)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y2)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 setadjoin @ 24.66/3.79 Y1 @ Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y1)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 emptyset) => 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (emptyset)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0)) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (in @ 24.66/3.79 Y0 @ 24.66/3.79 (powerset @ 24.66/3.79 Y0))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (subset @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0) @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y1)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (in @ 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 (powerset @ 24.66/3.79 Y0)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (subset @ 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 Y0))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ 24.66/3.79 emptyset))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 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24.66/3.79 setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 emptyset)))))))))) => 24.66/3.79 (((((!!) @ (^[Y0 : $i]: 24.66/3.79 (((!!) @ (^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 setadjoin @ 24.66/3.79 Y1 @ 24.66/3.79 emptyset))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y1))) | 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y0)))))))))))))))) => 24.66/3.79 (((((!!) @ (^[Y0 : $i]: 24.66/3.79 (((!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (in @ Y0 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ 24.66/3.79 emptyset))))))))) => 24.66/3.79 (((((!!) @ (^[Y0 : $i]: 24.66/3.79 (((!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (in @ Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ 24.66/3.79 emptyset))))))))) => 24.66/3.79 (((((!!) @ (^[Y0 : $i]: 24.66/3.79 (((!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (Y1 @ Y2)))))) => 24.66/3.79 (( 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) != 24.66/3.79 (emptyset))))))))))) => 24.66/3.79 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.79 (((!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 emptyset) => 24.66/3.79 (Y0 @ Y1))))))))) => 24.66/3.79 (((((!!) @ (^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (Y1 @ Y2)))))))) => 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 Y1 @ Y2)))))))))))))))) => 24.66/3.79 (((((!!) @ (^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 Y1 @ Y2)))))))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (Y1 @ Y2)))))))))))))))) => 24.66/3.79 (((((!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (((!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (Y1 @ Y2)))))))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 Y1 @ Y2)))))))))))))))) => 24.66/3.79 (((((!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (((!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 Y1 @ Y2)))))))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (Y1 @ Y2)))))))))))))))) => 24.66/3.79 (((((!!) @ ( 24.66/3.79 ^[Y0 : $o]: 24.66/3.79 (( 24.66/3.79 (Y0) => 24.66/3.79 (in @ 24.66/3.79 emptyset @ 24.66/3.79 ( 24.66/3.79 prop2set @ 24.66/3.79 Y0))))))) => 24.66/3.79 (((((!!) @ ( 24.66/3.79 ^[Y0 : $o]: 24.66/3.79 (( 24.66/3.79 (Y0) => 24.66/3.79 (set2prop @ 24.66/3.79 ( 24.66/3.79 prop2set @ 24.66/3.79 Y0))))))) => 24.66/3.79 (((( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (Y1 @ Y2)))))))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 Y1 @ Y2)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (Y1 @ Y2)))))))) => 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 Y1 @ Y2)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (Y0 @ Y1)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) <=> 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y3 @ Y1))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) <=> 24.66/3.79 (in @ 24.66/3.79 Y3 @ Y1))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) <=> 24.66/3.79 (Y1 @ Y3))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) <=> 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) = 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (powerset @ 24.66/3.79 Y0) = 24.66/3.79 (powerset @ 24.66/3.79 Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (setunion @ 24.66/3.79 Y0) = 24.66/3.79 (setunion @ 24.66/3.79 Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) <=> 24.66/3.79 (Y1 @ Y3))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (descr @ 24.66/3.79 Y0) = 24.66/3.79 (descr @ 24.66/3.79 Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y4 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y4 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y5 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y5 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y4) = 24.66/3.79 (Y5))) => 24.66/3.79 (( 24.66/3.79 (Y2 @ 24.66/3.79 Y4) <=> 24.66/3.79 (Y3 @ Y5))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) = 24.66/3.79 (dsetconstr @ 24.66/3.79 Y1 @ Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 emptyset @ 24.66/3.79 Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y0)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y2)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 setadjoin @ 24.66/3.79 Y1 @ Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y1)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 emptyset) => 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (emptyset)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0)) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (in @ 24.66/3.79 Y0 @ 24.66/3.79 (powerset @ 24.66/3.79 Y0))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (subset @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y0) @ 24.66/3.79 ( 24.66/3.79 powerset @ 24.66/3.79 Y1)))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (in @ 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 (powerset @ 24.66/3.79 Y0)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (subset @ 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 Y0))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (in @ 24.66/3.79 Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ 24.66/3.79 emptyset))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $o]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (Y3))) => 24.66/3.79 (Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binunion @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) | 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y0)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 (binunion @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 (binunion @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y2 @ 24.66/3.79 Y1) => 24.66/3.79 (subset @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y0)))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 Y0))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (Y0))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 ( 24.66/3.79 binintersect @ 24.66/3.79 Y0 @ Y1)) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 ( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) & 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 24.66/3.79 (emptyset))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ Y1) @ 24.66/3.79 Y1))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (binintersect @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) = 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(!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) <=> 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y3 @ Y1))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) <=> 24.66/3.79 (in @ 24.66/3.79 Y3 @ Y1))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) <=> 24.66/3.79 (Y1 @ Y3))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) <=> 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) = 24.66/3.79 (setadjoin @ 24.66/3.79 Y1 @ Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (powerset @ 24.66/3.79 Y0) = 24.66/3.79 (powerset @ 24.66/3.79 Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (setunion @ 24.66/3.79 Y0) = 24.66/3.79 (setunion @ 24.66/3.79 Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (( 24.66/3.79 (Y1) = 24.66/3.79 (Y2)))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))) => 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) <=> 24.66/3.79 (Y1 @ Y3))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y0 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (??) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y2) & 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i]: 24.66/3.79 (( 24.66/3.79 (Y1 @ 24.66/3.79 Y3) => 24.66/3.79 (( 24.66/3.79 (Y2) = 24.66/3.79 (Y3))))))))))))) => 24.66/3.79 (( 24.66/3.79 (descr @ 24.66/3.79 Y0) = 24.66/3.79 (descr @ 24.66/3.79 Y1))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y3 : $i > $o]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y4 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y4 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y5 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y5 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y4) = 24.66/3.79 (Y5))) => 24.66/3.79 (( 24.66/3.79 (Y2 @ 24.66/3.79 Y4) <=> 24.66/3.79 (Y3 @ Y5))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (dsetconstr @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) = 24.66/3.79 (dsetconstr @ 24.66/3.79 Y1 @ Y3))))))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y1 @ Y0))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (Y0) = 24.66/3.79 (Y1))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y1))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 emptyset @ 24.66/3.79 Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (in @ 24.66/3.79 Y2 @ Y1)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y0)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 subset @ 24.66/3.79 Y0 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (in @ 24.66/3.79 Y2 @ 24.66/3.79 Y0) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (~) @ ( 24.66/3.79 in @ 24.66/3.79 Y2 @ Y1))) => 24.66/3.79 (( 24.66/3.79 (Y0) != 24.66/3.79 (Y1)))))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y0)))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y1) => 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ Y2)))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (subset @ 24.66/3.79 Y1 @ 24.66/3.79 (setadjoin @ 24.66/3.79 Y0 @ Y1)))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y2 : $i]: 24.66/3.79 (( 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 Y2) => 24.66/3.79 (subset @ 24.66/3.79 Y0 @ 24.66/3.79 ( 24.66/3.79 setadjoin @ 24.66/3.79 Y1 @ Y2))))))))))))) => 24.66/3.79 (( 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y0 : $i]: 24.66/3.79 (( 24.66/3.79 (!!) @ ( 24.66/3.79 ^[Y1 : $i]: 24.66/3.79 (( 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: $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) <=> 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) = 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (powerset @ 24.66/3.80 Y0) = 24.66/3.80 (powerset @ 24.66/3.80 Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (setunion @ 24.66/3.80 Y0) = 24.66/3.80 (setunion @ 24.66/3.80 Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (Y1 @ Y3))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) => 24.66/3.80 (( 24.66/3.80 (descr @ 24.66/3.80 Y0) = 24.66/3.80 (descr @ 24.66/3.80 Y1))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y4 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y4 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y5 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y5 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y4) = 24.66/3.80 (Y5))) => 24.66/3.80 (( 24.66/3.80 (Y2 @ 24.66/3.80 Y4) <=> 24.66/3.80 (Y3 @ Y5))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) = 24.66/3.80 (dsetconstr @ 24.66/3.80 Y1 @ Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (subset @ 24.66/3.80 Y1 @ Y0))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (subset @ 24.66/3.80 emptyset @ 24.66/3.80 Y0)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y0)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 subset @ 24.66/3.80 Y0 @ Y1)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 subset @ 24.66/3.80 Y0 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (Y0) != 24.66/3.80 (Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (Y0) != 24.66/3.80 (Y1)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y0)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y2) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y2)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 setadjoin @ 24.66/3.80 Y1 @ Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y1)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 emptyset) => 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (emptyset)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0)) => 24.66/3.80 (subset @ 24.66/3.80 Y1 @ Y0))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (in @ 24.66/3.80 Y0 @ 24.66/3.80 (powerset @ 24.66/3.80 Y0))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (subset @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0) @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y1)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (in @ 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 (powerset @ 24.66/3.80 Y0)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (subset @ 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 Y0))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ 24.66/3.80 emptyset))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $o]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (Y3))) => 24.66/3.80 (Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) | 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y0)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 (binunion @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 (binunion @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binintersect @ 24.66/3.80 Y0 @ Y1))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (subset @ 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24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $o]: 24.66/3.80 (( 24.66/3.80 (Y0) => 24.66/3.80 (in @ 24.66/3.80 emptyset @ 24.66/3.80 ( 24.66/3.80 prop2set @ 24.66/3.80 Y0))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $o]: 24.66/3.80 (((Y0) => 24.66/3.80 (set2prop @ 24.66/3.80 (prop2set @ 24.66/3.80 Y0))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (Y0 @ Y1)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))))) => 24.66/3.80 (((( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y3 @ Y1))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) <=> 24.66/3.80 (in @ 24.66/3.80 Y3 @ Y1))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (Y1 @ Y3))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) <=> 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) = 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (powerset @ 24.66/3.80 Y0) = 24.66/3.80 (powerset @ 24.66/3.80 Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (setunion @ 24.66/3.80 Y0) = 24.66/3.80 (setunion @ 24.66/3.80 Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (Y1 @ Y3))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) => 24.66/3.80 (( 24.66/3.80 (descr @ 24.66/3.80 Y0) = 24.66/3.80 (descr @ 24.66/3.80 Y1))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y4 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y4 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y5 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y5 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y4) = 24.66/3.80 (Y5))) => 24.66/3.80 (( 24.66/3.80 (Y2 @ 24.66/3.80 Y4) <=> 24.66/3.80 (Y3 @ Y5))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) = 24.66/3.80 (dsetconstr @ 24.66/3.80 Y1 @ Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (subset @ 24.66/3.80 Y1 @ Y0))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (subset @ 24.66/3.80 emptyset @ 24.66/3.80 Y0)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y0)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 subset @ 24.66/3.80 Y0 @ Y1)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 subset @ 24.66/3.80 Y0 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (Y0) != 24.66/3.80 (Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (Y0) != 24.66/3.80 (Y1)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y0)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y2) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y2)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 setadjoin @ 24.66/3.80 Y1 @ Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y1)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 emptyset) => 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (emptyset)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0)) => 24.66/3.80 (subset @ 24.66/3.80 Y1 @ Y0))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (in @ 24.66/3.80 Y0 @ 24.66/3.80 (powerset @ 24.66/3.80 Y0))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (subset @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0) @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y1)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (in @ 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 (powerset @ 24.66/3.80 Y0)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (subset @ 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 Y0))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ 24.66/3.80 emptyset))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $o]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (Y3))) => 24.66/3.80 (Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) | 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y0)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 (binunion @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 (binunion @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binintersect @ 24.66/3.80 Y0 @ Y1))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (subset @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binintersect @ 24.66/3.80 Y0 @ Y1))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binintersect @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y0)))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 Y0))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) = 24.66/3.80 (Y0))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) = 24.66/3.80 (Y1))) => 24.66/3.80 (subset @ 24.66/3.80 Y1 @ Y0))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binintersect @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) = 24.66/3.80 (emptyset))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 Y1))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) = 24.66/3.80 (Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) = 24.66/3.80 (Y0))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (binintersect @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y1 @ Y2)) = 24.66/3.80 (binunion @ 24.66/3.80 ( 24.66/3.80 binintersect @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 ( 24.66/3.80 binintersect @ 24.66/3.80 Y0 @ Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 setminus @ 24.66/3.80 Y0 @ Y1))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 setminus @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y0)))))))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 setminus @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl294])). 24.66/3.80 thf(zip_derived_cl303, plain, 24.66/3.80 (~ (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = (Y0)))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((((!!) @ (^[Y2 : $i]: 24.66/3.80 (((in @ Y2 @ Y1) => (in @ 24.66/3.80 Y2 @ Y0)))))) => 24.66/3.80 (in @ Y1 @ (powerset @ Y0)))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((!!) @ (^[Y2 : $i]: 24.66/3.80 (((in @ Y1 @ 24.66/3.80 (powerset @ Y0)) => 24.66/3.80 (((in @ Y2 @ Y1) => 24.66/3.80 (in @ Y2 @ Y0)))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((!!) @ (^[Y2 : $i]: 24.66/3.80 (((in @ Y1 @ Y2) => 24.66/3.80 (((in @ Y2 @ Y0) => 24.66/3.80 (in @ Y1 @ 24.66/3.80 (setunion @ Y0))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((in @ Y1 @ (setunion @ Y0)) => 24.66/3.80 (((!!) @ (^[Y2 : $o]: 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (((in @ 24.66/3.80 Y1 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y3 @ 24.66/3.80 Y0) => 24.66/3.80 (Y2)))))))) => 24.66/3.80 (Y2)))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((in @ Y1 @ Y0) => (in @ 24.66/3.80 Y1 @ 24.66/3.80 (powerset @ (setunion @ Y0))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.80 (((((??) @ (^[Y1 : $i]: 24.66/3.80 (((Y0 @ Y1) & 24.66/3.80 (((!!) @ (^[Y2 : $i]: 24.66/3.80 (((Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (((??) @ (^[Y1 : $i]: 24.66/3.80 (((!!) @ (^[Y2 : $i]: 24.66/3.80 (((Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (((Y2) = 24.66/3.80 (Y1)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((((Y0) != (emptyset))) => 24.66/3.80 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((in @ Y0 @ 24.66/3.80 (setadjoin @ Y1 @ 24.66/3.80 emptyset)) => 24.66/3.80 (((Y0) = (Y1))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((((Y0) != (Y1))) => 24.66/3.80 (((~) @ (in @ Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 emptyset)))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((((Y0) = (Y1))) => 24.66/3.80 (in @ Y0 @ 24.66/3.80 (setadjoin @ Y1 @ 24.66/3.80 emptyset)))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((in @ Y0 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ emptyset)) => 24.66/3.80 (in @ Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ emptyset)))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (((in @ 24.66/3.80 Y2 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 setadjoin @ 24.66/3.80 Y1 @ 24.66/3.80 emptyset))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y1))) | 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y0)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (in @ Y0 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ 24.66/3.80 emptyset))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (in @ Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ 24.66/3.80 emptyset))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))) => 24.66/3.80 (( 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) != 24.66/3.80 (emptyset))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.80 (((!!) @ (^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 emptyset) => 24.66/3.80 (Y0 @ Y1))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (((((~) @ ( 24.66/3.80 ((!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (((??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (((( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ((??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : 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(in @ 24.66/3.80 emptyset @ 24.66/3.80 ( 24.66/3.80 prop2set @ 24.66/3.80 Y0))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $o]: 24.66/3.80 (( 24.66/3.80 (Y0) => 24.66/3.80 (set2prop @ 24.66/3.80 ( 24.66/3.80 prop2set @ 24.66/3.80 Y0))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (Y0 @ Y1)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 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24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) <=> 24.66/3.80 (in @ 24.66/3.80 Y3 @ Y1))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (Y1 @ Y3))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) <=> 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) = 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (powerset @ 24.66/3.80 Y0) = 24.66/3.80 (powerset @ 24.66/3.80 Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (setunion @ 24.66/3.80 Y0) = 24.66/3.80 (setunion @ 24.66/3.80 Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (Y1 @ Y3))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y2) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (Y1 @ 24.66/3.80 Y3) => 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))))))))))))) => 24.66/3.80 (( 24.66/3.80 (descr @ 24.66/3.80 Y0) = 24.66/3.80 (descr @ 24.66/3.80 Y1))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y4 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y4 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y5 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y5 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y4) = 24.66/3.80 (Y5))) => 24.66/3.80 (( 24.66/3.80 (Y2 @ 24.66/3.80 Y4) <=> 24.66/3.80 (Y3 @ Y5))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) = 24.66/3.80 (dsetconstr @ 24.66/3.80 Y1 @ Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (subset @ 24.66/3.80 Y1 @ Y0))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y1))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (subset @ 24.66/3.80 emptyset @ 24.66/3.80 Y0)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y1)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y0)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 subset @ 24.66/3.80 Y0 @ Y1)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 subset @ 24.66/3.80 Y0 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (Y0) != 24.66/3.80 (Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 in @ 24.66/3.80 Y2 @ Y1))) => 24.66/3.80 (( 24.66/3.80 (Y0) != 24.66/3.80 (Y1)))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y0)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y2) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ Y2)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 setadjoin @ 24.66/3.80 Y1 @ Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y0 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y1)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 emptyset) => 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (emptyset)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0)) => 24.66/3.80 (subset @ 24.66/3.80 Y1 @ Y0))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (in @ 24.66/3.80 Y0 @ 24.66/3.80 (powerset @ 24.66/3.80 Y0))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (subset @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y0) @ 24.66/3.80 ( 24.66/3.80 powerset @ 24.66/3.80 Y1)))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (in @ 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 (powerset @ 24.66/3.80 Y0)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (subset @ 24.66/3.80 (dsetconstr @ 24.66/3.80 Y0 @ Y1) @ 24.66/3.80 Y0))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (in @ 24.66/3.80 Y1 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y0 @ 24.66/3.80 (setadjoin @ 24.66/3.80 Y1 @ 24.66/3.80 emptyset))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $o]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) => 24.66/3.80 (Y3))) => 24.66/3.80 (Y3))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 ( 24.66/3.80 binunion @ 24.66/3.80 Y0 @ Y1)) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y1) | 24.66/3.80 (in @ 24.66/3.80 Y2 @ Y0)))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y0 @ 24.66/3.80 (binunion @ 24.66/3.80 Y0 @ Y1)))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (subset @ 24.66/3.80 Y1 @ 24.66/3.80 (binunion @ 24.66/3.80 Y0 @ 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(((((!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))) => 24.66/3.80 (((~) @ ( 24.66/3.80 ((??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (((( 24.66/3.80 (~) @ ( 24.66/3.80 ((??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $o]: 24.66/3.80 (((Y0) => 24.66/3.80 (in @ 24.66/3.80 emptyset @ 24.66/3.80 (prop2set @ 24.66/3.80 Y0))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $o]: 24.66/3.80 (( 24.66/3.80 (Y0) => 24.66/3.80 (set2prop @ 24.66/3.80 ( 24.66/3.80 prop2set @ 24.66/3.80 Y0))))))) => 24.66/3.80 (((((!!) @ (^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (((!!) @ ( 24.66/3.80 ^[Y1 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 ( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (Y1 @ Y2)))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) & 24.66/3.80 (( 24.66/3.80 (~) @ ( 24.66/3.80 Y1 @ Y2)))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (((( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (Y0 @ Y1)))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) <=> 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y1))))))))))) => 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (((((!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) => 24.66/3.80 (in @ 24.66/3.80 Y3 @ Y1))))))))))))))))))) => 24.66/3.80 (((( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y0) = 24.66/3.80 (Y1))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y3 : $i]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (Y2) = 24.66/3.80 (Y3))) => 24.66/3.80 (( 24.66/3.80 (in @ 24.66/3.80 Y2 @ 24.66/3.80 Y0) <=> 24.66/3.80 (in @ 24.66/3.80 Y3 @ Y1))))))))))))))))))) => 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y0 : $i > $o]: 24.66/3.80 (( 24.66/3.80 (( 24.66/3.80 (??) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) & 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2))))))))))))) => 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y1 : $i]: 24.66/3.80 (( 24.66/3.80 (!!) @ ( 24.66/3.80 ^[Y2 : $i]: 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y1) => 24.66/3.80 (( 24.66/3.80 (Y0 @ 24.66/3.80 Y2) => 24.66/3.80 (( 24.66/3.80 (Y1) = 24.66/3.80 (Y2)))))))))))))))))) => 24.66/3.80 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (Y1 @ Y3))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) <=> 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (setadjoin @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (powerset @ 24.66/3.81 Y0) = 24.66/3.81 (powerset @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (setunion @ 24.66/3.81 Y0) = 24.66/3.81 (setunion @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (Y1 @ Y3))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (descr @ 24.66/3.81 Y0) = 24.66/3.81 (descr @ 24.66/3.81 Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y4 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y4 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y5 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y5 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y4) = 24.66/3.81 (Y5))) => 24.66/3.81 (( 24.66/3.81 (Y2 @ 24.66/3.81 Y4) <=> 24.66/3.81 (Y3 @ Y5))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (dsetconstr @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 emptyset @ 24.66/3.81 Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y0)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y2)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 setadjoin @ 24.66/3.81 Y1 @ Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y1)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 emptyset) => 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (emptyset)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0)) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (in @ 24.66/3.81 Y0 @ 24.66/3.81 (powerset @ 24.66/3.81 Y0))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (subset @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0) @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y1)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (in @ 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 (powerset @ 24.66/3.81 Y0)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (subset @ 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 Y0))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y1 @ 24.66/3.81 emptyset))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $o]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (Y3))) => 24.66/3.81 (Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) | 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y0)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 (binunion @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 (binunion @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y0)))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 Y0))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (Y0))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (emptyset))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 Y1))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (Y0))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y1 @ Y2)) = 24.66/3.81 (binunion @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 setminus @ 24.66/3.81 Y0 @ Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 setminus @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y0)))))))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 setminus @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl303])). 24.66/3.81 thf(zip_derived_cl313, plain, 24.66/3.81 (~ (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 24.66/3.81 (((((!!) @ 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24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) <=> 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (setadjoin @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (powerset @ 24.66/3.81 Y0) = 24.66/3.81 (powerset @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (setunion @ 24.66/3.81 Y0) = 24.66/3.81 (setunion @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (Y1 @ Y3))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (descr @ 24.66/3.81 Y0) = 24.66/3.81 (descr @ 24.66/3.81 Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y4 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y4 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y5 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y5 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y4) = 24.66/3.81 (Y5))) => 24.66/3.81 (( 24.66/3.81 (Y2 @ 24.66/3.81 Y4) <=> 24.66/3.81 (Y3 @ Y5))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (dsetconstr @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 emptyset @ 24.66/3.81 Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y0)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y2)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 setadjoin @ 24.66/3.81 Y1 @ Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y1)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 emptyset) => 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (emptyset)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0)) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (in @ 24.66/3.81 Y0 @ 24.66/3.81 (powerset @ 24.66/3.81 Y0))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (subset @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0) @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y1)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (in @ 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 (powerset @ 24.66/3.81 Y0)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (subset @ 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 Y0))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y1 @ 24.66/3.81 emptyset))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $o]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (Y3))) => 24.66/3.81 (Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) | 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y0)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 (binunion @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 (binunion @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 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((!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $o]: 24.66/3.81 (((Y0) => (in @ 24.66/3.81 emptyset @ 24.66/3.81 (prop2set @ Y0))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $o]: 24.66/3.81 (((Y0) => 24.66/3.81 (set2prop @ 24.66/3.81 (prop2set @ 24.66/3.81 Y0))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (Y1 @ Y2)))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y1 @ Y2)))))))) => 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (Y0 @ Y1)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (((((??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (((??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (((!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y3 @ Y1))))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) <=> 24.66/3.81 (in @ 24.66/3.81 Y3 @ Y1))))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (((( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (Y1 @ Y3))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) <=> 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (setadjoin @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (powerset @ 24.66/3.81 Y0) = 24.66/3.81 (powerset @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (setunion @ 24.66/3.81 Y0) = 24.66/3.81 (setunion @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (Y1 @ Y3))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (descr @ 24.66/3.81 Y0) = 24.66/3.81 (descr @ 24.66/3.81 Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y4 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y4 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y5 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y5 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y4) = 24.66/3.81 (Y5))) => 24.66/3.81 (( 24.66/3.81 (Y2 @ 24.66/3.81 Y4) <=> 24.66/3.81 (Y3 @ Y5))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (dsetconstr @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 emptyset @ 24.66/3.81 Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y0)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y2)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 setadjoin @ 24.66/3.81 Y1 @ Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y1)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 emptyset) => 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(( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y1))) | 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y0)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ (^[Y1 : $i]: 24.66/3.81 (in @ Y0 @ 24.66/3.81 (setadjoin @ Y0 @ 24.66/3.81 (setadjoin @ Y1 @ 24.66/3.81 emptyset))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ (^[Y1 : $i]: 24.66/3.81 (in @ Y1 @ 24.66/3.81 (setadjoin @ Y0 @ 24.66/3.81 (setadjoin @ Y1 @ 24.66/3.81 emptyset))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.81 (((((??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (((in @ 24.66/3.81 Y2 @ Y0) & 24.66/3.81 (Y1 @ Y2)))))) => 24.66/3.81 (((dsetconstr @ 24.66/3.81 Y0 @ Y1) != 24.66/3.81 (emptyset))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.81 (((!!) @ (^[Y1 : $i]: 24.66/3.81 (((in @ Y1 @ 24.66/3.81 emptyset) => 24.66/3.81 (Y0 @ Y1))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.81 (((((~) @ ( 24.66/3.81 ((!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y1 @ Y2)))))))) => 24.66/3.81 (((??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.81 (((( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ((??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (Y1 @ Y2)))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $o]: 24.66/3.81 (((Y0) => (in @ 24.66/3.81 emptyset @ 24.66/3.81 (prop2set @ Y0))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $o]: 24.66/3.81 (((Y0) => 24.66/3.81 (set2prop @ 24.66/3.81 (prop2set @ Y0))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (Y1 @ Y2)))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i]: 24.66/3.81 (((!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y1 @ Y2)))))))) => 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 Y1 @ Y2)))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (Y0 @ Y1)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))))) => 24.66/3.81 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (((!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y3 @ Y1))))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (((!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) <=> 24.66/3.81 (in @ 24.66/3.81 Y3 @ Y1))))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (((((!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (Y1 @ Y3))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) <=> 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))))))))))))) => 24.66/3.81 (((( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (setadjoin @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (powerset @ 24.66/3.81 Y0) = 24.66/3.81 (powerset @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (setunion @ 24.66/3.81 Y0) = 24.66/3.81 (setunion @ 24.66/3.81 Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (( 24.66/3.81 (Y1) = 24.66/3.81 (Y2)))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) <=> 24.66/3.81 (Y1 @ Y3))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y0 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y2) & 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i]: 24.66/3.81 (( 24.66/3.81 (Y1 @ 24.66/3.81 Y3) => 24.66/3.81 (( 24.66/3.81 (Y2) = 24.66/3.81 (Y3))))))))))))) => 24.66/3.81 (( 24.66/3.81 (descr @ 24.66/3.81 Y0) = 24.66/3.81 (descr @ 24.66/3.81 Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $i > $o]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y4 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y4 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y5 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y5 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y4) = 24.66/3.81 (Y5))) => 24.66/3.81 (( 24.66/3.81 (Y2 @ 24.66/3.81 Y4) <=> 24.66/3.81 (Y3 @ Y5))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) = 24.66/3.81 (dsetconstr @ 24.66/3.81 Y1 @ Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y1))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 emptyset @ 24.66/3.81 Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y0)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 subset @ 24.66/3.81 Y0 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 in @ 24.66/3.81 Y2 @ Y1))) => 24.66/3.81 (( 24.66/3.81 (Y0) != 24.66/3.81 (Y1)))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y0)))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ Y2)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y2) => 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 setadjoin @ 24.66/3.81 Y1 @ Y2))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y0 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y1)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 emptyset) => 24.66/3.81 (( 24.66/3.81 (Y0) = 24.66/3.81 (emptyset)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0)) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (in @ 24.66/3.81 Y0 @ 24.66/3.81 (powerset @ 24.66/3.81 Y0))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (subset @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y0) @ 24.66/3.81 ( 24.66/3.81 powerset @ 24.66/3.81 Y1)))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (in @ 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 (powerset @ 24.66/3.81 Y0)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i > $o]: 24.66/3.81 (subset @ 24.66/3.81 (dsetconstr @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 Y0))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (in @ 24.66/3.81 Y1 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y0 @ 24.66/3.81 (setadjoin @ 24.66/3.81 Y1 @ 24.66/3.81 emptyset))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y3 : $o]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (Y3))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (Y3))) => 24.66/3.81 (Y3))))))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binunion @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) | 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y0)))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 (binunion @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 (binunion @ 24.66/3.81 Y0 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 Y1) => 24.66/3.81 (subset @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1))))))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y0)))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 Y0))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) => 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (Y0))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (Y1))) => 24.66/3.81 (subset @ 24.66/3.81 Y1 @ Y0))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 ( 24.66/3.81 binintersect @ 24.66/3.81 Y0 @ Y1)) => 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (~) @ ( 24.66/3.81 ( 24.66/3.81 (??) @ ( 24.66/3.81 ^[Y2 : $i]: 24.66/3.81 (( 24.66/3.81 (in @ 24.66/3.81 Y2 @ 24.66/3.81 Y0) & 24.66/3.81 (in @ 24.66/3.81 Y2 @ Y1)))))))) => 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (emptyset))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (subset @ 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ Y1) @ 24.66/3.81 Y1))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y1 : $i]: 24.66/3.81 (( 24.66/3.81 (subset @ 24.66/3.81 Y1 @ 24.66/3.81 Y0) => 24.66/3.81 (( 24.66/3.81 (binintersect @ 24.66/3.81 Y0 @ 24.66/3.81 Y1) = 24.66/3.81 (Y1))))))))))) => 24.66/3.81 (( 24.66/3.81 (( 24.66/3.81 (!!) @ ( 24.66/3.81 ^[Y0 : $i]: 24.66/3.81 (( 24.66/3.81 (!!) @ ( 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24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) <=> 24.66/3.82 (in @ 24.66/3.82 Y3 @ Y1))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (((( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (Y1 @ Y3))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) <=> 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (((( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (powerset @ 24.66/3.82 Y0) = 24.66/3.82 (powerset @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (setunion @ 24.66/3.82 Y0) = 24.66/3.82 (setunion @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (Y1 @ Y3))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) => 24.66/3.82 (( 24.66/3.82 (descr @ 24.66/3.82 Y0) = 24.66/3.82 (descr @ 24.66/3.82 Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y4 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y4 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y5 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y5 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y4) = 24.66/3.82 (Y5))) => 24.66/3.82 (( 24.66/3.82 (Y2 @ 24.66/3.82 Y4) <=> 24.66/3.82 (Y3 @ Y5))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (dsetconstr @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 emptyset @ 24.66/3.82 Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y0)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y2)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 setadjoin @ 24.66/3.82 Y1 @ Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 emptyset) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (emptyset)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 (powerset @ 24.66/3.82 Y0))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (subset @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0) @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (in @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 (powerset @ 24.66/3.82 Y0)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (subset @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y0))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ 24.66/3.82 emptyset))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $o]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (Y3))) => 24.66/3.82 (Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 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(prop2set @ Y0))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (((((~) @ ( 24.66/3.82 ((??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (Y1 @ Y2)))))))) => 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (((( 24.66/3.82 (~) @ ( 24.66/3.82 ((!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y1 @ Y2)))))))) => 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.82 (((((??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (Y0 @ Y1)))) => 24.66/3.82 (((( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.82 (((( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y3 @ Y1))))))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) <=> 24.66/3.82 (in @ 24.66/3.82 Y3 @ Y1))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (((((??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (Y1 @ Y3))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) <=> 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (powerset @ 24.66/3.82 Y0) = 24.66/3.82 (powerset @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (((( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (setunion @ 24.66/3.82 Y0) = 24.66/3.82 (setunion @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (Y1 @ Y3))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) => 24.66/3.82 (( 24.66/3.82 (descr @ 24.66/3.82 Y0) = 24.66/3.82 (descr @ 24.66/3.82 Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y4 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y4 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y5 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y5 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y4) = 24.66/3.82 (Y5))) => 24.66/3.82 (( 24.66/3.82 (Y2 @ 24.66/3.82 Y4) <=> 24.66/3.82 (Y3 @ Y5))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (dsetconstr @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 emptyset @ 24.66/3.82 Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y0)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y2)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 setadjoin @ 24.66/3.82 Y1 @ Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 emptyset) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (emptyset)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 (powerset @ 24.66/3.82 Y0))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (subset @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0) @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (in @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 (powerset @ 24.66/3.82 Y0)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (subset @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y0))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ 24.66/3.82 emptyset))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $o]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (Y3))) => 24.66/3.82 (Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) | 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y0)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 (binunion @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 (binunion @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (subset @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y0)))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y0))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y0))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 ( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (emptyset))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y1))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y0))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y1 @ Y2)) = 24.66/3.82 (binunion @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 setminus @ 24.66/3.82 Y0 @ Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 setminus @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y0)))))))))))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 setminus @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl331])). 24.66/3.82 thf(zip_derived_cl345, plain, 24.66/3.82 (~ (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (((in @ Y1 @ Y0) => (in @ Y1 @ 24.66/3.82 (powerset @ (setunion @ Y0))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.82 (((((??) @ (^[Y1 : $i]: 24.66/3.82 (((Y0 @ Y1) & 24.66/3.82 (((!!) @ (^[Y2 : $i]: 24.66/3.82 (((Y0 @ Y2) => 24.66/3.82 (((Y1) = (Y2))))))))))))) => 24.66/3.82 (((??) @ (^[Y1 : $i]: 24.66/3.82 (((!!) @ (^[Y2 : $i]: 24.66/3.82 (((Y0 @ Y2) <=> 24.66/3.82 (((Y2) = (Y1)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((((Y0) != (emptyset))) => 24.66/3.82 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (((in @ Y0 @ 24.66/3.82 (setadjoin @ Y1 @ emptyset)) => 24.66/3.82 (((Y0) = (Y1))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (((((Y0) != (Y1))) => 24.66/3.82 (((~) @ (in @ Y1 @ 24.66/3.82 (setadjoin @ Y0 @ 24.66/3.82 emptyset)))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (((((Y0) = (Y1))) => (in @ Y0 @ 24.66/3.82 (setadjoin @ Y1 @ emptyset)))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (((in @ Y0 @ 24.66/3.82 (setadjoin @ Y1 @ emptyset)) => 24.66/3.82 (in @ Y1 @ 24.66/3.82 (setadjoin @ Y0 @ emptyset)))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (((!!) @ (^[Y2 : $i]: 24.66/3.82 (((in @ Y2 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ emptyset))) => 24.66/3.82 (((((Y2) = (Y1))) | 24.66/3.82 (((Y2) = (Y0)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (in @ Y0 @ 24.66/3.82 (setadjoin @ Y0 @ 24.66/3.82 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (in @ Y1 @ 24.66/3.82 (setadjoin @ Y0 @ 24.66/3.82 (setadjoin @ Y1 @ 24.66/3.82 emptyset))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.82 (((((??) @ (^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (Y1 @ Y2)))))) => 24.66/3.82 (((dsetconstr @ Y0 @ 24.66/3.82 Y1) != (emptyset))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.82 (((!!) @ (^[Y1 : $i]: 24.66/3.82 (((in @ Y1 @ 24.66/3.82 emptyset) => (Y0 @ 24.66/3.82 Y1))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.82 (((((~) @ (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y1 @ Y2)))))))) => 24.66/3.82 (((??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (((in @ Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (((~) @ ( 24.66/3.82 Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (((in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 Y1 @ Y2)))))))) => 24.66/3.82 (((~) @ ( 24.66/3.82 ((??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (((in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.82 (((((~) @ ( 24.66/3.82 ((??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 ( 24.66/3.82 ( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (Y1 @ Y2)))))))) => 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.82 (((((??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 Y1 @ Y2)))))))) => 24.66/3.82 (((~) @ ( 24.66/3.82 ((!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $o]: 24.66/3.82 (((Y0) => (in @ 24.66/3.82 emptyset @ 24.66/3.82 (prop2set @ Y0))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $o]: 24.66/3.82 (((Y0) => (set2prop @ 24.66/3.82 (prop2set @ Y0))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 ( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (Y1 @ Y2)))))))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (((((~) @ ( 24.66/3.82 ((!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y1 @ Y2)))))))) => 24.66/3.82 (((??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 Y1 @ Y2)))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.82 (((((??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (Y0 @ Y1)))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (((??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.82 (((((??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (((??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y3 @ Y1))))))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) <=> 24.66/3.82 (in @ 24.66/3.82 Y3 @ Y1))))))))))))))))))) => 24.66/3.82 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (Y1 @ Y3))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) <=> 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (powerset @ 24.66/3.82 Y0) = 24.66/3.82 (powerset @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (setunion @ 24.66/3.82 Y0) = 24.66/3.82 (setunion @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (((( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 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24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y5 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y5 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y4) = 24.66/3.82 (Y5))) => 24.66/3.82 (( 24.66/3.82 (Y2 @ 24.66/3.82 Y4) <=> 24.66/3.82 (Y3 @ Y5))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (dsetconstr @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 emptyset @ 24.66/3.82 Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y0)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y2)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 setadjoin @ 24.66/3.82 Y1 @ Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 emptyset) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (emptyset)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 (powerset @ 24.66/3.82 Y0))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (subset @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0) @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (in @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 (powerset @ 24.66/3.82 Y0)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (subset @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y0))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ 24.66/3.82 emptyset))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $o]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (Y3))) => 24.66/3.82 (Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) | 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y0)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 (binunion @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 (binunion @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (subset @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y0)))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y0))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y0))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 ( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) & 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (emptyset))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y1))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) = 24.66/3.82 (Y0))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (binintersect @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y1 @ Y2)) = 24.66/3.82 (binunion @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 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(Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (((!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (powerset @ 24.66/3.82 Y0) = 24.66/3.82 (powerset @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (setunion @ 24.66/3.82 Y0) = 24.66/3.82 (setunion @ 24.66/3.82 Y1))))))))))) => 24.66/3.82 (((((!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (( 24.66/3.82 (Y1) = 24.66/3.82 (Y2)))))))))))))))))) => 24.66/3.82 (((( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) <=> 24.66/3.82 (Y1 @ Y3))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y0 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (??) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y2) & 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i]: 24.66/3.82 (( 24.66/3.82 (Y1 @ 24.66/3.82 Y3) => 24.66/3.82 (( 24.66/3.82 (Y2) = 24.66/3.82 (Y3))))))))))))) => 24.66/3.82 (( 24.66/3.82 (descr @ 24.66/3.82 Y0) = 24.66/3.82 (descr @ 24.66/3.82 Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $i > $o]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y4 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y4 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y5 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y5 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y4) = 24.66/3.82 (Y5))) => 24.66/3.82 (( 24.66/3.82 (Y2 @ 24.66/3.82 Y4) <=> 24.66/3.82 (Y3 @ Y5))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) = 24.66/3.82 (dsetconstr @ 24.66/3.82 Y1 @ Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y1))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 emptyset @ 24.66/3.82 Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y1)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y0)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 subset @ 24.66/3.82 Y0 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (~) @ ( 24.66/3.82 in @ 24.66/3.82 Y2 @ Y1))) => 24.66/3.82 (( 24.66/3.82 (Y0) != 24.66/3.82 (Y1)))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y0)))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ Y2)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y2) => 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 setadjoin @ 24.66/3.82 Y1 @ Y2))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 emptyset) => 24.66/3.82 (( 24.66/3.82 (Y0) = 24.66/3.82 (emptyset)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0)) => 24.66/3.82 (subset @ 24.66/3.82 Y1 @ Y0))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y0 @ 24.66/3.82 (powerset @ 24.66/3.82 Y0))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 Y1) => 24.66/3.82 (subset @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y0) @ 24.66/3.82 ( 24.66/3.82 powerset @ 24.66/3.82 Y1)))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (in @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 (powerset @ 24.66/3.82 Y0)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i > $o]: 24.66/3.82 (subset @ 24.66/3.82 (dsetconstr @ 24.66/3.82 Y0 @ Y1) @ 24.66/3.82 Y0))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (in @ 24.66/3.82 Y1 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y0 @ 24.66/3.82 (setadjoin @ 24.66/3.82 Y1 @ 24.66/3.82 emptyset))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y3 : $o]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (Y3))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (Y3))) => 24.66/3.82 (Y3))))))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binunion @ 24.66/3.82 Y0 @ Y1)) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) | 24.66/3.82 (in @ 24.66/3.82 Y2 @ Y0)))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y0 @ 24.66/3.82 (binunion @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (subset @ 24.66/3.82 Y1 @ 24.66/3.82 (binunion @ 24.66/3.82 Y0 @ Y1)))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.82 (( 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 Y1) => 24.66/3.82 (in @ 24.66/3.82 Y2 @ 24.66/3.82 ( 24.66/3.82 binintersect @ 24.66/3.82 Y0 @ Y1))))))))))))))) => 24.66/3.82 (( 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y0 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y1 : $i]: 24.66/3.82 (( 24.66/3.82 (!!) @ ( 24.66/3.82 ^[Y2 : $i]: 24.66/3.82 (( 24.66/3.82 (subset @ 24.66/3.82 Y2 @ 24.66/3.82 Y0) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) => 24.66/3.83 (subset @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y1))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y0)))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 Y0))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y0))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 ( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (emptyset))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 Y1))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y0))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y1 @ Y2)) = 24.66/3.83 (binunion @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 setminus @ 24.66/3.83 Y0 @ Y1))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 setminus @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y0)))))))))))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 setminus @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl345])). 24.66/3.83 thf(zip_derived_cl362, plain, 24.66/3.83 (~ (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((((Y0) != (emptyset))) => 24.66/3.83 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset)) => 24.66/3.83 (((Y0) = (Y1))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((((Y0) != (Y1))) => 24.66/3.83 (((~) @ (in @ Y1 @ 24.66/3.83 (setadjoin @ Y0 @ emptyset)))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((((Y0) = (Y1))) => (in @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset)))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset)) => 24.66/3.83 (in @ Y1 @ 24.66/3.83 (setadjoin @ Y0 @ emptyset)))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((!!) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 (setadjoin @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ 24.66/3.83 emptyset))) => 24.66/3.83 (((((Y2) = (Y1))) | 24.66/3.83 (((Y2) = (Y0)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (in @ Y0 @ 24.66/3.83 (setadjoin @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (in @ Y1 @ 24.66/3.83 (setadjoin @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 Y0) & (Y1 @ 24.66/3.83 Y2)))))) => 24.66/3.83 (((dsetconstr @ Y0 @ 24.66/3.83 Y1) != (emptyset))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y1 @ emptyset) => 24.66/3.83 (Y0 @ Y1))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((??) @ (^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((!!) @ (^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))) => 24.66/3.83 (((~) @ (((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (((~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))) => 24.66/3.83 (((~) @ ( 24.66/3.83 ((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $o]: 24.66/3.83 (((Y0) => (in @ emptyset @ 24.66/3.83 (prop2set @ Y0))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $o]: 24.66/3.83 (((Y0) => (set2prop @ 24.66/3.83 (prop2set @ Y0))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((( 24.66/3.83 (~) @ ( 24.66/3.83 ((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 ( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (Y0 @ Y1)))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) <=> 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) <=> 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (setadjoin @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (powerset @ 24.66/3.83 Y0) = 24.66/3.83 (powerset @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (setunion @ 24.66/3.83 Y0) = 24.66/3.83 (setunion @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (descr @ 24.66/3.83 Y0) = 24.66/3.83 (descr @ 24.66/3.83 Y1))))))))))))))) => 24.66/3.83 (((( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y4 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y4 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y5 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y5 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y4) = 24.66/3.83 (Y5))) => 24.66/3.83 (( 24.66/3.83 (Y2 @ 24.66/3.83 Y4) <=> 24.66/3.83 (Y3 @ Y5))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (dsetconstr @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 emptyset @ 24.66/3.83 Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y0)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y2)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 setadjoin @ 24.66/3.83 Y1 @ Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 emptyset) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (emptyset)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 (powerset @ 24.66/3.83 Y0))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (subset @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0) @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (in @ 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 (powerset @ 24.66/3.83 Y0)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (subset @ 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 Y0))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y1 @ 24.66/3.83 emptyset))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $o]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) => 24.66/3.83 (Y3))) => 24.66/3.83 (Y3))))))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) | 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y0)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 (binunion @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 (binunion @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 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(( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 Y0))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y0))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 ( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (emptyset))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 Y1))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) = 24.66/3.83 (Y0))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (binintersect @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y1 @ Y2)) = 24.66/3.83 (binunion @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 setminus @ 24.66/3.83 Y0 @ Y1))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 setminus @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y0)))))))))))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 setminus @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl354])). 24.66/3.83 thf(zip_derived_cl370, plain, 24.66/3.83 (~ (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => 24.66/3.83 (((Y0) = (Y1))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((((Y0) != (Y1))) => 24.66/3.83 (((~) @ (in @ Y1 @ 24.66/3.83 (setadjoin @ Y0 @ emptyset)))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((((Y0) = (Y1))) => (in @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset)))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset)) => 24.66/3.83 (in @ Y1 @ 24.66/3.83 (setadjoin @ Y0 @ emptyset)))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((!!) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 (setadjoin @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ 24.66/3.83 emptyset))) => 24.66/3.83 (((((Y2) = (Y1))) | 24.66/3.83 (((Y2) = (Y0)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (in @ Y0 @ 24.66/3.83 (setadjoin @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (in @ Y1 @ 24.66/3.83 (setadjoin @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 Y0) & (Y1 @ 24.66/3.83 Y2)))))) => 24.66/3.83 (((dsetconstr @ Y0 @ Y1) != 24.66/3.83 (emptyset))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y1 @ emptyset) => 24.66/3.83 (Y0 @ Y1))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((??) @ (^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((!!) @ (^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))) => 24.66/3.83 (((~) @ (((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ (((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((!!) @ (^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (((~) @ ( 24.66/3.83 Y1 @ Y2)))))))) => 24.66/3.83 (((~) @ (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $o]: 24.66/3.83 (((Y0) => (in @ emptyset @ 24.66/3.83 (prop2set @ Y0))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $o]: 24.66/3.83 (((Y0) => (set2prop @ 24.66/3.83 (prop2set @ Y0))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ ( 24.66/3.83 ((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((( 24.66/3.83 (~) @ ( 24.66/3.83 ((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y1 : $i]: 24.66/3.83 (Y0 @ Y1)))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((Y0 @ Y1) & 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((Y0 @ Y1) & 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((((Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) <=> 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) <=> 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (setadjoin @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (powerset @ 24.66/3.83 Y0) = 24.66/3.83 (powerset @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (setunion @ 24.66/3.83 Y0) = 24.66/3.83 (setunion @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i > $o]: 24.66/3.83 (((( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (descr @ 24.66/3.83 Y0) = 24.66/3.83 (descr @ 24.66/3.83 Y1))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y4 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y4 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y5 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y5 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y4) = 24.66/3.83 (Y5))) => 24.66/3.83 (( 24.66/3.83 (Y2 @ 24.66/3.83 Y4) <=> 24.66/3.83 (Y3 @ Y5))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (dsetconstr @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (((( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 emptyset @ 24.66/3.83 Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y0)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y2)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 setadjoin @ 24.66/3.83 Y1 @ Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 emptyset) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (emptyset)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 (powerset @ 24.66/3.83 Y0))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (subset @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0) @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (in @ 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 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Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl362])). 24.66/3.83 thf(zip_derived_cl376, plain, 24.66/3.83 (~ (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((((Y0) != (Y1))) => 24.66/3.83 (((~) @ (in @ Y1 @ 24.66/3.83 (setadjoin @ Y0 @ emptyset)))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((((Y0) = (Y1))) => (in @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset)))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y0 @ 24.66/3.83 (setadjoin @ Y1 @ emptyset)) => (in @ 24.66/3.83 Y1 @ (setadjoin @ Y0 @ emptyset)))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((!!) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 (setadjoin @ Y0 @ 24.66/3.83 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24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ ( 24.66/3.83 ((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y1 : $i]: 24.66/3.83 (Y0 @ Y1)))) => 24.66/3.83 (((((!!) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((??) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (((??) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((((Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) <=> 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) <=> 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (setadjoin @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (powerset @ 24.66/3.83 Y0) = 24.66/3.83 (powerset @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (setunion @ 24.66/3.83 Y0) = 24.66/3.83 (setunion @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (descr @ 24.66/3.83 Y0) = 24.66/3.83 (descr @ 24.66/3.83 Y1))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y4 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y4 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y5 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y5 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y4) = 24.66/3.83 (Y5))) => 24.66/3.83 (( 24.66/3.83 (Y2 @ 24.66/3.83 Y4) <=> 24.66/3.83 (Y3 @ Y5))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (dsetconstr @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (((( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 emptyset @ 24.66/3.83 Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y0)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y2)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 setadjoin @ 24.66/3.83 Y1 @ Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 emptyset) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (emptyset)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 (powerset @ 24.66/3.83 Y0))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (subset @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0) @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (in @ 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 (powerset @ 24.66/3.83 Y0)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (subset @ 24.66/3.83 (dsetconstr @ 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Y0 @ Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $o]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) => 24.66/3.83 (Y3))) => 24.66/3.83 (Y3))))))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) | 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y0)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 (binunion @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 (binunion @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binintersect @ 24.66/3.83 Y0 @ Y1))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 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(((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ Y0) & 24.66/3.83 (Y1 @ Y2)))))) => 24.66/3.83 (((dsetconstr @ Y0 @ Y1) != 24.66/3.83 (emptyset))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (((in @ Y1 @ emptyset) => (Y0 @ 24.66/3.83 Y1))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ (((!!) @ (^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((??) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (((~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((!!) @ (^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (((~) @ ( 24.66/3.83 Y1 @ Y2)))))))) => 24.66/3.83 (((~) @ (((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ Y2 @ 24.66/3.83 Y0) & (Y1 @ 24.66/3.83 Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ (((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ Y0) & 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((!!) @ (^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))) => 24.66/3.83 (((~) @ (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $o]: 24.66/3.83 (((Y0) => (in @ emptyset @ 24.66/3.83 (prop2set @ Y0))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $o]: 24.66/3.83 (((Y0) => (set2prop @ 24.66/3.83 (prop2set @ Y0))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ ( 24.66/3.83 ((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (((in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.83 (((((~) @ ( 24.66/3.83 ((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 ( 24.66/3.83 ( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y1 @ Y2)))))))) => 24.66/3.83 (((??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) & 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 Y1 @ Y2)))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y1 : $i]: 24.66/3.83 (Y0 @ Y1)))) => 24.66/3.83 (((((!!) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((??) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (((??) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ (^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) <=> 24.66/3.83 (in @ 24.66/3.83 Y3 @ Y1))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((((??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (((( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) <=> 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (setadjoin @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (powerset @ 24.66/3.83 Y0) = 24.66/3.83 (powerset @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (setunion @ 24.66/3.83 Y0) = 24.66/3.83 (setunion @ 24.66/3.83 Y1))))))))))) => 24.66/3.83 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (( 24.66/3.83 (Y1) = 24.66/3.83 (Y2)))))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i > $o]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) <=> 24.66/3.83 (Y1 @ Y3))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y0 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (??) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y2) & 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i]: 24.66/3.83 (( 24.66/3.83 (Y1 @ 24.66/3.83 Y3) => 24.66/3.83 (( 24.66/3.83 (Y2) = 24.66/3.83 (Y3))))))))))))) => 24.66/3.83 (( 24.66/3.83 (descr @ 24.66/3.83 Y0) = 24.66/3.83 (descr @ 24.66/3.83 Y1))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (((!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $i > $o]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y4 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y4 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y5 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y5 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y4) = 24.66/3.83 (Y5))) => 24.66/3.83 (( 24.66/3.83 (Y2 @ 24.66/3.83 Y4) <=> 24.66/3.83 (Y3 @ Y5))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) = 24.66/3.83 (dsetconstr @ 24.66/3.83 Y1 @ Y3))))))))))))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (((((!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (((( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y1))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 emptyset @ 24.66/3.83 Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y1)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y0)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 subset @ 24.66/3.83 Y0 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (~) @ ( 24.66/3.83 in @ 24.66/3.83 Y2 @ Y1))) => 24.66/3.83 (( 24.66/3.83 (Y0) != 24.66/3.83 (Y1)))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y0)))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ Y2)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y2) => 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 setadjoin @ 24.66/3.83 Y1 @ Y2))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 emptyset) => 24.66/3.83 (( 24.66/3.83 (Y0) = 24.66/3.83 (emptyset)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y1 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0)) => 24.66/3.83 (subset @ 24.66/3.83 Y1 @ Y0))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (in @ 24.66/3.83 Y0 @ 24.66/3.83 (powerset @ 24.66/3.83 Y0))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 Y1) => 24.66/3.83 (subset @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y0) @ 24.66/3.83 ( 24.66/3.83 powerset @ 24.66/3.83 Y1)))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (in @ 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 (powerset @ 24.66/3.83 Y0)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i > $o]: 24.66/3.83 (subset @ 24.66/3.83 (dsetconstr @ 24.66/3.83 Y0 @ Y1) @ 24.66/3.83 Y0))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (in @ 24.66/3.83 Y1 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y0 @ 24.66/3.83 (setadjoin @ 24.66/3.83 Y1 @ 24.66/3.83 emptyset))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) => 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y3 : $o]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y0) => 24.66/3.83 (Y3))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) => 24.66/3.83 (Y3))) => 24.66/3.83 (Y3))))))))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y2 : $i]: 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 ( 24.66/3.83 binunion @ 24.66/3.83 Y0 @ Y1)) => 24.66/3.83 (( 24.66/3.83 (in @ 24.66/3.83 Y2 @ 24.66/3.83 Y1) | 24.66/3.83 (in @ 24.66/3.83 Y2 @ Y0)))))))))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y0 : $i]: 24.66/3.83 (( 24.66/3.83 (!!) @ ( 24.66/3.83 ^[Y1 : $i]: 24.66/3.83 (subset @ 24.66/3.83 Y0 @ 24.66/3.83 (binunion @ 24.66/3.83 Y0 @ Y1)))))))) => 24.66/3.83 (( 24.66/3.83 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 (binunion @ 24.66/3.84 Y0 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y0))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y0))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y1))) => 24.66/3.84 (subset @ 24.66/3.84 Y1 @ Y0))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 ( 24.66/3.84 (??) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) & 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (emptyset))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y1))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y1))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y0))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y1 @ Y2)) = 24.66/3.84 (binunion @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y2))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))) => 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl376])). 24.66/3.84 thf(zip_derived_cl390, plain, 24.66/3.84 (~ (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => 24.66/3.84 (in @ Y1 @ (setadjoin @ Y0 @ emptyset)))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (((!!) @ (^[Y2 : $i]: 24.66/3.84 (((in @ Y2 @ 24.66/3.84 (setadjoin @ Y0 @ 24.66/3.84 (setadjoin @ Y1 @ emptyset))) => 24.66/3.84 (((((Y2) = (Y1))) | 24.66/3.84 (((Y2) = (Y0)))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (in @ Y0 @ 24.66/3.84 (setadjoin @ Y0 @ 24.66/3.84 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.84 (((((!!) @ 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(subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (((((!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (Y1))) => 24.66/3.84 (subset @ 24.66/3.84 Y1 @ Y0))))))))) => 24.66/3.84 (((((!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (Y1))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (((( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (subset @ 24.66/3.84 emptyset @ 24.66/3.84 Y0)))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y0)))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 subset @ 24.66/3.84 Y0 @ Y1)))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 subset @ 24.66/3.84 Y0 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (Y0) != 24.66/3.84 (Y1))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (Y0) != 24.66/3.84 (Y1)))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y0)))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y2) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y2)))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 (setadjoin @ 24.66/3.84 Y0 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y2) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 ( 24.66/3.84 setadjoin @ 24.66/3.84 Y1 @ Y2))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (in @ 24.66/3.84 Y0 @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y1)))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (Y1))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 emptyset) => 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (emptyset)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y1 @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y0)))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y1 @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y0)) => 24.66/3.84 (subset @ 24.66/3.84 Y1 @ Y0))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (in @ 24.66/3.84 Y0 @ 24.66/3.84 (powerset @ 24.66/3.84 Y0))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (subset @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y0) @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y1)))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i > $o]: 24.66/3.84 (in @ 24.66/3.84 (dsetconstr @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 (powerset @ 24.66/3.84 Y0)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i > $o]: 24.66/3.84 (subset @ 24.66/3.84 (dsetconstr @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y0))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (in @ 24.66/3.84 Y1 @ 24.66/3.84 (setadjoin @ 24.66/3.84 Y0 @ 24.66/3.84 (setadjoin @ 24.66/3.84 Y1 @ 24.66/3.84 emptyset))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y3 : $o]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (Y3))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (Y3))) => 24.66/3.84 (Y3))))))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) | 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 (binunion @ 24.66/3.84 Y0 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 (binunion @ 24.66/3.84 Y0 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y0))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y0))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y1))) => 24.66/3.84 (subset @ 24.66/3.84 Y1 @ Y0))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 ( 24.66/3.84 (??) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) & 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (emptyset))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y1))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y1))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y0))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y1 @ Y2)) = 24.66/3.84 (binunion @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y2))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))) => 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ 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24.66/3.84 (in @ 24.66/3.84 Y5 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (Y4) = 24.66/3.84 (Y5))) => 24.66/3.84 (( 24.66/3.84 (Y2 @ 24.66/3.84 Y4) <=> 24.66/3.84 (Y3 @ Y5))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (dsetconstr @ 24.66/3.84 Y0 @ 24.66/3.84 Y2) = 24.66/3.84 (dsetconstr @ 24.66/3.84 Y1 @ Y3))))))))))))))))))) => 24.66/3.84 (((((!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (((((!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (Y1))) => 24.66/3.84 (subset @ 24.66/3.84 Y1 @ Y0))))))))) => 24.66/3.84 (((((!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (Y1))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (((((!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (((( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (subset @ 24.66/3.84 emptyset @ 24.66/3.84 Y0)))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y0)))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 subset @ 24.66/3.84 Y0 @ Y1)))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 subset @ 24.66/3.84 Y0 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (Y0) != 24.66/3.84 (Y1))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (( 24.66/3.84 (Y0) != 24.66/3.84 (Y1)))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y0)))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y2) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y2)))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 (setadjoin @ 24.66/3.84 Y0 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y2) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 ( 24.66/3.84 setadjoin @ 24.66/3.84 Y1 @ Y2))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (in @ 24.66/3.84 Y0 @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y1)))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (Y1))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 emptyset) => 24.66/3.84 (( 24.66/3.84 (Y0) = 24.66/3.84 (emptyset)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y1 @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y0)))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y1 @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y0)) => 24.66/3.84 (subset @ 24.66/3.84 Y1 @ Y0))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (in @ 24.66/3.84 Y0 @ 24.66/3.84 (powerset @ 24.66/3.84 Y0))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (subset @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y0) @ 24.66/3.84 ( 24.66/3.84 powerset @ 24.66/3.84 Y1)))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i > $o]: 24.66/3.84 (in @ 24.66/3.84 (dsetconstr @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 (powerset @ 24.66/3.84 Y0)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i > $o]: 24.66/3.84 (subset @ 24.66/3.84 (dsetconstr @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y0))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (in @ 24.66/3.84 Y1 @ 24.66/3.84 (setadjoin @ 24.66/3.84 Y0 @ 24.66/3.84 (setadjoin @ 24.66/3.84 Y1 @ 24.66/3.84 emptyset))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y3 : $o]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (Y3))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (Y3))) => 24.66/3.84 (Y3))))))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) | 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 (binunion @ 24.66/3.84 Y0 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 (binunion @ 24.66/3.84 Y0 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 Y1) => 24.66/3.84 (subset @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y0))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y0))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y1))) => 24.66/3.84 (subset @ 24.66/3.84 Y1 @ Y0))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 ( 24.66/3.84 (??) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) & 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y1)))))))) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (emptyset))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (subset @ 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 Y1))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (subset @ 24.66/3.84 Y1 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y1))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 Y1) = 24.66/3.84 (Y0))) => 24.66/3.84 (subset @ 24.66/3.84 Y0 @ Y1))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (binintersect @ 24.66/3.84 Y0 @ 24.66/3.84 ( 24.66/3.84 binunion @ 24.66/3.84 Y1 @ Y2)) = 24.66/3.84 (binunion @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y1) @ 24.66/3.84 ( 24.66/3.84 binintersect @ 24.66/3.84 Y0 @ Y2))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1))))))))))))))) => 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (in @ 24.66/3.84 Y2 @ Y0)))))))))))) => 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y0 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 ( 24.66/3.84 setminus @ 24.66/3.84 Y0 @ Y1)) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 in @ 24.66/3.84 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 24.66/3.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl390])). 24.66/3.84 thf(zip_derived_cl408, plain, 24.66/3.84 (~ (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (in @ Y0 @ 24.66/3.84 (setadjoin @ Y0 @ 24.66/3.84 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (in @ Y1 @ 24.66/3.84 (setadjoin @ Y0 @ 24.66/3.84 (setadjoin @ Y1 @ emptyset))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.84 (((((??) @ (^[Y2 : $i]: 24.66/3.84 (((in @ Y2 @ Y0) & (Y1 @ 24.66/3.84 Y2)))))) => 24.66/3.84 (((dsetconstr @ Y0 @ Y1) != (emptyset))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (((in @ Y1 @ emptyset) => (Y0 @ Y1))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.84 (((((~) @ (((!!) @ (^[Y2 : $i]: 24.66/3.84 (((in @ Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (Y1 @ Y2)))))))) => 24.66/3.84 (((??) @ (^[Y2 : $i]: 24.66/3.84 (((in @ Y2 @ Y0) & 24.66/3.84 (((~) @ (Y1 @ Y2)))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.84 (((((!!) @ (^[Y2 : $i]: 24.66/3.84 (((in @ Y2 @ Y0) => 24.66/3.84 (((~) @ (Y1 @ Y2)))))))) => 24.66/3.84 (((~) @ (((??) @ (^[Y2 : $i]: 24.66/3.84 (((in @ 24.66/3.84 Y2 @ Y0) & 24.66/3.84 (Y1 @ Y2)))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.84 (((((~) @ (((??) @ (^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) & 24.66/3.84 (Y1 @ Y2)))))))) => 24.66/3.84 (((!!) @ (^[Y2 : $i]: 24.66/3.84 (((in @ Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (((~) @ ( 24.66/3.84 Y1 @ Y2)))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.84 (((((??) @ (^[Y2 : $i]: 24.66/3.84 (((in @ Y2 @ 24.66/3.84 Y0) & 24.66/3.84 (((~) @ ( 24.66/3.84 Y1 @ Y2)))))))) => 24.66/3.84 (((~) @ (((!!) @ (^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (Y1 @ Y2)))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $o]: 24.66/3.84 (((Y0) => (in @ emptyset @ 24.66/3.84 (prop2set @ Y0))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $o]: 24.66/3.84 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.84 (((((~) @ (((??) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) & 24.66/3.84 (Y1 @ Y2)))))))) => 24.66/3.84 (((!!) @ (^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 Y1 @ Y2)))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i > $o]: 24.66/3.84 (((((~) @ (((!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (Y1 @ Y2)))))))) => 24.66/3.84 (((??) @ (^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) & 24.66/3.84 (( 24.66/3.84 (~) @ ( 24.66/3.84 Y1 @ Y2)))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.84 (((((??) @ (^[Y1 : $i]: 24.66/3.84 (Y0 @ Y1)))) => 24.66/3.84 (((((!!) @ (^[Y1 : $i]: 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (((Y0 @ 24.66/3.84 Y1) => 24.66/3.84 (( 24.66/3.84 (Y0 @ 24.66/3.84 Y2) => 24.66/3.84 (( 24.66/3.84 (Y1) = 24.66/3.84 (Y2))))))))))))) => 24.66/3.84 (((??) @ (^[Y1 : $i]: 24.66/3.84 (((Y0 @ Y1) & 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (Y0 @ 24.66/3.84 Y2) => 24.66/3.84 (( 24.66/3.84 (Y1) = 24.66/3.84 (Y2)))))))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.84 (((((??) @ (^[Y1 : $i]: 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (((Y0 @ 24.66/3.84 Y2) <=> 24.66/3.84 (( 24.66/3.84 (Y2) = 24.66/3.84 (Y1))))))))))) => 24.66/3.84 (((??) @ (^[Y1 : $i]: 24.66/3.84 (((Y0 @ Y1) & 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (Y0 @ 24.66/3.84 Y2) => 24.66/3.84 (( 24.66/3.84 (Y1) = 24.66/3.84 (Y2)))))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (((((Y0) = (Y1))) => 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y3 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (Y2) = 24.66/3.84 (Y3))) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) => 24.66/3.84 (in @ 24.66/3.84 Y3 @ Y1))))))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i]: 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (((((Y0) = 24.66/3.84 (Y1))) => 24.66/3.84 (((!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y3 : $i]: 24.66/3.84 (( 24.66/3.84 (( 24.66/3.84 (Y2) = 24.66/3.84 (Y3))) => 24.66/3.84 (( 24.66/3.84 (in @ 24.66/3.84 Y2 @ 24.66/3.84 Y0) <=> 24.66/3.84 (in @ 24.66/3.84 Y3 @ Y1))))))))))))))))))) => 24.66/3.84 (((((!!) @ (^[Y0 : $i > $o]: 24.66/3.84 (((((??) @ (^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (Y0 @ 24.66/3.84 Y1) & 24.66/3.84 (( 24.66/3.84 (!!) @ ( 24.66/3.84 ^[Y2 : $i]: 24.66/3.84 (( 24.66/3.84 (Y0 @ 24.66/3.84 Y2) => 24.66/3.84 (( 24.66/3.84 (Y1) = 24.66/3.84 (Y2))))))))))))) => 24.66/3.84 (((!!) @ (^[Y1 : $i]: 24.66/3.84 (( 24.66/3.84 (!!) @ ( 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25.05/3.84 (( 25.05/3.84 (Y1 @ 25.05/3.84 Y3) => 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))))))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))) => 25.05/3.84 (( 25.05/3.84 (setadjoin @ 25.05/3.84 Y0 @ 25.05/3.84 Y2) = 25.05/3.84 (setadjoin @ 25.05/3.84 Y1 @ Y3))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (((((Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (((powerset @ 25.05/3.84 Y0) = 25.05/3.84 (powerset @ 25.05/3.84 Y1))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (((( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (( 25.05/3.84 (setunion @ 25.05/3.84 Y0) = 25.05/3.84 (setunion 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25.05/3.84 (??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y3) => 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y1 @ 25.05/3.84 Y2) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (Y1 @ 25.05/3.84 Y3) => 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))))))))))))) => 25.05/3.84 (( 25.05/3.84 (descr @ 25.05/3.84 Y0) = 25.05/3.84 (descr @ 25.05/3.84 Y1))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i > $o]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i > $o]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y4 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y4 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y5 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y5 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y4) = 25.05/3.84 (Y5))) => 25.05/3.84 (( 25.05/3.84 (Y2 @ 25.05/3.84 Y4) <=> 25.05/3.84 (Y3 @ Y5))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (dsetconstr @ 25.05/3.84 Y0 @ 25.05/3.84 Y2) = 25.05/3.84 (dsetconstr @ 25.05/3.84 Y1 @ Y3))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y1))))))))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (subset @ 25.05/3.84 Y1 @ Y0))))))))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y1))))))))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y1))))))))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (subset @ 25.05/3.84 emptyset @ 25.05/3.84 Y0)))) => 25.05/3.84 (((( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y0)))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 subset @ 25.05/3.84 Y0 @ Y1)))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 subset @ 25.05/3.84 Y0 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (Y0) != 25.05/3.84 (Y1))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (Y0) != 25.05/3.84 (Y1)))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y0)))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 Y2) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y2)))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 (setadjoin @ 25.05/3.84 Y0 @ Y1)))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 ( 25.05/3.84 setadjoin @ 25.05/3.84 Y1 @ Y2))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (in @ 25.05/3.84 Y0 @ 25.05/3.84 ( 25.05/3.84 powerset @ 25.05/3.84 Y1)))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 emptyset) => 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (emptyset)))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y1 @ 25.05/3.84 ( 25.05/3.84 powerset @ 25.05/3.84 Y0)))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y1 @ 25.05/3.84 ( 25.05/3.84 powerset @ 25.05/3.84 Y0)) => 25.05/3.84 (subset @ 25.05/3.84 Y1 @ Y0))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (in @ 25.05/3.84 Y0 @ 25.05/3.84 (powerset @ 25.05/3.84 Y0))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (subset @ 25.05/3.84 ( 25.05/3.84 powerset @ 25.05/3.84 Y0) @ 25.05/3.84 ( 25.05/3.84 powerset @ 25.05/3.84 Y1)))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i > $o]: 25.05/3.84 (in @ 25.05/3.84 (dsetconstr @ 25.05/3.84 Y0 @ Y1) @ 25.05/3.84 (powerset @ 25.05/3.84 Y0)))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i > $o]: 25.05/3.84 (subset @ 25.05/3.84 (dsetconstr @ 25.05/3.84 Y0 @ Y1) @ 25.05/3.84 Y0))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binunion @ 25.05/3.84 Y0 @ Y1))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (in @ 25.05/3.84 Y1 @ 25.05/3.84 (setadjoin @ 25.05/3.84 Y0 @ 25.05/3.84 (setadjoin @ 25.05/3.84 Y1 @ 25.05/3.84 emptyset))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y1) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binunion @ 25.05/3.84 Y0 @ Y1))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $o]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binunion @ 25.05/3.84 Y0 @ Y1)) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (Y3))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y1) => 25.05/3.84 (Y3))) => 25.05/3.84 (Y3))))))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binunion @ 25.05/3.84 Y0 @ Y1)) => 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y1) | 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y0)))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 (binunion @ 25.05/3.84 Y0 @ Y1)))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 (binunion @ 25.05/3.84 Y0 @ Y1)))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y1) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binintersect @ 25.05/3.84 Y0 @ Y1))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y2 @ 25.05/3.84 Y1) => 25.05/3.84 (subset @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binintersect @ 25.05/3.84 Y0 @ Y1))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binintersect @ 25.05/3.84 Y0 @ Y1)) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y0)))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (subset @ 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ Y1) @ 25.05/3.84 Y0))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) = 25.05/3.84 (Y0))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) = 25.05/3.84 (Y1))) => 25.05/3.84 (subset @ 25.05/3.84 Y1 @ Y0))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 binintersect @ 25.05/3.84 Y0 @ Y1)) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 ( 25.05/3.84 (??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) & 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))))) => 25.05/3.84 (( 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) = 25.05/3.84 (emptyset))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (subset @ 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ Y1) @ 25.05/3.84 Y1))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) = 25.05/3.84 (Y1))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) = 25.05/3.84 (Y0))) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y1))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (binintersect @ 25.05/3.84 Y0 @ 25.05/3.84 ( 25.05/3.84 binunion @ 25.05/3.84 Y1 @ Y2)) = 25.05/3.84 (binunion @ 25.05/3.84 ( 25.05/3.84 binintersect @ 25.05/3.84 Y0 @ Y1) @ 25.05/3.84 ( 25.05/3.84 binintersect @ 25.05/3.84 Y0 @ Y2))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 setminus @ 25.05/3.84 Y0 @ Y1))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 setminus @ 25.05/3.84 Y0 @ Y1)) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y0)))))))))))) => 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 ( 25.05/3.84 setminus @ 25.05/3.84 Y0 @ Y1)) => 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.05/3.84 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl398])). 25.05/3.84 thf(zip_derived_cl417, plain, 25.05/3.84 (~ (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (in @ Y1 @ 25.05/3.84 (setadjoin @ Y0 @ 25.05/3.84 (setadjoin @ Y1 @ emptyset))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((((??) @ (^[Y2 : $i]: 25.05/3.84 (((in @ Y2 @ Y0) & (Y1 @ Y2)))))) => 25.05/3.84 (((dsetconstr @ Y0 @ Y1) != (emptyset))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (((in @ Y1 @ emptyset) => (Y0 @ Y1))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.84 (((in @ Y2 @ 25.05/3.84 Y0) => (Y1 @ 25.05/3.84 Y2)))))))) => 25.05/3.84 (((??) @ (^[Y2 : $i]: 25.05/3.84 (((in @ Y2 @ Y0) & 25.05/3.84 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((((!!) @ (^[Y2 : $i]: 25.05/3.84 (((in @ Y2 @ Y0) => 25.05/3.84 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.84 (((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.84 (((in @ Y2 @ 25.05/3.84 Y0) & (Y1 @ 25.05/3.84 Y2)))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.84 (((in @ 25.05/3.84 Y2 @ Y0) & 25.05/3.84 (Y1 @ Y2)))))))) => 25.05/3.84 (((!!) @ (^[Y2 : $i]: 25.05/3.84 (((in @ Y2 @ Y0) => 25.05/3.84 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((((??) @ (^[Y2 : $i]: 25.05/3.84 (((in @ Y2 @ Y0) & 25.05/3.84 (((~) @ ( 25.05/3.84 Y1 @ Y2)))))))) => 25.05/3.84 (((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (Y1 @ Y2)))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $o]: 25.05/3.84 (((Y0) => (in @ emptyset @ 25.05/3.84 (prop2set @ Y0))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $o]: 25.05/3.84 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((((~) @ (((??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (((in @ 25.05/3.84 Y2 @ Y0) & 25.05/3.84 (Y1 @ Y2)))))))) => 25.05/3.84 (((!!) @ (^[Y2 : $i]: 25.05/3.84 (((in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 Y1 @ Y2)))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((((~) @ (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (Y1 @ Y2)))))))) => 25.05/3.84 (((??) @ (^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) & 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 Y1 @ Y2)))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.84 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 25.05/3.84 (((((!!) @ (^[Y1 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (((Y0 @ Y1) => 25.05/3.84 (((Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (( 25.05/3.84 (Y1) = 25.05/3.84 (Y2))))))))))))) => 25.05/3.84 (((??) @ (^[Y1 : $i]: 25.05/3.84 (((Y0 @ Y1) & 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (((Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (( 25.05/3.84 (Y1) = 25.05/3.84 (Y2)))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.84 (((((??) @ (^[Y1 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (((Y0 @ 25.05/3.84 Y2) <=> 25.05/3.84 (((Y2) = 25.05/3.84 (Y1))))))))))) => 25.05/3.84 (((??) @ (^[Y1 : $i]: 25.05/3.84 (((Y0 @ Y1) & 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (((Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (( 25.05/3.84 (Y1) = 25.05/3.84 (Y2)))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (((((Y0) = (Y1))) => 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))) => 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y3 @ Y1))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (((((Y0) = (Y1))) => 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))) => 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) <=> 25.05/3.84 (in @ 25.05/3.84 Y3 @ Y1))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.84 (((((??) @ (^[Y1 : $i]: 25.05/3.84 (((Y0 @ 25.05/3.84 Y1) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (( 25.05/3.84 (Y1) = 25.05/3.84 (Y2))))))))))))) => 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (( 25.05/3.84 (Y1) = 25.05/3.84 (Y2)))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.84 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.84 (((( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))) => 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) <=> 25.05/3.84 (Y1 @ Y3))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y3) => 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))))))))))))) <=> 25.05/3.84 (( 25.05/3.84 (??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y1 @ 25.05/3.84 Y2) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (Y1 @ 25.05/3.84 Y3) => 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))))))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))) => 25.05/3.84 (( 25.05/3.84 (setadjoin @ 25.05/3.84 Y0 @ 25.05/3.84 Y2) = 25.05/3.84 (setadjoin @ 25.05/3.84 Y1 @ Y3))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ (^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (( 25.05/3.84 (powerset @ 25.05/3.84 Y0) = 25.05/3.84 (powerset @ 25.05/3.84 Y1))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (((((Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (((setunion @ 25.05/3.84 Y0) = 25.05/3.84 (setunion @ 25.05/3.84 Y1))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.84 (((((??) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y1) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (( 25.05/3.84 (Y1) = 25.05/3.84 (Y2))))))))))))) => 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (( 25.05/3.84 (Y1) = 25.05/3.84 (Y2)))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i > $o]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))) => 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) <=> 25.05/3.84 (Y1 @ Y3))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y2) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (Y0 @ 25.05/3.84 Y3) => 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (??) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (Y1 @ 25.05/3.84 Y2) & 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i]: 25.05/3.84 (( 25.05/3.84 (Y1 @ 25.05/3.84 Y3) => 25.05/3.84 (( 25.05/3.84 (Y2) = 25.05/3.84 (Y3))))))))))))) => 25.05/3.84 (( 25.05/3.84 (descr @ 25.05/3.84 Y0) = 25.05/3.84 (descr @ 25.05/3.84 Y1))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i > $o]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y3 : $i > $o]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y4 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y4 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y5 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y5 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y4) = 25.05/3.84 (Y5))) => 25.05/3.84 (( 25.05/3.84 (Y2 @ 25.05/3.84 Y4) <=> 25.05/3.84 (Y3 @ Y5))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (dsetconstr @ 25.05/3.84 Y0 @ 25.05/3.84 Y2) = 25.05/3.84 (dsetconstr @ 25.05/3.84 Y1 @ Y3))))))))))))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y1))))))))) => 25.05/3.84 (((((!!) @ (^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (subset @ 25.05/3.84 Y1 @ Y0))))))))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y1))))))))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (((!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y1))))))))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (subset @ 25.05/3.84 emptyset @ 25.05/3.84 Y0)))) => 25.05/3.84 (((((!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (in @ 25.05/3.84 Y2 @ Y1)))))))))))))) => 25.05/3.84 (((( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y0)))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 subset @ 25.05/3.84 Y0 @ Y1)))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 subset @ 25.05/3.84 Y0 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (Y0) != 25.05/3.84 (Y1))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (in @ 25.05/3.84 Y2 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (~) @ ( 25.05/3.84 in @ 25.05/3.84 Y2 @ Y1))) => 25.05/3.84 (( 25.05/3.84 (Y0) != 25.05/3.84 (Y1)))))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y0)))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 Y2) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ Y2)))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 (setadjoin @ 25.05/3.84 Y0 @ Y1)))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y2 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y2) => 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 ( 25.05/3.84 setadjoin @ 25.05/3.84 Y1 @ Y2))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (in @ 25.05/3.84 Y0 @ 25.05/3.84 ( 25.05/3.84 powerset @ 25.05/3.84 Y1)))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y0 : $i]: 25.05/3.84 (( 25.05/3.84 (!!) @ ( 25.05/3.84 ^[Y1 : $i]: 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y0 @ 25.05/3.84 Y1) => 25.05/3.84 (( 25.05/3.84 (subset @ 25.05/3.84 Y1 @ 25.05/3.84 Y0) => 25.05/3.84 (( 25.05/3.84 (Y0) = 25.05/3.84 (Y1))))))))))))) => 25.05/3.84 (( 25.05/3.84 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 emptyset) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (emptyset)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 (powerset @ 25.05/3.85 Y0))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0) @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (in @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 (powerset @ 25.05/3.85 Y0)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (subset @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ 25.05/3.85 emptyset))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $o]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (Y3))) => 25.05/3.85 (Y3))))))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) | 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 ( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (emptyset))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y1))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y1 @ Y2)) = 25.05/3.85 (binunion @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.05/3.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl408])). 25.05/3.85 thf(zip_derived_cl426, plain, 25.05/3.85 (~ (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & (Y1 @ Y2)))))) => 25.05/3.85 (((dsetconstr @ Y0 @ Y1) != (emptyset))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((in @ Y1 @ emptyset) => (Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) & (Y1 @ 25.05/3.85 Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) & (Y1 @ 25.05/3.85 Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) & (Y1 @ 25.05/3.85 Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (((~) @ ( 25.05/3.85 Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ 25.05/3.85 Y2 @ Y0) & 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 25.05/3.85 (((((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y2) => 25.05/3.85 (((Y1) = 25.05/3.85 (Y2)))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y2) => 25.05/3.85 (((Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) <=> 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (((( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) <=> 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (powerset @ 25.05/3.85 Y0) = 25.05/3.85 (powerset @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (setunion @ 25.05/3.85 Y0) = 25.05/3.85 (setunion @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y1) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (((( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (descr @ 25.05/3.85 Y0) = 25.05/3.85 (descr @ 25.05/3.85 Y1))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y4 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y4 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y5 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y5 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y4) = 25.05/3.85 (Y5))) => 25.05/3.85 (( 25.05/3.85 (Y2 @ 25.05/3.85 Y4) <=> 25.05/3.85 (Y3 @ Y5))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (dsetconstr @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 emptyset @ 25.05/3.85 Y0)))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y0)))))))))))))))) => 25.05/3.85 (((( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1)))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1)))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y0)))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y2)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 setadjoin @ 25.05/3.85 Y1 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 emptyset) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (emptyset)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 (powerset @ 25.05/3.85 Y0))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0) @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (in @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 (powerset @ 25.05/3.85 Y0)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (subset @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ 25.05/3.85 emptyset))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $o]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (Y3))) => 25.05/3.85 (Y3))))))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) | 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 ( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (emptyset))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y1))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y1 @ Y2)) = 25.05/3.85 (binunion @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.05/3.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl417])). 25.05/3.85 thf(zip_derived_cl433, plain, 25.05/3.85 (~ (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((in @ Y1 @ emptyset) => (Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) & (Y1 @ 25.05/3.85 Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (((~) @ ( 25.05/3.85 Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (((~) @ ( 25.05/3.85 Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 25.05/3.85 (((((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) <=> 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (((((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) <=> 25.05/3.85 (((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (powerset @ 25.05/3.85 Y0) = 25.05/3.85 (powerset @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (setunion @ 25.05/3.85 Y0) = 25.05/3.85 (setunion @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (((( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (descr @ 25.05/3.85 Y0) = 25.05/3.85 (descr @ 25.05/3.85 Y1))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y4 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y4 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y5 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y5 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y4) = 25.05/3.85 (Y5))) => 25.05/3.85 (( 25.05/3.85 (Y2 @ 25.05/3.85 Y4) <=> 25.05/3.85 (Y3 @ Y5))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (dsetconstr @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 emptyset @ Y0)))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y0)))))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1)))))))))))))))) => 25.05/3.85 (((( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1)))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y0)))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y2)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 setadjoin @ 25.05/3.85 Y1 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 emptyset) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (emptyset)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 (powerset @ 25.05/3.85 Y0))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0) @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (in @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 (powerset @ 25.05/3.85 Y0)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (subset @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ 25.05/3.85 emptyset))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $o]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (Y3))) => 25.05/3.85 (Y3))))))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) | 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 ( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (emptyset))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y1))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y1 @ Y2)) = 25.05/3.85 (binunion @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.05/3.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl426])). 25.05/3.85 thf(zip_derived_cl438, plain, 25.05/3.85 (~ (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => (Y1 @ 25.05/3.85 Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (((~) @ ( 25.05/3.85 Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (((~) @ ( 25.05/3.85 Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 25.05/3.85 (((((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) <=> 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y1) => 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (((((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) <=> 25.05/3.85 (((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (((powerset @ 25.05/3.85 Y0) = 25.05/3.85 (powerset @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (setunion @ 25.05/3.85 Y0) = 25.05/3.85 (setunion @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (descr @ 25.05/3.85 Y0) = 25.05/3.85 (descr @ 25.05/3.85 Y1))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((((Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y4 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y4 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y5 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y5 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y4) = 25.05/3.85 (Y5))) => 25.05/3.85 (( 25.05/3.85 (Y2 @ 25.05/3.85 Y4) <=> 25.05/3.85 (Y3 @ Y5))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (dsetconstr @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 emptyset @ 25.05/3.85 Y0)))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y0)))))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1)))))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (((( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1)))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y0)))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y2)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 setadjoin @ 25.05/3.85 Y1 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 emptyset) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (emptyset)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 (powerset @ 25.05/3.85 Y0))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0) @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (in @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 (powerset @ 25.05/3.85 Y0)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (subset @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ 25.05/3.85 emptyset))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $o]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (Y3))) => 25.05/3.85 (Y3))))))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) | 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 ( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (emptyset))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y1))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y1 @ Y2)) = 25.05/3.85 (binunion @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.05/3.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl433])). 25.05/3.85 thf(zip_derived_cl445, plain, 25.05/3.85 (~ (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) => (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ 25.05/3.85 Y2 @ Y0) & 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ ( 25.05/3.85 Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 25.05/3.85 (((((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y1) => 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (((Y2) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) <=> 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y2) => 25.05/3.85 (((Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (((((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) <=> 25.05/3.85 (((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((powerset @ 25.05/3.85 Y0) = 25.05/3.85 (powerset @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (((setunion @ 25.05/3.85 Y0) = 25.05/3.85 (setunion @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (descr @ 25.05/3.85 Y0) = 25.05/3.85 (descr @ 25.05/3.85 Y1))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y4 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y4 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y5 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y5 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y4) = 25.05/3.85 (Y5))) => 25.05/3.85 (( 25.05/3.85 (Y2 @ 25.05/3.85 Y4) <=> 25.05/3.85 (Y3 @ Y5))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (dsetconstr @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 emptyset @ 25.05/3.85 Y0)))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y0)))))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1)))))))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 subset @ 25.05/3.85 Y0 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (((((!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (( 25.05/3.85 (Y0) != 25.05/3.85 (Y1)))))))))))))))) => 25.05/3.85 (((( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y0)))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y2)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 setadjoin @ 25.05/3.85 Y1 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 emptyset) => 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (emptyset)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0)) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y0 @ 25.05/3.85 (powerset @ 25.05/3.85 Y0))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y0) @ 25.05/3.85 ( 25.05/3.85 powerset @ 25.05/3.85 Y1)))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (in @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 (powerset @ 25.05/3.85 Y0)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i > $o]: 25.05/3.85 (subset @ 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (in @ 25.05/3.85 Y1 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ 25.05/3.85 emptyset))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $o]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (Y3))) => 25.05/3.85 (Y3))))))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) | 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 (binunion @ 25.05/3.85 Y0 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 Y1) => 25.05/3.85 (subset @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y0))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 ( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) & 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))))) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (emptyset))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (subset @ 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 Y1))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (subset @ 25.05/3.85 Y1 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y1))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 Y1) = 25.05/3.85 (Y0))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (binintersect @ 25.05/3.85 Y0 @ 25.05/3.85 ( 25.05/3.85 binunion @ 25.05/3.85 Y1 @ Y2)) = 25.05/3.85 (binunion @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y1) @ 25.05/3.85 ( 25.05/3.85 binintersect @ 25.05/3.85 Y0 @ Y2))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y0)))))))))))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y0 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 ( 25.05/3.85 setminus @ 25.05/3.85 Y0 @ Y1)) => 25.05/3.85 (( 25.05/3.85 (~) @ ( 25.05/3.85 in @ 25.05/3.85 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.05/3.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl438])). 25.05/3.85 thf(zip_derived_cl451, plain, 25.05/3.85 (~ (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))) => 25.05/3.85 (((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: 25.05/3.85 (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $o]: (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ 25.05/3.85 Y0) & (Y1 @ 25.05/3.85 Y2)))))))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) => 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((~) @ (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (Y1 @ Y2)))))))) => 25.05/3.85 (((??) @ (^[Y2 : $i]: 25.05/3.85 (((in @ Y2 @ Y0) & 25.05/3.85 (((~) @ (Y1 @ Y2)))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 25.05/3.85 (((((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y1) => 25.05/3.85 (((Y0 @ Y2) => 25.05/3.85 (((Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y2) => 25.05/3.85 (((Y1) = 25.05/3.85 (Y2)))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y2) <=> 25.05/3.85 (((Y2) = (Y1))))))))))) => 25.05/3.85 (((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y2) => 25.05/3.85 (((Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) <=> 25.05/3.85 (in @ 25.05/3.85 Y3 @ Y1))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ Y1) & 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((((!!) @ (^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (((((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y0 @ Y2) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) <=> 25.05/3.85 (((??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((Y1 @ Y2) & 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (setadjoin @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (setadjoin @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((powerset @ 25.05/3.85 Y0) = 25.05/3.85 (powerset @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((((Y0) = (Y1))) => 25.05/3.85 (((setunion @ 25.05/3.85 Y0) = 25.05/3.85 (setunion @ 25.05/3.85 Y1))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((((??) @ (^[Y1 : $i]: 25.05/3.85 (((Y0 @ 25.05/3.85 Y1) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2))))))))))))) => 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) => 25.05/3.85 (( 25.05/3.85 (Y1) = 25.05/3.85 (Y2)))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i > $o]: 25.05/3.85 (((!!) @ (^[Y1 : $i > $o]: 25.05/3.85 (((( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))) => 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) <=> 25.05/3.85 (Y1 @ Y3))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y0 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (??) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y2) & 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i]: 25.05/3.85 (( 25.05/3.85 (Y1 @ 25.05/3.85 Y3) => 25.05/3.85 (( 25.05/3.85 (Y2) = 25.05/3.85 (Y3))))))))))))) => 25.05/3.85 (( 25.05/3.85 (descr @ 25.05/3.85 Y0) = 25.05/3.85 (descr @ 25.05/3.85 Y1))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y3 : $i > $o]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y4 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y4 @ 25.05/3.85 Y0) => 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y5 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y5 @ 25.05/3.85 Y1) => 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (Y4) = 25.05/3.85 (Y5))) => 25.05/3.85 (( 25.05/3.85 (Y2 @ 25.05/3.85 Y4) <=> 25.05/3.85 (Y3 @ Y5))))))))))))))) => 25.05/3.85 (( 25.05/3.85 (dsetconstr @ 25.05/3.85 Y0 @ 25.05/3.85 Y2) = 25.05/3.85 (dsetconstr @ 25.05/3.85 Y1 @ Y3))))))))))))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ (^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((((Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y1 @ Y0))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (((( 25.05/3.85 (Y0) = 25.05/3.85 (Y1))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (((!!) @ ( 25.05/3.85 ^[Y1 : $i]: 25.05/3.85 (( 25.05/3.85 (( 25.05/3.85 (!!) @ ( 25.05/3.85 ^[Y2 : $i]: 25.05/3.85 (( 25.05/3.85 (in @ 25.05/3.85 Y2 @ 25.05/3.85 Y0) => 25.05/3.85 (in @ 25.05/3.85 Y2 @ Y1)))))) => 25.05/3.85 (subset @ 25.05/3.85 Y0 @ Y1))))))))) => 25.05/3.85 (((((!!) @ (^[Y0 : $i]: 25.05/3.85 (subset @ 25.05/3.85 emptyset @ 25.05/3.85 Y0)))) => 25.05/3.86 (((((!!) @ (^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 Y1) => 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y0) => 25.05/3.86 (in @ 25.05/3.86 Y2 @ Y1)))))))))))))) => 25.05/3.86 (((((!!) @ (^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 Y1) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (~) @ ( 25.05/3.86 in @ 25.05/3.86 Y2 @ Y1))) => 25.05/3.86 (( 25.05/3.86 (~) @ ( 25.05/3.86 in @ 25.05/3.86 Y2 @ Y0)))))))))))))))) => 25.05/3.86 (((((!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (((!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y0) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (~) @ ( 25.05/3.86 in @ 25.05/3.86 Y2 @ Y1))) => 25.05/3.86 (( 25.05/3.86 (~) @ ( 25.05/3.86 subset @ 25.05/3.86 Y0 @ Y1)))))))))))))))) => 25.05/3.86 (((((!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (((!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (~) @ ( 25.05/3.86 subset @ 25.05/3.86 Y0 @ Y1))) => 25.05/3.86 (( 25.05/3.86 (Y0) != 25.05/3.86 (Y1))))))))))) => 25.05/3.86 (((((!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y0) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (~) @ ( 25.05/3.86 in @ 25.05/3.86 Y2 @ Y1))) => 25.05/3.86 (( 25.05/3.86 (Y0) != 25.05/3.86 (Y1)))))))))))))))) => 25.05/3.86 (((((!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (subset @ 25.05/3.86 Y0 @ Y0)))) => 25.05/3.86 (((( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 Y1) => 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y1 @ 25.05/3.86 Y2) => 25.05/3.86 (subset @ 25.05/3.86 Y0 @ Y2)))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (subset @ 25.05/3.86 Y1 @ 25.05/3.86 (setadjoin @ 25.05/3.86 Y0 @ Y1)))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 Y2) => 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 ( 25.05/3.86 setadjoin @ 25.05/3.86 Y1 @ Y2))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 Y1) => 25.05/3.86 (in @ 25.05/3.86 Y0 @ 25.05/3.86 ( 25.05/3.86 powerset @ 25.05/3.86 Y1)))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 Y1) => 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y1 @ 25.05/3.86 Y0) => 25.05/3.86 (( 25.05/3.86 (Y0) = 25.05/3.86 (Y1))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 emptyset) => 25.05/3.86 (( 25.05/3.86 (Y0) = 25.05/3.86 (emptyset)))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y1 @ 25.05/3.86 Y0) => 25.05/3.86 (in @ 25.05/3.86 Y1 @ 25.05/3.86 ( 25.05/3.86 powerset @ 25.05/3.86 Y0)))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y1 @ 25.05/3.86 ( 25.05/3.86 powerset @ 25.05/3.86 Y0)) => 25.05/3.86 (subset @ 25.05/3.86 Y1 @ Y0))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (in @ 25.05/3.86 Y0 @ 25.05/3.86 (powerset @ 25.05/3.86 Y0))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 Y1) => 25.05/3.86 (subset @ 25.05/3.86 ( 25.05/3.86 powerset @ 25.05/3.86 Y0) @ 25.05/3.86 ( 25.05/3.86 powerset @ 25.05/3.86 Y1)))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i > $o]: 25.05/3.86 (in @ 25.05/3.86 (dsetconstr @ 25.05/3.86 Y0 @ Y1) @ 25.05/3.86 (powerset @ 25.05/3.86 Y0)))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i > $o]: 25.05/3.86 (subset @ 25.05/3.86 (dsetconstr @ 25.05/3.86 Y0 @ Y1) @ 25.05/3.86 Y0))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y0) => 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 ( 25.05/3.86 binunion @ 25.05/3.86 Y0 @ Y1))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (in @ 25.05/3.86 Y1 @ 25.05/3.86 (setadjoin @ 25.05/3.86 Y0 @ 25.05/3.86 (setadjoin @ 25.05/3.86 Y1 @ 25.05/3.86 emptyset))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y1) => 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 ( 25.05/3.86 binunion @ 25.05/3.86 Y0 @ Y1))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y3 : $o]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 ( 25.05/3.86 binunion @ 25.05/3.86 Y0 @ Y1)) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y0) => 25.05/3.86 (Y3))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y1) => 25.05/3.86 (Y3))) => 25.05/3.86 (Y3))))))))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 ( 25.05/3.86 binunion @ 25.05/3.86 Y0 @ Y1)) => 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y1) | 25.05/3.86 (in @ 25.05/3.86 Y2 @ Y0)))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (subset @ 25.05/3.86 Y0 @ 25.05/3.86 (binunion @ 25.05/3.86 Y0 @ Y1)))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (subset @ 25.05/3.86 Y1 @ 25.05/3.86 (binunion @ 25.05/3.86 Y0 @ Y1)))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y0) => 25.05/3.86 (( 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 Y1) => 25.05/3.86 (in @ 25.05/3.86 Y2 @ 25.05/3.86 ( 25.05/3.86 binintersect @ 25.05/3.86 Y0 @ Y1))))))))))))))) => 25.05/3.86 (( 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y0 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y1 : $i]: 25.05/3.86 (( 25.05/3.86 (!!) @ ( 25.05/3.86 ^[Y2 : $i]: 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y2 @ 25.05/3.86 Y0) => 25.05/3.86 (( 25.05/3.86 (subset @ 25.05/3.86 Y2 @ 25.05/3.86 Y1) => 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=> 25.17/3.86 (((Y0 @ Y2) => 25.17/3.86 (((Y1) = (Y2))))))))))))) => 25.17/3.86 (((??) @ (^[Y1 : $i]: 25.17/3.86 (((Y0 @ Y1) & 25.17/3.86 (((!!) @ (^[Y2 : $i]: 25.17/3.86 (((Y0 @ Y2) => 25.17/3.86 (((Y1) = (Y2)))))))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.86 (((((??) @ (^[Y1 : $i]: 25.17/3.86 (((!!) @ (^[Y2 : $i]: 25.17/3.86 (((Y0 @ Y2) <=> 25.17/3.86 (((Y2) = (Y1))))))))))) => 25.17/3.86 (((??) @ (^[Y1 : $i]: 25.17/3.86 (((Y0 @ Y1) & 25.17/3.86 (((!!) @ (^[Y2 : $i]: 25.17/3.86 (((Y0 @ Y2) => 25.17/3.86 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((((Y0) = (Y1))) => 25.17/3.86 (((!!) @ (^[Y2 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y3 : $i]: 25.17/3.86 (((( 25.17/3.86 (Y2) = 25.17/3.86 (Y3))) => 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y3 @ Y1))))))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 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25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (Y2) = 25.17/3.86 (Y3))) => 25.17/3.86 (( 25.17/3.86 (Y0 @ 25.17/3.86 Y2) <=> 25.17/3.86 (Y1 @ Y3))))))))))) => 25.17/3.86 (((( 25.17/3.86 (??) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (Y0 @ 25.17/3.86 Y2) & 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $i]: 25.17/3.86 (( 25.17/3.86 (Y0 @ 25.17/3.86 Y3) => 25.17/3.86 (( 25.17/3.86 (Y2) = 25.17/3.86 (Y3))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (??) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (Y1 @ 25.17/3.86 Y2) & 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $i]: 25.17/3.86 (( 25.17/3.86 (Y1 @ 25.17/3.86 Y3) => 25.17/3.86 (( 25.17/3.86 (Y2) = 25.17/3.86 (Y3))))))))))))) => 25.17/3.86 (( 25.17/3.86 (descr @ 25.17/3.86 Y0) = 25.17/3.86 (descr @ 25.17/3.86 Y1))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((( 25.17/3.86 (Y0) = 25.17/3.86 (Y1))) => 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i > $o]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $i > $o]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y4 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y4 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y5 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y5 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (Y4) = 25.17/3.86 (Y5))) => 25.17/3.86 (( 25.17/3.86 (Y2 @ 25.17/3.86 Y4) <=> 25.17/3.86 (Y3 @ Y5))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (dsetconstr @ 25.17/3.86 Y0 @ 25.17/3.86 Y2) = 25.17/3.86 (dsetconstr @ 25.17/3.86 Y1 @ Y3))))))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y1))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (Y0) = 25.17/3.86 (Y1))) => 25.17/3.86 (subset @ 25.17/3.86 Y1 @ Y0))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (((((Y0) = 25.17/3.86 (Y1))) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y1))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (((( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y1))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (subset @ 25.17/3.86 emptyset @ Y0)))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y0)))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 subset @ 25.17/3.86 Y0 @ Y1)))))))))))))))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 subset @ 25.17/3.86 Y0 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (Y0) != 25.17/3.86 (Y1))))))))))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (Y0) != 25.17/3.86 (Y1)))))))))))))))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y0)))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 Y2) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y2)))))))))))))) => 25.17/3.86 (((( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 (setadjoin @ 25.17/3.86 Y0 @ Y1)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y2) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 ( 25.17/3.86 setadjoin @ 25.17/3.86 Y1 @ Y2))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (in @ 25.17/3.86 Y0 @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y1)))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (Y0) = 25.17/3.86 (Y1))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 emptyset) => 25.17/3.86 (( 25.17/3.86 (Y0) = 25.17/3.86 (emptyset)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y1 @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y0)))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y1 @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y0)) => 25.17/3.86 (subset @ 25.17/3.86 Y1 @ Y0))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (in @ 25.17/3.86 Y0 @ 25.17/3.86 (powerset @ 25.17/3.86 Y0))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (subset @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y0) @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y1)))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i > $o]: 25.17/3.86 (in @ 25.17/3.86 (dsetconstr @ 25.17/3.86 Y0 @ Y1) @ 25.17/3.86 (powerset @ 25.17/3.86 Y0)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i > $o]: 25.17/3.86 (subset @ 25.17/3.86 (dsetconstr @ 25.17/3.86 Y0 @ Y1) @ 25.17/3.86 Y0))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (in @ 25.17/3.86 Y1 @ 25.17/3.86 (setadjoin @ 25.17/3.86 Y0 @ 25.17/3.86 (setadjoin @ 25.17/3.86 Y1 @ 25.17/3.86 emptyset))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $o]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1)) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (Y3))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (Y3))) => 25.17/3.86 (Y3))))))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1)) => 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) | 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y0)))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 (binunion @ 25.17/3.86 Y0 @ Y1)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 (binunion @ 25.17/3.86 Y0 @ Y1)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binintersect @ 25.17/3.86 Y0 @ Y1))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (subset @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binintersect @ 25.17/3.86 Y0 @ Y1))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binintersect @ 25.17/3.86 Y0 @ Y1)) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y0)))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 (binintersect @ 25.17/3.86 Y0 @ Y1) @ 25.17/3.86 Y0))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (binintersect @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) = 25.17/3.86 (Y0))))))))))) => 25.17/3.86 (( 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(Y1))) => 25.17/3.86 (((powerset @ Y0) = 25.17/3.86 (powerset @ Y1))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((((Y0) = (Y1))) => 25.17/3.86 (((setunion @ Y0) = 25.17/3.86 (setunion @ Y1))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.86 (((((??) @ (^[Y1 : $i]: 25.17/3.86 (((Y0 @ Y1) & 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (((Y0 @ Y2) => 25.17/3.86 (((Y1) = 25.17/3.86 (Y2))))))))))))) => 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((!!) @ (^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (Y0 @ 25.17/3.86 Y2) => 25.17/3.86 (( 25.17/3.86 (Y1) = 25.17/3.86 (Y2)))))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.86 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y3 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (Y2) = 25.17/3.86 (Y3))) => 25.17/3.86 (( 25.17/3.86 (Y0 @ 25.17/3.86 Y2) <=> 25.17/3.86 (Y1 @ Y3))))))))))) => 25.17/3.86 (((((??) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (((Y0 @ 25.17/3.86 Y2) & 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $i]: 25.17/3.86 (( 25.17/3.86 (Y0 @ 25.17/3.86 Y3) => 25.17/3.86 (( 25.17/3.86 (Y2) = 25.17/3.86 (Y3))))))))))))) => 25.17/3.86 (((((??) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (Y1 @ 25.17/3.86 Y2) & 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $i]: 25.17/3.86 (( 25.17/3.86 (Y1 @ 25.17/3.86 Y3) => 25.17/3.86 (( 25.17/3.86 (Y2) = 25.17/3.86 (Y3))))))))))))) => 25.17/3.86 (((descr @ 25.17/3.86 Y0) = 25.17/3.86 (descr @ Y1))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((((Y0) = (Y1))) => 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y2 : $i > $o]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y3 : $i > $o]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y4 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y4 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y5 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y5 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (Y4) = 25.17/3.86 (Y5))) => 25.17/3.86 (( 25.17/3.86 (Y2 @ 25.17/3.86 Y4) <=> 25.17/3.86 (Y3 @ Y5))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (dsetconstr @ 25.17/3.86 Y0 @ 25.17/3.86 Y2) = 25.17/3.86 (dsetconstr @ 25.17/3.86 Y1 @ Y3))))))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y1))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((((Y0) = 25.17/3.86 (Y1))) => 25.17/3.86 (subset @ 25.17/3.86 Y1 @ Y0))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (((( 25.17/3.86 (Y0) = 25.17/3.86 (Y1))) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y1))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ (^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y1))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (subset @ 25.17/3.86 emptyset @ Y0)))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y0)))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 subset @ 25.17/3.86 Y0 @ Y1)))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 subset @ 25.17/3.86 Y0 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (Y0) != 25.17/3.86 (Y1))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 in @ 25.17/3.86 Y2 @ Y1))) => 25.17/3.86 (( 25.17/3.86 (Y0) != 25.17/3.86 (Y1)))))))))))))))) => 25.17/3.86 (((((!!) @ (^[Y0 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y0)))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 Y2) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ Y2)))))))))))))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (((!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 (setadjoin @ 25.17/3.86 Y0 @ Y1)))))))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y2) => 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 ( 25.17/3.86 setadjoin @ 25.17/3.86 Y1 @ Y2))))))))))))) => 25.17/3.86 (((((!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (in @ 25.17/3.86 Y0 @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y1)))))))))) => 25.17/3.86 (((( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (Y0) = 25.17/3.86 (Y1))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 emptyset) => 25.17/3.86 (( 25.17/3.86 (Y0) = 25.17/3.86 (emptyset)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y1 @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y0)))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y1 @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y0)) => 25.17/3.86 (subset @ 25.17/3.86 Y1 @ Y0))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (in @ 25.17/3.86 Y0 @ 25.17/3.86 (powerset @ 25.17/3.86 Y0))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (subset @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y0) @ 25.17/3.86 ( 25.17/3.86 powerset @ 25.17/3.86 Y1)))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i > $o]: 25.17/3.86 (in @ 25.17/3.86 (dsetconstr @ 25.17/3.86 Y0 @ Y1) @ 25.17/3.86 (powerset @ 25.17/3.86 Y0)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i > $o]: 25.17/3.86 (subset @ 25.17/3.86 (dsetconstr @ 25.17/3.86 Y0 @ Y1) @ 25.17/3.86 Y0))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (in @ 25.17/3.86 Y1 @ 25.17/3.86 (setadjoin @ 25.17/3.86 Y0 @ 25.17/3.86 (setadjoin @ 25.17/3.86 Y1 @ 25.17/3.86 emptyset))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y3 : $o]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1)) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (Y3))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (Y3))) => 25.17/3.86 (Y3))))))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binunion @ 25.17/3.86 Y0 @ Y1)) => 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) | 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y0)))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 (binunion @ 25.17/3.86 Y0 @ Y1)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 (binunion @ 25.17/3.86 Y0 @ Y1)))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binintersect @ 25.17/3.86 Y0 @ Y1))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) => 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y2 @ 25.17/3.86 Y1) => 25.17/3.86 (subset @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binintersect @ 25.17/3.86 Y0 @ Y1))))))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binintersect @ 25.17/3.86 Y0 @ Y1)) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y0)))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 (binintersect @ 25.17/3.86 Y0 @ Y1) @ 25.17/3.86 Y0))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) => 25.17/3.86 (( 25.17/3.86 (binintersect @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) = 25.17/3.86 (Y0))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (binintersect @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) = 25.17/3.86 (Y1))) => 25.17/3.86 (subset @ 25.17/3.86 Y1 @ Y0))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 ( 25.17/3.86 binintersect @ 25.17/3.86 Y0 @ Y1)) => 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (~) @ ( 25.17/3.86 ( 25.17/3.86 (??) @ ( 25.17/3.86 ^[Y2 : $i]: 25.17/3.86 (( 25.17/3.86 (in @ 25.17/3.86 Y2 @ 25.17/3.86 Y0) & 25.17/3.86 (in @ 25.17/3.86 Y2 @ Y1)))))))) => 25.17/3.86 (( 25.17/3.86 (binintersect @ 25.17/3.86 Y0 @ 25.17/3.86 Y1) = 25.17/3.86 (emptyset))))))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (subset @ 25.17/3.86 (binintersect @ 25.17/3.86 Y0 @ Y1) @ 25.17/3.86 Y1))))))) => 25.17/3.86 (( 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y0 : $i]: 25.17/3.86 (( 25.17/3.86 (!!) @ ( 25.17/3.86 ^[Y1 : $i]: 25.17/3.86 (( 25.17/3.86 (subset @ 25.17/3.86 Y1 @ 25.17/3.86 Y0) => 25.17/3.86 (( 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=> 25.17/3.87 (((( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 emptyset) => 25.17/3.87 (( 25.17/3.87 (Y0) = 25.17/3.87 (emptyset)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)) => 25.17/3.87 (subset @ 25.17/3.87 Y1 @ Y0))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 (powerset @ 25.17/3.87 Y0))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (subset @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0) @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (in @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 (powerset @ 25.17/3.87 Y0)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (subset @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 Y0))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y0 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y1 @ 25.17/3.87 emptyset))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y3 : $o]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (Y3))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (Y3))) => 25.17/3.87 (Y3))))))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) | 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y0)))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (subset @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y0)))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 Y0))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) = 25.17/3.87 (Y0))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) = 25.17/3.87 (Y1))) => 25.17/3.87 (subset @ 25.17/3.87 Y1 @ Y0))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 ( 25.17/3.87 (??) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) & 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) = 25.17/3.87 (emptyset))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 Y1))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) = 25.17/3.87 (Y1))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) = 25.17/3.87 (Y0))) => 25.17/3.87 (subset @ 25.17/3.87 Y0 @ Y1))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y1 @ Y2)) = 25.17/3.87 (binunion @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y2))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 setminus @ 25.17/3.87 Y0 @ Y1))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 setminus @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y0)))))))))))) => 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 setminus @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.87 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl483])). 25.17/3.87 thf(zip_derived_cl508, plain, 25.17/3.87 (~ (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 25.17/3.87 (((((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y1) => 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2))))))))))))) => 25.17/3.87 (((??) @ (^[Y1 : $i]: 25.17/3.87 (((Y0 @ Y1) & 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2)))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((((??) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) <=> 25.17/3.87 (((Y2) = (Y1))))))))))) => 25.17/3.87 (((??) @ (^[Y1 : $i]: 25.17/3.87 (((Y0 @ Y1) & 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((!!) @ (^[Y3 : $i]: 25.17/3.87 (((((Y2) = 25.17/3.87 (Y3))) => 25.17/3.87 (((in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y3 @ Y1))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((!!) @ (^[Y3 : $i]: 25.17/3.87 (((( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) <=> 25.17/3.87 (in @ 25.17/3.87 Y3 @ Y1))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((((??) @ (^[Y1 : $i]: 25.17/3.87 (((Y0 @ Y1) & 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2))))))))))))) => 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y1) => 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.87 (((((!!) @ (^[Y2 : $i]: 25.17/3.87 (((!!) @ (^[Y3 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))) => 25.17/3.87 (( 25.17/3.87 (Y0 @ 25.17/3.87 Y2) <=> 25.17/3.87 (Y1 @ Y3))))))))))) => 25.17/3.87 (((((??) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) & 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (((Y0 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))) <=> 25.17/3.87 (((??) @ (^[Y2 : $i]: 25.17/3.87 (((Y1 @ Y2) & 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (((Y1 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (((((Y2) = 25.17/3.87 (Y3))) => 25.17/3.87 (((setadjoin @ 25.17/3.87 Y0 @ Y2) = 25.17/3.87 (setadjoin @ 25.17/3.87 Y1 @ Y3))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((powerset @ Y0) = 25.17/3.87 (powerset @ Y1))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((setunion @ Y0) = 25.17/3.87 (setunion @ Y1))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((((??) @ (^[Y1 : $i]: 25.17/3.87 (((Y0 @ Y1) & 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (Y0 @ 25.17/3.87 Y2) => 25.17/3.87 (( 25.17/3.87 (Y1) = 25.17/3.87 (Y2))))))))))))) => 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (Y0 @ 25.17/3.87 Y2) => 25.17/3.87 (( 25.17/3.87 (Y1) = 25.17/3.87 (Y2)))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.87 (((((!!) @ (^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))) => 25.17/3.87 (( 25.17/3.87 (Y0 @ 25.17/3.87 Y2) <=> 25.17/3.87 (Y1 @ Y3))))))))))) => 25.17/3.87 (((((??) @ (^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (Y0 @ 25.17/3.87 Y2) & 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (( 25.17/3.87 (Y0 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))) => 25.17/3.87 (((((??) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (((Y1 @ Y2) & 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (( 25.17/3.87 (Y1 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))) => 25.17/3.87 (((descr @ Y0) = 25.17/3.87 (descr @ Y1))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((!!) @ (^[Y2 : $i > $o]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y3 : $i > $o]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y4 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y4 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y5 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y5 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (Y4) = 25.17/3.87 (Y5))) => 25.17/3.87 (( 25.17/3.87 (Y2 @ 25.17/3.87 Y4) <=> 25.17/3.87 (Y3 @ Y5))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ 25.17/3.87 Y2) = 25.17/3.87 (dsetconstr @ 25.17/3.87 Y1 @ Y3))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (((in @ Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ Y2 @ 25.17/3.87 Y1)))))) => 25.17/3.87 (subset @ Y0 @ Y1))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (subset @ Y1 @ 25.17/3.87 Y0))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (subset @ 25.17/3.87 Y0 @ Y1))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))) => 25.17/3.87 (subset @ 25.17/3.87 Y0 @ Y1))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (subset @ emptyset @ Y0)))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y0)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 subset @ 25.17/3.87 Y0 @ Y1)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (((( 25.17/3.87 (~) @ ( 25.17/3.87 subset @ 25.17/3.87 Y0 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (Y0) != 25.17/3.87 (Y1))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (Y0) != 25.17/3.87 (Y1)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y0 @ Y0)))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y2) => 25.17/3.87 (subset @ 25.17/3.87 Y0 @ Y2)))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y2) => 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 ( 25.17/3.87 setadjoin @ 25.17/3.87 Y1 @ Y2))))))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (Y0) = 25.17/3.87 (Y1))))))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 emptyset) => 25.17/3.87 (( 25.17/3.87 (Y0) = 25.17/3.87 (emptyset)))))))) => 25.17/3.87 (((( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)) => 25.17/3.87 (subset @ 25.17/3.87 Y1 @ Y0))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 (powerset @ 25.17/3.87 Y0))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (subset @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0) @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (in @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 (powerset @ 25.17/3.87 Y0)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (subset @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 Y0))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y0 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y1 @ 25.17/3.87 emptyset))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y3 : $o]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (Y3))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (Y3))) => 25.17/3.87 (Y3))))))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) | 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y0)))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (subset @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 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(( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 setminus @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.87 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl494])). 25.17/3.87 thf(zip_derived_cl518, plain, 25.17/3.87 (~ (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((((??) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) <=> 25.17/3.87 (((Y2) = (Y1))))))))))) => 25.17/3.87 (((??) @ (^[Y1 : $i]: 25.17/3.87 (((Y0 @ Y1) & 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((!!) @ (^[Y2 : $i]: 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25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 (powerset @ 25.17/3.87 Y0))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (subset @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0) @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (in @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 (powerset @ 25.17/3.87 Y0)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (subset @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 Y0))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 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@ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 subset @ 25.17/3.87 Y0 @ Y1)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 subset @ 25.17/3.87 Y0 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (Y0) != 25.17/3.87 (Y1))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (Y0) != 25.17/3.87 (Y1)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (subset @ Y0 @ 25.17/3.87 Y0)))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 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(in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y0 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y1 @ 25.17/3.87 emptyset))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 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(( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (Y0) = 25.17/3.87 (Y1))))))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (((subset @ 25.17/3.87 Y0 @ 25.17/3.87 emptyset) => 25.17/3.87 (((Y0) = 25.17/3.87 (emptyset)))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)) => 25.17/3.87 (subset @ 25.17/3.87 Y1 @ Y0))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 (powerset @ 25.17/3.87 Y0))))) => 25.17/3.87 (((( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (subset @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0) @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (in @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 (powerset @ 25.17/3.87 Y0)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 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25.17/3.87 Y1) | 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y0)))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 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> $o]: 25.17/3.87 (((((??) @ (^[Y1 : $i]: 25.17/3.87 (((Y0 @ Y1) & 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2))))))))))))) => 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y1) => 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.87 (((((!!) @ (^[Y2 : $i]: 25.17/3.87 (((!!) @ (^[Y3 : $i]: 25.17/3.87 (((((Y2) = (Y3))) => 25.17/3.87 (((Y0 @ 25.17/3.87 Y2) <=> 25.17/3.87 (Y1 @ Y3))))))))))) => 25.17/3.87 (((((??) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) & 25.17/3.87 (((!!) @ (^[Y3 : $i]: 25.17/3.87 (((Y0 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))) <=> 25.17/3.87 (((??) @ (^[Y2 : $i]: 25.17/3.87 (((Y1 @ Y2) & 25.17/3.87 (((!!) @ (^[Y3 : $i]: 25.17/3.87 (((Y1 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((!!) @ (^[Y3 : $i]: 25.17/3.87 (((((Y2) = 25.17/3.87 (Y3))) => 25.17/3.87 (((setadjoin @ 25.17/3.87 Y0 @ Y2) = 25.17/3.87 (setadjoin @ 25.17/3.87 Y1 @ Y3))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((powerset @ Y0) = (powerset @ Y1))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((setunion @ Y0) = (setunion @ 25.17/3.87 Y1))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((((??) @ (^[Y1 : $i]: 25.17/3.87 (((Y0 @ Y1) & 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2))))))))))))) => 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y1) => 25.17/3.87 (((Y0 @ Y2) => 25.17/3.87 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.87 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.87 (((((!!) @ (^[Y2 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (((((Y2) = 25.17/3.87 (Y3))) => 25.17/3.87 (((Y0 @ 25.17/3.87 Y2) <=> 25.17/3.87 (Y1 @ Y3))))))))))) => 25.17/3.87 (((((??) @ (^[Y2 : $i]: 25.17/3.87 (((Y0 @ Y2) & 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (( 25.17/3.87 (Y0 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))) => 25.17/3.87 (((((??) @ (^[Y2 : $i]: 25.17/3.87 (((Y1 @ Y2) & 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i]: 25.17/3.87 (( 25.17/3.87 (Y1 @ 25.17/3.87 Y3) => 25.17/3.87 (( 25.17/3.87 (Y2) = 25.17/3.87 (Y3))))))))))))) => 25.17/3.87 (((descr @ Y0) = (descr @ 25.17/3.87 Y1))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (((!!) @ (^[Y2 : $i > $o]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y3 : $i > $o]: 25.17/3.87 (((( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y4 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y4 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y5 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y5 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (Y4) = 25.17/3.87 (Y5))) => 25.17/3.87 (( 25.17/3.87 (Y2 @ 25.17/3.87 Y4) <=> 25.17/3.87 (Y3 @ Y5))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y2) = 25.17/3.87 (dsetconstr @ 25.17/3.87 Y1 @ Y3))))))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((!!) @ (^[Y2 : $i]: 25.17/3.87 (((in @ Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ Y2 @ 25.17/3.87 Y1)))))) => 25.17/3.87 (subset @ Y0 @ Y1))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (subset @ Y1 @ Y0))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((Y0) = (Y1))) => 25.17/3.87 (subset @ Y0 @ Y1))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((((!!) @ (^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))) => 25.17/3.87 (subset @ Y0 @ Y1))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (subset @ emptyset @ Y0)))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (((subset @ 25.17/3.87 Y0 @ Y1) => 25.17/3.87 (((in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (((subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ Y2 @ 25.17/3.87 Y1))) => 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ Y2 @ 25.17/3.87 Y0)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 subset @ 25.17/3.87 Y0 @ Y1)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (((( 25.17/3.87 (~) @ ( 25.17/3.87 subset @ 25.17/3.87 Y0 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (Y0) != 25.17/3.87 (Y1))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ (^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 in @ 25.17/3.87 Y2 @ Y1))) => 25.17/3.87 (( 25.17/3.87 (Y0) != 25.17/3.87 (Y1)))))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (subset @ Y0 @ Y0)))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y2) => 25.17/3.87 (subset @ 25.17/3.87 Y0 @ Y2)))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y2) => 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 ( 25.17/3.87 setadjoin @ 25.17/3.87 Y1 @ Y2))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (Y0) = 25.17/3.87 (Y1))))))))))))) => 25.17/3.87 (((((!!) @ (^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 emptyset) => 25.17/3.87 (( 25.17/3.87 (Y0) = 25.17/3.87 (emptyset)))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (((!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0)) => 25.17/3.87 (subset @ 25.17/3.87 Y1 @ Y0))))))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y0 @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0))))) => 25.17/3.87 (((((!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) => 25.17/3.87 (subset @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y0) @ 25.17/3.87 ( 25.17/3.87 powerset @ 25.17/3.87 Y1)))))))))) => 25.17/3.87 (((( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (in @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 (powerset @ 25.17/3.87 Y0)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i > $o]: 25.17/3.87 (subset @ 25.17/3.87 (dsetconstr @ 25.17/3.87 Y0 @ Y1) @ 25.17/3.87 Y0))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (in @ 25.17/3.87 Y1 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y0 @ 25.17/3.87 (setadjoin @ 25.17/3.87 Y1 @ 25.17/3.87 emptyset))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y3 : $o]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (Y3))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (Y3))) => 25.17/3.87 (Y3))))))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binunion @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) | 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y0)))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y0 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (subset @ 25.17/3.87 Y1 @ 25.17/3.87 (binunion @ 25.17/3.87 Y0 @ Y1)))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y1) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1))))))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (subset @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) => 25.17/3.87 (( 25.17/3.87 (subset @ 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(Y0))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (binintersect @ 25.17/3.87 Y0 @ 25.17/3.87 Y1) = 25.17/3.87 (Y1))) => 25.17/3.87 (subset @ 25.17/3.87 Y1 @ Y0))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 ( 25.17/3.87 binintersect @ 25.17/3.87 Y0 @ Y1)) => 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))))))))) => 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y0 : $i]: 25.17/3.87 (( 25.17/3.87 (!!) @ ( 25.17/3.87 ^[Y1 : $i]: 25.17/3.87 (( 25.17/3.87 (( 25.17/3.87 (~) @ ( 25.17/3.87 ( 25.17/3.87 (??) @ ( 25.17/3.87 ^[Y2 : $i]: 25.17/3.87 (( 25.17/3.87 (in @ 25.17/3.87 Y2 @ 25.17/3.87 Y0) & 25.17/3.87 (in @ 25.17/3.87 Y2 @ Y1)))))))) => 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25.17/3.88 (in @ 25.17/3.88 Y2 @ Y0)))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 (binunion @ 25.17/3.88 Y0 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 (binunion @ 25.17/3.88 Y0 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 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(( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) => 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y0))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y1))) => 25.17/3.88 (subset @ 25.17/3.88 Y1 @ Y0))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y1)))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 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=> 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (Y0) = 25.17/3.88 (Y1))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((subset @ 25.17/3.88 Y0 @ 25.17/3.88 emptyset) => 25.17/3.88 (((Y0) = 25.17/3.88 (emptyset)))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 Y0) => 25.17/3.88 (in @ 25.17/3.88 Y1 @ 25.17/3.88 ( 25.17/3.88 powerset @ 25.17/3.88 Y0)))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y1 @ 25.17/3.88 ( 25.17/3.88 powerset @ 25.17/3.88 Y0)) => 25.17/3.88 (subset @ 25.17/3.88 Y1 @ Y0))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (in @ 25.17/3.88 Y0 @ 25.17/3.88 (powerset @ 25.17/3.88 Y0))))) => 25.17/3.88 (((((!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (((!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 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(( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (in @ 25.17/3.88 Y1 @ 25.17/3.88 (setadjoin @ 25.17/3.88 Y0 @ 25.17/3.88 (setadjoin @ 25.17/3.88 Y1 @ 25.17/3.88 emptyset))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y3 : $o]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (Y3))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (Y3))) => 25.17/3.88 (Y3))))))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) | 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y0)))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 (binunion @ 25.17/3.88 Y0 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 (binunion @ 25.17/3.88 Y0 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (subset @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y0)))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 Y0))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) => 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y0))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y1))) => 25.17/3.88 (subset @ 25.17/3.88 Y1 @ Y0))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y1)))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (~) @ ( 25.17/3.88 ( 25.17/3.88 (??) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) & 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (emptyset))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 Y1))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y1))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y0))) => 25.17/3.88 (subset @ 25.17/3.88 Y0 @ Y1))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y1 @ Y2)) = 25.17/3.88 (binunion @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y2))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (~) @ ( 25.17/3.88 in @ 25.17/3.88 Y2 @ Y1))) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 setminus @ 25.17/3.88 Y0 @ Y1))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 setminus @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y0)))))))))))) => 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 setminus @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (( 25.17/3.88 (~) @ ( 25.17/3.88 in @ 25.17/3.88 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl560])). 25.17/3.88 thf(zip_derived_cl590, plain, 25.17/3.88 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((Y0) = (Y1))) => 25.17/3.88 (((setunion @ Y0) = (setunion @ Y1))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.88 (((((??) @ (^[Y1 : $i]: 25.17/3.88 (((Y0 @ Y1) & 25.17/3.88 (((!!) @ (^[Y2 : $i]: 25.17/3.88 (((Y0 @ Y2) => 25.17/3.88 (((Y1) = (Y2))))))))))))) => 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((!!) @ (^[Y2 : $i]: 25.17/3.88 (((Y0 @ Y1) => 25.17/3.88 (((Y0 @ Y2) => 25.17/3.88 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.88 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.88 (((((!!) @ (^[Y2 : $i]: 25.17/3.88 (((!!) @ (^[Y3 : $i]: 25.17/3.88 (((((Y2) = 25.17/3.88 (Y3))) => 25.17/3.88 (((Y0 @ 25.17/3.88 Y2) <=> 25.17/3.88 (Y1 @ Y3))))))))))) => 25.17/3.88 (((((??) @ (^[Y2 : $i]: 25.17/3.88 (((Y0 @ Y2) & 25.17/3.88 (((!!) @ (^[Y3 : $i]: 25.17/3.88 (( 25.17/3.88 (Y0 @ 25.17/3.88 Y3) => 25.17/3.88 (( 25.17/3.88 (Y2) = 25.17/3.88 (Y3))))))))))))) => 25.17/3.88 (((((??) @ (^[Y2 : $i]: 25.17/3.88 (((Y1 @ Y2) & 25.17/3.88 (((!!) @ (^[Y3 : $i]: 25.17/3.88 (( 25.17/3.88 (Y1 @ 25.17/3.88 Y3) => 25.17/3.88 (( 25.17/3.88 (Y2) = 25.17/3.88 (Y3))))))))))))) => 25.17/3.88 (((descr @ Y0) = (descr @ Y1))))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((Y0) = (Y1))) => 25.17/3.88 (((!!) @ (^[Y2 : $i > $o]: 25.17/3.88 (((!!) @ (^[Y3 : $i > $o]: 25.17/3.88 (((( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y4 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y4 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y5 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y5 @ 25.17/3.88 Y1) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (Y4) = 25.17/3.88 (Y5))) => 25.17/3.88 (( 25.17/3.88 (Y2 @ 25.17/3.88 Y4) <=> 25.17/3.88 (Y3 @ Y5))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (dsetconstr @ 25.17/3.88 Y0 @ Y2) = 25.17/3.88 (dsetconstr @ 25.17/3.88 Y1 @ Y3))))))))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((!!) @ (^[Y2 : $i]: 25.17/3.88 (((in @ Y2 @ Y0) => 25.17/3.88 (in @ Y2 @ Y1)))))) => 25.17/3.88 (subset @ Y0 @ Y1))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((Y0) = (Y1))) => (subset @ 25.17/3.88 Y1 @ Y0))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((Y0) = (Y1))) => (subset @ 25.17/3.88 Y0 @ Y1))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((!!) @ (^[Y2 : $i]: 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25.17/3.88 Y2 @ Y1))) => 25.17/3.88 (( 25.17/3.88 (~) @ ( 25.17/3.88 subset @ 25.17/3.88 Y0 @ Y1)))))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((~) @ (subset @ 25.17/3.88 Y0 @ Y1))) => 25.17/3.88 (((Y0) != (Y1))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (((in @ Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (((( 25.17/3.88 (~) @ ( 25.17/3.88 in @ Y2 @ 25.17/3.88 Y1))) => 25.17/3.88 (( 25.17/3.88 (Y0) != 25.17/3.88 (Y1)))))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) => 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 Y2) => 25.17/3.88 (subset @ 25.17/3.88 Y0 @ Y2)))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ 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(( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y3 : $o]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (Y3))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (Y3))) => 25.17/3.88 (Y3))))))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 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Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl574])). 25.17/3.88 thf(zip_derived_cl604, plain, 25.17/3.88 (~ (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.88 (((((??) @ (^[Y1 : $i]: 25.17/3.88 (((Y0 @ Y1) & 25.17/3.88 (((!!) @ (^[Y2 : $i]: 25.17/3.88 (((Y0 @ Y2) => 25.17/3.88 (((Y1) = (Y2))))))))))))) => 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((!!) @ (^[Y2 : $i]: 25.17/3.88 (((Y0 @ Y1) => 25.17/3.88 (((Y0 @ Y2) => 25.17/3.88 (((Y1) = (Y2)))))))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i > $o]: 25.17/3.88 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.88 (((((!!) @ (^[Y2 : $i]: 25.17/3.88 (((!!) @ (^[Y3 : $i]: 25.17/3.88 (((((Y2) = (Y3))) => 25.17/3.88 (((Y0 @ 25.17/3.88 Y2) <=> 25.17/3.88 (Y1 @ Y3))))))))))) => 25.17/3.88 (((((??) @ (^[Y2 : $i]: 25.17/3.88 (((Y0 @ Y2) & 25.17/3.88 (((!!) @ (^[Y3 : $i]: 25.17/3.88 (((Y0 @ 25.17/3.88 Y3) => 25.17/3.88 (( 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=> 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) => 25.17/3.88 (subset @ 25.17/3.88 ( 25.17/3.88 powerset @ 25.17/3.88 Y0) @ 25.17/3.88 ( 25.17/3.88 powerset @ 25.17/3.88 Y1)))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i > $o]: 25.17/3.88 (in @ 25.17/3.88 (dsetconstr @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 (powerset @ 25.17/3.88 Y0)))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i > $o]: 25.17/3.88 (subset @ 25.17/3.88 (dsetconstr @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 Y0))))))) => 25.17/3.88 (((((!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (((!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1))))))))))))) => 25.17/3.88 (((((!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (((!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (in @ 25.17/3.88 Y1 @ 25.17/3.88 (setadjoin @ 25.17/3.88 Y0 @ 25.17/3.88 (setadjoin @ 25.17/3.88 Y1 @ 25.17/3.88 emptyset))))))))) => 25.17/3.88 (((((!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1))))))))))))) => 25.17/3.88 (((((!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y3 : $o]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (Y3))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (Y3))) => 25.17/3.88 (Y3))))))))))))))))))) => 25.17/3.88 (((( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) | 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y0)))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 (binunion @ 25.17/3.88 Y0 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 (binunion @ 25.17/3.88 Y0 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y2 @ 25.17/3.88 Y1) => 25.17/3.88 (subset @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y0)))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 Y0))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) => 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y0))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y1))) => 25.17/3.88 (subset @ 25.17/3.88 Y1 @ Y0))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y1)))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (~) @ ( 25.17/3.88 ( 25.17/3.88 (??) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) & 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y1)))))))) => 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (emptyset))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (subset @ 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 Y1))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (subset @ 25.17/3.88 Y1 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y1))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 Y1) = 25.17/3.88 (Y0))) => 25.17/3.88 (subset @ 25.17/3.88 Y0 @ Y1))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (binintersect @ 25.17/3.88 Y0 @ 25.17/3.88 ( 25.17/3.88 binunion @ 25.17/3.88 Y1 @ Y2)) = 25.17/3.88 (binunion @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y1) @ 25.17/3.88 ( 25.17/3.88 binintersect @ 25.17/3.88 Y0 @ Y2))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (~) @ ( 25.17/3.88 in @ 25.17/3.88 Y2 @ Y1))) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 setminus @ 25.17/3.88 Y0 @ Y1))))))))))))))) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 setminus @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (in @ 25.17/3.88 Y2 @ Y0)))))))))))) => 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y0 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y1 : $i]: 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y2 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y2 @ 25.17/3.88 ( 25.17/3.88 setminus @ 25.17/3.88 Y0 @ Y1)) => 25.17/3.88 (( 25.17/3.88 (~) @ ( 25.17/3.88 in @ 25.17/3.88 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl604])). 25.17/3.88 thf(zip_derived_cl642, plain, 25.17/3.88 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((Y0) = (Y1))) => 25.17/3.88 (((!!) @ (^[Y2 : $i > $o]: 25.17/3.88 (((!!) @ (^[Y3 : $i > $o]: 25.17/3.88 (((((!!) @ ( 25.17/3.88 ^[Y4 : $i]: 25.17/3.88 (((in @ 25.17/3.88 Y4 @ 25.17/3.88 Y0) => 25.17/3.88 (( 25.17/3.88 (!!) @ ( 25.17/3.88 ^[Y5 : $i]: 25.17/3.88 (( 25.17/3.88 (in @ 25.17/3.88 Y5 @ 25.17/3.88 Y1) => 25.17/3.88 (( 25.17/3.88 (( 25.17/3.88 (Y4) = 25.17/3.88 (Y5))) => 25.17/3.88 (( 25.17/3.88 (Y2 @ 25.17/3.88 Y4) <=> 25.17/3.88 (Y3 @ Y5))))))))))))))) => 25.17/3.88 (((dsetconstr @ 25.17/3.88 Y0 @ Y2) = 25.17/3.88 (dsetconstr @ 25.17/3.88 Y1 @ Y3))))))))))))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((!!) @ (^[Y2 : $i]: 25.17/3.88 (((in @ Y2 @ Y0) => (in @ 25.17/3.88 Y2 @ Y1)))))) => 25.17/3.88 (subset @ Y0 @ Y1))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((Y0) = (Y1))) => (subset @ Y1 @ Y0))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((Y0) = (Y1))) => (subset @ Y0 @ 25.17/3.88 Y1))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((((!!) @ (^[Y2 : $i]: 25.17/3.88 (((in @ Y2 @ Y0) => 25.17/3.88 (in @ Y2 @ Y1)))))) => 25.17/3.88 (subset @ Y0 @ Y1))))))))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 25.17/3.88 (((((!!) @ (^[Y0 : $i]: 25.17/3.88 (((!!) @ (^[Y1 : $i]: 25.17/3.88 (((!!) @ (^[Y2 : $i]: 25.17/3.88 (((subset @ Y0 @ 25.17/3.88 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(in @ 25.17/3.89 (dsetconstr @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 (powerset @ 25.17/3.89 Y0)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i > $o]: 25.17/3.89 (subset @ 25.17/3.89 (dsetconstr @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 Y0))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (in @ 25.17/3.89 Y1 @ 25.17/3.89 ( 25.17/3.89 setadjoin @ 25.17/3.89 Y0 @ 25.17/3.89 ( 25.17/3.89 setadjoin @ 25.17/3.89 Y1 @ 25.17/3.89 emptyset))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y3 : $o]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (Y3))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (Y3))) => 25.17/3.89 (Y3))))))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) | 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y0)))))))))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 Y0 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 Y1 @ 25.17/3.89 (binunion @ 25.17/3.89 Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1))))))))))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (subset @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1))))))))))))))) => 25.17/3.89 (((( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y0)))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 Y0))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) => 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y0))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y1))) => 25.17/3.89 (subset @ 25.17/3.89 Y1 @ Y0))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y1)))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (~) @ ( 25.17/3.89 ( 25.17/3.89 (??) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) & 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y1)))))))) => 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (emptyset))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 Y1))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y1 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y1))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y0))) => 25.17/3.89 (subset @ 25.17/3.89 Y0 @ Y1))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y1 @ Y2)) = 25.17/3.89 (binunion @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y2))))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (~) @ ( 25.17/3.89 in @ 25.17/3.89 Y2 @ Y1))) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 setminus @ 25.17/3.89 Y0 @ Y1))))))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 setminus @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y0)))))))))))) => 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 setminus @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (( 25.17/3.89 (~) @ ( 25.17/3.89 in @ 25.17/3.89 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl696])). 25.17/3.89 thf(zip_derived_cl726, plain, 25.17/3.89 (~ (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((in @ Y2 @ Y0) => (in @ 25.17/3.89 Y2 @ Y1)))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.89 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((in @ Y2 @ Y0) => 25.17/3.89 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.89 (((~) @ (subset @ 25.17/3.89 Y0 @ Y1)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((((~) @ (subset @ Y0 @ Y1))) => 25.17/3.89 (((Y0) != (Y1))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((in @ Y2 @ Y0) => 25.17/3.89 (((((~) @ (in @ 25.17/3.89 Y2 @ Y1))) => 25.17/3.89 (((Y0) != (Y1)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ 25.17/3.89 Y1) => 25.17/3.89 (((subset @ 25.17/3.89 Y1 @ Y2) => 25.17/3.89 (subset @ 25.17/3.89 Y0 @ Y2)))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (subset @ Y1 @ 25.17/3.89 (setadjoin @ Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ 25.17/3.89 Y0 @ Y2) => 25.17/3.89 (subset @ 25.17/3.89 Y0 @ 25.17/3.89 (setadjoin @ 25.17/3.89 Y1 @ Y2))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (in @ Y0 @ 25.17/3.89 (powerset @ Y1)))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y0 @ 25.17/3.89 Y1) => 25.17/3.89 (((subset @ Y1 @ 25.17/3.89 Y0) => 25.17/3.89 (((Y0) = (Y1))))))))))))) => 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25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.89 (subset @ 25.17/3.89 (dsetconstr @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 Y0))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (in @ Y1 @ 25.17/3.89 (setadjoin @ 25.17/3.89 Y0 @ 25.17/3.89 (setadjoin @ 25.17/3.89 Y1 @ 25.17/3.89 emptyset))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1))))))))))))) => 25.17/3.89 (((((!!) @ 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25.17/3.89 Y0 @ 25.17/3.89 (binunion @ 25.17/3.89 Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 Y1 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1))))))))))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (subset @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1))))))))))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y0)))))))))))) => 25.17/3.89 (((( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 Y0))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) => 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y0))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 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25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 Y1))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y1 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y1))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y0))) => 25.17/3.89 (subset @ 25.17/3.89 Y0 @ Y1))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y1 @ Y2)) = 25.17/3.89 (binunion @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 ( 25.17/3.89 binintersect @ 25.17/3.89 Y0 @ Y2))))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (~) @ ( 25.17/3.89 in @ 25.17/3.89 Y2 @ Y1))) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 setminus @ 25.17/3.89 Y0 @ Y1))))))))))))))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 setminus @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y0)))))))))))) => 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 setminus @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (( 25.17/3.89 (~) @ ( 25.17/3.89 in @ 25.17/3.89 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl711])). 25.17/3.89 thf(zip_derived_cl741, plain, 25.17/3.89 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((in @ Y2 @ Y0) => (in @ 25.17/3.89 Y2 @ Y1)))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.89 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((in @ Y2 @ Y0) => 25.17/3.89 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.89 (((~) @ (subset @ Y0 @ 25.17/3.89 Y1)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((((~) @ (subset @ Y0 @ Y1))) => 25.17/3.89 (((Y0) != (Y1))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((in @ Y2 @ Y0) => 25.17/3.89 (((((~) @ (in @ Y2 @ 25.17/3.89 Y1))) => 25.17/3.89 (((Y0) != (Y1)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ 25.17/3.89 Y1) => 25.17/3.89 (((subset @ Y1 @ 25.17/3.89 Y2) => 25.17/3.89 (subset @ Y0 @ 25.17/3.89 Y2)))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (subset @ Y1 @ 25.17/3.89 (setadjoin @ Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ 25.17/3.89 Y0 @ Y2) => 25.17/3.89 (subset @ 25.17/3.89 Y0 @ 25.17/3.89 (setadjoin @ 25.17/3.89 Y1 @ Y2))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (in @ Y0 @ 25.17/3.89 (powerset @ Y1)))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((subset @ Y1 @ 25.17/3.89 Y0) => 25.17/3.89 (((Y0) = (Y1))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((subset @ Y0 @ emptyset) => 25.17/3.89 (((Y0) = (emptyset)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y1 @ 25.17/3.89 Y0) => (in @ Y1 @ 25.17/3.89 (powerset @ Y0)))))))))) 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Y2 @ 25.17/3.89 Y0) => 25.17/3.89 (Y3))) => 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) => 25.17/3.89 (Y3))) => 25.17/3.89 (Y3))))))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 ( 25.17/3.89 binunion @ 25.17/3.89 Y0 @ Y1)) => 25.17/3.89 (( 25.17/3.89 (in @ 25.17/3.89 Y2 @ 25.17/3.89 Y1) | 25.17/3.89 (in @ 25.17/3.89 Y2 @ Y0)))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 Y0 @ 25.17/3.89 (binunion @ 25.17/3.89 Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 Y1 @ 25.17/3.89 (binunion @ 25.17/3.89 Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 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Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl726])). 25.17/3.89 thf(zip_derived_cl756, plain, 25.17/3.89 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.89 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((in @ Y2 @ Y0) => 25.17/3.89 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.89 (((~) @ (subset @ Y0 @ Y1)))))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((((~) @ (subset @ Y0 @ Y1))) => 25.17/3.89 (((Y0) != (Y1))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((in @ Y2 @ Y0) => 25.17/3.89 (((((~) @ (in @ Y2 @ Y1))) => 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(subset @ Y0 @ Y2)))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (subset @ Y1 @ (setadjoin @ Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ 25.17/3.89 Y2) => (subset @ 25.17/3.89 Y0 @ 25.17/3.89 (setadjoin @ Y1 @ Y2))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => (in @ 25.17/3.89 Y0 @ (powerset @ Y1)))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((subset @ Y1 @ Y0) => 25.17/3.89 (((Y0) = (Y1))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((subset @ Y0 @ emptyset) => 25.17/3.89 (((Y0) = (emptyset)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y1 @ Y0) => 25.17/3.89 (in @ Y1 @ 25.17/3.89 (powerset @ Y0)))))))))) => 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25.17/3.89 in @ 25.17/3.89 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl787])). 25.17/3.89 thf(zip_derived_cl806, plain, 25.17/3.89 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => 25.17/3.89 (((subset @ Y1 @ Y2) => 25.17/3.89 (subset @ Y0 @ Y2)))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (subset @ Y1 @ (setadjoin @ Y0 @ Y1)))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((!!) @ (^[Y2 : $i]: 25.17/3.89 (((subset @ Y0 @ Y2) => 25.17/3.89 (subset @ Y0 @ 25.17/3.89 (setadjoin @ Y1 @ Y2))))))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ (^[Y1 : $i]: 25.17/3.89 (((subset @ Y0 @ Y1) => (in @ Y0 @ 25.17/3.89 (powerset @ Y1)))))))))) => 25.17/3.89 (((((!!) @ (^[Y0 : $i]: 25.17/3.89 (((!!) @ 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(emptyset))))))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (((!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (subset @ 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ Y1) @ 25.17/3.89 Y1))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (subset @ 25.17/3.89 Y1 @ 25.17/3.89 Y0) => 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y1))))))))))) => 25.17/3.89 (((((!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 Y1) = 25.17/3.89 (Y0))) => 25.17/3.89 (subset @ 25.17/3.89 Y0 @ Y1))))))))) => 25.17/3.89 (((( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y0 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y1 : $i]: 25.17/3.89 (( 25.17/3.89 (!!) @ ( 25.17/3.89 ^[Y2 : $i]: 25.17/3.89 (( 25.17/3.89 (binintersect @ 25.17/3.89 Y0 @ 25.17/3.89 ( 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( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl822])). 25.17/3.90 thf(zip_derived_cl833, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => 25.17/3.90 (((subset @ Y1 @ Y0) => (((Y0) = (Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((subset @ Y0 @ emptyset) => (((Y0) = (emptyset)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => (in @ Y1 @ 25.17/3.90 (powerset @ Y0)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((in @ Y1 @ (powerset @ Y0)) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => (subset @ 25.17/3.90 (powerset @ Y0) @ 25.17/3.90 (powerset @ Y1)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (in @ (dsetconstr @ Y0 @ Y1) @ 25.17/3.90 (powerset @ Y0)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (subset @ 25.17/3.90 (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ 25.17/3.90 emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y3 : $o]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (Y3))) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (Y3))) => 25.17/3.90 (Y3))))))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) | 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y0 @ 25.17/3.90 (binunion @ Y0 @ 25.17/3.90 Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y0 @ Y1) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ 25.17/3.90 Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 ( 25.17/3.90 (??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl827])). 25.17/3.90 thf(zip_derived_cl840, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((subset @ Y0 @ emptyset) => (((Y0) = (emptyset)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => (in @ Y1 @ 25.17/3.90 (powerset @ Y0)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((in @ Y1 @ (powerset @ Y0)) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => (subset @ 25.17/3.90 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (in @ (dsetconstr @ Y0 @ Y1) @ 25.17/3.90 (powerset @ Y0)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (subset @ 25.17/3.90 (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y3 : $o]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (Y3))) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (Y3))) => 25.17/3.90 (Y3))))))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) | 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y0 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ 25.17/3.90 (binunion @ Y0 @ 25.17/3.90 Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ 25.17/3.90 Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 ( 25.17/3.90 (??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl833])). 25.17/3.90 thf(zip_derived_cl846, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => (in @ Y1 @ 25.17/3.90 (powerset @ Y0)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((in @ Y1 @ (powerset @ Y0)) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => (subset @ 25.17/3.90 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (in @ (dsetconstr @ Y0 @ Y1) @ 25.17/3.90 (powerset @ Y0)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (subset @ 25.17/3.90 (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (binunion @ Y0 @ 25.17/3.90 Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y1) => (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y3 : $o]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (Y3))) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (Y3))) => 25.17/3.90 (Y3))))))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1) | 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y0 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ 25.17/3.90 Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((( 25.17/3.90 (~) @ ( 25.17/3.90 ((??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl840])). 25.17/3.90 thf(zip_derived_cl852, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((in @ Y1 @ (powerset @ Y0)) => (subset @ 25.17/3.90 Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => (subset @ 25.17/3.90 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (in @ (dsetconstr @ Y0 @ Y1) @ 25.17/3.90 (powerset @ Y0)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (subset @ (dsetconstr @ Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (binunion @ Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y1) => (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y3 : $o]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (Y3))) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (Y3))) => 25.17/3.90 (Y3))))))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (((in @ 25.17/3.90 Y2 @ Y1) | 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y0 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y2 @ Y0) => 25.17/3.90 (((subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ 25.17/3.90 Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((((~) @ ( 25.17/3.90 ((??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl846])). 25.17/3.90 thf(zip_derived_cl857, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => (subset @ 25.17/3.90 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (in @ (dsetconstr @ Y0 @ Y1) @ 25.17/3.90 (powerset @ Y0)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (subset @ (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (binunion @ Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y1) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (binunion @ Y0 @ 25.17/3.90 Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y3 : $o]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (((( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (Y3))) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (Y3))) => 25.17/3.90 (Y3))))))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y1) | (in @ 25.17/3.90 Y2 @ Y0)))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y0 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y0 @ Y1) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ 25.17/3.90 Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 ( 25.17/3.90 (??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 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25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ 25.17/3.90 Y1) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ 25.17/3.90 Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((( 25.17/3.90 (~) @ 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25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl863])). 25.17/3.90 thf(zip_derived_cl873, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.90 (subset @ (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => (in @ 25.17/3.90 Y2 @ (binunion @ Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y1) => (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((!!) @ (^[Y3 : $o]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (Y3))) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (Y3))) => 25.17/3.90 (Y3))))))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binunion @ Y0 @ Y1)) => 25.17/3.90 (((in @ Y2 @ Y1) | 25.17/3.90 (in @ Y2 @ Y0)))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y0 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y2 @ Y0) => 25.17/3.90 (((subset @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ 25.17/3.90 Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ 25.17/3.90 Y1) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ Y1 @ 25.17/3.90 Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ ( 25.17/3.90 ((??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl869])). 25.17/3.90 thf(zip_derived_cl877, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => (in @ Y2 @ 25.17/3.90 (binunion @ Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y1) => (in @ 25.17/3.90 Y2 @ (binunion @ Y0 @ Y1))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((!!) @ (^[Y3 : $o]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binunion @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (((( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (Y3))) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (Y3))) => 25.17/3.90 (Y3))))))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binunion @ Y0 @ Y1)) => 25.17/3.90 (((in @ Y2 @ Y1) | 25.17/3.90 (in @ Y2 @ Y0)))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y0 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ 25.17/3.90 (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y1) => (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y2 @ Y0) => 25.17/3.90 (((subset @ 25.17/3.90 Y2 @ Y1) => 25.17/3.90 (subset @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ 25.17/3.90 Y1) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ 25.17/3.90 Y0 @ Y1) = (Y1))) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ ( 25.17/3.90 ((??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 ( 25.17/3.90 ( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ 25.17/3.90 Y1 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ 25.17/3.90 Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (( 25.17/3.90 (!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl873])). 25.17/3.90 thf(zip_derived_cl883, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (in @ Y1 @ 25.17/3.90 (setadjoin @ Y0 @ 25.17/3.90 (setadjoin @ Y1 @ emptyset))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 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25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl877])). 25.17/3.90 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(((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => 25.17/3.90 (((in @ Y2 @ Y1) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((subset @ Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (((subset @ Y2 @ 25.17/3.90 Y1) => 25.17/3.90 (subset @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ 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25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl897])). 25.17/3.90 thf(zip_derived_cl906, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ Y1 @ (binunion @ Y0 @ Y1)))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ 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(((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ (((??) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) & (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ Y0 @ 25.17/3.90 Y1) = (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ Y1) = (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 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=> 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ Y2 @ 25.17/3.90 Y1))))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl901])). 25.17/3.90 thf(zip_derived_cl911, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => 25.17/3.90 (((in @ Y2 @ Y1) => (in @ 25.17/3.90 Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((subset @ Y2 @ Y0) => 25.17/3.90 (((subset @ Y2 @ Y1) => 25.17/3.90 (subset @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ (binintersect @ Y0 @ Y1) @ 25.17/3.90 Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y1))) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ (((??) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ 25.17/3.90 Y1) = (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ 25.17/3.90 Y0 @ Y1) = (Y0))) => 25.17/3.90 (subset @ Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 ( 25.17/3.90 binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 ( 25.17/3.90 binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ ( 25.17/3.90 ^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (((~) @ ( 25.17/3.90 in @ Y2 @ 25.17/3.90 Y1))))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl906])). 25.17/3.90 thf(zip_derived_cl917, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((subset @ Y2 @ Y0) => 25.17/3.90 (((subset @ Y2 @ Y1) => 25.17/3.90 (subset @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ (binintersect @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = (Y1))) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ (((??) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ Y1) @ Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ 25.17/3.90 Y1) = (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ 25.17/3.90 Y1) = (Y0))) => 25.17/3.90 (subset @ Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 (binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl911])). 25.17/3.90 thf(zip_derived_cl923, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y0)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ (binintersect @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = (Y1))) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ 25.17/3.90 Y1)) => 25.17/3.90 (in @ Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ (((??) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ Y0) & 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ Y1) @ Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ 25.17/3.90 Y1) = (Y0))) => 25.17/3.90 (subset @ Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 (binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (( 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ Y2 @ 25.17/3.90 Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (( 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 ( 25.17/3.90 setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl917])). 25.17/3.90 thf(zip_derived_cl929, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ (binintersect @ Y0 @ Y1) @ Y0))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y0 @ Y1) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = (Y1))) => 25.17/3.90 (subset @ Y1 @ Y0))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ (((??) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) & (in @ 25.17/3.90 Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ 25.17/3.90 (binintersect @ Y0 @ Y1) @ Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 (binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (((( 25.17/3.90 (~) @ ( 25.17/3.90 in @ Y2 @ 25.17/3.90 Y1))) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ 25.17/3.90 Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 25.17/3.90 Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (( 25.17/3.90 (~) @ ( 25.17/3.90 in @ Y2 @ 25.17/3.90 Y1))))))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl923])). 25.17/3.90 thf(zip_derived_cl936, plain, 25.17/3.90 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(((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 (binunion @ 25.17/3.90 Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (((((~) @ ( 25.17/3.90 in @ Y2 @ 25.17/3.90 Y1))) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ 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25.17/3.90 (in @ Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = 25.17/3.90 (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ (binintersect @ Y0 @ Y1) @ 25.17/3.90 Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = 25.17/3.90 (Y0))) => 25.17/3.90 (subset @ Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((binintersect @ 25.17/3.90 Y0 @ 25.17/3.90 (binunion @ Y1 @ 25.17/3.90 Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y1) @ 25.17/3.90 (binintersect @ 25.17/3.90 Y0 @ Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 Y0) => 25.17/3.90 (((((~) @ ( 25.17/3.90 in @ Y2 @ Y1))) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (((~) @ ( 25.17/3.90 in @ Y2 @ Y1))))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl936])). 25.17/3.90 thf(zip_derived_cl955, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (binintersect @ Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y1)))))))))))) => 25.17/3.90 (((((!!) @ 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(((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => 25.17/3.90 (((((~) @ ( 25.17/3.90 in @ Y2 @ Y1))) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (in @ Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ 25.17/3.90 Y0 @ Y1)) => 25.17/3.90 (((~) @ ( 25.17/3.90 in @ Y2 @ Y1))))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl944])). 25.17/3.90 thf(zip_derived_cl962, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((~) @ (((??) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) & 25.17/3.90 (in @ Y2 @ Y1)))))))) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (emptyset))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ (binintersect @ Y0 @ Y1) @ Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((((binintersect @ Y0 @ Y1) = (Y0))) => 25.17/3.90 (subset @ Y0 @ Y1))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((binintersect @ Y0 @ 25.17/3.90 (binunion @ Y1 @ Y2)) = 25.17/3.90 (binunion @ 25.17/3.90 (binintersect @ Y0 @ 25.17/3.90 Y1) @ 25.17/3.90 (binintersect @ Y0 @ 25.17/3.90 Y2))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ Y0) => 25.17/3.90 (((((~) @ (in @ 25.17/3.90 Y2 @ Y1))) => 25.17/3.90 (in @ Y2 @ 25.17/3.90 (setminus @ Y0 @ 25.17/3.90 Y1))))))))))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ Y0 @ 25.17/3.90 Y1)) => 25.17/3.90 (in @ Y2 @ Y0)))))))))))) => 25.17/3.90 (((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((!!) @ (^[Y2 : $i]: 25.17/3.90 (((in @ Y2 @ 25.17/3.90 (setminus @ Y0 @ 25.17/3.90 Y1)) => 25.17/3.90 (((~) @ (in @ 25.17/3.90 Y2 @ Y1))))))))))))))))))))))))))))), 25.17/3.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl955])). 25.17/3.90 thf(zip_derived_cl967, plain, 25.17/3.90 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (subset @ (binintersect @ Y0 @ Y1) @ Y1))))))) => 25.17/3.90 (((((!!) @ (^[Y0 : $i]: 25.17/3.90 (((!!) @ (^[Y1 : $i]: 25.17/3.90 (((subset @ Y1 @ Y0) => 25.17/3.90 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 25.17/3.90 (((((!!) @ 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Y1))) => 25.17/3.91 (in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1))))))))))))))) => 25.17/3.91 (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (in @ Y2 @ Y0)))))))))))) => 25.17/3.91 (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (((~) @ (in @ Y2 @ Y1))))))))))))))))))))))))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl967])). 25.17/3.91 thf(zip_derived_cl979, plain, 25.17/3.91 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((((binintersect @ Y0 @ Y1) = (Y0))) => 25.17/3.91 (subset @ Y0 @ Y1))))))))) => 25.17/3.91 (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((binintersect @ Y0 @ 25.17/3.91 (binunion @ Y1 @ Y2)) = 25.17/3.91 (binunion @ 25.17/3.91 (binintersect @ Y0 @ Y1) @ 25.17/3.91 (binintersect @ Y0 @ Y2))))))))))))) => 25.17/3.91 (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ Y0) => 25.17/3.91 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.91 (in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1))))))))))))))) => 25.17/3.91 (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (in @ Y2 @ Y0)))))))))))) => 25.17/3.91 (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (((~) @ (in @ Y2 @ Y1))))))))))))))))))))))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl973])). 25.17/3.91 thf(zip_derived_cl984, plain, 25.17/3.91 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((binintersect @ Y0 @ 25.17/3.91 (binunion @ Y1 @ Y2)) = 25.17/3.91 (binunion @ 25.17/3.91 (binintersect @ Y0 @ Y1) @ 25.17/3.91 (binintersect @ Y0 @ Y2))))))))))))) => 25.17/3.91 (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ Y0) => 25.17/3.91 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.91 (in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1))))))))))))))) => 25.17/3.91 (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (in @ Y2 @ Y0)))))))))))) => 25.17/3.91 (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (((~) @ (in @ Y2 @ Y1))))))))))))))))))))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl979])). 25.17/3.91 thf(zip_derived_cl990, plain, 25.17/3.91 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ Y0) => 25.17/3.91 (((((~) @ (in @ Y2 @ Y1))) => 25.17/3.91 (in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1))))))))))))))) => 25.17/3.91 (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (in @ Y2 @ Y0)))))))))))) => 25.17/3.91 (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (((~) @ (in @ Y2 @ Y1))))))))))))))))))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl984])). 25.17/3.91 thf(zip_derived_cl995, plain, 25.17/3.91 (~ (((((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (in @ Y2 @ Y0)))))))))))) => 25.17/3.91 (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (((~) @ (in @ Y2 @ Y1))))))))))))))))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl990])). 25.17/3.91 thf(zip_derived_cl1001, plain, 25.17/3.91 (~ (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (setminus @ Y0 @ Y1)) => 25.17/3.91 (((~) @ (in @ Y2 @ Y1))))))))))))))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl995])). 25.17/3.91 thf(zip_derived_cl1006, plain, 25.17/3.91 (~ (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((in @ Y1 @ (setminus @ '#sk1177' @ Y0)) => 25.17/3.91 (((~) @ (in @ Y1 @ Y0)))))))))))), 25.17/3.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1001])). 25.17/3.91 thf(zip_derived_cl1010, plain, 25.17/3.91 (~ (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((in @ Y0 @ (setminus @ '#sk1177' @ '#sk1178')) => 25.17/3.91 (((~) @ (in @ Y0 @ '#sk1178'))))))))), 25.17/3.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1006])). 25.17/3.91 thf(zip_derived_cl1013, plain, 25.17/3.91 (~ (((in @ 25.17/3.91 ('#sk362' @ (setminus @ '#sk1177' @ '#sk1178') @ 25.17/3.91 (^[Y0 : $i]: (in @ Y0 @ '#sk1178'))) @ 25.17/3.91 (setminus @ '#sk1177' @ '#sk1178')) => 25.17/3.91 (((~) @ (in @ 25.17/3.91 ('#sk362' @ (setminus @ '#sk1177' @ '#sk1178') @ 25.17/3.91 (^[Y0 : $i]: (in @ Y0 @ '#sk1178'))) @ 25.17/3.91 '#sk1178')))))), 25.17/3.91 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1010])). 25.17/3.91 thf(zip_derived_cl1015, plain, 25.17/3.91 ( (in @ 25.17/3.91 ('#sk362' @ (setminus @ '#sk1177' @ '#sk1178') @ 25.17/3.91 (^[Y0 : $i]: (in @ Y0 @ '#sk1178'))) @ 25.17/3.91 (setminus @ '#sk1177' @ '#sk1178'))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1013])). 25.17/3.91 thf(setminus, axiom, 25.17/3.91 (( setminus ) = 25.17/3.91 ( ^[A:$i,B:$i]: ( dsetconstr @ A @ ( ^[Xx:$i]: ( ~( in @ Xx @ B ) ) ) ) ))). 25.17/3.91 thf(zip_derived_cl0, plain, 25.17/3.91 (((setminus) 25.17/3.91 = ((^[Y0 : $i,Y1 : $i]: 25.17/3.91 (dsetconstr @ Y0 @ (^[Y2 : $i]: (((~) @ (in @ Y2 @ Y1))))))))), 25.17/3.91 inference('cnf', [status(esa)], [setminus])). 25.17/3.91 thf(zip_derived_cl3, plain, 25.17/3.91 (![X1 : $i, X2 : $i]: 25.17/3.91 ((setminus @ X1 @ X2) 25.17/3.91 = ((^[Y0 : $i,Y1 : $i]: 25.17/3.91 (dsetconstr @ Y0 @ (^[Y2 : $i]: (((~) @ (in @ Y2 @ Y1)))))) @ 25.17/3.91 X1 @ X2))), 25.17/3.91 inference('ho_complete_eq', [status(thm)], [zip_derived_cl0])). 25.17/3.91 thf(zip_derived_cl5, plain, 25.17/3.91 (![X1 : $i, X2 : $i]: 25.17/3.91 ((setminus @ X1 @ X2) 25.17/3.91 = (dsetconstr @ X1 @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ X2))))))), 25.17/3.91 inference('ho_norm', [status(thm)], [zip_derived_cl3])). 25.17/3.91 thf(zip_derived_cl113, plain, 25.17/3.91 ( (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((!!) @ (^[Y1 : $i > $o]: 25.17/3.91 (((!!) @ (^[Y2 : $i]: 25.17/3.91 (((in @ Y2 @ 25.17/3.91 (dsetconstr @ Y0 @ Y1)) => (Y1 @ 25.17/3.91 Y2))))))))))))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl97])). 25.17/3.91 thf(zip_derived_cl128, plain, 25.17/3.91 (![X2 : $i]: 25.17/3.91 (((!!) @ (^[Y0 : $i > $o]: 25.17/3.91 (((!!) @ (^[Y1 : $i]: 25.17/3.91 (((in @ Y1 @ (dsetconstr @ X2 @ Y0)) => 25.17/3.91 (Y0 @ Y1)))))))))), 25.17/3.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl113])). 25.17/3.91 thf(zip_derived_cl143, plain, 25.17/3.91 (![X2 : $i, X4 : $i > $o]: 25.17/3.91 (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((in @ Y0 @ (dsetconstr @ X2 @ X4)) => (X4 @ Y0))))))), 25.17/3.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl128])). 25.17/3.91 thf(zip_derived_cl144, plain, 25.17/3.91 (![X0 : $i, X1 : $i]: 25.17/3.91 (((!!) @ (^[Y0 : $i]: 25.17/3.91 (((in @ Y0 @ 25.17/3.91 (dsetconstr @ X1 @ 25.17/3.91 (^[Y1 : $i]: (((~) @ (in @ Y1 @ X0)))))) => 25.17/3.91 (((~) @ (in @ Y0 @ X0))))))))), 25.17/3.91 inference('triggered_bool_instantiation', [status(thm)], 25.17/3.91 [zip_derived_cl143])). 25.17/3.91 thf(zip_derived_cl1674, plain, 25.17/3.91 (![X0 : $i, X1 : $i, X3 : $i]: 25.17/3.91 (((in @ X3 @ 25.17/3.91 (dsetconstr @ X1 @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ X0)))))) => 25.17/3.91 (((~) @ (in @ X3 @ X0)))))), 25.17/3.91 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl144])). 25.17/3.91 thf(zip_derived_cl1675, plain, 25.17/3.91 (![X0 : $i, X1 : $i, X3 : $i]: 25.17/3.91 (~ (in @ X3 @ 25.17/3.91 (dsetconstr @ X1 @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ X0)))))) 25.17/3.91 | ~ (in @ X3 @ X0))), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1674])). 25.17/3.91 thf(zip_derived_cl1677, plain, 25.17/3.91 (![X0 : $i, X1 : $i, X2 : $i]: 25.17/3.91 (~ (in @ X2 @ (setminus @ X1 @ X0)) | ~ (in @ X2 @ X0))), 25.17/3.91 inference('sup-', [status(thm)], [zip_derived_cl5, zip_derived_cl1675])). 25.17/3.91 thf(zip_derived_cl1688, plain, 25.17/3.91 (~ (in @ 25.17/3.91 ('#sk362' @ (setminus @ '#sk1177' @ '#sk1178') @ 25.17/3.91 (^[Y0 : $i]: (in @ Y0 @ '#sk1178'))) @ 25.17/3.91 '#sk1178')), 25.17/3.91 inference('sup-', [status(thm)], [zip_derived_cl1015, zip_derived_cl1677])). 25.17/3.91 thf(zip_derived_cl1016, plain, 25.17/3.91 ( (in @ 25.17/3.91 ('#sk362' @ (setminus @ '#sk1177' @ '#sk1178') @ 25.17/3.91 (^[Y0 : $i]: (in @ Y0 @ '#sk1178'))) @ 25.17/3.91 '#sk1178')), 25.17/3.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1013])). 25.17/3.91 thf(zip_derived_cl1698, plain, ($false), 25.17/3.91 inference('demod', [status(thm)], 25.17/3.91 [zip_derived_cl1688, zip_derived_cl1016])). 25.17/3.91 25.17/3.91 % SZS output end Refutation 25.17/3.91 25.17/3.91 25.17/3.91 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 90s 25.17/3.91 % Terminating... 26.39/4.14 % Runner terminated. 26.43/4.16 % Zipperpin 1.5 exiting 26.43/4.18 EOF