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.IZDUFsnaLw true 0.15/0.36 % Computer : n002.cluster.edu 0.15/0.36 % Model : x86_64 x86_64 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.15/0.36 % Memory : 8042.1875MB 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 0.15/0.36 % CPULimit : 1200 0.15/0.36 % WCLimit : 120 0.15/0.36 % DateTime : Tue Jul 13 15:09:48 EDT 2021 0.15/0.36 % CPUTime : 0.15/0.36 % Running portfolio for 120 s 0.15/0.36 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 0.15/0.36 % Number of cores: 8 0.15/0.37 % Python version: Python 3.6.8 0.15/0.37 % Running in HO mode 0.56/0.69 % Total configuration time : 828 0.56/0.69 % Estimated wc time : 983 0.56/0.69 % Estimated cpu time (8 cpus) : 122.875 0.58/0.74 % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 47s 0.58/0.75 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 47s 0.58/0.76 % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 47s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 18s 0.59/0.77 % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 53s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 41s 0.59/0.78 % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 24s 0.59/0.79 % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 35s 0.60/0.83 % /export/starexec/sandbox2/solver/bin/lams/30_b.l.sh running for 53s 86.47/11.66 % Solved by lams/20_acsne_simpl.sh. 86.47/11.66 % running E: timeout 13 /export/starexec/sandbox2/solver/bin/lams/eprover-ho --pos-ext=all --neg-ext=all /export/starexec/sandbox2/tmp/tmp.IZDUFsnaLw/e_input2b9648 --cpu-limit=11 --auto -s -p 86.47/11.66 % done 0 iterations in 8.870s 86.47/11.66 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 86.47/11.66 % SZS output start Refutation 86.47/11.66 thf(setadjoin_type, type, setadjoin: $i > $i > $i). 86.47/11.66 thf(binintersectER_type, type, binintersectER: $o). 86.47/11.66 thf('#sk959_type', type, '#sk959': $i). 86.47/11.66 thf(setadjoinSub_type, type, setadjoinSub: $o). 86.47/11.66 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o). 86.47/11.66 thf(setunion_type, type, setunion: $i > $i). 86.47/11.66 thf(vacuousDall_type, type, vacuousDall: $o). 86.47/11.66 thf(setadjoinIR_type, type, setadjoinIR: $o). 86.47/11.66 thf(omega0Ax_type, type, omega0Ax: $o). 86.47/11.66 thf(subsetE_type, type, subsetE: $o). 86.47/11.66 thf(binintersectSubset3_type, type, binintersectSubset3: $o). 86.47/11.66 thf(setminusER_type, type, setminusER: $o). 86.47/11.66 thf(singletoninpowerset_type, type, singletoninpowerset: $o). 86.47/11.66 thf(binunionE_type, type, binunionE: $o). 86.47/11.66 thf(setadjoinSub2_type, type, setadjoinSub2: $o). 86.47/11.66 thf(powersetE_type, type, powersetE: $o). 86.47/11.66 thf(binunionRsub_type, type, binunionRsub: $o). 86.47/11.66 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o). 86.47/11.66 thf(powerset__Cong_type, type, powerset__Cong: $o). 86.47/11.66 thf(nonempty_type, type, nonempty: $i > $o). 86.47/11.66 thf(omegaIndAx_type, type, omegaIndAx: $o). 86.47/11.66 thf(uniqinunit_type, type, uniqinunit: $o). 86.47/11.66 thf(dsetconstr__Cong_type, type, dsetconstr__Cong: $o). 86.47/11.66 thf(exu__Cong_type, type, exu__Cong: $o). 86.47/11.66 thf(subset2powerset_type, type, subset2powerset: $o). 86.47/11.66 thf(setoftrueEq_type, type, setoftrueEq: $o). 86.47/11.66 thf(singletoninpowunion_type, type, singletoninpowunion: $o). 86.47/11.66 thf(upairset2E_type, type, upairset2E: $o). 86.47/11.66 thf(upairsetIL_type, type, upairsetIL: $o). 86.47/11.66 thf('#sk331_type', type, '#sk331': $i > ($i > $o) > $i). 86.47/11.66 thf(disjointsetsI1_type, type, disjointsetsI1: $o). 86.47/11.66 thf(emptyI_type, type, emptyI: $o). 86.47/11.66 thf(secondinupair_type, type, secondinupair: $o). 86.47/11.66 thf(exuI3_type, type, exuI3: $o). 86.47/11.66 thf(emptysetAx_type, type, emptysetAx: $o). 86.47/11.66 thf(setukpairIL_type, type, setukpairIL: $o). 86.47/11.66 thf(emptyInPowerset_type, type, emptyInPowerset: $o). 86.47/11.66 thf(setadjoinIL_type, type, setadjoinIL: $o). 86.47/11.66 thf(emptyinunitempty_type, type, emptyinunitempty: $o). 86.47/11.66 thf(upairsetIR_type, type, upairsetIR: $o). 86.47/11.66 thf(ubforcartprodlem1_type, type, ubforcartprodlem1: $o). 86.47/11.66 thf(emptyset__Cong_type, type, emptyset__Cong: $o). 86.47/11.66 thf(setminusI_type, type, setminusI: $o). 86.47/11.66 thf(descrp_type, type, descrp: $o). 86.47/11.66 thf(binintersectI_type, type, binintersectI: $o). 86.47/11.66 thf(nonemptyI1_type, type, nonemptyI1: $o). 86.47/11.66 thf(set2prop_type, type, set2prop: $i > $o). 86.47/11.66 thf(emptysetsubset_type, type, emptysetsubset: $o). 86.47/11.66 thf(setunionAx_type, type, setunionAx: $o). 86.47/11.66 thf(notsubsetI_type, type, notsubsetI: $o). 86.47/11.66 thf(binintersectSubset5_type, type, binintersectSubset5: $o). 86.47/11.66 thf(upairset2IR_type, type, upairset2IR: $o). 86.47/11.66 thf(binunionLsub_type, type, binunionLsub: $o). 86.47/11.66 thf(subsetRefl_type, type, subsetRefl: $o). 86.47/11.66 thf(powerset_type, type, powerset: $i > $i). 86.47/11.66 thf(nonemptyI_type, type, nonemptyI: $o). 86.47/11.66 thf(emptysetE_type, type, emptysetE: $o). 86.47/11.66 thf(sepInPowerset_type, type, sepInPowerset: $o). 86.47/11.66 thf('#l_lift10508_type', type, '#l_lift10508': $i > $o). 86.47/11.66 thf(ubforcartprodlem3_type, type, ubforcartprodlem3: $o). 86.47/11.66 thf(subsetemptysetimpeq_type, type, subsetemptysetimpeq: $o). 86.47/11.66 thf(powersetI_type, type, powersetI: $o). 86.47/11.66 thf(exuE2_type, type, exuE2: $o). 86.47/11.66 thf(exu_type, type, exu: ($i > $o) > $o). 86.47/11.66 thf(exuE3e_type, type, exuE3e: $o). 86.47/11.66 thf(setminusSubset1_type, type, setminusSubset1: $o). 86.47/11.66 thf(notequalI2_type, type, notequalI2: $o). 86.47/11.66 thf(descr__Cong_type, type, descr__Cong: $o). 86.47/11.66 thf(setextAx_type, type, setextAx: $o). 86.47/11.66 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o). 86.47/11.66 thf(eqinunit_type, type, eqinunit: $o). 86.47/11.66 thf(symdiffE_type, type, symdiffE: $o). 86.47/11.66 thf(binintersectSubset1_type, type, binintersectSubset1: $o). 86.47/11.66 thf(powersetAx_type, type, powersetAx: $o). 86.47/11.66 thf(singletonsubset_type, type, singletonsubset: $o). 86.47/11.66 thf(subsetI2_type, type, subsetI2: $o). 86.47/11.66 thf(symdiffI1_type, type, symdiffI1: $o). 86.47/11.66 thf(kpairiskpair_type, type, kpairiskpair: $o). 86.47/11.66 thf(setminus_type, type, setminus: $i > $i > $i). 86.47/11.66 thf(binunion_type, type, binunion: $i > $i > $i). 86.47/11.66 thf(subsetI1_type, type, subsetI1: $o). 86.47/11.66 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o). 86.47/11.66 thf(replAx_type, type, replAx: $o). 86.47/11.66 thf(subPowSU_type, type, subPowSU: $o). 86.47/11.66 thf(setunionE_type, type, setunionE: $o). 86.47/11.66 thf(setunion__Cong_type, type, setunion__Cong: $o). 86.47/11.66 thf(bs114d_type, type, bs114d: $o). 86.47/11.66 thf(setminusSubset2_type, type, setminusSubset2: $o). 86.47/11.66 thf(powersetE1_type, type, powersetE1: $o). 86.47/11.66 thf(upairinpowunion_type, type, upairinpowunion: $o). 86.47/11.66 thf(omegaSAx_type, type, omegaSAx: $o). 86.47/11.66 thf(setext_type, type, setext: $o). 86.47/11.66 thf(notequalI1_type, type, notequalI1: $o). 86.47/11.66 thf(setextsub_type, type, setextsub: $o). 86.47/11.66 thf(omega__Cong_type, type, omega__Cong: $o). 86.47/11.66 thf(symdiffI2_type, type, symdiffI2: $o). 86.47/11.66 thf(omega_type, type, omega: $i). 86.47/11.66 thf(setbeta_type, type, setbeta: $o). 86.47/11.66 thf(dsetconstrER_type, type, dsetconstrER: $o). 86.47/11.66 thf(nonemptyE1_type, type, nonemptyE1: $o). 86.47/11.66 thf(binunionIL_type, type, binunionIL: $o). 86.47/11.66 thf('#sk961_type', type, '#sk961': $i). 86.47/11.66 thf(prop2setE_type, type, prop2setE: $o). 86.47/11.66 thf(prop2set2propI_type, type, prop2set2propI: $o). 86.47/11.66 thf(notdallE_type, type, notdallE: $o). 86.47/11.66 thf(eqimpsubset1_type, type, eqimpsubset1: $o). 86.47/11.66 thf(exuEu_type, type, exuEu: $o). 86.47/11.66 thf(notinsingleton_type, type, notinsingleton: $o). 86.47/11.66 thf(upairsetE_type, type, upairsetE: $o). 86.47/11.66 thf(emptyE1_type, type, emptyE1: $o). 86.47/11.66 thf(emptyinPowerset_type, type, emptyinPowerset: $o). 86.47/11.66 thf(binunionEcases_type, type, binunionEcases: $o). 86.47/11.66 thf(symdiffIneg1_type, type, symdiffIneg1: $o). 86.47/11.66 thf(binintersectSubset4_type, type, binintersectSubset4: $o). 86.47/11.66 thf(wellorderingAx_type, type, wellorderingAx: $o). 86.47/11.66 thf(symdiff_type, type, symdiff: $i > $i > $i). 86.47/11.66 thf(descr_type, type, descr: ($i > $o) > $i). 86.47/11.66 thf(binintersectLsub_type, type, binintersectLsub: $o). 86.47/11.66 thf(binintersectRsub_type, type, binintersectRsub: $o). 86.47/11.66 thf(powersetsubset_type, type, powersetsubset: $o). 86.47/11.66 thf(emptyset_type, type, emptyset: $i). 86.47/11.66 thf(upairsubunion_type, type, upairsubunion: $o). 86.47/11.66 thf(kpairp_type, type, kpairp: $o). 86.47/11.66 thf(noeltsimpempty_type, type, noeltsimpempty: $o). 86.47/11.66 thf(exuE1_type, type, exuE1: $o). 86.47/11.66 thf(inPowerset_type, type, inPowerset: $o). 86.47/11.66 thf(in_type, type, in: $i > $i > $o). 86.47/11.66 thf(ubforcartprodlem2_type, type, ubforcartprodlem2: $o). 86.47/11.66 thf(setunionI_type, type, setunionI: $o). 86.47/11.66 thf(in__Cong_type, type, in__Cong: $o). 86.47/11.66 thf(binintersect_type, type, binintersect: $i > $i > $i). 86.47/11.66 thf(setadjoinE_type, type, setadjoinE: $o). 86.47/11.66 thf(subsetTrans_type, type, subsetTrans: $o). 86.47/11.66 thf(dsetconstrEL_type, type, dsetconstrEL: $o). 86.47/11.66 thf(symdiffIneg2_type, type, symdiffIneg2: $o). 86.47/11.66 thf(setminusIRneg_type, type, setminusIRneg: $o). 86.47/11.66 thf(setminusELneg_type, type, setminusELneg: $o). 86.47/11.66 thf(foundationAx_type, type, foundationAx: $o). 86.47/11.66 thf('#l_lift10507_type', type, '#l_lift10507': $i > $o). 86.47/11.66 thf(sepSubset_type, type, sepSubset: $o). 86.47/11.66 thf(exuE3u_type, type, exuE3u: $o). 86.47/11.66 thf(setukpairIR_type, type, setukpairIR: $o). 86.47/11.66 thf(setadjoinOr_type, type, setadjoinOr: $o). 86.47/11.66 thf(exuI1_type, type, exuI1: $o). 86.47/11.66 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o). 86.47/11.66 thf(binunionIR_type, type, binunionIR: $o). 86.47/11.66 thf(inCongP_type, type, inCongP: $o). 86.47/11.66 thf(setminusLsub_type, type, setminusLsub: $o). 86.47/11.66 thf('#sk960_type', type, '#sk960': $i). 86.47/11.66 thf(binintersectSubset2_type, type, binintersectSubset2: $o). 86.47/11.66 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o). 86.47/11.66 thf(eqimpsubset2_type, type, eqimpsubset2: $o). 86.47/11.66 thf(prop2set_type, type, prop2set: $o > $i). 86.47/11.66 thf(setminusERneg_type, type, setminusERneg: $o). 86.47/11.66 thf(exuI2_type, type, exuI2: $o). 86.47/11.66 thf(powersetI1_type, type, powersetI1: $o). 86.47/11.66 thf(cartprod_type, type, cartprod: $i > $i > $i). 86.47/11.66 thf(setminusILneg_type, type, setminusILneg: $o). 86.47/11.66 thf(dsetconstrI_type, type, dsetconstrI: $o). 86.47/11.66 thf(setminusEL_type, type, setminusEL: $o). 86.47/11.66 thf(dsetconstr_type, type, dsetconstr: $i > ($i > $o) > $i). 86.47/11.66 thf(subsetE2_type, type, subsetE2: $o). 86.47/11.66 thf(singletonsswitch_type, type, singletonsswitch: $o). 86.47/11.66 thf(iskpair_type, type, iskpair: $i > $o). 86.47/11.66 thf(binintersectEL_type, type, binintersectEL: $o). 86.47/11.66 thf(setadjoinAx_type, type, setadjoinAx: $o). 86.47/11.66 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o). 86.47/11.66 thf(notinemptyset_type, type, notinemptyset: $o). 86.47/11.66 thf(prop2setI_type, type, prop2setI: $o). 86.47/11.66 thf(kpair_type, type, kpair: $i > $i > $i). 86.47/11.66 thf(subset_type, type, subset: $i > $i > $o). 86.47/11.66 thf(notdexE_type, type, notdexE: $o). 86.47/11.66 thf(ubforcartprodlem3, axiom, ubforcartprodlem3 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ![Xy:$i]: 86.47/11.66 ( ( in @ Xy @ B ) => 86.47/11.66 ( in @ 86.47/11.66 ( kpair @ Xx @ Xy ) @ 86.47/11.66 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 86.47/11.66 thf('0', plain, 86.47/11.66 (( ubforcartprodlem3 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ![X10:$i]: 86.47/11.66 ( ( in @ X10 @ X6 ) => 86.47/11.66 ( in @ 86.47/11.66 ( kpair @ X8 @ X10 ) @ 86.47/11.66 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(ubforcartprodlem2, axiom, ubforcartprodlem2 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ![Xy:$i]: 86.47/11.66 ( ( in @ Xy @ B ) => 86.47/11.66 ( in @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 86.47/11.66 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) ) ) ) ))). 86.47/11.66 thf('1', plain, 86.47/11.66 (( ubforcartprodlem2 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ![X10:$i]: 86.47/11.66 ( ( in @ X10 @ X6 ) => 86.47/11.66 ( in @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X8 @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 86.47/11.66 emptyset ) ) @ 86.47/11.66 ( powerset @ ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(ubforcartprodlem1, axiom, ubforcartprodlem1 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ![Xy:$i]: 86.47/11.66 ( ( in @ Xy @ B ) => 86.47/11.66 ( subset @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) @ 86.47/11.66 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 86.47/11.66 thf('2', plain, 86.47/11.66 (( ubforcartprodlem1 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ![X10:$i]: 86.47/11.66 ( ( in @ X10 @ X6 ) => 86.47/11.66 ( subset @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X8 @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 86.47/11.66 emptyset ) ) @ 86.47/11.66 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(upairinpowunion, axiom, upairinpowunion = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ![Xy:$i]: 86.47/11.66 ( ( in @ Xy @ B ) => 86.47/11.66 ( in @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 86.47/11.66 ( powerset @ ( binunion @ A @ B ) ) ) ) ) ))). 86.47/11.66 thf('3', plain, 86.47/11.66 (( upairinpowunion ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ![X10:$i]: 86.47/11.66 ( ( in @ X10 @ X6 ) => 86.47/11.66 ( in @ 86.47/11.66 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 86.47/11.66 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(upairsubunion, axiom, upairsubunion = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ![Xy:$i]: 86.47/11.66 ( ( in @ Xy @ B ) => 86.47/11.66 ( subset @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 86.47/11.66 ( binunion @ A @ B ) ) ) ) ))). 86.47/11.66 thf('4', plain, 86.47/11.66 (( upairsubunion ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ![X10:$i]: 86.47/11.66 ( ( in @ X10 @ X6 ) => 86.47/11.66 ( subset @ 86.47/11.66 ( setadjoin @ X8 @ ( setadjoin @ X10 @ emptyset ) ) @ 86.47/11.66 ( binunion @ X4 @ X6 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(upairset2E, axiom, upairset2E = 86.47/11.66 (![Xx:$i,Xy:$i,Xz:$i]: 86.47/11.66 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 86.47/11.66 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 86.47/11.66 thf('5', plain, 86.47/11.66 (( upairset2E ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 86.47/11.66 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(singletoninpowunion, axiom, singletoninpowunion = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( in @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ ( powerset @ ( binunion @ A @ B ) ) ) ))). 86.47/11.66 thf('6', plain, 86.47/11.66 (( singletoninpowunion ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( in @ 86.47/11.66 ( setadjoin @ X8 @ emptyset ) @ 86.47/11.66 ( powerset @ ( binunion @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(singletoninpowerset, axiom, singletoninpowerset = 86.47/11.66 (![A:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( in @ ( setadjoin @ Xx @ emptyset ) @ ( powerset @ A ) ) ))). 86.47/11.66 thf('7', plain, 86.47/11.66 (( singletoninpowerset ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( in @ X6 @ X4 ) => 86.47/11.66 ( in @ ( setadjoin @ X6 @ emptyset ) @ ( powerset @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(singletonsubset, axiom, singletonsubset = 86.47/11.66 (![A:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => ( subset @ ( setadjoin @ Xx @ emptyset ) @ A ) ))). 86.47/11.66 thf('8', plain, 86.47/11.66 (( singletonsubset ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( in @ X6 @ X4 ) => ( subset @ ( setadjoin @ X6 @ emptyset ) @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(cartprod, axiom,(( cartprod ) = 86.47/11.66 (^[A:$i,B:$i]: 86.47/11.66 ( dsetconstr @ 86.47/11.66 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) @ 86.47/11.66 ( ^[Xx:$i]: 86.47/11.66 ( ?[Xy:$i]: 86.47/11.66 ( ( ?[Xz:$i]: ( ( ( Xx ) = ( kpair @ Xy @ Xz ) ) & ( in @ Xz @ B ) ) ) & 86.47/11.66 ( in @ Xy @ A ) ) ) ) )))). 86.47/11.66 thf(kpair, axiom,(( kpair ) = 86.47/11.66 (^[Xx:$i,Xy:$i]: 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) )))). 86.47/11.66 thf('9', plain, 86.47/11.66 (( kpair ) = 86.47/11.66 ( ^[Xx:$i,Xy:$i]: 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) )), 86.47/11.66 inference('simplify_rw_rule', [status(thm)], [kpair])). 86.47/11.66 thf('10', plain, 86.47/11.66 (( kpair ) = 86.47/11.66 ( ^[V_1:$i,V_2:$i]: 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ V_1 @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ V_1 @ ( setadjoin @ V_2 @ emptyset ) ) @ emptyset ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf('11', plain, 86.47/11.66 (( cartprod ) = 86.47/11.66 ( ^[A:$i,B:$i]: 86.47/11.66 ( dsetconstr @ 86.47/11.66 ( powerset @ ( powerset @ ( binunion @ A @ B ) ) ) @ 86.47/11.66 ( ^[Xx:$i]: 86.47/11.66 ( ?[Xy:$i]: 86.47/11.66 ( ( ?[Xz:$i]: 86.47/11.66 ( ( ( Xx ) = ( kpair @ Xy @ Xz ) ) & ( in @ Xz @ B ) ) ) & 86.47/11.66 ( in @ Xy @ A ) ) ) ) ) )), 86.47/11.66 inference('simplify_rw_rule', [status(thm)], [cartprod, '10'])). 86.47/11.66 thf('12', plain, 86.47/11.66 (( cartprod ) = 86.47/11.66 ( ^[V_1:$i,V_2:$i]: 86.47/11.66 ( dsetconstr @ 86.47/11.66 ( powerset @ ( powerset @ ( binunion @ V_1 @ V_2 ) ) ) @ 86.47/11.66 ( ^[V_3:$i]: 86.47/11.66 ( ?[X4:$i]: 86.47/11.66 ( ( ?[X6:$i]: 86.47/11.66 ( ( ( V_3 ) = ( kpair @ X4 @ X6 ) ) & ( in @ X6 @ V_2 ) ) ) & 86.47/11.66 ( in @ X4 @ V_1 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(kpairp, axiom, kpairp = 86.47/11.66 (![Xx:$i,Xy:$i]: ( iskpair @ ( kpair @ Xx @ Xy ) ))). 86.47/11.66 thf('13', plain, 86.47/11.66 (( kpairp ) = ( ![X4:$i,X6:$i]: ( iskpair @ ( kpair @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(kpairiskpair, axiom, kpairiskpair = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( iskpair @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ))). 86.47/11.66 thf('14', plain, 86.47/11.66 (( kpairiskpair ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( iskpair @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setukpairIR, axiom, setukpairIR = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( in @ 86.47/11.66 Xy @ 86.47/11.66 ( setunion @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 86.47/11.66 thf('15', plain, 86.47/11.66 (( setukpairIR ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( in @ 86.47/11.66 X6 @ 86.47/11.66 ( setunion @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setukpairIL, axiom, setukpairIL = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( in @ 86.47/11.66 Xx @ 86.47/11.66 ( setunion @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ emptyset ) ) ) ))). 86.47/11.66 thf('16', plain, 86.47/11.66 (( setukpairIL ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( in @ 86.47/11.66 X4 @ 86.47/11.66 ( setunion @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ emptyset ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(secondinupair, axiom, secondinupair = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 86.47/11.66 thf('17', plain, 86.47/11.66 (( secondinupair ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(iskpair, axiom,(( iskpair ) = 86.47/11.66 (^[A:$i]: 86.47/11.66 ( ?[Xx:$i]: 86.47/11.66 ( ( ?[Xy:$i]: 86.47/11.66 ( ( ( A ) = 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 86.47/11.66 emptyset ) ) ) & 86.47/11.66 ( in @ Xy @ ( setunion @ A ) ) ) ) & 86.47/11.66 ( in @ Xx @ ( setunion @ A ) ) ) )))). 86.47/11.66 thf('18', plain, 86.47/11.66 (( iskpair ) = 86.47/11.66 ( ^[A:$i]: 86.47/11.66 ( ?[Xx:$i]: 86.47/11.66 ( ( ?[Xy:$i]: 86.47/11.66 ( ( ( A ) = 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) @ 86.47/11.66 emptyset ) ) ) & 86.47/11.66 ( in @ Xy @ ( setunion @ A ) ) ) ) & 86.47/11.66 ( in @ Xx @ ( setunion @ A ) ) ) ) )), 86.47/11.66 inference('simplify_rw_rule', [status(thm)], [iskpair])). 86.47/11.66 thf('19', plain, 86.47/11.66 (( iskpair ) = 86.47/11.66 ( ^[V_1:$i]: 86.47/11.66 ( ?[X4:$i]: 86.47/11.66 ( ( ?[X6:$i]: 86.47/11.66 ( ( ( V_1 ) = 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ emptyset ) @ 86.47/11.66 ( setadjoin @ 86.47/11.66 ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) @ 86.47/11.66 emptyset ) ) ) & 86.47/11.66 ( in @ X6 @ ( setunion @ V_1 ) ) ) ) & 86.47/11.66 ( in @ X4 @ ( setunion @ V_1 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(symdiffIneg2, axiom, symdiffIneg2 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( ~( in @ Xx @ A ) ) => 86.47/11.66 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 86.47/11.66 thf('20', plain, 86.47/11.66 (( symdiffIneg2 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( ~( in @ X8 @ X4 ) ) => 86.47/11.66 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(symdiffIneg1, axiom, symdiffIneg1 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( symdiff @ A @ B ) ) ) ) ))). 86.47/11.66 thf('21', plain, 86.47/11.66 (( symdiffIneg1 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(symdiffI2, axiom, symdiffI2 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( ~( in @ Xx @ A ) ) => 86.47/11.66 ( ( in @ Xx @ B ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 86.47/11.66 thf('22', plain, 86.47/11.66 (( symdiffI2 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( ~( in @ X8 @ X4 ) ) => 86.47/11.66 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(symdiffI1, axiom, symdiffI1 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( symdiff @ A @ B ) ) ) ))). 86.47/11.66 thf('23', plain, 86.47/11.66 (( symdiffI1 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(symdiffE, axiom, symdiffE = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( symdiff @ A @ B ) ) => 86.47/11.66 ( ![Xphi:$o]: 86.47/11.66 ( ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( Xphi ) ) ) => 86.47/11.66 ( ( ( ~( in @ Xx @ A ) ) => ( ( in @ Xx @ B ) => ( Xphi ) ) ) => 86.47/11.66 ( Xphi ) ) ) ) ))). 86.47/11.66 thf('24', plain, 86.47/11.66 (( symdiffE ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( symdiff @ X4 @ X6 ) ) => 86.47/11.66 ( ![X10:$o]: 86.47/11.66 ( ( ( in @ X8 @ X4 ) => ( ( ~( in @ X8 @ X6 ) ) => ( X10 ) ) ) => 86.47/11.66 ( ( ( ~( in @ X8 @ X4 ) ) => ( ( in @ X8 @ X6 ) => ( X10 ) ) ) => 86.47/11.66 ( X10 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusSubset1, axiom, setminusSubset1 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( setminus @ A @ B ) = ( emptyset ) ) => ( subset @ A @ B ) ))). 86.47/11.66 thf('25', plain, 86.47/11.66 (( setminusSubset1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) => ( subset @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusLsub, axiom, setminusLsub = 86.47/11.66 (![A:$i,B:$i]: ( subset @ ( setminus @ A @ B ) @ A ))). 86.47/11.66 thf('26', plain, 86.47/11.66 (( setminusLsub ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( subset @ ( setminus @ X4 @ X6 ) @ X4 ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusIRneg, axiom, setminusIRneg = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ B ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 86.47/11.66 thf('27', plain, 86.47/11.66 (( setminusIRneg ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X6 ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusILneg, axiom, setminusILneg = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( ~( in @ Xx @ A ) ) => ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 86.47/11.66 thf('28', plain, 86.47/11.66 (( setminusILneg ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( ~( in @ X8 @ X4 ) ) => ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusELneg, axiom, setminusELneg = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 86.47/11.66 ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 86.47/11.66 thf('29', plain, 86.47/11.66 (( setminusELneg ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 86.47/11.66 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusERneg, axiom, setminusERneg = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( ~( in @ Xx @ ( setminus @ A @ B ) ) ) => 86.47/11.66 ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 86.47/11.66 thf('30', plain, 86.47/11.66 (( setminusERneg ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( ~( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) => 86.47/11.66 ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusSubset2, axiom, setminusSubset2 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( ( setminus @ A @ B ) = ( emptyset ) ) ))). 86.47/11.66 thf('31', plain, 86.47/11.66 (( setminusSubset2 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => ( ( setminus @ X4 @ X6 ) = ( emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusER, axiom, setminusER = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( ~( in @ Xx @ B ) ) ))). 86.47/11.66 thf('32', plain, 86.47/11.66 (( setminusER ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( ~( in @ X8 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusEL, axiom, setminusEL = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( setminus @ A @ B ) ) => ( in @ Xx @ A ) ))). 86.47/11.66 thf('33', plain, 86.47/11.66 (( setminusEL ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( setminus @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setminusI, axiom, setminusI = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ( ~( in @ Xx @ B ) ) => ( in @ Xx @ ( setminus @ A @ B ) ) ) ))). 86.47/11.66 thf('34', plain, 86.47/11.66 (( setminusI ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( ~( in @ X8 @ X6 ) ) => ( in @ X8 @ ( setminus @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(bs114d, axiom, bs114d = 86.47/11.66 (![A:$i,B:$i,C:$i]: 86.47/11.66 ( ( binintersect @ A @ ( binunion @ B @ C ) ) = 86.47/11.66 ( binunion @ ( binintersect @ A @ B ) @ ( binintersect @ A @ C ) ) ))). 86.47/11.66 thf('35', plain, 86.47/11.66 (( bs114d ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( binintersect @ X4 @ ( binunion @ X6 @ X8 ) ) = 86.47/11.66 ( binunion @ ( binintersect @ X4 @ X6 ) @ ( binintersect @ X4 @ X8 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectSubset1, axiom, binintersectSubset1 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( binintersect @ A @ B ) = ( A ) ) => ( subset @ A @ B ) ))). 86.47/11.66 thf('36', plain, 86.47/11.66 (( binintersectSubset1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) => ( subset @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectSubset4, axiom, binintersectSubset4 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( subset @ B @ A ) => ( ( binintersect @ A @ B ) = ( B ) ) ))). 86.47/11.66 thf('37', plain, 86.47/11.66 (( binintersectSubset4 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( subset @ X6 @ X4 ) => ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectRsub, axiom, binintersectRsub = 86.47/11.66 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ B ))). 86.47/11.66 thf('38', plain, 86.47/11.66 (( binintersectRsub ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X6 ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(disjointsetsI1, axiom, disjointsetsI1 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ B ) & ( in @ Xx @ A ) ) ) ) => 86.47/11.66 ( ( binintersect @ A @ B ) = ( emptyset ) ) ))). 86.47/11.66 thf('39', plain, 86.47/11.66 (( disjointsetsI1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ~( ?[X8:$i]: ( ( in @ X8 @ X6 ) & ( in @ X8 @ X4 ) ) ) ) => 86.47/11.66 ( ( binintersect @ X4 @ X6 ) = ( emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectER, axiom, binintersectER = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ B ) ))). 86.47/11.66 thf('40', plain, 86.47/11.66 (( binintersectER ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectSubset3, axiom, binintersectSubset3 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( binintersect @ A @ B ) = ( B ) ) => ( subset @ B @ A ) ))). 86.47/11.66 thf('41', plain, 86.47/11.66 (( binintersectSubset3 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( binintersect @ X4 @ X6 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectSubset2, axiom, binintersectSubset2 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( ( binintersect @ A @ B ) = ( A ) ) ))). 86.47/11.66 thf('42', plain, 86.47/11.66 (( binintersectSubset2 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => ( ( binintersect @ X4 @ X6 ) = ( X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectLsub, axiom, binintersectLsub = 86.47/11.66 (![A:$i,B:$i]: ( subset @ ( binintersect @ A @ B ) @ A ))). 86.47/11.66 thf('43', plain, 86.47/11.66 (( binintersectLsub ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( subset @ ( binintersect @ X4 @ X6 ) @ X4 ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectEL, axiom, binintersectEL = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( binintersect @ A @ B ) ) => ( in @ Xx @ A ) ))). 86.47/11.66 thf('44', plain, 86.47/11.66 (( binintersectEL ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) => ( in @ X8 @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectSubset5, axiom, binintersectSubset5 = 86.47/11.66 (![A:$i,B:$i,C:$i]: 86.47/11.66 ( ( subset @ C @ A ) => 86.47/11.66 ( ( subset @ C @ B ) => ( subset @ C @ ( binintersect @ A @ B ) ) ) ))). 86.47/11.66 thf('45', plain, 86.47/11.66 (( binintersectSubset5 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( subset @ X8 @ X4 ) => 86.47/11.66 ( ( subset @ X8 @ X6 ) => 86.47/11.66 ( subset @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binintersectI, axiom, binintersectI = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binintersect @ A @ B ) ) ) ))). 86.47/11.66 thf('46', plain, 86.47/11.66 (( binintersectI ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binintersect @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binunionRsub, axiom, binunionRsub = 86.47/11.66 (![A:$i,B:$i]: ( subset @ B @ ( binunion @ A @ B ) ))). 86.47/11.66 thf('47', plain, 86.47/11.66 (( binunionRsub ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( binunion @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binunionLsub, axiom, binunionLsub = 86.47/11.66 (![A:$i,B:$i]: ( subset @ A @ ( binunion @ A @ B ) ))). 86.47/11.66 thf('48', plain, 86.47/11.66 (( binunionLsub ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( subset @ X4 @ ( binunion @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binunionE, axiom, binunionE = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 86.47/11.66 ( ( in @ Xx @ A ) | ( in @ Xx @ B ) ) ))). 86.47/11.66 thf('49', plain, 86.47/11.66 (( binunionE ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 86.47/11.66 ( ( in @ X8 @ X4 ) | ( in @ X8 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binunionEcases, axiom, binunionEcases = 86.47/11.66 (![A:$i,B:$i,Xx:$i,Xphi:$o]: 86.47/11.66 ( ( in @ Xx @ ( binunion @ A @ B ) ) => 86.47/11.66 ( ( ( in @ Xx @ A ) => ( Xphi ) ) => 86.47/11.66 ( ( ( in @ Xx @ B ) => ( Xphi ) ) => ( Xphi ) ) ) ))). 86.47/11.66 thf('50', plain, 86.47/11.66 (( binunionEcases ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i,X10:$o]: 86.47/11.66 ( ( in @ X8 @ ( binunion @ X4 @ X6 ) ) => 86.47/11.66 ( ( ( in @ X8 @ X4 ) => ( X10 ) ) => 86.47/11.66 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binunionIR, axiom, binunionIR = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ B ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 86.47/11.66 thf('51', plain, 86.47/11.66 (( binunionIR ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(upairset2IR, axiom, upairset2IR = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 86.47/11.66 thf('52', plain, 86.47/11.66 (( upairset2IR ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(binunionIL, axiom, binunionIL = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => ( in @ Xx @ ( binunion @ A @ B ) ) ))). 86.47/11.66 thf('53', plain, 86.47/11.66 (( binunionIL ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => ( in @ X8 @ ( binunion @ X4 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(sepSubset, axiom, sepSubset = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( subset @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ A ))). 86.47/11.66 thf('54', plain, 86.47/11.66 (( sepSubset ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( subset @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ X4 ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(sepInPowerset, axiom, sepInPowerset = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( in @ ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) @ ( powerset @ A ) ))). 86.47/11.66 thf('55', plain, 86.47/11.66 (( sepInPowerset ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( in @ 86.47/11.66 ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) @ 86.47/11.66 ( powerset @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(powersetsubset, axiom, powersetsubset = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( subset @ ( powerset @ A ) @ ( powerset @ B ) ) ))). 86.47/11.66 thf('56', plain, 86.47/11.66 (( powersetsubset ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => 86.47/11.66 ( subset @ ( powerset @ X4 ) @ ( powerset @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(inPowerset, axiom, inPowerset = (![A:$i]: ( in @ A @ ( powerset @ A ) ))). 86.47/11.66 thf('57', plain, 86.47/11.66 (( inPowerset ) = ( ![X4:$i]: ( in @ X4 @ ( powerset @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(powersetE1, axiom, powersetE1 = 86.47/11.66 (![A:$i,B:$i]: ( ( in @ B @ ( powerset @ A ) ) => ( subset @ B @ A ) ))). 86.47/11.66 thf('58', plain, 86.47/11.66 (( powersetE1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( in @ X6 @ ( powerset @ X4 ) ) => ( subset @ X6 @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(powersetI1, axiom, powersetI1 = 86.47/11.66 (![A:$i,B:$i]: ( ( subset @ B @ A ) => ( in @ B @ ( powerset @ A ) ) ))). 86.47/11.66 thf('59', plain, 86.47/11.66 (( powersetI1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( subset @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subsetemptysetimpeq, axiom, subsetemptysetimpeq = 86.47/11.66 (![A:$i]: ( ( subset @ A @ emptyset ) => ( ( A ) = ( emptyset ) ) ))). 86.47/11.66 thf('60', plain, 86.47/11.66 (( subsetemptysetimpeq ) = 86.47/11.66 ( ![X4:$i]: ( ( subset @ X4 @ emptyset ) => ( ( X4 ) = ( emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setextsub, axiom, setextsub = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( ( subset @ B @ A ) => ( ( A ) = ( B ) ) ) ))). 86.47/11.66 thf('61', plain, 86.47/11.66 (( setextsub ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => 86.47/11.66 ( ( subset @ X6 @ X4 ) => ( ( X4 ) = ( X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subset2powerset, axiom, subset2powerset = 86.47/11.66 (![A:$i,B:$i]: ( ( subset @ A @ B ) => ( in @ A @ ( powerset @ B ) ) ))). 86.47/11.66 thf('62', plain, 86.47/11.66 (( subset2powerset ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => ( in @ X4 @ ( powerset @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setadjoinSub2, axiom, setadjoinSub2 = 86.47/11.66 (![A:$i,Xx:$i,B:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( subset @ A @ ( setadjoin @ Xx @ B ) ) ))). 86.47/11.66 thf('63', plain, 86.47/11.66 (( setadjoinSub2 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( subset @ X4 @ X8 ) => ( subset @ X4 @ ( setadjoin @ X6 @ X8 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setadjoinSub, axiom, setadjoinSub = 86.47/11.66 (![Xx:$i,A:$i]: ( subset @ A @ ( setadjoin @ Xx @ A ) ))). 86.47/11.66 thf('64', plain, 86.47/11.66 (( setadjoinSub ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( subset @ X6 @ ( setadjoin @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subsetTrans, axiom, subsetTrans = 86.47/11.66 (![A:$i,B:$i,C:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( ( subset @ B @ C ) => ( subset @ A @ C ) ) ))). 86.47/11.66 thf('65', plain, 86.47/11.66 (( subsetTrans ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => 86.47/11.66 ( ( subset @ X6 @ X8 ) => ( subset @ X4 @ X8 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subsetRefl, axiom, subsetRefl = (![A:$i]: ( subset @ A @ A ))). 86.47/11.66 thf('66', plain, (( subsetRefl ) = ( ![X4:$i]: ( subset @ X4 @ X4 ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(notequalI2, axiom, notequalI2 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ( A ) != ( B ) ) ) ))). 86.47/11.66 thf('67', plain, 86.47/11.66 (( notequalI2 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( ~( in @ X8 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(notequalI1, axiom, notequalI1 = 86.47/11.66 (![A:$i,B:$i]: ( ( ~( subset @ A @ B ) ) => ( ( A ) != ( B ) ) ))). 86.47/11.66 thf('68', plain, 86.47/11.66 (( notequalI1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( ( ~( subset @ X4 @ X6 ) ) => ( ( X4 ) != ( X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(notsubsetI, axiom, notsubsetI = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => ( ( ~( in @ Xx @ B ) ) => ( ~( subset @ A @ B ) ) ) ))). 86.47/11.66 thf('69', plain, 86.47/11.66 (( notsubsetI ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( ~( in @ X8 @ X6 ) ) => ( ~( subset @ X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subsetE2, axiom, subsetE2 = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( ( ~( in @ Xx @ B ) ) => ( ~( in @ Xx @ A ) ) ) ))). 86.47/11.66 thf('70', plain, 86.47/11.66 (( subsetE2 ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => 86.47/11.66 ( ( ~( in @ X8 @ X6 ) ) => ( ~( in @ X8 @ X4 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subsetE, axiom, subsetE = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( subset @ A @ B ) => ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ))). 86.47/11.66 thf('71', plain, 86.47/11.66 (( subsetE ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( subset @ X4 @ X6 ) => ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptysetsubset, axiom, emptysetsubset = 86.47/11.66 (![A:$i]: ( subset @ emptyset @ A ))). 86.47/11.66 thf('72', plain, 86.47/11.66 (( emptysetsubset ) = ( ![X4:$i]: ( subset @ emptyset @ X4 ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subsetI2, axiom, subsetI2 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 86.47/11.66 ( subset @ A @ B ) ))). 86.47/11.66 thf('73', plain, 86.47/11.66 (( subsetI2 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 86.47/11.66 ( subset @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(eqimpsubset1, axiom, eqimpsubset1 = 86.47/11.66 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ A @ B ) ))). 86.47/11.66 thf('74', plain, 86.47/11.66 (( eqimpsubset1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(eqimpsubset2, axiom, eqimpsubset2 = 86.47/11.66 (![A:$i,B:$i]: ( ( ( A ) = ( B ) ) => ( subset @ B @ A ) ))). 86.47/11.66 thf('75', plain, 86.47/11.66 (( eqimpsubset2 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( ( ( X4 ) = ( X6 ) ) => ( subset @ X6 @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subsetI1, axiom, subsetI1 = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 86.47/11.66 ( subset @ A @ B ) ))). 86.47/11.66 thf('76', plain, 86.47/11.66 (( subsetI1 ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 86.47/11.66 ( subset @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(dsetconstr__Cong, axiom, dsetconstr__Cong = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( A ) = ( B ) ) => 86.47/11.66 ( ![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 86.47/11.66 ( ( ![Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ![Xy:$i]: 86.47/11.66 ( ( in @ Xy @ B ) => 86.47/11.66 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) ) ) ) => 86.47/11.66 ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 86.47/11.66 ( dsetconstr @ B @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 86.47/11.66 thf('77', plain, 86.47/11.66 (( dsetconstr__Cong ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) = ( X6 ) ) => 86.47/11.66 ( ![X8:( $i > $o ),X10:( $i > $o )]: 86.47/11.66 ( ( ![X12:$i]: 86.47/11.66 ( ( in @ X12 @ X4 ) => 86.47/11.66 ( ![X14:$i]: 86.47/11.66 ( ( in @ X14 @ X6 ) => 86.47/11.66 ( ( ( X12 ) = ( X14 ) ) => 86.47/11.66 ( ( X8 @ X12 ) <=> ( X10 @ X14 ) ) ) ) ) ) ) => 86.47/11.66 ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X8 @ V_1 ) ) ) = 86.47/11.66 ( dsetconstr @ X6 @ ( ^[V_2:$i]: ( X10 @ V_2 ) ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(descr__Cong, axiom, descr__Cong = 86.47/11.66 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 86.47/11.66 ( ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) => 86.47/11.66 ( ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = 86.47/11.66 ( descr @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ) ) ))). 86.47/11.66 thf('78', plain, 86.47/11.66 (( descr__Cong ) = 86.47/11.66 ( ![X4:( $i > $o ),X6:( $i > $o )]: 86.47/11.66 ( ( ![X8:$i,X10:$i]: 86.47/11.66 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 86.47/11.66 ( ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) => 86.47/11.66 ( ( descr @ ( ^[V_3:$i]: ( X4 @ V_3 ) ) ) = 86.47/11.66 ( descr @ ( ^[V_4:$i]: ( X6 @ V_4 ) ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuEu, axiom, exuEu = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 86.47/11.66 ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 86.47/11.66 thf('79', plain, 86.47/11.66 (( exuEu ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 86.47/11.66 ( ![X6:$i,X8:$i]: 86.47/11.66 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(omega__Cong, axiom, omega__Cong = (( omega ) = ( omega ))). 86.47/11.66 thf('80', plain, (( omega__Cong ) = ( ( omega ) = ( omega ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setunion__Cong, axiom, setunion__Cong = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( A ) = ( B ) ) => ( ( setunion @ A ) = ( setunion @ B ) ) ))). 86.47/11.66 thf('81', plain, 86.47/11.66 (( setunion__Cong ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) = ( X6 ) ) => ( ( setunion @ X4 ) = ( setunion @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(powerset__Cong, axiom, powerset__Cong = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( A ) = ( B ) ) => ( ( powerset @ A ) = ( powerset @ B ) ) ))). 86.47/11.66 thf('82', plain, 86.47/11.66 (( powerset__Cong ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) = ( X6 ) ) => ( ( powerset @ X4 ) = ( powerset @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setadjoin__Cong, axiom, setadjoin__Cong = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( Xx ) = ( Xy ) ) => 86.47/11.66 ( ![Xz:$i,Xu:$i]: 86.47/11.66 ( ( ( Xz ) = ( Xu ) ) => 86.47/11.66 ( ( setadjoin @ Xx @ Xz ) = ( setadjoin @ Xy @ Xu ) ) ) ) ))). 86.47/11.66 thf('83', plain, 86.47/11.66 (( setadjoin__Cong ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) = ( X6 ) ) => 86.47/11.66 ( ![X8:$i,X10:$i]: 86.47/11.66 ( ( ( X8 ) = ( X10 ) ) => 86.47/11.66 ( ( setadjoin @ X4 @ X8 ) = ( setadjoin @ X6 @ X10 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptyset__Cong, axiom, emptyset__Cong = (( emptyset ) = ( emptyset ))). 86.47/11.66 thf('84', plain, (( emptyset__Cong ) = ( ( emptyset ) = ( emptyset ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exu__Cong, axiom, exu__Cong = 86.47/11.66 (![Xphi:( $i > $o ),Xpsi:( $i > $o )]: 86.47/11.66 ( ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( Xx ) = ( Xy ) ) => ( ( Xphi @ Xx ) <=> ( Xpsi @ Xy ) ) ) ) => 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) <=> 86.47/11.66 ( exu @ ( ^[Xx:$i]: ( Xpsi @ Xx ) ) ) ) ))). 86.47/11.66 thf('85', plain, 86.47/11.66 (( exu__Cong ) = 86.47/11.66 ( ![X4:( $i > $o ),X6:( $i > $o )]: 86.47/11.66 ( ( ![X8:$i,X10:$i]: 86.47/11.66 ( ( ( X8 ) = ( X10 ) ) => ( ( X4 @ X8 ) <=> ( X6 @ X10 ) ) ) ) => 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) <=> 86.47/11.66 ( exu @ ( ^[V_2:$i]: ( X6 @ V_2 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuE3u, axiom, exuE3u = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 86.47/11.66 ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) ))). 86.47/11.66 thf('86', plain, 86.47/11.66 (( exuE3u ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 86.47/11.66 ( ![X6:$i,X8:$i]: 86.47/11.66 ( ( X4 @ X6 ) => ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(in__Cong, axiom, in__Cong = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( A ) = ( B ) ) => 86.47/11.66 ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) <=> ( in @ Xy @ B ) ) ) ) ))). 86.47/11.66 thf('87', plain, 86.47/11.66 (( in__Cong ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) = ( X6 ) ) => 86.47/11.66 ( ![X8:$i,X10:$i]: 86.47/11.66 ( ( ( X8 ) = ( X10 ) ) => 86.47/11.66 ( ( in @ X8 @ X4 ) <=> ( in @ X10 @ X6 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(inCongP, axiom, inCongP = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ( A ) = ( B ) ) => 86.47/11.66 ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( Xx ) = ( Xy ) ) => ( ( in @ Xx @ A ) => ( in @ Xy @ B ) ) ) ) ))). 86.47/11.66 thf('88', plain, 86.47/11.66 (( inCongP ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) = ( X6 ) ) => 86.47/11.66 ( ![X8:$i,X10:$i]: 86.47/11.66 ( ( ( X8 ) = ( X10 ) ) => 86.47/11.66 ( ( in @ X8 @ X4 ) => ( in @ X10 @ X6 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuI2, axiom, exuI2 = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) => 86.47/11.66 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 86.47/11.66 thf('89', plain, 86.47/11.66 (( exuI2 ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) => 86.47/11.66 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuI3, axiom, exuI3 = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( ?[Xx:$i]: ( Xphi @ Xx ) ) => 86.47/11.66 ( ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( Xphi @ Xx ) => ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) ) => 86.47/11.66 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 86.47/11.66 thf('90', plain, 86.47/11.66 (( exuI3 ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( ?[X6:$i]: ( X4 @ X6 ) ) => 86.47/11.66 ( ( ![X8:$i,X10:$i]: 86.47/11.66 ( ( X4 @ X8 ) => ( ( X4 @ X10 ) => ( ( X8 ) = ( X10 ) ) ) ) ) => 86.47/11.66 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuI1, axiom, exuI1 = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( ?[Xx:$i]: 86.47/11.66 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 86.47/11.66 ( Xphi @ Xx ) ) ) => 86.47/11.66 ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ))). 86.47/11.66 thf('91', plain, 86.47/11.66 (( exuI1 ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( ?[X6:$i]: 86.47/11.66 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 86.47/11.66 ( X4 @ X6 ) ) ) => 86.47/11.66 ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(notdallE, axiom, notdallE = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 86.47/11.66 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 86.47/11.66 thf('92', plain, 86.47/11.66 (( notdallE ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 86.47/11.66 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(notdexE, axiom, notdexE = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 86.47/11.66 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 86.47/11.66 thf('93', plain, 86.47/11.66 (( notdexE ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 86.47/11.66 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(prop2set2propI, axiom, prop2set2propI = 86.47/11.66 (![Xphi:$o]: ( ( Xphi ) => ( set2prop @ ( prop2set @ Xphi ) ) ))). 86.47/11.66 thf('94', plain, 86.47/11.66 (( prop2set2propI ) = 86.47/11.66 ( ![X4:$o]: ( ( X4 ) => ( set2prop @ ( prop2set @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(prop2setI, axiom, prop2setI = 86.47/11.66 (![Xphi:$o]: ( ( Xphi ) => ( in @ emptyset @ ( prop2set @ Xphi ) ) ))). 86.47/11.66 thf('95', plain, 86.47/11.66 (( prop2setI ) = 86.47/11.66 ( ![X4:$o]: ( ( X4 ) => ( in @ emptyset @ ( prop2set @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(quantDeMorgan4, axiom, quantDeMorgan4 = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) => 86.47/11.66 ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) ))). 86.47/11.66 thf('96', plain, 86.47/11.66 (( quantDeMorgan4 ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( ( ?[X8:$i]: ( ( ~( X6 @ X8 ) ) & ( in @ X8 @ X4 ) ) ) => 86.47/11.66 ( ~( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( X6 @ X10 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(quantDeMorgan3, axiom, quantDeMorgan3 = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) => 86.47/11.66 ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) ))). 86.47/11.66 thf('97', plain, 86.47/11.66 (( quantDeMorgan3 ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( ( ~( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) => 86.47/11.66 ( ![X10:$i]: ( ( in @ X10 @ X4 ) => ( ~( X6 @ X10 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(quantDeMorgan2, axiom, quantDeMorgan2 = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( ~( Xphi @ Xx ) ) ) ) => 86.47/11.66 ( ~( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) ) ))). 86.47/11.66 thf('98', plain, 86.47/11.66 (( quantDeMorgan2 ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( ~( X6 @ X8 ) ) ) ) => 86.47/11.66 ( ~( ?[X10:$i]: ( ( X6 @ X10 ) & ( in @ X10 @ X4 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(quantDeMorgan1, axiom, quantDeMorgan1 = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( ( ~( ![Xx:$i]: ( ( in @ Xx @ A ) => ( Xphi @ Xx ) ) ) ) => 86.47/11.66 ( ?[Xx:$i]: ( ( ~( Xphi @ Xx ) ) & ( in @ Xx @ A ) ) ) ))). 86.47/11.66 thf('99', plain, 86.47/11.66 (( quantDeMorgan1 ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( ( ~( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( X6 @ X8 ) ) ) ) => 86.47/11.66 ( ?[X10:$i]: ( ( ~( X6 @ X10 ) ) & ( in @ X10 @ X4 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(vacuousDall, axiom, vacuousDall = 86.47/11.66 (![Xphi:( $i > $o ),Xx:$i]: ( ( in @ Xx @ emptyset ) => ( Xphi @ Xx ) ))). 86.47/11.66 thf('100', plain, 86.47/11.66 (( vacuousDall ) = 86.47/11.66 ( ![X4:( $i > $o ),X6:$i]: ( ( in @ X6 @ emptyset ) => ( X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptyE1, axiom, emptyE1 = 86.47/11.66 (![A:$i,Xphi:( $i > $o )]: 86.47/11.66 ( ( ?[Xx:$i]: ( ( Xphi @ Xx ) & ( in @ Xx @ A ) ) ) => 86.47/11.66 ( ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) = ( emptyset ) ) => 86.47/11.66 ( $false ) ) ))). 86.47/11.66 thf('101', plain, 86.47/11.66 (( emptyE1 ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o )]: 86.47/11.66 ( ( ?[X8:$i]: ( ( X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) => 86.47/11.66 ( ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) = ( emptyset ) ) => 86.47/11.66 ( $false ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(upairsetIR, axiom, upairsetIR = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( in @ Xy @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 86.47/11.66 thf('102', plain, 86.47/11.66 (( upairsetIR ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( in @ X6 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(upairsetIL, axiom, upairsetIL = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( in @ Xx @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 86.47/11.66 thf('103', plain, 86.47/11.66 (( upairsetIL ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( in @ X4 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(upairsetE, axiom, upairsetE = 86.47/11.66 (![Xx:$i,Xy:$i,Xz:$i]: 86.47/11.66 ( ( in @ Xz @ ( setadjoin @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ) => 86.47/11.66 ( ( ( Xz ) = ( Xx ) ) | ( ( Xz ) = ( Xy ) ) ) ))). 86.47/11.66 thf('104', plain, 86.47/11.66 (( upairsetE ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( setadjoin @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) => 86.47/11.66 ( ( ( X8 ) = ( X4 ) ) | ( ( X8 ) = ( X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(singletonsswitch, axiom, singletonsswitch = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => 86.47/11.66 ( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ))). 86.47/11.66 thf('105', plain, 86.47/11.66 (( singletonsswitch ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => 86.47/11.66 ( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(eqinunit, axiom, eqinunit = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( Xx ) = ( Xy ) ) => ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) ))). 86.47/11.66 thf('106', plain, 86.47/11.66 (( eqinunit ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) = ( X6 ) ) => ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(notinsingleton, axiom, notinsingleton = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( Xx ) != ( Xy ) ) => ( ~( in @ Xy @ ( setadjoin @ Xx @ emptyset ) ) ) ))). 86.47/11.66 thf('107', plain, 86.47/11.66 (( notinsingleton ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ( X4 ) != ( X6 ) ) => 86.47/11.66 ( ~( in @ X6 @ ( setadjoin @ X4 @ emptyset ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(uniqinunit, axiom, uniqinunit = 86.47/11.66 (![Xx:$i,Xy:$i]: 86.47/11.66 ( ( in @ Xx @ ( setadjoin @ Xy @ emptyset ) ) => ( ( Xx ) = ( Xy ) ) ))). 86.47/11.66 thf('108', plain, 86.47/11.66 (( uniqinunit ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( in @ X4 @ ( setadjoin @ X6 @ emptyset ) ) => ( ( X4 ) = ( X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(nonemptyImpWitness, axiom, nonemptyImpWitness = 86.47/11.66 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 86.47/11.66 thf('109', plain, 86.47/11.66 (( nonemptyImpWitness ) = 86.47/11.66 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuE2, axiom, exuE2 = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 86.47/11.66 ( ?[Xx:$i]: ( ![Xy:$i]: ( ( Xphi @ Xy ) <=> ( ( Xy ) = ( Xx ) ) ) ) ) ))). 86.47/11.66 thf('110', plain, 86.47/11.66 (( exuE2 ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 86.47/11.66 ( ?[X6:$i]: ( ![X8:$i]: ( ( X4 @ X8 ) <=> ( ( X8 ) = ( X6 ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(subPowSU, axiom, subPowSU = 86.47/11.66 (![A:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))). 86.47/11.66 thf('111', plain, 86.47/11.66 (( subPowSU ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setunionE, axiom, setunionE = 86.47/11.66 (![A:$i,Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( setunion @ A ) ) => 86.47/11.66 ( ![Xphi:$o]: 86.47/11.66 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) => 86.47/11.66 ( Xphi ) ) ) ))). 86.47/11.66 thf('112', plain, 86.47/11.66 (( setunionE ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( in @ X6 @ ( setunion @ X4 ) ) => 86.47/11.66 ( ![X8:$o]: 86.47/11.66 ( ( ![X10:$i]: 86.47/11.66 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) => 86.47/11.66 ( X8 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setunionI, axiom, setunionI = 86.47/11.66 (![A:$i,Xx:$i,B:$i]: 86.47/11.66 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))). 86.47/11.66 thf('113', plain, 86.47/11.66 (( setunionI ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X6 @ X8 ) => 86.47/11.66 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(powersetE, axiom, powersetE = 86.47/11.66 (![A:$i,B:$i,Xx:$i]: 86.47/11.66 ( ( in @ B @ ( powerset @ A ) ) => ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ))). 86.47/11.66 thf('114', plain, 86.47/11.66 (( powersetE ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X6 @ ( powerset @ X4 ) ) => 86.47/11.66 ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptyInPowerset, axiom, emptyInPowerset = 86.47/11.66 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 86.47/11.66 thf('115', plain, 86.47/11.66 (( emptyInPowerset ) = 86.47/11.66 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptyinPowerset, axiom, emptyinPowerset = 86.47/11.66 (![A:$i]: ( in @ emptyset @ ( powerset @ A ) ))). 86.47/11.66 thf('116', plain, 86.47/11.66 (( emptyinPowerset ) = 86.47/11.66 ( ![X4:$i]: ( in @ emptyset @ ( powerset @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(powersetI, axiom, powersetI = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 86.47/11.66 ( in @ B @ ( powerset @ A ) ) ))). 86.47/11.66 thf('117', plain, 86.47/11.66 (( powersetI ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) => 86.47/11.66 ( in @ X6 @ ( powerset @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setoftrueEq, axiom, setoftrueEq = 86.47/11.66 (![A:$i]: ( ( dsetconstr @ A @ ( ^[Xx:$i]: ( $true ) ) ) = ( A ) ))). 86.47/11.66 thf('118', plain, 86.47/11.66 (( setoftrueEq ) = 86.47/11.66 ( ![X4:$i]: ( ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( $true ) ) ) = ( X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setadjoinOr, axiom, setadjoinOr = 86.47/11.66 (![Xx:$i,A:$i,Xy:$i]: 86.47/11.66 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 86.47/11.66 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 86.47/11.66 thf('119', plain, 86.47/11.66 (( setadjoinOr ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 86.47/11.66 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setadjoinE, axiom, setadjoinE = 86.47/11.66 (![Xx:$i,A:$i,Xy:$i]: 86.47/11.66 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) => 86.47/11.66 ( ![Xphi:$o]: 86.47/11.66 ( ( ( ( Xy ) = ( Xx ) ) => ( Xphi ) ) => 86.47/11.66 ( ( ( in @ Xy @ A ) => ( Xphi ) ) => ( Xphi ) ) ) ) ))). 86.47/11.66 thf('120', plain, 86.47/11.66 (( setadjoinE ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) => 86.47/11.66 ( ![X10:$o]: 86.47/11.66 ( ( ( ( X8 ) = ( X4 ) ) => ( X10 ) ) => 86.47/11.66 ( ( ( in @ X8 @ X6 ) => ( X10 ) ) => ( X10 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setadjoinIR, axiom, setadjoinIR = 86.47/11.66 (![Xx:$i,A:$i,Xy:$i]: 86.47/11.66 ( ( in @ Xy @ A ) => ( in @ Xy @ ( setadjoin @ Xx @ A ) ) ))). 86.47/11.66 thf('121', plain, 86.47/11.66 (( setadjoinIR ) = 86.47/11.66 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.66 ( ( in @ X8 @ X6 ) => ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptyinunitempty, axiom,(( emptyinunitempty ) = 86.47/11.66 (in @ emptyset @ ( setadjoin @ emptyset @ emptyset )))). 86.47/11.66 thf('122', plain, 86.47/11.66 (( emptyinunitempty ) = 86.47/11.66 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 86.47/11.66 inference('simplify_rw_rule', [status(thm)], [emptyinunitempty])). 86.47/11.66 thf('123', plain, 86.47/11.66 (( emptyinunitempty ) = 86.47/11.66 ( in @ emptyset @ ( setadjoin @ emptyset @ emptyset ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setadjoinIL, axiom, setadjoinIL = 86.47/11.66 (![Xx:$i,Xy:$i]: ( in @ Xx @ ( setadjoin @ Xx @ Xy ) ))). 86.47/11.66 thf('124', plain, 86.47/11.66 (( setadjoinIL ) = 86.47/11.66 ( ![X4:$i,X6:$i]: ( in @ X4 @ ( setadjoin @ X4 @ X6 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(nonemptyI1, axiom, nonemptyI1 = 86.47/11.66 (![A:$i]: ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => ( nonempty @ A ) ))). 86.47/11.66 thf('125', plain, 86.47/11.66 (( nonemptyI1 ) = 86.47/11.66 ( ![X4:$i]: ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => ( nonempty @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(nonemptyI, axiom, nonemptyI = 86.47/11.66 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ( Xphi @ Xx ) => 86.47/11.66 ( nonempty @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 86.47/11.66 thf('126', plain, 86.47/11.66 (( nonemptyI ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( X6 @ X8 ) => 86.47/11.66 ( nonempty @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(nonemptyE1, axiom, nonemptyE1 = 86.47/11.66 (![A:$i]: ( ( nonempty @ A ) => ( ?[Xx:$i]: ( in @ Xx @ A ) ) ))). 86.47/11.66 thf('127', plain, 86.47/11.66 (( nonemptyE1 ) = 86.47/11.66 ( ![X4:$i]: ( ( nonempty @ X4 ) => ( ?[X6:$i]: ( in @ X6 @ X4 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(nonempty, axiom,(( nonempty ) = (^[Xx:$i]: ( ( Xx ) != ( emptyset ) )))). 86.47/11.66 thf('128', plain, (( nonempty ) = ( ^[Xx:$i]: ( ( Xx ) != ( emptyset ) ) )), 86.47/11.66 inference('simplify_rw_rule', [status(thm)], [nonempty])). 86.47/11.66 thf('129', plain, 86.47/11.66 (( nonempty ) = ( ^[V_1:$i]: ( ( V_1 ) != ( emptyset ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setbeta, axiom, setbeta = 86.47/11.66 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) <=> 86.47/11.66 ( Xphi @ Xx ) ) ))). 86.47/11.66 thf('130', plain, 86.47/11.66 (( setbeta ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) <=> 86.47/11.66 ( X6 @ X8 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(noeltsimpempty, axiom, noeltsimpempty = 86.47/11.66 (![A:$i]: 86.47/11.66 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 86.47/11.66 thf('131', plain, 86.47/11.66 (( noeltsimpempty ) = 86.47/11.66 ( ![X4:$i]: 86.47/11.66 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptyI, axiom, emptyI = 86.47/11.66 (![A:$i]: 86.47/11.66 ( ( ![Xx:$i]: ( ~( in @ Xx @ A ) ) ) => ( ( A ) = ( emptyset ) ) ))). 86.47/11.66 thf('132', plain, 86.47/11.66 (( emptyI ) = 86.47/11.66 ( ![X4:$i]: 86.47/11.66 ( ( ![X6:$i]: ( ~( in @ X6 @ X4 ) ) ) => ( ( X4 ) = ( emptyset ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(setext, axiom, setext = 86.47/11.66 (![A:$i,B:$i]: 86.47/11.66 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) => ( in @ Xx @ B ) ) ) => 86.47/11.66 ( ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) => 86.47/11.66 ( ( A ) = ( B ) ) ) ))). 86.47/11.66 thf('133', plain, 86.47/11.66 (( setext ) = 86.47/11.66 ( ![X4:$i,X6:$i]: 86.47/11.66 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) => ( in @ X8 @ X6 ) ) ) => 86.47/11.66 ( ( ![X10:$i]: ( ( in @ X10 @ X6 ) => ( in @ X10 @ X4 ) ) ) => 86.47/11.66 ( ( X4 ) = ( X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuE3e, axiom, exuE3e = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => ( ?[Xx:$i]: ( Xphi @ Xx ) ) ))). 86.47/11.66 thf('134', plain, 86.47/11.66 (( exuE3e ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => ( ?[X6:$i]: ( X4 @ X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(notinemptyset, axiom, notinemptyset = 86.47/11.66 (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 86.47/11.66 thf('135', plain, 86.47/11.66 (( notinemptyset ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptysetimpfalse, axiom, emptysetimpfalse = 86.47/11.66 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( $false ) ))). 86.47/11.66 thf('136', plain, 86.47/11.66 (( emptysetimpfalse ) = 86.47/11.66 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( $false ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(emptysetE, axiom, emptysetE = 86.47/11.66 (![Xx:$i]: ( ( in @ Xx @ emptyset ) => ( ![Xphi:$o]: ( Xphi ) ) ))). 86.47/11.66 thf('137', plain, 86.47/11.66 (( emptysetE ) = 86.47/11.66 ( ![X4:$i]: ( ( in @ X4 @ emptyset ) => ( ![X6:$o]: ( X6 ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(prop2setE, axiom, prop2setE = 86.47/11.66 (![Xphi:$o,Xx:$i]: ( ( in @ Xx @ ( prop2set @ Xphi ) ) => ( Xphi ) ))). 86.47/11.66 thf('138', plain, 86.47/11.66 (( prop2setE ) = 86.47/11.66 ( ![X4:$o,X6:$i]: ( ( in @ X6 @ ( prop2set @ X4 ) ) => ( X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(exuE1, axiom, exuE1 = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 86.47/11.66 ( ?[Xx:$i]: 86.47/11.66 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 86.47/11.66 ( Xphi @ Xx ) ) ) ))). 86.47/11.66 thf('139', plain, 86.47/11.66 (( exuE1 ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 86.47/11.66 ( ?[X6:$i]: 86.47/11.66 ( ( ![X8:$i]: ( ( X4 @ X8 ) => ( ( X6 ) = ( X8 ) ) ) ) & 86.47/11.66 ( X4 @ X6 ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(dsetconstrER, axiom, dsetconstrER = 86.47/11.66 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 86.47/11.66 ( Xphi @ Xx ) ))). 86.47/11.66 thf('140', plain, 86.47/11.66 (( dsetconstrER ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 86.47/11.66 ( X6 @ X8 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(dsetconstrEL, axiom, dsetconstrEL = 86.47/11.66 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 86.47/11.66 ( ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) => 86.47/11.66 ( in @ Xx @ A ) ))). 86.47/11.66 thf('141', plain, 86.47/11.66 (( dsetconstrEL ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 86.47/11.66 ( ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) => 86.47/11.66 ( in @ X8 @ X4 ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(dsetconstrI, axiom, dsetconstrI = 86.47/11.66 (![A:$i,Xphi:( $i > $o ),Xx:$i]: 86.47/11.66 ( ( in @ Xx @ A ) => 86.47/11.66 ( ( Xphi @ Xx ) => 86.47/11.66 ( in @ Xx @ ( dsetconstr @ A @ ( ^[Xy:$i]: ( Xphi @ Xy ) ) ) ) ) ))). 86.47/11.66 thf('142', plain, 86.47/11.66 (( dsetconstrI ) = 86.47/11.66 ( ![X4:$i,X6:( $i > $o ),X8:$i]: 86.47/11.66 ( ( in @ X8 @ X4 ) => 86.47/11.66 ( ( X6 @ X8 ) => 86.47/11.66 ( in @ X8 @ ( dsetconstr @ X4 @ ( ^[V_1:$i]: ( X6 @ V_1 ) ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(descrp, axiom, descrp = 86.47/11.66 (![Xphi:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) => 86.47/11.66 ( Xphi @ ( descr @ ( ^[Xx:$i]: ( Xphi @ Xx ) ) ) ) ))). 86.47/11.66 thf('143', plain, 86.47/11.66 (( descrp ) = 86.47/11.66 ( ![X4:( $i > $o )]: 86.47/11.66 ( ( exu @ ( ^[V_1:$i]: ( X4 @ V_1 ) ) ) => 86.47/11.66 ( X4 @ ( descr @ ( ^[V_2:$i]: ( X4 @ V_2 ) ) ) ) ) )), 86.47/11.66 define([status(thm)])). 86.47/11.66 thf(wellorderingAx, axiom, wellorderingAx = 86.47/11.66 (![A:$i]: 86.47/11.66 ( ?[B:$i]: 86.47/11.66 ( ( ![C:$i]: 86.47/11.66 ( ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) & 86.47/11.66 ( ?[Xx:$i]: ( in @ Xx @ C ) ) ) => 86.47/11.66 ( ?[D:$i,Xx:$i]: 86.47/11.66 ( ( ![E:$i]: 86.47/11.66 ( ( in @ E @ B ) => 86.47/11.66 ( ( ![Xy:$i]: ( ( in @ Xy @ E ) => ( in @ Xy @ D ) ) ) | 86.47/11.66 ( in @ Xx @ E ) ) ) ) & 86.47/11.66 ( ~( ?[Xy:$i]: ( ( in @ Xy @ C ) & ( in @ Xy @ D ) ) ) ) & 86.47/11.66 ( in @ Xx @ C ) & ( in @ D @ B ) ) ) ) ) & 86.47/11.66 ( ![C:$i,D:$i]: 86.47/11.66 ( ( ( in @ C @ B ) & ( in @ D @ B ) ) => 86.47/11.66 ( ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ D ) ) ) | 86.47/11.66 ( ![Xx:$i]: ( ( in @ Xx @ D ) => ( in @ Xx @ C ) ) ) ) ) ) & 86.47/11.66 ( ![Xx:$i,Xy:$i]: 86.47/11.66 ( ( ( in @ Xx @ A ) & ( in @ Xy @ A ) ) => 86.47/11.66 ( ( ![C:$i]: 86.47/11.66 ( ( in @ C @ B ) => ( ( in @ Xx @ C ) <=> ( in @ Xy @ C ) ) ) ) => 86.47/11.66 ( ( Xx ) = ( Xy ) ) ) ) ) & 86.47/11.66 ( ![C:$i]: 86.47/11.67 ( ( in @ C @ B ) => 86.47/11.67 ( ![Xx:$i]: ( ( in @ Xx @ C ) => ( in @ Xx @ A ) ) ) ) ) ) ))). 86.47/11.67 thf('144', plain, 86.47/11.67 (( wellorderingAx ) = 86.47/11.67 ( ![X4:$i]: 86.47/11.67 ( ?[X6:$i]: 86.47/11.67 ( ( ![X8:$i]: 86.47/11.67 ( ( ( ![X10:$i]: ( ( in @ X10 @ X8 ) => ( in @ X10 @ X4 ) ) ) & 86.47/11.67 ( ?[X12:$i]: ( in @ X12 @ X8 ) ) ) => 86.47/11.67 ( ?[X14:$i,X16:$i]: 86.47/11.67 ( ( ![X18:$i]: 86.47/11.67 ( ( in @ X18 @ X6 ) => 86.47/11.67 ( ( ![X20:$i]: 86.47/11.67 ( ( in @ X20 @ X18 ) => ( in @ X20 @ X14 ) ) ) | 86.47/11.67 ( in @ X16 @ X18 ) ) ) ) & 86.47/11.67 ( ~( ?[X22:$i]: ( ( in @ X22 @ X8 ) & ( in @ X22 @ X14 ) ) ) ) & 86.47/11.67 ( in @ X16 @ X8 ) & ( in @ X14 @ X6 ) ) ) ) ) & 86.47/11.67 ( ![X24:$i,X26:$i]: 86.47/11.67 ( ( ( in @ X24 @ X6 ) & ( in @ X26 @ X6 ) ) => 86.47/11.67 ( ( ![X28:$i]: ( ( in @ X28 @ X24 ) => ( in @ X28 @ X26 ) ) ) | 86.47/11.67 ( ![X30:$i]: ( ( in @ X30 @ X26 ) => ( in @ X30 @ X24 ) ) ) ) ) ) & 86.47/11.67 ( ![X32:$i,X34:$i]: 86.47/11.67 ( ( ( in @ X32 @ X4 ) & ( in @ X34 @ X4 ) ) => 86.47/11.67 ( ( ![X36:$i]: 86.47/11.67 ( ( in @ X36 @ X6 ) => 86.47/11.67 ( ( in @ X32 @ X36 ) <=> ( in @ X34 @ X36 ) ) ) ) => 86.47/11.67 ( ( X32 ) = ( X34 ) ) ) ) ) & 86.47/11.67 ( ![X38:$i]: 86.47/11.67 ( ( in @ X38 @ X6 ) => 86.47/11.67 ( ![X40:$i]: ( ( in @ X40 @ X38 ) => ( in @ X40 @ X4 ) ) ) ) ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(foundationAx, axiom, foundationAx = 86.47/11.67 (![A:$i]: 86.47/11.67 ( ( ?[Xx:$i]: ( in @ Xx @ A ) ) => 86.47/11.67 ( ?[B:$i]: 86.47/11.67 ( ( ~( ?[Xx:$i]: ( ( in @ Xx @ A ) & ( in @ Xx @ B ) ) ) ) & 86.47/11.67 ( in @ B @ A ) ) ) ))). 86.47/11.67 thf('145', plain, 86.47/11.67 (( foundationAx ) = 86.47/11.67 ( ![X4:$i]: 86.47/11.67 ( ( ?[X6:$i]: ( in @ X6 @ X4 ) ) => 86.47/11.67 ( ?[X8:$i]: 86.47/11.67 ( ( ~( ?[X10:$i]: ( ( in @ X10 @ X4 ) & ( in @ X10 @ X8 ) ) ) ) & 86.47/11.67 ( in @ X8 @ X4 ) ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(replAx, axiom, replAx = 86.47/11.67 (![Xphi:( $i > $i > $o ),A:$i]: 86.47/11.67 ( ( ![Xx:$i]: 86.47/11.67 ( ( in @ Xx @ A ) => ( exu @ ( ^[Xy:$i]: ( Xphi @ Xx @ Xy ) ) ) ) ) => 86.47/11.67 ( ?[B:$i]: 86.47/11.67 ( ![Xx:$i]: 86.47/11.67 ( ( in @ Xx @ B ) <=> 86.47/11.67 ( ?[Xy:$i]: ( ( Xphi @ Xy @ Xx ) & ( in @ Xy @ A ) ) ) ) ) ) ))). 86.47/11.67 thf('146', plain, 86.47/11.67 (( replAx ) = 86.47/11.67 ( ![X4:( $i > $i > $o ),X6:$i]: 86.47/11.67 ( ( ![X8:$i]: 86.47/11.67 ( ( in @ X8 @ X6 ) => ( exu @ ( ^[V_1:$i]: ( X4 @ X8 @ V_1 ) ) ) ) ) => 86.47/11.67 ( ?[X10:$i]: 86.47/11.67 ( ![X12:$i]: 86.47/11.67 ( ( in @ X12 @ X10 ) <=> 86.47/11.67 ( ?[X14:$i]: ( ( X4 @ X14 @ X12 ) & ( in @ X14 @ X6 ) ) ) ) ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(omegaIndAx, axiom, omegaIndAx = 86.47/11.67 (![A:$i]: 86.47/11.67 ( ( ( in @ emptyset @ A ) & 86.47/11.67 ( ![Xx:$i]: 86.47/11.67 ( ( ( in @ Xx @ omega ) & ( in @ Xx @ A ) ) => 86.47/11.67 ( in @ ( setadjoin @ Xx @ Xx ) @ A ) ) ) ) => 86.47/11.67 ( ![Xx:$i]: ( ( in @ Xx @ omega ) => ( in @ Xx @ A ) ) ) ))). 86.47/11.67 thf('147', plain, 86.47/11.67 (( omegaIndAx ) = 86.47/11.67 ( ![X4:$i]: 86.47/11.67 ( ( ( in @ emptyset @ X4 ) & 86.47/11.67 ( ![X6:$i]: 86.47/11.67 ( ( ( in @ X6 @ omega ) & ( in @ X6 @ X4 ) ) => 86.47/11.67 ( in @ ( setadjoin @ X6 @ X6 ) @ X4 ) ) ) ) => 86.47/11.67 ( ![X8:$i]: ( ( in @ X8 @ omega ) => ( in @ X8 @ X4 ) ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(omegaSAx, axiom, omegaSAx = 86.47/11.67 (![Xx:$i]: 86.47/11.67 ( ( in @ Xx @ omega ) => ( in @ ( setadjoin @ Xx @ Xx ) @ omega ) ))). 86.47/11.67 thf('148', plain, 86.47/11.67 (( omegaSAx ) = 86.47/11.67 ( ![X4:$i]: 86.47/11.67 ( ( in @ X4 @ omega ) => ( in @ ( setadjoin @ X4 @ X4 ) @ omega ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(omega0Ax, axiom,(( omega0Ax ) = (in @ emptyset @ omega))). 86.47/11.67 thf('149', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 86.47/11.67 inference('simplify_rw_rule', [status(thm)], [omega0Ax])). 86.47/11.67 thf('150', plain, (( omega0Ax ) = ( in @ emptyset @ omega )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(setunionAx, axiom, setunionAx = 86.47/11.67 (![A:$i,Xx:$i]: 86.47/11.67 ( ( in @ Xx @ ( setunion @ A ) ) <=> 86.47/11.67 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))). 86.47/11.67 thf('151', plain, 86.47/11.67 (( setunionAx ) = 86.47/11.67 ( ![X4:$i,X6:$i]: 86.47/11.67 ( ( in @ X6 @ ( setunion @ X4 ) ) <=> 86.47/11.67 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(powersetAx, axiom, powersetAx = 86.47/11.67 (![A:$i,B:$i]: 86.47/11.67 ( ( in @ B @ ( powerset @ A ) ) <=> 86.47/11.67 ( ![Xx:$i]: ( ( in @ Xx @ B ) => ( in @ Xx @ A ) ) ) ))). 86.47/11.67 thf('152', plain, 86.47/11.67 (( powersetAx ) = 86.47/11.67 ( ![X4:$i,X6:$i]: 86.47/11.67 ( ( in @ X6 @ ( powerset @ X4 ) ) <=> 86.47/11.67 ( ![X8:$i]: ( ( in @ X8 @ X6 ) => ( in @ X8 @ X4 ) ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(setadjoinAx, axiom, setadjoinAx = 86.47/11.67 (![Xx:$i,A:$i,Xy:$i]: 86.47/11.67 ( ( in @ Xy @ ( setadjoin @ Xx @ A ) ) <=> 86.47/11.67 ( ( ( Xy ) = ( Xx ) ) | ( in @ Xy @ A ) ) ))). 86.47/11.67 thf('153', plain, 86.47/11.67 (( setadjoinAx ) = 86.47/11.67 ( ![X4:$i,X6:$i,X8:$i]: 86.47/11.67 ( ( in @ X8 @ ( setadjoin @ X4 @ X6 ) ) <=> 86.47/11.67 ( ( ( X8 ) = ( X4 ) ) | ( in @ X8 @ X6 ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(emptysetAx, axiom, emptysetAx = (![Xx:$i]: ( ~( in @ Xx @ emptyset ) ))). 86.47/11.67 thf('154', plain, 86.47/11.67 (( emptysetAx ) = ( ![X4:$i]: ( ~( in @ X4 @ emptyset ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(setextAx, axiom, setextAx = 86.47/11.67 (![A:$i,B:$i]: 86.47/11.67 ( ( ![Xx:$i]: ( ( in @ Xx @ A ) <=> ( in @ Xx @ B ) ) ) => 86.47/11.67 ( ( A ) = ( B ) ) ))). 86.47/11.67 thf('155', plain, 86.47/11.67 (( setextAx ) = 86.47/11.67 ( ![X4:$i,X6:$i]: 86.47/11.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 86.47/11.67 ( ( X4 ) = ( X6 ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(exu, axiom,(( exu ) = 86.47/11.67 (^[Xphi:( $i > $o )]: 86.47/11.67 ( ?[Xx:$i]: 86.47/11.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & ( Xphi @ Xx ) ) )))). 86.47/11.67 thf('156', plain, 86.47/11.67 (( exu ) = 86.47/11.67 ( ^[Xphi:( $i > $o )]: 86.47/11.67 ( ?[Xx:$i]: 86.47/11.67 ( ( ![Xy:$i]: ( ( Xphi @ Xy ) => ( ( Xx ) = ( Xy ) ) ) ) & 86.47/11.67 ( Xphi @ Xx ) ) ) )), 86.47/11.67 inference('simplify_rw_rule', [status(thm)], [exu])). 86.47/11.67 thf('157', plain, 86.47/11.67 (( exu ) = 86.47/11.67 ( ^[V_1:( $i > $o )]: 86.47/11.67 ( ?[X4:$i]: 86.47/11.67 ( ( ![X6:$i]: ( ( V_1 @ X6 ) => ( ( X4 ) = ( X6 ) ) ) ) & 86.47/11.67 ( V_1 @ X4 ) ) ) )), 86.47/11.67 define([status(thm)])). 86.47/11.67 thf(cartprodpairin, conjecture, 86.47/11.67 (( setextAx ) => 86.47/11.67 ( ( emptysetAx ) => 86.47/11.67 ( ( setadjoinAx ) => 86.47/11.67 ( ( powersetAx ) => 86.47/11.67 ( ( setunionAx ) => 86.47/11.67 ( ( omega0Ax ) => 86.47/11.67 ( ( omegaSAx ) => 86.47/11.67 ( ( omegaIndAx ) => 86.47/11.67 ( ( replAx ) => 86.47/11.67 ( ( foundationAx ) => 86.47/11.67 ( ( wellorderingAx ) => 86.47/11.67 ( ( descrp ) => 86.47/11.67 ( ( dsetconstrI ) => 86.47/11.67 ( ( dsetconstrEL ) => 86.47/11.67 ( ( dsetconstrER ) => 86.47/11.67 ( ( exuE1 ) => 86.47/11.67 ( ( prop2setE ) => 86.47/11.67 ( ( emptysetE ) => 86.47/11.67 ( ( emptysetimpfalse ) => 86.47/11.67 ( ( notinemptyset ) => 86.47/11.67 ( ( exuE3e ) => 86.47/11.67 ( ( setext ) => 86.47/11.67 ( ( emptyI ) => 86.47/11.67 ( ( noeltsimpempty ) => 86.47/11.67 ( ( setbeta ) => 86.47/11.67 ( ( nonemptyE1 ) => 86.47/11.67 ( ( nonemptyI ) => 86.47/11.67 ( ( nonemptyI1 ) => 86.47/11.67 ( ( setadjoinIL ) => 86.47/11.67 ( ( emptyinunitempty ) => 86.47/11.67 ( ( setadjoinIR ) => 86.47/11.67 ( ( setadjoinE ) => 86.47/11.67 ( ( 86.47/11.67 setadjoinOr ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setoftrueEq ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powersetI ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 emptyinPowerset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 emptyInPowerset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powersetE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setunionI ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setunionE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subPowSU ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 exuE2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 nonemptyImpWitness ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 uniqinunit ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 notinsingleton ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 eqinunit ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 singletonsswitch ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 upairsetE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 upairsetIL ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 upairsetIR ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 emptyE1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 vacuousDall ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 quantDeMorgan1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 quantDeMorgan2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 quantDeMorgan3 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 quantDeMorgan4 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 prop2setI ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 prop2set2propI ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 notdexE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 notdallE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 exuI1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 exuI3 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 exuI2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 inCongP ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 exuE3u ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 exu__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 emptyset__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setadjoin__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powerset__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setunion__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 omega__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 exuEu ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 descr__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 dsetconstr__Cong ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subsetI1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 eqimpsubset2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 eqimpsubset1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subsetI2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 emptysetsubset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subsetE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subsetE2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 notsubsetI ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 notequalI1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 notequalI2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subsetRefl ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subsetTrans ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setadjoinSub ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setadjoinSub2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset2powerset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setextsub ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subsetemptysetimpeq ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powersetI1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powersetE1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 inPowerset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powersetsubset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 sepInPowerset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 sepSubset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binunionIL ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 upairset2IR ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binunionIR ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binunionEcases ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binunionE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binunionLsub ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binunionRsub ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectI ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectSubset5 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectEL ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectLsub ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectSubset2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectSubset3 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectER ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 disjointsetsI1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectRsub ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectSubset4 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersectSubset1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 bs114d ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusI ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusEL ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusER ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusSubset2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusERneg ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusELneg ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusILneg ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusIRneg ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusLsub ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminusSubset1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 symdiffE ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 symdiffI1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 symdiffI2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 symdiffIneg1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 symdiffIneg2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 secondinupair ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setukpairIL ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setukpairIR ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 kpairiskpair ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 kpairp ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 singletonsubset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 singletoninpowerset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 singletoninpowunion ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 upairset2E ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 upairsubunion ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 upairinpowunion ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ubforcartprodlem1 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ubforcartprodlem2 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ubforcartprodlem3 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 A:$i,B:$i, 86.47/11.67 Xx:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 Xx @ A ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 Xy:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 Xy @ B ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 kpair @ 86.47/11.67 Xx @ Xy ) @ 86.47/11.67 ( 86.47/11.67 cartprod @ 86.47/11.67 A @ B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 86.47/11.67 thf(zf_stmt_0, conjecture, 86.47/11.67 (( ![X4:$i,X6:$i]: 86.47/11.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 86.47/11.67 ( ( X4 ) = ( X6 ) ) ) ) => 86.47/11.67 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 86.47/11.67 ( ( ![X12:$i,X14:$i,X16:$i]: 86.47/11.67 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 86.47/11.67 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 86.47/11.67 ( ( ![X18:$i,X20:$i]: 86.47/11.67 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 86.47/11.67 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 86.47/11.67 ( ( ![X24:$i,X26:$i]: 86.47/11.67 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 86.47/11.67 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 86.47/11.67 ( ( in @ emptyset @ omega ) => 86.47/11.67 ( ( ![X30:$i]: 86.47/11.67 ( ( in @ X30 @ omega ) => 86.47/11.67 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 86.47/11.67 ( ( ![X32:$i]: 86.47/11.67 ( ( ( ![X34:$i]: 86.47/11.67 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 86.47/11.67 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 86.47/11.67 ( in @ emptyset @ X32 ) ) => 86.47/11.67 ( ![X36:$i]: 86.47/11.67 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 86.47/11.67 ( ( ![X38:( $i > $i > $o ),X40:$i]: 86.47/11.67 ( ( ![X42:$i]: 86.47/11.67 ( ( in @ X42 @ X40 ) => 86.47/11.67 ( ?[X44:$i]: 86.47/11.67 ( ( X38 @ X42 @ X44 ) & 86.47/11.67 ( ![X46:$i]: 86.47/11.67 ( ( X38 @ X42 @ X46 ) => 86.47/11.67 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ?[X48:$i]: 86.47/11.67 ( ![X50:$i]: 86.47/11.67 ( ( in @ X50 @ X48 ) <=> 86.47/11.67 ( ?[X52:$i]: 86.47/11.67 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X54:$i]: 86.47/11.67 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 86.47/11.67 ( ?[X58:$i]: 86.47/11.67 ( ( in @ X58 @ X54 ) & 86.47/11.67 ( ~( ?[X60:$i]: 86.47/11.67 ( ( in @ X60 @ X58 ) & ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X62:$i]: 86.47/11.67 ( ?[X64:$i]: 86.47/11.67 ( ( ![X96:$i]: 86.47/11.67 ( ( in @ X96 @ X64 ) => 86.47/11.67 ( ![X98:$i]: 86.47/11.67 ( ( in @ X98 @ X96 ) => ( in @ X98 @ X62 ) ) ) ) ) & 86.47/11.67 ( ![X90:$i,X92:$i]: 86.47/11.67 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 86.47/11.67 ( ( ![X94:$i]: 86.47/11.67 ( ( in @ X94 @ X64 ) => 86.47/11.67 ( ( in @ X90 @ X94 ) <=> 86.47/11.67 ( in @ X92 @ X94 ) ) ) ) => 86.47/11.67 ( ( X90 ) = ( X92 ) ) ) ) ) & 86.47/11.67 ( ![X82:$i,X84:$i]: 86.47/11.67 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 86.47/11.67 ( ( ![X88:$i]: 86.47/11.67 ( ( in @ X88 @ X84 ) => 86.47/11.67 ( in @ X88 @ X82 ) ) ) | 86.47/11.67 ( ![X86:$i]: 86.47/11.67 ( ( in @ X86 @ X82 ) => 86.47/11.67 ( in @ X86 @ X84 ) ) ) ) ) ) & 86.47/11.67 ( ![X66:$i]: 86.47/11.67 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 86.47/11.67 ( ![X68:$i]: 86.47/11.67 ( ( in @ X68 @ X66 ) => 86.47/11.67 ( in @ X68 @ X62 ) ) ) ) => 86.47/11.67 ( ?[X72:$i,X74:$i]: 86.47/11.67 ( ( in @ X72 @ X64 ) & 86.47/11.67 ( in @ X74 @ X66 ) & 86.47/11.67 ( ~( ?[X80:$i]: 86.47/11.67 ( ( in @ X80 @ X72 ) & 86.47/11.67 ( in @ X80 @ X66 ) ) ) ) & 86.47/11.67 ( ![X76:$i]: 86.47/11.67 ( ( in @ X76 @ X64 ) => 86.47/11.67 ( ( in @ X74 @ X76 ) | 86.47/11.67 ( ![X78:$i]: 86.47/11.67 ( ( in @ X78 @ X76 ) => 86.47/11.67 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X100:( $i > $o )]: 86.47/11.67 ( ( ?[X102:$i]: 86.47/11.67 ( ( X100 @ X102 ) & 86.47/11.67 ( ![X104:$i]: 86.47/11.67 ( ( X100 @ X104 ) => 86.47/11.67 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 86.47/11.67 ( X100 @ 86.47/11.67 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 86.47/11.67 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 86.47/11.67 ( ( in @ X110 @ X106 ) => 86.47/11.67 ( ( X108 @ X110 ) => 86.47/11.67 ( in @ 86.47/11.67 X110 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 86.47/11.67 ( ( in @ 86.47/11.67 X116 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 86.47/11.67 ( in @ X116 @ X112 ) ) ) => 86.47/11.67 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 86.47/11.67 ( ( in @ 86.47/11.67 X122 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X118 @ ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 86.47/11.67 ( X120 @ X122 ) ) ) => 86.47/11.67 ( ( ![X124:( $i > $o )]: 86.47/11.67 ( ( ?[X126:$i]: 86.47/11.67 ( ( X124 @ X126 ) & 86.47/11.67 ( ![X128:$i]: 86.47/11.67 ( ( X124 @ X128 ) => 86.47/11.67 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 86.47/11.67 ( ?[X130:$i]: 86.47/11.67 ( ( X124 @ X130 ) & 86.47/11.67 ( ![X132:$i]: 86.47/11.67 ( ( X124 @ X132 ) => 86.47/11.67 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X134:$o,X136:$i]: 86.47/11.67 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 86.47/11.67 ( X134 ) ) ) => 86.47/11.67 ( ( ![X138:$i]: 86.47/11.67 ( ( in @ X138 @ emptyset ) => 86.47/11.67 ( ![X140:$o]: ( X140 ) ) ) ) => 86.47/11.67 ( ( ![X142:$i]: 86.47/11.67 ( ~( in @ X142 @ emptyset ) ) ) => 86.47/11.67 ( ( ![X144:$i]: 86.47/11.67 ( ~( in @ X144 @ emptyset ) ) ) => 86.47/11.67 ( ( ![X146:( $i > $o )]: 86.47/11.67 ( ( ?[X148:$i]: 86.47/11.67 ( ( X146 @ X148 ) & 86.47/11.67 ( ![X150:$i]: 86.47/11.67 ( ( X146 @ X150 ) => 86.47/11.67 ( ( X148 ) = ( X150 ) ) ) ) ) ) => 86.47/11.67 ( ?[X152:$i]: ( X146 @ X152 ) ) ) ) => 86.47/11.67 ( ( ![X154:$i,X156:$i]: 86.47/11.67 ( ( ![X158:$i]: 86.47/11.67 ( ( in @ X158 @ X154 ) => 86.47/11.67 ( in @ X158 @ X156 ) ) ) => 86.47/11.67 ( ( ![X160:$i]: 86.47/11.67 ( ( in @ X160 @ X156 ) => 86.47/11.67 ( in @ X160 @ X154 ) ) ) => 86.47/11.67 ( ( X154 ) = ( X156 ) ) ) ) ) => 86.47/11.67 ( ( ![X162:$i]: 86.47/11.67 ( ( ![X164:$i]: 86.47/11.67 ( ~( in @ X164 @ X162 ) ) ) => 86.47/11.67 ( ( X162 ) = ( emptyset ) ) ) ) => 86.47/11.67 ( ( ![X166:$i]: 86.47/11.67 ( ( ![X168:$i]: 86.47/11.67 ( ~( in @ X168 @ X166 ) ) ) => 86.47/11.67 ( ( X166 ) = 86.47/11.67 ( emptyset ) ) ) ) => 86.47/11.67 ( ( ![X170:$i, 86.47/11.67 X172:( $i > $o ), 86.47/11.67 X174:$i]: 86.47/11.67 ( ( in @ X174 @ X170 ) => 86.47/11.67 ( ( in @ 86.47/11.67 X174 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X170 @ 86.47/11.67 ( ^[V_5:$i]: 86.47/11.67 ( X172 @ V_5 ) ) ) ) <=> 86.47/11.67 ( X172 @ X174 ) ) ) ) => 86.47/11.67 ( ( ![X176:$i]: 86.47/11.67 ( ( ( X176 ) != 86.47/11.67 ( emptyset ) ) => 86.47/11.67 ( ?[X178:$i]: 86.47/11.67 ( in @ X178 @ X176 ) ) ) ) => 86.47/11.67 ( ( ![X180:$i, 86.47/11.67 X182:( $i > $o ), 86.47/11.67 X184:$i]: 86.47/11.67 ( ( in @ X184 @ X180 ) => 86.47/11.67 ( ( X182 @ X184 ) => 86.47/11.67 ( ( dsetconstr @ 86.47/11.67 X180 @ 86.47/11.67 ( ^[ 86.47/11.67 V_6:$i]: 86.47/11.67 ( 86.47/11.67 X182 @ V_6 ) ) ) != 86.47/11.67 ( emptyset ) ) ) ) ) => 86.47/11.67 ( ( ![X186:$i]: 86.47/11.67 ( ( ?[X188:$i]: 86.47/11.67 ( in @ 86.47/11.67 X188 @ X186 ) ) => 86.47/11.67 ( ( X186 ) != 86.47/11.67 ( emptyset ) ) ) ) => 86.47/11.67 ( ( ![X190:$i, 86.47/11.67 X192:$i]: 86.47/11.67 ( in @ 86.47/11.67 X190 @ 86.47/11.67 ( setadjoin @ 86.47/11.67 X190 @ X192 ) ) ) => 86.47/11.67 ( ( in @ 86.47/11.67 emptyset @ 86.47/11.67 ( setadjoin @ 86.47/11.67 emptyset @ 86.47/11.67 emptyset ) ) => 86.47/11.67 ( ( ![X194:$i, 86.47/11.67 X196:$i, 86.47/11.67 X198:$i]: 86.47/11.67 ( ( 86.47/11.67 in @ 86.47/11.67 X198 @ 86.47/11.67 X196 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X198 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X194 @ 86.47/11.67 X196 ) ) ) ) => 86.47/11.67 ( ( ![ 86.47/11.67 X200:$i, 86.47/11.67 X202:$i, 86.47/11.67 X204:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X204 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X200 @ 86.47/11.67 X202 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X206:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X204 ) = 86.47/11.67 ( 86.47/11.67 X200 ) ) => 86.47/11.67 ( 86.47/11.67 X206 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X204 @ 86.47/11.67 X202 ) => 86.47/11.67 ( 86.47/11.67 X206 ) ) => 86.47/11.67 ( 86.47/11.67 X206 ) ) ) ) ) ) => 86.47/11.67 ( ( 86.47/11.67 ![ 86.47/11.67 X208:$i, 86.47/11.67 X210:$i, 86.47/11.67 X212:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X212 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X208 @ 86.47/11.67 X210 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X212 @ 86.47/11.67 X210 ) | 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X212 ) = 86.47/11.67 ( 86.47/11.67 X208 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X214:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X214 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_7:$i]: 86.47/11.67 ( 86.47/11.67 $true ) ) ) = 86.47/11.67 ( 86.47/11.67 X214 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X216:$i, 86.47/11.67 X218:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X220:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X220 @ 86.47/11.67 X218 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X220 @ 86.47/11.67 X216 ) ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X218 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X216 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X222:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 emptyset @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X222 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X224:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 emptyset @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X224 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X226:$i, 86.47/11.67 X228:$i, 86.47/11.67 X230:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X228 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X226 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X230 @ 86.47/11.67 X228 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X230 @ 86.47/11.67 X226 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X232:$i, 86.47/11.67 X234:$i, 86.47/11.67 X236:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X234 @ 86.47/11.67 X236 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X236 @ 86.47/11.67 X232 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X234 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 X232 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X238:$i, 86.47/11.67 X240:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X240 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 X238 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X242:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X244:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X240 @ 86.47/11.67 X244 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X244 @ 86.47/11.67 X238 ) => 86.47/11.67 ( 86.47/11.67 X242 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 X242 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X246:$i, 86.47/11.67 X248:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X248 @ 86.47/11.67 X246 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X248 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 X246 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X250:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X252:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X250 @ 86.47/11.67 X252 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X254:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X250 @ 86.47/11.67 X254 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X252 ) = 86.47/11.67 ( 86.47/11.67 X254 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X256:$i]: 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X258:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X250 @ 86.47/11.67 X258 ) <=> 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X258 ) = 86.47/11.67 ( 86.47/11.67 X256 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X260:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X260 ) != 86.47/11.67 ( 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X262:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X262 @ 86.47/11.67 X260 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X264:$i, 86.47/11.67 X266:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X264 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X266 @ 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X264 ) = 86.47/11.67 ( 86.47/11.67 X266 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X268:$i, 86.47/11.67 X270:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X268 ) != 86.47/11.67 ( 86.47/11.67 X270 ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X270 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X268 @ 86.47/11.67 emptyset ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X272:$i, 86.47/11.67 X274:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X272 ) = 86.47/11.67 ( 86.47/11.67 X274 ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X272 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X274 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X276:$i, 86.47/11.67 X278:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X276 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X278 @ 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X278 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X276 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X280:$i, 86.47/11.67 X282:$i, 86.47/11.67 X284:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X284 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X280 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X282 @ 86.47/11.67 emptyset ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X284 ) = 86.47/11.67 ( 86.47/11.67 X282 ) ) | 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X284 ) = 86.47/11.67 ( 86.47/11.67 X280 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X286:$i, 86.47/11.67 X288:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X286 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X286 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X288 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X290:$i, 86.47/11.67 X292:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X292 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X290 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X292 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X294:$i, 86.47/11.67 X296:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X298:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X298 @ 86.47/11.67 X294 ) & 86.47/11.67 ( 86.47/11.67 X296 @ 86.47/11.67 X298 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X294 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_8:$i]: 86.47/11.67 ( 86.47/11.67 X296 @ V_8 ) ) ) != 86.47/11.67 ( 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X300:( 86.47/11.67 $i > $o ), 86.47/11.67 X302:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X302 @ 86.47/11.67 emptyset ) => 86.47/11.67 ( 86.47/11.67 X300 @ 86.47/11.67 X302 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X304:$i, 86.47/11.67 X306:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 ![ 86.47/11.67 X308:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X308 @ 86.47/11.67 X304 ) => 86.47/11.67 ( 86.47/11.67 X306 @ 86.47/11.67 X308 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X310:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X310 @ 86.47/11.67 X304 ) & 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 X306 @ 86.47/11.67 X310 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X312:$i, 86.47/11.67 X314:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X316:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X316 @ 86.47/11.67 X312 ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 X314 @ 86.47/11.67 X316 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 ?[ 86.47/11.67 X318:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X318 @ 86.47/11.67 X312 ) & 86.47/11.67 ( 86.47/11.67 X314 @ 86.47/11.67 X318 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X320:$i, 86.47/11.67 X322:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 ?[ 86.47/11.67 X324:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X324 @ 86.47/11.67 X320 ) & 86.47/11.67 ( 86.47/11.67 X322 @ 86.47/11.67 X324 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X326:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X326 @ 86.47/11.67 X320 ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 X322 @ 86.47/11.67 X326 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X328:$i, 86.47/11.67 X330:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X332:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X332 @ 86.47/11.67 X328 ) & 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 X330 @ 86.47/11.67 X332 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 ![ 86.47/11.67 X334:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X334 @ 86.47/11.67 X328 ) => 86.47/11.67 ( 86.47/11.67 X330 @ 86.47/11.67 X334 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X336:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X336 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 emptyset @ 86.47/11.67 ( 86.47/11.67 prop2set @ 86.47/11.67 X336 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X338:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X338 ) => 86.47/11.67 ( 86.47/11.67 set2prop @ 86.47/11.67 ( 86.47/11.67 prop2set @ 86.47/11.67 X338 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X340:$i, 86.47/11.67 X342:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 ?[ 86.47/11.67 X344:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X344 @ 86.47/11.67 X340 ) & 86.47/11.67 ( 86.47/11.67 X342 @ 86.47/11.67 X344 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X346:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X346 @ 86.47/11.67 X340 ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 X342 @ 86.47/11.67 X346 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X348:$i, 86.47/11.67 X350:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 ![ 86.47/11.67 X352:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X352 @ 86.47/11.67 X348 ) => 86.47/11.67 ( 86.47/11.67 X350 @ 86.47/11.67 X352 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X354:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X354 @ 86.47/11.67 X348 ) & 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 X350 @ 86.47/11.67 X354 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X356:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X358:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X358 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X360:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X360 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X358 ) = 86.47/11.67 ( 86.47/11.67 X360 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X362:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X362 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X364:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X364 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X362 ) = 86.47/11.67 ( 86.47/11.67 X364 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X366:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X368:$i]: 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X368 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X370:$i, 86.47/11.67 X372:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X370 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X372 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X370 ) = 86.47/11.67 ( 86.47/11.67 X372 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X374:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X374 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X376:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X376 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X374 ) = 86.47/11.67 ( 86.47/11.67 X376 ) ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X378:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X380:$i]: 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X382:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X378 @ 86.47/11.67 X382 ) <=> 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X382 ) = 86.47/11.67 ( 86.47/11.67 X380 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X384:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X378 @ 86.47/11.67 X384 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X386:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X378 @ 86.47/11.67 X386 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X384 ) = 86.47/11.67 ( 86.47/11.67 X386 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X388:$i, 86.47/11.67 X390:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X388 ) = 86.47/11.67 ( 86.47/11.67 X390 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X392:$i, 86.47/11.67 X394:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X392 ) = 86.47/11.67 ( 86.47/11.67 X394 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X392 @ 86.47/11.67 X388 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X394 @ 86.47/11.67 X390 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X396:$i, 86.47/11.67 X398:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X396 ) = 86.47/11.67 ( 86.47/11.67 X398 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X400:$i, 86.47/11.67 X402:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X400 ) = 86.47/11.67 ( 86.47/11.67 X402 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X400 @ 86.47/11.67 X396 ) <=> 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X402 @ 86.47/11.67 X398 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X404:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X406:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X406 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X408:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X408 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X406 ) = 86.47/11.67 ( 86.47/11.67 X408 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X410:$i, 86.47/11.67 X412:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X410 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X412 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X410 ) = 86.47/11.67 ( 86.47/11.67 X412 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X414:( 86.47/11.67 $i > $o ), 86.47/11.67 X416:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X418:$i, 86.47/11.67 X420:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X418 ) = 86.47/11.67 ( 86.47/11.67 X420 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X414 @ 86.47/11.67 X418 ) <=> 86.47/11.67 ( 86.47/11.67 X416 @ 86.47/11.67 X420 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X422:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X414 @ 86.47/11.67 X422 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X424:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X414 @ 86.47/11.67 X424 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X422 ) = 86.47/11.67 ( 86.47/11.67 X424 ) ) ) ) ) ) <=> 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X426:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X416 @ 86.47/11.67 X426 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X428:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X416 @ 86.47/11.67 X428 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X426 ) = 86.47/11.67 ( 86.47/11.67 X428 ) ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 emptyset ) = 86.47/11.67 ( 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X430:$i, 86.47/11.67 X432:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X430 ) = 86.47/11.67 ( 86.47/11.67 X432 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X434:$i, 86.47/11.67 X436:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X434 ) = 86.47/11.67 ( 86.47/11.67 X436 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X430 @ 86.47/11.67 X434 ) = 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X432 @ 86.47/11.67 X436 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X438:$i, 86.47/11.67 X440:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X438 ) = 86.47/11.67 ( 86.47/11.67 X440 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X438 ) = 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X440 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X442:$i, 86.47/11.67 X444:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X442 ) = 86.47/11.67 ( 86.47/11.67 X444 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 X442 ) = 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 X444 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 omega ) = 86.47/11.67 ( 86.47/11.67 omega ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X446:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X448:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X448 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X450:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X450 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X448 ) = 86.47/11.67 ( 86.47/11.67 X450 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X452:$i, 86.47/11.67 X454:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X452 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X454 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X452 ) = 86.47/11.67 ( 86.47/11.67 X454 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X456:( 86.47/11.67 $i > $o ), 86.47/11.67 X458:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X460:$i, 86.47/11.67 X462:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X460 ) = 86.47/11.67 ( 86.47/11.67 X462 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X456 @ 86.47/11.67 X460 ) <=> 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 X462 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X464:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X456 @ 86.47/11.67 X464 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X466:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X456 @ 86.47/11.67 X466 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X464 ) = 86.47/11.67 ( 86.47/11.67 X466 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X468:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 X468 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X470:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 X470 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X468 ) = 86.47/11.67 ( 86.47/11.67 X470 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 descr @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_9:$i]: 86.47/11.67 ( 86.47/11.67 X456 @ V_9 ) ) ) = 86.47/11.67 ( 86.47/11.67 descr @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_10:$i]: 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 V_10 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X472:$i, 86.47/11.67 X474:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X472 ) = 86.47/11.67 ( 86.47/11.67 X474 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X476:( 86.47/11.67 $i > $o ), 86.47/11.67 X478:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X480:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X480 @ 86.47/11.67 X472 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X482:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X482 @ 86.47/11.67 X474 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X480 ) = 86.47/11.67 ( 86.47/11.67 X482 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X476 @ 86.47/11.67 X480 ) <=> 86.47/11.67 ( 86.47/11.67 X478 @ 86.47/11.67 X482 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X472 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_11:$i]: 86.47/11.67 ( 86.47/11.67 X476 @ 86.47/11.67 V_11 ) ) ) = 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X474 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_12:$i]: 86.47/11.67 ( 86.47/11.67 X478 @ 86.47/11.67 V_12 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X484:$i, 86.47/11.67 X486:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X488:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X488 @ 86.47/11.67 X484 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X488 @ 86.47/11.67 X486 ) ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X484 @ 86.47/11.67 X486 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X490:$i, 86.47/11.67 X492:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X490 ) = 86.47/11.67 ( 86.47/11.67 X492 ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X492 @ 86.47/11.67 X490 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X494:$i, 86.47/11.67 X496:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X494 ) = 86.47/11.67 ( 86.47/11.67 X496 ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X494 @ 86.47/11.67 X496 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X498:$i, 86.47/11.67 X500:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X502:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X502 @ 86.47/11.67 X498 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X502 @ 86.47/11.67 X500 ) ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X498 @ 86.47/11.67 X500 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X504:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 emptyset @ 86.47/11.67 X504 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X506:$i, 86.47/11.67 X508:$i, 86.47/11.67 X510:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X506 @ 86.47/11.67 X508 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X510 @ 86.47/11.67 X506 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X510 @ 86.47/11.67 X508 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X512:$i, 86.47/11.67 X514:$i, 86.47/11.67 X516:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X512 @ 86.47/11.67 X514 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X516 @ 86.47/11.67 X514 ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X516 @ 86.47/11.67 X512 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X518:$i, 86.47/11.67 X520:$i, 86.47/11.67 X522:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X522 @ 86.47/11.67 X518 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X522 @ 86.47/11.67 X520 ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 subset @ 86.47/11.67 X518 @ 86.47/11.67 X520 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X524:$i, 86.47/11.67 X526:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 subset @ 86.47/11.67 X524 @ 86.47/11.67 X526 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X524 ) != 86.47/11.67 ( 86.47/11.67 X526 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X528:$i, 86.47/11.67 X530:$i, 86.47/11.67 X532:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X532 @ 86.47/11.67 X528 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X532 @ 86.47/11.67 X530 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X528 ) != 86.47/11.67 ( 86.47/11.67 X530 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X534:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X534 @ 86.47/11.67 X534 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X536:$i, 86.47/11.67 X538:$i, 86.47/11.67 X540:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X536 @ 86.47/11.67 X538 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X538 @ 86.47/11.67 X540 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X536 @ 86.47/11.67 X540 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X542:$i, 86.47/11.67 X544:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X544 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X542 @ 86.47/11.67 X544 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X546:$i, 86.47/11.67 X548:$i, 86.47/11.67 X550:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X546 @ 86.47/11.67 X550 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X546 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X548 @ 86.47/11.67 X550 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X552:$i, 86.47/11.67 X554:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X552 @ 86.47/11.67 X554 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X552 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X554 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X556:$i, 86.47/11.67 X558:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X556 @ 86.47/11.67 X558 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X558 @ 86.47/11.67 X556 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X556 ) = 86.47/11.67 ( 86.47/11.67 X558 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X560:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X560 @ 86.47/11.67 emptyset ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X560 ) = 86.47/11.67 ( 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X562:$i, 86.47/11.67 X564:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X564 @ 86.47/11.67 X562 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X564 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X562 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X566:$i, 86.47/11.67 X568:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X568 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X566 ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X568 @ 86.47/11.67 X566 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X570:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X570 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X570 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X572:$i, 86.47/11.67 X574:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X572 @ 86.47/11.67 X574 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X572 ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X574 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X576:$i, 86.47/11.67 X578:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X576 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_13:$i]: 86.47/11.67 ( 86.47/11.67 X578 @ 86.47/11.67 V_13 ) ) ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X576 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X580:$i, 86.47/11.67 X582:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X580 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_14:$i]: 86.47/11.67 ( 86.47/11.67 X582 @ 86.47/11.67 V_14 ) ) ) @ 86.47/11.67 X580 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X584:$i, 86.47/11.67 X586:$i, 86.47/11.67 X588:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X588 @ 86.47/11.67 X584 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X588 @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X584 @ 86.47/11.67 X586 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X590:$i, 86.47/11.67 X592:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X592 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X590 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X592 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X594:$i, 86.47/11.67 X596:$i, 86.47/11.67 X598:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X598 @ 86.47/11.67 X596 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X598 @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X594 @ 86.47/11.67 X596 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X600:$i, 86.47/11.67 X602:$i, 86.47/11.67 X604:$i, 86.47/11.67 X606:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X604 @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X600 @ 86.47/11.67 X602 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X604 @ 86.47/11.67 X600 ) => 86.47/11.67 ( 86.47/11.67 X606 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X604 @ 86.47/11.67 X602 ) => 86.47/11.67 ( 86.47/11.67 X606 ) ) => 86.47/11.67 ( 86.47/11.67 X606 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X608:$i, 86.47/11.67 X610:$i, 86.47/11.67 X612:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X612 @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X608 @ 86.47/11.67 X610 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X612 @ 86.47/11.67 X610 ) | 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X612 @ 86.47/11.67 X608 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X614:$i, 86.47/11.67 X616:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X614 @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X614 @ 86.47/11.67 X616 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X618:$i, 86.47/11.67 X620:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X620 @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X618 @ 86.47/11.67 X620 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X622:$i, 86.47/11.67 X624:$i, 86.47/11.67 X626:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X626 @ 86.47/11.67 X622 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X626 @ 86.47/11.67 X624 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X626 @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X622 @ 86.47/11.67 X624 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X628:$i, 86.47/11.67 X630:$i, 86.47/11.67 X632:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X632 @ 86.47/11.67 X628 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X632 @ 86.47/11.67 X630 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X632 @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X628 @ 86.47/11.67 X630 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X634:$i, 86.47/11.67 X636:$i, 86.47/11.67 X638:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X638 @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X634 @ 86.47/11.67 X636 ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X638 @ 86.47/11.67 X634 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X640:$i, 86.47/11.67 X642:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X640 @ 86.47/11.67 X642 ) @ 86.47/11.67 X640 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X644:$i, 86.47/11.67 X646:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X644 @ 86.47/11.67 X646 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X644 @ 86.47/11.67 X646 ) = 86.47/11.67 ( 86.47/11.67 X644 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X648:$i, 86.47/11.67 X650:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X648 @ 86.47/11.67 X650 ) = 86.47/11.67 ( 86.47/11.67 X650 ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X650 @ 86.47/11.67 X648 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X652:$i, 86.47/11.67 X654:$i, 86.47/11.67 X656:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X656 @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X652 @ 86.47/11.67 X654 ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X656 @ 86.47/11.67 X654 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X658:$i, 86.47/11.67 X660:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 ?[ 86.47/11.67 X662:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X662 @ 86.47/11.67 X658 ) & 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X662 @ 86.47/11.67 X660 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X658 @ 86.47/11.67 X660 ) = 86.47/11.67 ( 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X664:$i, 86.47/11.67 X666:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X664 @ 86.47/11.67 X666 ) @ 86.47/11.67 X666 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X668:$i, 86.47/11.67 X670:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X670 @ 86.47/11.67 X668 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X668 @ 86.47/11.67 X670 ) = 86.47/11.67 ( 86.47/11.67 X670 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X672:$i, 86.47/11.67 X674:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X672 @ 86.47/11.67 X674 ) = 86.47/11.67 ( 86.47/11.67 X672 ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X672 @ 86.47/11.67 X674 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X676:$i, 86.47/11.67 X678:$i, 86.47/11.67 X680:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X676 @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X678 @ 86.47/11.67 X680 ) ) = 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X676 @ 86.47/11.67 X678 ) @ 86.47/11.67 ( 86.47/11.67 binintersect 86.47/11.67 @ 86.47/11.67 X676 @ 86.47/11.67 X680 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X682:$i, 86.47/11.67 X684:$i, 86.47/11.67 X686:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X686 @ 86.47/11.67 X682 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X686 @ 86.47/11.67 X684 ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X686 @ 86.47/11.67 ( 86.47/11.67 setminus @ 86.47/11.67 X682 @ 86.47/11.67 X684 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X688:$i, 86.47/11.67 X690:$i, 86.47/11.67 X692:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X692 @ 86.47/11.67 ( 86.47/11.67 setminus @ 86.47/11.67 X688 @ 86.47/11.67 X690 ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X692 @ 86.47/11.67 X688 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X694:$i, 86.47/11.67 X696:$i, 86.47/11.67 X698:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X698 @ 86.47/11.67 ( 86.47/11.67 setminus @ 86.47/11.67 X694 @ 86.47/11.67 X696 ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X698 @ 86.47/11.67 X696 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X700:$i, 86.47/11.67 X702:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X700 @ 86.47/11.67 X702 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminus @ 86.47/11.67 X700 @ 86.47/11.67 X702 ) = 86.47/11.67 ( 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X704:$i, 86.47/11.67 X706:$i, 86.47/11.67 X708:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X708 @ 86.47/11.67 ( 86.47/11.67 setminus 86.47/11.67 @ 86.47/11.67 X704 @ 86.47/11.67 X706 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X708 @ 86.47/11.67 X704 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X708 @ 86.47/11.67 X706 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X710:$i, 86.47/11.67 X712:$i, 86.47/11.67 X714:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X714 @ 86.47/11.67 ( 86.47/11.67 setminus 86.47/11.67 @ 86.47/11.67 X710 @ 86.47/11.67 X712 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X714 @ 86.47/11.67 X712 ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X714 @ 86.47/11.67 X710 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X716:$i, 86.47/11.67 X718:$i, 86.47/11.67 X720:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X720 @ 86.47/11.67 X716 ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X720 @ 86.47/11.67 ( 86.47/11.67 setminus 86.47/11.67 @ 86.47/11.67 X716 @ 86.47/11.67 X718 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X722:$i, 86.47/11.67 X724:$i, 86.47/11.67 X726:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X726 @ 86.47/11.67 X724 ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X726 @ 86.47/11.67 ( 86.47/11.67 setminus 86.47/11.67 @ 86.47/11.67 X722 @ 86.47/11.67 X724 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X728:$i, 86.47/11.67 X730:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 setminus @ 86.47/11.67 X728 @ 86.47/11.67 X730 ) @ 86.47/11.67 X728 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X732:$i, 86.47/11.67 X734:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setminus @ 86.47/11.67 X732 @ 86.47/11.67 X734 ) = 86.47/11.67 ( 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X732 @ 86.47/11.67 X734 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X736:$i, 86.47/11.67 X738:$i, 86.47/11.67 X740:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X740 @ 86.47/11.67 ( 86.47/11.67 symdiff @ 86.47/11.67 X736 @ 86.47/11.67 X738 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X742:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X740 @ 86.47/11.67 X736 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X740 @ 86.47/11.67 X738 ) ) => 86.47/11.67 ( 86.47/11.67 X742 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X740 @ 86.47/11.67 X736 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X740 @ 86.47/11.67 X738 ) => 86.47/11.67 ( 86.47/11.67 X742 ) ) ) => 86.47/11.67 ( 86.47/11.67 X742 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X744:$i, 86.47/11.67 X746:$i, 86.47/11.67 X748:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X748 @ 86.47/11.67 X744 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X748 @ 86.47/11.67 X746 ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X748 @ 86.47/11.67 ( 86.47/11.67 symdiff @ 86.47/11.67 X744 @ 86.47/11.67 X746 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X750:$i, 86.47/11.67 X752:$i, 86.47/11.67 X754:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X754 @ 86.47/11.67 X750 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X754 @ 86.47/11.67 X752 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X754 @ 86.47/11.67 ( 86.47/11.67 symdiff @ 86.47/11.67 X750 @ 86.47/11.67 X752 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X756:$i, 86.47/11.67 X758:$i, 86.47/11.67 X760:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X760 @ 86.47/11.67 X756 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X760 @ 86.47/11.67 X758 ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X760 @ 86.47/11.67 ( 86.47/11.67 symdiff @ 86.47/11.67 X756 @ 86.47/11.67 X758 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X762:$i, 86.47/11.67 X764:$i, 86.47/11.67 X766:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X766 @ 86.47/11.67 X762 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X766 @ 86.47/11.67 X764 ) ) => 86.47/11.67 ( 86.47/11.67 ~( 86.47/11.67 in @ 86.47/11.67 X766 @ 86.47/11.67 ( 86.47/11.67 symdiff @ 86.47/11.67 X762 @ 86.47/11.67 X764 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X768:$i, 86.47/11.67 X770:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X770 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X768 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X770 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X772:$i, 86.47/11.67 X774:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X772 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X772 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X772 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X774 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X776:$i, 86.47/11.67 X778:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X778 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X776 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X776 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X778 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X780:$i, 86.47/11.67 X782:$i]: 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X784:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X784 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X780 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X780 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X782 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) & 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X786:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X786 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X780 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X780 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X782 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) & 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X780 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X780 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X782 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) = 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X784 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X784 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X786 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X788:$i, 86.47/11.67 X790:$i]: 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X792:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X792 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X788 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X788 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X790 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) & 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X794:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X794 @ 86.47/11.67 ( 86.47/11.67 setunion @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X788 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X788 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X790 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) & 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X788 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X788 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X790 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) = 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X792 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X792 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X794 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X796:$i, 86.47/11.67 X798:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X798 @ 86.47/11.67 X796 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X798 @ 86.47/11.67 emptyset ) @ 86.47/11.67 X796 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X800:$i, 86.47/11.67 X802:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X802 @ 86.47/11.67 X800 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X802 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 X800 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X804:$i, 86.47/11.67 X806:$i, 86.47/11.67 X808:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X808 @ 86.47/11.67 X804 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X808 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X804 @ 86.47/11.67 X806 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X810:$i, 86.47/11.67 X812:$i, 86.47/11.67 X814:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X814 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X810 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X812 @ 86.47/11.67 emptyset ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X814 ) = 86.47/11.67 ( 86.47/11.67 X812 ) ) | 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X814 ) = 86.47/11.67 ( 86.47/11.67 X810 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X816:$i, 86.47/11.67 X818:$i, 86.47/11.67 X820:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X820 @ 86.47/11.67 X816 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X822:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X822 @ 86.47/11.67 X818 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X820 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X822 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X816 @ 86.47/11.67 X818 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X824:$i, 86.47/11.67 X826:$i, 86.47/11.67 X828:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X828 @ 86.47/11.67 X824 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X830:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X830 @ 86.47/11.67 X826 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X828 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X830 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X824 @ 86.47/11.67 X826 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X832:$i, 86.47/11.67 X834:$i, 86.47/11.67 X836:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X836 @ 86.47/11.67 X832 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X838:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X838 @ 86.47/11.67 X834 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X836 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X836 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X838 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X832 @ 86.47/11.67 X834 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X840:$i, 86.47/11.67 X842:$i, 86.47/11.67 X844:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X844 @ 86.47/11.67 X840 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X846:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X846 @ 86.47/11.67 X842 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X844 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X844 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X846 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X840 @ 86.47/11.67 X842 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X848:$i, 86.47/11.67 X850:$i, 86.47/11.67 X852:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X852 @ 86.47/11.67 X848 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X854:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X854 @ 86.47/11.67 X850 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X852 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X852 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X854 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X848 @ 86.47/11.67 X850 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X856:$i, 86.47/11.67 X858:$i, 86.47/11.67 X860:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X860 @ 86.47/11.67 X856 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X862:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X862 @ 86.47/11.67 X858 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X860 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X860 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X862 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 powerset @ 86.47/11.67 ( 86.47/11.67 binunion @ 86.47/11.67 X856 @ 86.47/11.67 X858 ) ) ) @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_15:$i]: 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X864:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X864 @ 86.47/11.67 X856 ) & 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X866:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X866 @ 86.47/11.67 X858 ) & 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 V_15 ) = 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X864 @ 86.47/11.67 emptyset ) @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X864 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X866 @ 86.47/11.67 emptyset ) ) @ 86.47/11.67 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))). 86.47/11.67 thf(zf_stmt_1, negated_conjecture, 86.47/11.67 (~( ( ![X4:$i,X6:$i]: 86.47/11.67 ( ( ![X8:$i]: ( ( in @ X8 @ X4 ) <=> ( in @ X8 @ X6 ) ) ) => 86.47/11.67 ( ( X4 ) = ( X6 ) ) ) ) => 86.47/11.67 ( ( ![X10:$i]: ( ~( in @ X10 @ emptyset ) ) ) => 86.47/11.67 ( ( ![X12:$i,X14:$i,X16:$i]: 86.47/11.67 ( ( in @ X16 @ ( setadjoin @ X12 @ X14 ) ) <=> 86.47/11.67 ( ( in @ X16 @ X14 ) | ( ( X16 ) = ( X12 ) ) ) ) ) => 86.47/11.67 ( ( ![X18:$i,X20:$i]: 86.47/11.67 ( ( in @ X20 @ ( powerset @ X18 ) ) <=> 86.47/11.67 ( ![X22:$i]: ( ( in @ X22 @ X20 ) => ( in @ X22 @ X18 ) ) ) ) ) => 86.47/11.67 ( ( ![X24:$i,X26:$i]: 86.47/11.67 ( ( in @ X26 @ ( setunion @ X24 ) ) <=> 86.47/11.67 ( ?[X28:$i]: ( ( in @ X26 @ X28 ) & ( in @ X28 @ X24 ) ) ) ) ) => 86.47/11.67 ( ( in @ emptyset @ omega ) => 86.47/11.67 ( ( ![X30:$i]: 86.47/11.67 ( ( in @ X30 @ omega ) => 86.47/11.67 ( in @ ( setadjoin @ X30 @ X30 ) @ omega ) ) ) => 86.47/11.67 ( ( ![X32:$i]: 86.47/11.67 ( ( ( ![X34:$i]: 86.47/11.67 ( ( ( in @ X34 @ X32 ) & ( in @ X34 @ omega ) ) => 86.47/11.67 ( in @ ( setadjoin @ X34 @ X34 ) @ X32 ) ) ) & 86.47/11.67 ( in @ emptyset @ X32 ) ) => 86.47/11.67 ( ![X36:$i]: 86.47/11.67 ( ( in @ X36 @ omega ) => ( in @ X36 @ X32 ) ) ) ) ) => 86.47/11.67 ( ( ![X38:( $i > $i > $o ),X40:$i]: 86.47/11.67 ( ( ![X42:$i]: 86.47/11.67 ( ( in @ X42 @ X40 ) => 86.47/11.67 ( ?[X44:$i]: 86.47/11.67 ( ( X38 @ X42 @ X44 ) & 86.47/11.67 ( ![X46:$i]: 86.47/11.67 ( ( X38 @ X42 @ X46 ) => 86.47/11.67 ( ( X44 ) = ( X46 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ?[X48:$i]: 86.47/11.67 ( ![X50:$i]: 86.47/11.67 ( ( in @ X50 @ X48 ) <=> 86.47/11.67 ( ?[X52:$i]: 86.47/11.67 ( ( in @ X52 @ X40 ) & ( X38 @ X52 @ X50 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X54:$i]: 86.47/11.67 ( ( ?[X56:$i]: ( in @ X56 @ X54 ) ) => 86.47/11.67 ( ?[X58:$i]: 86.47/11.67 ( ( in @ X58 @ X54 ) & 86.47/11.67 ( ~( ?[X60:$i]: 86.47/11.67 ( ( in @ X60 @ X58 ) & 86.47/11.67 ( in @ X60 @ X54 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X62:$i]: 86.47/11.67 ( ?[X64:$i]: 86.47/11.67 ( ( ![X96:$i]: 86.47/11.67 ( ( in @ X96 @ X64 ) => 86.47/11.67 ( ![X98:$i]: 86.47/11.67 ( ( in @ X98 @ X96 ) => 86.47/11.67 ( in @ X98 @ X62 ) ) ) ) ) & 86.47/11.67 ( ![X90:$i,X92:$i]: 86.47/11.67 ( ( ( in @ X92 @ X62 ) & ( in @ X90 @ X62 ) ) => 86.47/11.67 ( ( ![X94:$i]: 86.47/11.67 ( ( in @ X94 @ X64 ) => 86.47/11.67 ( ( in @ X90 @ X94 ) <=> 86.47/11.67 ( in @ X92 @ X94 ) ) ) ) => 86.47/11.67 ( ( X90 ) = ( X92 ) ) ) ) ) & 86.47/11.67 ( ![X82:$i,X84:$i]: 86.47/11.67 ( ( ( in @ X84 @ X64 ) & ( in @ X82 @ X64 ) ) => 86.47/11.67 ( ( ![X88:$i]: 86.47/11.67 ( ( in @ X88 @ X84 ) => 86.47/11.67 ( in @ X88 @ X82 ) ) ) | 86.47/11.67 ( ![X86:$i]: 86.47/11.67 ( ( in @ X86 @ X82 ) => 86.47/11.67 ( in @ X86 @ X84 ) ) ) ) ) ) & 86.47/11.67 ( ![X66:$i]: 86.47/11.67 ( ( ( ?[X70:$i]: ( in @ X70 @ X66 ) ) & 86.47/11.67 ( ![X68:$i]: 86.47/11.67 ( ( in @ X68 @ X66 ) => 86.47/11.67 ( in @ X68 @ X62 ) ) ) ) => 86.47/11.67 ( ?[X72:$i,X74:$i]: 86.47/11.67 ( ( in @ X72 @ X64 ) & 86.47/11.67 ( in @ X74 @ X66 ) & 86.47/11.67 ( ~( ?[X80:$i]: 86.47/11.67 ( ( in @ X80 @ X72 ) & 86.47/11.67 ( in @ X80 @ X66 ) ) ) ) & 86.47/11.67 ( ![X76:$i]: 86.47/11.67 ( ( in @ X76 @ X64 ) => 86.47/11.67 ( ( in @ X74 @ X76 ) | 86.47/11.67 ( ![X78:$i]: 86.47/11.67 ( ( in @ X78 @ X76 ) => 86.47/11.67 ( in @ X78 @ X72 ) ) ) ) ) ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X100:( $i > $o )]: 86.47/11.67 ( ( ?[X102:$i]: 86.47/11.67 ( ( X100 @ X102 ) & 86.47/11.67 ( ![X104:$i]: 86.47/11.67 ( ( X100 @ X104 ) => 86.47/11.67 ( ( X102 ) = ( X104 ) ) ) ) ) ) => 86.47/11.67 ( X100 @ 86.47/11.67 ( descr @ ( ^[V_1:$i]: ( X100 @ V_1 ) ) ) ) ) ) => 86.47/11.67 ( ( ![X106:$i,X108:( $i > $o ),X110:$i]: 86.47/11.67 ( ( in @ X110 @ X106 ) => 86.47/11.67 ( ( X108 @ X110 ) => 86.47/11.67 ( in @ 86.47/11.67 X110 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X106 @ ( ^[V_2:$i]: ( X108 @ V_2 ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X112:$i,X114:( $i > $o ),X116:$i]: 86.47/11.67 ( ( in @ 86.47/11.67 X116 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X112 @ ( ^[V_3:$i]: ( X114 @ V_3 ) ) ) ) => 86.47/11.67 ( in @ X116 @ X112 ) ) ) => 86.47/11.67 ( ( ![X118:$i,X120:( $i > $o ),X122:$i]: 86.47/11.67 ( ( in @ 86.47/11.67 X122 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X118 @ 86.47/11.67 ( ^[V_4:$i]: ( X120 @ V_4 ) ) ) ) => 86.47/11.67 ( X120 @ X122 ) ) ) => 86.47/11.67 ( ( ![X124:( $i > $o )]: 86.47/11.67 ( ( ?[X126:$i]: 86.47/11.67 ( ( X124 @ X126 ) & 86.47/11.67 ( ![X128:$i]: 86.47/11.67 ( ( X124 @ X128 ) => 86.47/11.67 ( ( X126 ) = ( X128 ) ) ) ) ) ) => 86.47/11.67 ( ?[X130:$i]: 86.47/11.67 ( ( X124 @ X130 ) & 86.47/11.67 ( ![X132:$i]: 86.47/11.67 ( ( X124 @ X132 ) => 86.47/11.67 ( ( X130 ) = ( X132 ) ) ) ) ) ) ) ) => 86.47/11.67 ( ( ![X134:$o,X136:$i]: 86.47/11.67 ( ( in @ X136 @ ( prop2set @ X134 ) ) => 86.47/11.67 ( X134 ) ) ) => 86.47/11.67 ( ( ![X138:$i]: 86.47/11.67 ( ( in @ X138 @ emptyset ) => 86.47/11.67 ( ![X140:$o]: ( X140 ) ) ) ) => 86.47/11.67 ( ( ![X142:$i]: 86.47/11.67 ( ~( in @ X142 @ emptyset ) ) ) => 86.47/11.67 ( ( ![X144:$i]: 86.47/11.67 ( ~( in @ X144 @ emptyset ) ) ) => 86.47/11.67 ( ( ![X146:( $i > $o )]: 86.47/11.67 ( ( ?[X148:$i]: 86.47/11.67 ( ( X146 @ X148 ) & 86.47/11.67 ( ![X150:$i]: 86.47/11.67 ( ( X146 @ X150 ) => 86.47/11.67 ( ( X148 ) = 86.47/11.67 ( X150 ) ) ) ) ) ) => 86.47/11.67 ( ?[X152:$i]: 86.47/11.67 ( X146 @ X152 ) ) ) ) => 86.47/11.67 ( ( ![X154:$i,X156:$i]: 86.47/11.67 ( ( ![X158:$i]: 86.47/11.67 ( ( in @ X158 @ X154 ) => 86.47/11.67 ( in @ X158 @ X156 ) ) ) => 86.47/11.67 ( ( ![X160:$i]: 86.47/11.67 ( ( in @ X160 @ X156 ) => 86.47/11.67 ( in @ X160 @ X154 ) ) ) => 86.47/11.67 ( ( X154 ) = ( X156 ) ) ) ) ) => 86.47/11.67 ( ( ![X162:$i]: 86.47/11.67 ( ( ![X164:$i]: 86.47/11.67 ( ~( in @ X164 @ X162 ) ) ) => 86.47/11.67 ( ( X162 ) = 86.47/11.67 ( emptyset ) ) ) ) => 86.47/11.67 ( ( ![X166:$i]: 86.47/11.67 ( ( ![X168:$i]: 86.47/11.67 ( ~( in @ 86.47/11.67 X168 @ X166 ) ) ) => 86.47/11.67 ( ( X166 ) = 86.47/11.67 ( emptyset ) ) ) ) => 86.47/11.67 ( ( ![X170:$i, 86.47/11.67 X172:( $i > $o ), 86.47/11.67 X174:$i]: 86.47/11.67 ( ( in @ X174 @ X170 ) => 86.47/11.67 ( ( in @ 86.47/11.67 X174 @ 86.47/11.67 ( dsetconstr @ 86.47/11.67 X170 @ 86.47/11.67 ( ^[V_5:$i]: 86.47/11.67 ( X172 @ 86.47/11.67 V_5 ) ) ) ) <=> 86.47/11.67 ( X172 @ X174 ) ) ) ) => 86.47/11.67 ( ( ![X176:$i]: 86.47/11.67 ( ( ( X176 ) != 86.47/11.67 ( emptyset ) ) => 86.47/11.67 ( ?[X178:$i]: 86.47/11.67 ( in @ 86.47/11.67 X178 @ X176 ) ) ) ) => 86.47/11.67 ( ( ![X180:$i, 86.47/11.67 X182:( 86.47/11.67 $i > $o ), 86.47/11.67 X184:$i]: 86.47/11.67 ( ( in @ 86.47/11.67 X184 @ X180 ) => 86.47/11.67 ( ( X182 @ X184 ) => 86.47/11.67 ( ( dsetconstr 86.47/11.67 @ 86.47/11.67 X180 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_6:$i]: 86.47/11.67 ( 86.47/11.67 X182 @ 86.47/11.67 V_6 ) ) ) != 86.47/11.67 ( emptyset ) ) ) ) ) => 86.47/11.67 ( ( ![X186:$i]: 86.47/11.67 ( ( ?[X188:$i]: 86.47/11.67 ( in @ 86.47/11.67 X188 @ 86.47/11.67 X186 ) ) => 86.47/11.67 ( ( X186 ) != 86.47/11.67 ( emptyset ) ) ) ) => 86.47/11.67 ( ( ![X190:$i, 86.47/11.67 X192:$i]: 86.47/11.67 ( in @ 86.47/11.67 X190 @ 86.47/11.67 ( setadjoin 86.47/11.67 @ 86.47/11.67 X190 @ 86.47/11.67 X192 ) ) ) => 86.47/11.67 ( ( in @ 86.47/11.67 emptyset @ 86.47/11.67 ( setadjoin 86.47/11.67 @ 86.47/11.67 emptyset @ 86.47/11.67 emptyset ) ) => 86.47/11.67 ( ( ![ 86.47/11.67 X194:$i, 86.47/11.67 X196:$i, 86.47/11.67 X198:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X198 @ 86.47/11.67 X196 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X198 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X194 @ 86.47/11.67 X196 ) ) ) ) => 86.47/11.67 ( ( 86.47/11.67 ![ 86.47/11.67 X200:$i, 86.47/11.67 X202:$i, 86.47/11.67 X204:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X204 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X200 @ 86.47/11.67 X202 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X206:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X204 ) = 86.47/11.67 ( 86.47/11.67 X200 ) ) => 86.47/11.67 ( 86.47/11.67 X206 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X204 @ 86.47/11.67 X202 ) => 86.47/11.67 ( 86.47/11.67 X206 ) ) => 86.47/11.67 ( 86.47/11.67 X206 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X208:$i, 86.47/11.67 X210:$i, 86.47/11.67 X212:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X212 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X208 @ 86.47/11.67 X210 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X212 @ 86.47/11.67 X210 ) | 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X212 ) = 86.47/11.67 ( 86.47/11.67 X208 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X214:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X214 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_7:$i]: 86.47/11.67 ( 86.47/11.67 $true ) ) ) = 86.47/11.67 ( 86.47/11.67 X214 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X216:$i, 86.47/11.67 X218:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X220:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X220 @ 86.47/11.67 X218 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X220 @ 86.47/11.67 X216 ) ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X218 @ 86.47/11.67 ( 86.47/11.67 powerset 86.47/11.67 @ 86.47/11.67 X216 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X222:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 emptyset @ 86.47/11.67 ( 86.47/11.67 powerset 86.47/11.67 @ 86.47/11.67 X222 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X224:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 emptyset @ 86.47/11.67 ( 86.47/11.67 powerset 86.47/11.67 @ 86.47/11.67 X224 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X226:$i, 86.47/11.67 X228:$i, 86.47/11.67 X230:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X228 @ 86.47/11.67 ( 86.47/11.67 powerset 86.47/11.67 @ 86.47/11.67 X226 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X230 @ 86.47/11.67 X228 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X230 @ 86.47/11.67 X226 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X232:$i, 86.47/11.67 X234:$i, 86.47/11.67 X236:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X234 @ 86.47/11.67 X236 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X236 @ 86.47/11.67 X232 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X234 @ 86.47/11.67 ( 86.47/11.67 setunion 86.47/11.67 @ 86.47/11.67 X232 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X238:$i, 86.47/11.67 X240:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X240 @ 86.47/11.67 ( 86.47/11.67 setunion 86.47/11.67 @ 86.47/11.67 X238 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X242:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X244:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X240 @ 86.47/11.67 X244 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X244 @ 86.47/11.67 X238 ) => 86.47/11.67 ( 86.47/11.67 X242 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 X242 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X246:$i, 86.47/11.67 X248:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X248 @ 86.47/11.67 X246 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X248 @ 86.47/11.67 ( 86.47/11.67 powerset 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 setunion 86.47/11.67 @ 86.47/11.67 X246 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X250:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X252:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X250 @ 86.47/11.67 X252 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X254:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X250 @ 86.47/11.67 X254 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X252 ) = 86.47/11.67 ( 86.47/11.67 X254 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X256:$i]: 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X258:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X250 @ 86.47/11.67 X258 ) <=> 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X258 ) = 86.47/11.67 ( 86.47/11.67 X256 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X260:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X260 ) != 86.47/11.67 ( 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X262:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X262 @ 86.47/11.67 X260 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X264:$i, 86.47/11.67 X266:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X264 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X266 @ 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X264 ) = 86.47/11.67 ( 86.47/11.67 X266 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X268:$i, 86.47/11.67 X270:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X268 ) != 86.47/11.67 ( 86.47/11.67 X270 ) ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X270 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X268 @ 86.47/11.67 emptyset ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X272:$i, 86.47/11.67 X274:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X272 ) = 86.47/11.67 ( 86.47/11.67 X274 ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X272 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X274 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X276:$i, 86.47/11.67 X278:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X276 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X278 @ 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X278 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X276 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X280:$i, 86.47/11.67 X282:$i, 86.47/11.67 X284:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X284 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X280 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X282 @ 86.47/11.67 emptyset ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X284 ) = 86.47/11.67 ( 86.47/11.67 X282 ) ) | 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X284 ) = 86.47/11.67 ( 86.47/11.67 X280 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X286:$i, 86.47/11.67 X288:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X286 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X286 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X288 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X290:$i, 86.47/11.67 X292:$i]: 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X292 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X290 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X292 @ 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X294:$i, 86.47/11.67 X296:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X298:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X298 @ 86.47/11.67 X294 ) & 86.47/11.67 ( 86.47/11.67 X296 @ 86.47/11.67 X298 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X294 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_8:$i]: 86.47/11.67 ( 86.47/11.67 X296 @ 86.47/11.67 V_8 ) ) ) != 86.47/11.67 ( 86.47/11.67 emptyset ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X300:( 86.47/11.67 $i > $o ), 86.47/11.67 X302:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X302 @ 86.47/11.67 emptyset ) => 86.47/11.67 ( 86.47/11.67 X300 @ 86.47/11.67 X302 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X304:$i, 86.47/11.67 X306:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X308:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X308 @ 86.47/11.67 X304 ) => 86.47/11.67 ( 86.47/11.67 X306 @ 86.47/11.67 X308 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X310:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X310 @ 86.47/11.67 X304 ) & 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 X306 @ 86.47/11.67 X310 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X312:$i, 86.47/11.67 X314:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X316:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X316 @ 86.47/11.67 X312 ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 X314 @ 86.47/11.67 X316 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X318:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X318 @ 86.47/11.67 X312 ) & 86.47/11.67 ( 86.47/11.67 X314 @ 86.47/11.67 X318 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X320:$i, 86.47/11.67 X322:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X324:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X324 @ 86.47/11.67 X320 ) & 86.47/11.67 ( 86.47/11.67 X322 @ 86.47/11.67 X324 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X326:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X326 @ 86.47/11.67 X320 ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 X322 @ 86.47/11.67 X326 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X328:$i, 86.47/11.67 X330:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X332:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X332 @ 86.47/11.67 X328 ) & 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 X330 @ 86.47/11.67 X332 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X334:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X334 @ 86.47/11.67 X328 ) => 86.47/11.67 ( 86.47/11.67 X330 @ 86.47/11.67 X334 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X336:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X336 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 emptyset @ 86.47/11.67 ( 86.47/11.67 prop2set 86.47/11.67 @ 86.47/11.67 X336 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X338:$o]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X338 ) => 86.47/11.67 ( 86.47/11.67 set2prop 86.47/11.67 @ 86.47/11.67 ( 86.47/11.67 prop2set 86.47/11.67 @ 86.47/11.67 X338 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X340:$i, 86.47/11.67 X342:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X344:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X344 @ 86.47/11.67 X340 ) & 86.47/11.67 ( 86.47/11.67 X342 @ 86.47/11.67 X344 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X346:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X346 @ 86.47/11.67 X340 ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 X342 @ 86.47/11.67 X346 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X348:$i, 86.47/11.67 X350:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X352:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X352 @ 86.47/11.67 X348 ) => 86.47/11.67 ( 86.47/11.67 X350 @ 86.47/11.67 X352 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X354:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X354 @ 86.47/11.67 X348 ) & 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 X350 @ 86.47/11.67 X354 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X356:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X358:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X358 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X360:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X360 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X358 ) = 86.47/11.67 ( 86.47/11.67 X360 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X362:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X362 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X364:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X356 @ 86.47/11.67 X364 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X362 ) = 86.47/11.67 ( 86.47/11.67 X364 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X366:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X368:$i]: 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X368 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X370:$i, 86.47/11.67 X372:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X370 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X372 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X370 ) = 86.47/11.67 ( 86.47/11.67 X372 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X374:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X374 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X376:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X366 @ 86.47/11.67 X376 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X374 ) = 86.47/11.67 ( 86.47/11.67 X376 ) ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X378:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X380:$i]: 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X382:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X378 @ 86.47/11.67 X382 ) <=> 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X382 ) = 86.47/11.67 ( 86.47/11.67 X380 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X384:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X378 @ 86.47/11.67 X384 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X386:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X378 @ 86.47/11.67 X386 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X384 ) = 86.47/11.67 ( 86.47/11.67 X386 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X388:$i, 86.47/11.67 X390:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X388 ) = 86.47/11.67 ( 86.47/11.67 X390 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X392:$i, 86.47/11.67 X394:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X392 ) = 86.47/11.67 ( 86.47/11.67 X394 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X392 @ 86.47/11.67 X388 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X394 @ 86.47/11.67 X390 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X396:$i, 86.47/11.67 X398:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X396 ) = 86.47/11.67 ( 86.47/11.67 X398 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X400:$i, 86.47/11.67 X402:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X400 ) = 86.47/11.67 ( 86.47/11.67 X402 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X400 @ 86.47/11.67 X396 ) <=> 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X402 @ 86.47/11.67 X398 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X404:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X406:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X406 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X408:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X408 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X406 ) = 86.47/11.67 ( 86.47/11.67 X408 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X410:$i, 86.47/11.67 X412:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X410 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X404 @ 86.47/11.67 X412 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X410 ) = 86.47/11.67 ( 86.47/11.67 X412 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X414:( 86.47/11.67 $i > $o ), 86.47/11.67 X416:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X418:$i, 86.47/11.67 X420:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X418 ) = 86.47/11.67 ( 86.47/11.67 X420 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X414 @ 86.47/11.67 X418 ) <=> 86.47/11.67 ( 86.47/11.67 X416 @ 86.47/11.67 X420 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X422:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X414 @ 86.47/11.67 X422 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X424:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X414 @ 86.47/11.67 X424 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X422 ) = 86.47/11.67 ( 86.47/11.67 X424 ) ) ) ) ) ) <=> 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X426:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X416 @ 86.47/11.67 X426 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X428:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X416 @ 86.47/11.67 X428 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X426 ) = 86.47/11.67 ( 86.47/11.67 X428 ) ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 emptyset ) = 86.47/11.67 ( 86.47/11.67 emptyset ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X430:$i, 86.47/11.67 X432:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X430 ) = 86.47/11.67 ( 86.47/11.67 X432 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X434:$i, 86.47/11.67 X436:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X434 ) = 86.47/11.67 ( 86.47/11.67 X436 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X430 @ 86.47/11.67 X434 ) = 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X432 @ 86.47/11.67 X436 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X438:$i, 86.47/11.67 X440:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X438 ) = 86.47/11.67 ( 86.47/11.67 X440 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 powerset 86.47/11.67 @ 86.47/11.67 X438 ) = 86.47/11.67 ( 86.47/11.67 powerset 86.47/11.67 @ 86.47/11.67 X440 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X442:$i, 86.47/11.67 X444:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X442 ) = 86.47/11.67 ( 86.47/11.67 X444 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 setunion 86.47/11.67 @ 86.47/11.67 X442 ) = 86.47/11.67 ( 86.47/11.67 setunion 86.47/11.67 @ 86.47/11.67 X444 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 omega ) = 86.47/11.67 ( 86.47/11.67 omega ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X446:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X448:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X448 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X450:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X450 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X448 ) = 86.47/11.67 ( 86.47/11.67 X450 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X452:$i, 86.47/11.67 X454:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X452 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X446 @ 86.47/11.67 X454 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X452 ) = 86.47/11.67 ( 86.47/11.67 X454 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X456:( 86.47/11.67 $i > $o ), 86.47/11.67 X458:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X460:$i, 86.47/11.67 X462:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X460 ) = 86.47/11.67 ( 86.47/11.67 X462 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X456 @ 86.47/11.67 X460 ) <=> 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 X462 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X464:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X456 @ 86.47/11.67 X464 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X466:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X456 @ 86.47/11.67 X466 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X464 ) = 86.47/11.67 ( 86.47/11.67 X466 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ?[ 86.47/11.67 X468:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 X468 ) & 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X470:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 X470 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X468 ) = 86.47/11.67 ( 86.47/11.67 X470 ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 descr @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_9:$i]: 86.47/11.67 ( 86.47/11.67 X456 @ 86.47/11.67 V_9 ) ) ) = 86.47/11.67 ( 86.47/11.67 descr @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_10:$i]: 86.47/11.67 ( 86.47/11.67 X458 @ 86.47/11.67 V_10 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X472:$i, 86.47/11.67 X474:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X472 ) = 86.47/11.67 ( 86.47/11.67 X474 ) ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X476:( 86.47/11.67 $i > $o ), 86.47/11.67 X478:( 86.47/11.67 $i > $o )]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X480:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X480 @ 86.47/11.67 X472 ) => 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X482:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X482 @ 86.47/11.67 X474 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X480 ) = 86.47/11.67 ( 86.47/11.67 X482 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X476 @ 86.47/11.67 X480 ) <=> 86.47/11.67 ( 86.47/11.67 X478 @ 86.47/11.67 X482 ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X472 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_11:$i]: 86.47/11.67 ( 86.47/11.67 X476 @ 86.47/11.67 V_11 ) ) ) = 86.47/11.67 ( 86.47/11.67 dsetconstr 86.47/11.67 @ 86.47/11.67 X474 @ 86.47/11.67 ( 86.47/11.67 ^[ 86.47/11.67 V_12:$i]: 86.47/11.67 ( 86.47/11.67 X478 @ 86.47/11.67 V_12 ) ) ) ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X484:$i, 86.47/11.67 X486:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X488:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X488 @ 86.47/11.67 X484 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X488 @ 86.47/11.67 X486 ) ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X484 @ 86.47/11.67 X486 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X490:$i, 86.47/11.67 X492:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X490 ) = 86.47/11.67 ( 86.47/11.67 X492 ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X492 @ 86.47/11.67 X490 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X494:$i, 86.47/11.67 X496:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X494 ) = 86.47/11.67 ( 86.47/11.67 X496 ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X494 @ 86.47/11.67 X496 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X498:$i, 86.47/11.67 X500:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X502:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X502 @ 86.47/11.67 X498 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X502 @ 86.47/11.67 X500 ) ) ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X498 @ 86.47/11.67 X500 ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X504:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 emptyset @ 86.47/11.67 X504 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X506:$i, 86.47/11.67 X508:$i, 86.47/11.67 X510:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X506 @ 86.47/11.67 X508 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X510 @ 86.47/11.67 X506 ) => 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X510 @ 86.47/11.67 X508 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X512:$i, 86.47/11.67 X514:$i, 86.47/11.67 X516:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X512 @ 86.47/11.67 X514 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X516 @ 86.47/11.67 X514 ) ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X516 @ 86.47/11.67 X512 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X518:$i, 86.47/11.67 X520:$i, 86.47/11.67 X522:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X522 @ 86.47/11.67 X518 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X522 @ 86.47/11.67 X520 ) ) => 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X518 @ 86.47/11.67 X520 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X524:$i, 86.47/11.67 X526:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X524 @ 86.47/11.67 X526 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X524 ) != 86.47/11.67 ( 86.47/11.67 X526 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X528:$i, 86.47/11.67 X530:$i, 86.47/11.67 X532:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X532 @ 86.47/11.67 X528 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ~ 86.47/11.67 ( 86.47/11.67 in @ 86.47/11.67 X532 @ 86.47/11.67 X530 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 X528 ) != 86.47/11.67 ( 86.47/11.67 X530 ) ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X534:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X534 @ 86.47/11.67 X534 ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X536:$i, 86.47/11.67 X538:$i, 86.47/11.67 X540:$i]: 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X536 @ 86.47/11.67 X538 ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X538 @ 86.47/11.67 X540 ) => 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X536 @ 86.47/11.67 X540 ) ) ) ) => 86.47/11.67 ( 86.47/11.67 ( 86.47/11.67 ![ 86.47/11.67 X542:$i, 86.47/11.67 X544:$i]: 86.47/11.67 ( 86.47/11.67 subset @ 86.47/11.67 X544 @ 86.47/11.67 ( 86.47/11.67 setadjoin 86.47/11.67 @ 86.47/11.67 X542 @ 86.47/11.67 X544 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X546:$i, 86.47/11.68 X548:$i, 86.47/11.68 X550:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X546 @ 86.47/11.68 X550 ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X546 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X548 @ 86.47/11.68 X550 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X552:$i, 86.47/11.68 X554:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X552 @ 86.47/11.68 X554 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X552 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X554 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X556:$i, 86.47/11.68 X558:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X556 @ 86.47/11.68 X558 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X558 @ 86.47/11.68 X556 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 X556 ) = 86.47/11.68 ( 86.47/11.68 X558 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X560:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X560 @ 86.47/11.68 emptyset ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 X560 ) = 86.47/11.68 ( 86.47/11.68 emptyset ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X562:$i, 86.47/11.68 X564:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X564 @ 86.47/11.68 X562 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X564 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X562 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X566:$i, 86.47/11.68 X568:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X568 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X566 ) ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X568 @ 86.47/11.68 X566 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X570:$i]: 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X570 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X570 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X572:$i, 86.47/11.68 X574:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X572 @ 86.47/11.68 X574 ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X572 ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X574 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X576:$i, 86.47/11.68 X578:( 86.47/11.68 $i > $o )]: 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 ( 86.47/11.68 dsetconstr 86.47/11.68 @ 86.47/11.68 X576 @ 86.47/11.68 ( 86.47/11.68 ^[ 86.47/11.68 V_13:$i]: 86.47/11.68 ( 86.47/11.68 X578 @ 86.47/11.68 V_13 ) ) ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X576 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X580:$i, 86.47/11.68 X582:( 86.47/11.68 $i > $o )]: 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 dsetconstr 86.47/11.68 @ 86.47/11.68 X580 @ 86.47/11.68 ( 86.47/11.68 ^[ 86.47/11.68 V_14:$i]: 86.47/11.68 ( 86.47/11.68 X582 @ 86.47/11.68 V_14 ) ) ) @ 86.47/11.68 X580 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X584:$i, 86.47/11.68 X586:$i, 86.47/11.68 X588:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X588 @ 86.47/11.68 X584 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X588 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X584 @ 86.47/11.68 X586 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X590:$i, 86.47/11.68 X592:$i]: 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X592 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X590 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X592 @ 86.47/11.68 emptyset ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X594:$i, 86.47/11.68 X596:$i, 86.47/11.68 X598:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X598 @ 86.47/11.68 X596 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X598 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X594 @ 86.47/11.68 X596 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X600:$i, 86.47/11.68 X602:$i, 86.47/11.68 X604:$i, 86.47/11.68 X606:$o]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X604 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X600 @ 86.47/11.68 X602 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X604 @ 86.47/11.68 X600 ) => 86.47/11.68 ( 86.47/11.68 X606 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X604 @ 86.47/11.68 X602 ) => 86.47/11.68 ( 86.47/11.68 X606 ) ) => 86.47/11.68 ( 86.47/11.68 X606 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X608:$i, 86.47/11.68 X610:$i, 86.47/11.68 X612:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X612 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X608 @ 86.47/11.68 X610 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X612 @ 86.47/11.68 X610 ) | 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X612 @ 86.47/11.68 X608 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X614:$i, 86.47/11.68 X616:$i]: 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X614 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X614 @ 86.47/11.68 X616 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X618:$i, 86.47/11.68 X620:$i]: 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X620 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X618 @ 86.47/11.68 X620 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X622:$i, 86.47/11.68 X624:$i, 86.47/11.68 X626:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X626 @ 86.47/11.68 X622 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X626 @ 86.47/11.68 X624 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X626 @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X622 @ 86.47/11.68 X624 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X628:$i, 86.47/11.68 X630:$i, 86.47/11.68 X632:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X632 @ 86.47/11.68 X628 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X632 @ 86.47/11.68 X630 ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X632 @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X628 @ 86.47/11.68 X630 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X634:$i, 86.47/11.68 X636:$i, 86.47/11.68 X638:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X638 @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X634 @ 86.47/11.68 X636 ) ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X638 @ 86.47/11.68 X634 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X640:$i, 86.47/11.68 X642:$i]: 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X640 @ 86.47/11.68 X642 ) @ 86.47/11.68 X640 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X644:$i, 86.47/11.68 X646:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X644 @ 86.47/11.68 X646 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X644 @ 86.47/11.68 X646 ) = 86.47/11.68 ( 86.47/11.68 X644 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X648:$i, 86.47/11.68 X650:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X648 @ 86.47/11.68 X650 ) = 86.47/11.68 ( 86.47/11.68 X650 ) ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X650 @ 86.47/11.68 X648 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X652:$i, 86.47/11.68 X654:$i, 86.47/11.68 X656:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X656 @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X652 @ 86.47/11.68 X654 ) ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X656 @ 86.47/11.68 X654 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X658:$i, 86.47/11.68 X660:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 ?[ 86.47/11.68 X662:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X662 @ 86.47/11.68 X658 ) & 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X662 @ 86.47/11.68 X660 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X658 @ 86.47/11.68 X660 ) = 86.47/11.68 ( 86.47/11.68 emptyset ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X664:$i, 86.47/11.68 X666:$i]: 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X664 @ 86.47/11.68 X666 ) @ 86.47/11.68 X666 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X668:$i, 86.47/11.68 X670:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X670 @ 86.47/11.68 X668 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X668 @ 86.47/11.68 X670 ) = 86.47/11.68 ( 86.47/11.68 X670 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X672:$i, 86.47/11.68 X674:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X672 @ 86.47/11.68 X674 ) = 86.47/11.68 ( 86.47/11.68 X672 ) ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X672 @ 86.47/11.68 X674 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X676:$i, 86.47/11.68 X678:$i, 86.47/11.68 X680:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X676 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X678 @ 86.47/11.68 X680 ) ) = 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X676 @ 86.47/11.68 X678 ) @ 86.47/11.68 ( 86.47/11.68 binintersect 86.47/11.68 @ 86.47/11.68 X676 @ 86.47/11.68 X680 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X682:$i, 86.47/11.68 X684:$i, 86.47/11.68 X686:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X686 @ 86.47/11.68 X682 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X686 @ 86.47/11.68 X684 ) ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X686 @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X682 @ 86.47/11.68 X684 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X688:$i, 86.47/11.68 X690:$i, 86.47/11.68 X692:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X692 @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X688 @ 86.47/11.68 X690 ) ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X692 @ 86.47/11.68 X688 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X694:$i, 86.47/11.68 X696:$i, 86.47/11.68 X698:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X698 @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X694 @ 86.47/11.68 X696 ) ) => 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X698 @ 86.47/11.68 X696 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X700:$i, 86.47/11.68 X702:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X700 @ 86.47/11.68 X702 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X700 @ 86.47/11.68 X702 ) = 86.47/11.68 ( 86.47/11.68 emptyset ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X704:$i, 86.47/11.68 X706:$i, 86.47/11.68 X708:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X708 @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X704 @ 86.47/11.68 X706 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X708 @ 86.47/11.68 X704 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X708 @ 86.47/11.68 X706 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X710:$i, 86.47/11.68 X712:$i, 86.47/11.68 X714:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X714 @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X710 @ 86.47/11.68 X712 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X714 @ 86.47/11.68 X712 ) ) => 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X714 @ 86.47/11.68 X710 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X716:$i, 86.47/11.68 X718:$i, 86.47/11.68 X720:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X720 @ 86.47/11.68 X716 ) ) => 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X720 @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X716 @ 86.47/11.68 X718 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X722:$i, 86.47/11.68 X724:$i, 86.47/11.68 X726:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X726 @ 86.47/11.68 X724 ) => 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X726 @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X722 @ 86.47/11.68 X724 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X728:$i, 86.47/11.68 X730:$i]: 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X728 @ 86.47/11.68 X730 ) @ 86.47/11.68 X728 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X732:$i, 86.47/11.68 X734:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 setminus 86.47/11.68 @ 86.47/11.68 X732 @ 86.47/11.68 X734 ) = 86.47/11.68 ( 86.47/11.68 emptyset ) ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 X732 @ 86.47/11.68 X734 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X736:$i, 86.47/11.68 X738:$i, 86.47/11.68 X740:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X740 @ 86.47/11.68 ( 86.47/11.68 symdiff @ 86.47/11.68 X736 @ 86.47/11.68 X738 ) ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X742:$o]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X740 @ 86.47/11.68 X736 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X740 @ 86.47/11.68 X738 ) ) => 86.47/11.68 ( 86.47/11.68 X742 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X740 @ 86.47/11.68 X736 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X740 @ 86.47/11.68 X738 ) => 86.47/11.68 ( 86.47/11.68 X742 ) ) ) => 86.47/11.68 ( 86.47/11.68 X742 ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X744:$i, 86.47/11.68 X746:$i, 86.47/11.68 X748:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X748 @ 86.47/11.68 X744 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X748 @ 86.47/11.68 X746 ) ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X748 @ 86.47/11.68 ( 86.47/11.68 symdiff @ 86.47/11.68 X744 @ 86.47/11.68 X746 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X750:$i, 86.47/11.68 X752:$i, 86.47/11.68 X754:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X754 @ 86.47/11.68 X750 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X754 @ 86.47/11.68 X752 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X754 @ 86.47/11.68 ( 86.47/11.68 symdiff @ 86.47/11.68 X750 @ 86.47/11.68 X752 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X756:$i, 86.47/11.68 X758:$i, 86.47/11.68 X760:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X760 @ 86.47/11.68 X756 ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X760 @ 86.47/11.68 X758 ) => 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X760 @ 86.47/11.68 ( 86.47/11.68 symdiff @ 86.47/11.68 X756 @ 86.47/11.68 X758 ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X762:$i, 86.47/11.68 X764:$i, 86.47/11.68 X766:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X766 @ 86.47/11.68 X762 ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X766 @ 86.47/11.68 X764 ) ) => 86.47/11.68 ( 86.47/11.68 ~ 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X766 @ 86.47/11.68 ( 86.47/11.68 symdiff @ 86.47/11.68 X762 @ 86.47/11.68 X764 ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X768:$i, 86.47/11.68 X770:$i]: 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X770 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X768 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X770 @ 86.47/11.68 emptyset ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X772:$i, 86.47/11.68 X774:$i]: 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X772 @ 86.47/11.68 ( 86.47/11.68 setunion 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X772 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X772 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X774 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X776:$i, 86.47/11.68 X778:$i]: 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X778 @ 86.47/11.68 ( 86.47/11.68 setunion 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X776 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X776 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X778 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X780:$i, 86.47/11.68 X782:$i]: 86.47/11.68 ( 86.47/11.68 ?[ 86.47/11.68 X784:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X784 @ 86.47/11.68 ( 86.47/11.68 setunion 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X780 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X780 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X782 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) & 86.47/11.68 ( 86.47/11.68 ?[ 86.47/11.68 X786:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X786 @ 86.47/11.68 ( 86.47/11.68 setunion 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X780 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X780 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X782 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) & 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X780 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X780 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X782 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) = 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X784 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X784 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X786 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X788:$i, 86.47/11.68 X790:$i]: 86.47/11.68 ( 86.47/11.68 ?[ 86.47/11.68 X792:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X792 @ 86.47/11.68 ( 86.47/11.68 setunion 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X788 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X788 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X790 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) & 86.47/11.68 ( 86.47/11.68 ?[ 86.47/11.68 X794:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X794 @ 86.47/11.68 ( 86.47/11.68 setunion 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X788 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X788 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X790 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) & 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X788 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X788 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X790 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) = 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X792 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X792 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X794 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X796:$i, 86.47/11.68 X798:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X798 @ 86.47/11.68 X796 ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X798 @ 86.47/11.68 emptyset ) @ 86.47/11.68 X796 ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X800:$i, 86.47/11.68 X802:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X802 @ 86.47/11.68 X800 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X802 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 X800 ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X804:$i, 86.47/11.68 X806:$i, 86.47/11.68 X808:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X808 @ 86.47/11.68 X804 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X808 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X804 @ 86.47/11.68 X806 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X810:$i, 86.47/11.68 X812:$i, 86.47/11.68 X814:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X814 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X810 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X812 @ 86.47/11.68 emptyset ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 X814 ) = 86.47/11.68 ( 86.47/11.68 X812 ) ) | 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 X814 ) = 86.47/11.68 ( 86.47/11.68 X810 ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X816:$i, 86.47/11.68 X818:$i, 86.47/11.68 X820:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X820 @ 86.47/11.68 X816 ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X822:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X822 @ 86.47/11.68 X818 ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X820 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X822 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X816 @ 86.47/11.68 X818 ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X824:$i, 86.47/11.68 X826:$i, 86.47/11.68 X828:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X828 @ 86.47/11.68 X824 ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X830:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X830 @ 86.47/11.68 X826 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X828 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X830 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X824 @ 86.47/11.68 X826 ) ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X832:$i, 86.47/11.68 X834:$i, 86.47/11.68 X836:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X836 @ 86.47/11.68 X832 ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X838:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X838 @ 86.47/11.68 X834 ) => 86.47/11.68 ( 86.47/11.68 subset @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X836 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X836 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X838 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X832 @ 86.47/11.68 X834 ) ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X840:$i, 86.47/11.68 X842:$i, 86.47/11.68 X844:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X844 @ 86.47/11.68 X840 ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X846:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X846 @ 86.47/11.68 X842 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X844 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X844 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X846 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X840 @ 86.47/11.68 X842 ) ) ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X848:$i, 86.47/11.68 X850:$i, 86.47/11.68 X852:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X852 @ 86.47/11.68 X848 ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X854:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X854 @ 86.47/11.68 X850 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X852 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X852 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X854 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X848 @ 86.47/11.68 X850 ) ) ) ) ) ) ) ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X856:$i, 86.47/11.68 X858:$i, 86.47/11.68 X860:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X860 @ 86.47/11.68 X856 ) => 86.47/11.68 ( 86.47/11.68 ![ 86.47/11.68 X862:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X862 @ 86.47/11.68 X858 ) => 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X860 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X860 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X862 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 ( 86.47/11.68 dsetconstr 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 powerset 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 binunion 86.47/11.68 @ 86.47/11.68 X856 @ 86.47/11.68 X858 ) ) ) @ 86.47/11.68 ( 86.47/11.68 ^[ 86.47/11.68 V_15:$i]: 86.47/11.68 ( 86.47/11.68 ?[ 86.47/11.68 X864:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X864 @ 86.47/11.68 X856 ) & 86.47/11.68 ( 86.47/11.68 ?[ 86.47/11.68 X866:$i]: 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 X866 @ 86.47/11.68 X858 ) & 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 V_15 ) = 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X864 @ 86.47/11.68 emptyset ) @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X864 @ 86.47/11.68 ( 86.47/11.68 setadjoin 86.47/11.68 @ 86.47/11.68 X866 @ 86.47/11.68 emptyset ) ) @ 86.47/11.68 emptyset ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )), 86.47/11.68 inference('cnf.neg', [status(esa)], [zf_stmt_0])). 86.47/11.68 thf(zip_derived_cl0, plain, 86.47/11.68 (~ (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ (^[Y1 : $i]: 86.47/11.68 (((((!!) @ (^[Y2 : $i]: 86.47/11.68 (((in @ Y2 @ Y0) <=> (in @ 86.47/11.68 Y2 @ Y1)))))) => 86.47/11.68 (((Y0) = (Y1))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ (^[Y1 : $i]: 86.47/11.68 (((!!) @ (^[Y2 : $i]: 86.47/11.68 (((in @ Y2 @ 86.47/11.68 (setadjoin @ Y0 @ Y1)) <=> 86.47/11.68 (((in @ Y2 @ Y1) | 86.47/11.68 (((Y2) = (Y0)))))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ (^[Y1 : $i]: 86.47/11.68 (((in @ Y1 @ (powerset @ Y0)) <=> 86.47/11.68 (((!!) @ (^[Y2 : $i]: 86.47/11.68 (((in @ Y2 @ Y1) => 86.47/11.68 (in @ Y2 @ Y0)))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ (^[Y1 : $i]: 86.47/11.68 (((in @ Y1 @ (setunion @ Y0)) <=> 86.47/11.68 (((??) @ (^[Y2 : $i]: 86.47/11.68 (((in @ Y1 @ Y2) & 86.47/11.68 (in @ Y2 @ Y0)))))))))))))) => 86.47/11.68 (((in @ emptyset @ omega) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((in @ Y0 @ omega) => (in @ 86.47/11.68 (setadjoin @ Y0 @ Y0) @ omega)))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((((((!!) @ (^[Y1 : $i]: 86.47/11.68 (((((in @ Y1 @ Y0) & 86.47/11.68 (in @ Y1 @ omega))) => 86.47/11.68 (in @ 86.47/11.68 (setadjoin @ Y1 @ Y1) @ 86.47/11.68 Y0)))))) & 86.47/11.68 (in @ emptyset @ Y0))) => 86.47/11.68 (((!!) @ (^[Y1 : $i]: 86.47/11.68 (((in @ Y1 @ omega) => 86.47/11.68 (in @ Y1 @ Y0))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.47/11.68 (((!!) @ (^[Y1 : $i]: 86.47/11.68 (((((!!) @ (^[Y2 : $i]: 86.47/11.68 (((in @ Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (((??) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2 @ 86.47/11.68 Y3) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2 @ 86.47/11.68 Y4) => 86.47/11.68 (( 86.47/11.68 (Y3) = 86.47/11.68 (Y4)))))))))))))))))) => 86.47/11.68 (((??) @ (^[Y2 : $i]: 86.47/11.68 (((!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y3 @ 86.47/11.68 Y2) <=> 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y4 @ 86.47/11.68 Y1) & 86.47/11.68 (Y0 @ 86.47/11.68 Y4 @ Y3)))))))))))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.47/11.68 (((??) @ (^[Y1 : $i]: 86.47/11.68 (((in @ Y1 @ Y0) & 86.47/11.68 (((~) @ (((??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) & 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y0)))))))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((??) @ (^[Y1 : $i]: 86.47/11.68 (((((!!) @ (^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y3 @ 86.47/11.68 Y2) => 86.47/11.68 (in @ 86.47/11.68 Y3 @ Y0))))))))))) & 86.47/11.68 (((!!) @ (^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y3 @ 86.47/11.68 Y0) & 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y0))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y4 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y4) <=> 86.47/11.68 (in @ 86.47/11.68 Y3 @ Y4)))))))) => 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))))))))))))) & 86.47/11.68 (((!!) @ (^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y3 @ 86.47/11.68 Y1) & 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y1))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y4 @ 86.47/11.68 Y3) => 86.47/11.68 (in @ 86.47/11.68 Y4 @ Y2)))))) | 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y4 @ 86.47/11.68 Y2) => 86.47/11.68 (in @ 86.47/11.68 Y4 @ Y3)))))))))))))))) & 86.47/11.68 (((!!) @ (^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y3 @ Y2)))) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y3 @ 86.47/11.68 Y2) => 86.47/11.68 (in @ 86.47/11.68 Y3 @ Y0)))))))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (( 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 Y3 @ Y1) & 86.47/11.68 ( 86.47/11.68 in @ 86.47/11.68 Y4 @ Y2) & 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 (~) @ ( 86.47/11.68 ( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y5 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y5 @ 86.47/11.68 Y3) & 86.47/11.68 (in @ 86.47/11.68 Y5 @ Y2)))))))) & 86.47/11.68 ( 86.47/11.68 ( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y5 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y5 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y4 @ 86.47/11.68 Y5) | 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y6 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y6 @ 86.47/11.68 Y5) => 86.47/11.68 (in @ 86.47/11.68 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i > $o]: 86.47/11.68 (((((??) @ (^[Y1 : $i]: 86.47/11.68 (((Y0 @ Y1) & 86.47/11.68 (((!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (((Y0 @ Y2) => 86.47/11.68 (((Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (Y0 @ 86.47/11.68 (descr @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ (^[Y1 : $i > $o]: 86.47/11.68 (((!!) @ (^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (Y1 @ 86.47/11.68 Y2) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (Y1 @ Y3))))))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ (^[Y1 : $i > $o]: 86.47/11.68 (((!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (((in @ Y2 @ 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 (^[Y3 : $i]: 86.47/11.68 (Y1 @ Y3)))) => 86.47/11.68 (in @ Y2 @ 86.47/11.68 Y0)))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ (^[Y1 : $i > $o]: 86.47/11.68 (((!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (((in @ 86.47/11.68 Y2 @ 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (Y1 @ Y3)))) => 86.47/11.68 (Y1 @ Y2)))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i > $o]: 86.47/11.68 (((((??) @ (^[Y1 : $i]: 86.47/11.68 (((Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (((??) @ (^[Y1 : $i]: 86.47/11.68 (((Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2)))))))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $o]: 86.47/11.68 (((!!) @ (^[Y1 : $i]: 86.47/11.68 (((in @ 86.47/11.68 Y1 @ 86.47/11.68 (prop2set @ 86.47/11.68 Y0)) => 86.47/11.68 (Y0))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((in @ Y0 @ 86.47/11.68 emptyset) => 86.47/11.68 (((!!) @ (^[Y1 : $o]: 86.47/11.68 (Y1))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((~) @ (in @ Y0 @ 86.47/11.68 emptyset)))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((~) @ (in @ 86.47/11.68 Y0 @ 86.47/11.68 emptyset)))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i > $o]: 86.47/11.68 (((((??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (((??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (Y0 @ Y1))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y1)))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y0)))))) => 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))))))))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (((( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 in @ 86.47/11.68 Y1 @ Y0)))))) => 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (emptyset)))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 in @ 86.47/11.68 Y1 @ Y0)))))) => 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (emptyset)))))))) => 86.47/11.68 (((((!!) @ (^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (Y1 @ Y3)))) <=> 86.47/11.68 (Y1 @ Y2)))))))))))))) => 86.47/11.68 (((((!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (((((Y0) != 86.47/11.68 (emptyset))) => 86.47/11.68 (((??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y1 @ Y0))))))))) => 86.47/11.68 (((((!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (((!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (Y1 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (Y1 @ Y3))) != 86.47/11.68 (emptyset)))))))))))))))) => 86.47/11.68 (((((!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y1 @ Y0)))) => 86.47/11.68 (( 86.47/11.68 (Y0) != 86.47/11.68 (emptyset)))))))) => 86.47/11.68 (((((!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y0 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y0 @ Y1)))))))) => 86.47/11.68 (((in @ 86.47/11.68 emptyset @ 86.47/11.68 (setadjoin @ 86.47/11.68 emptyset @ 86.47/11.68 emptyset)) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y0 @ Y1))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y0 @ Y1)) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y0))) => 86.47/11.68 (Y3))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (Y3))) => 86.47/11.68 (Y3))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y0 @ Y1)) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) | 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y0)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 ($true))) = 86.47/11.68 (Y0)))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y0)))))) => 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 Y0)))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (in @ 86.47/11.68 emptyset @ 86.47/11.68 (powerset @ 86.47/11.68 Y0))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (in @ 86.47/11.68 emptyset @ 86.47/11.68 (powerset @ 86.47/11.68 Y0))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 Y0)) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y0)))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 setunion @ 86.47/11.68 Y0))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 setunion @ 86.47/11.68 Y0)) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 Y3) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y3 @ 86.47/11.68 Y0) => 86.47/11.68 (Y2)))))))) => 86.47/11.68 (Y2)))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 ( 86.47/11.68 setunion @ 86.47/11.68 Y0))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) <=> 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y1)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) != 86.47/11.68 (emptyset))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y1 @ Y0))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset)) => 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) != 86.47/11.68 (Y1))) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y0 @ 86.47/11.68 emptyset)))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (in @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset)))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset)) => 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y0 @ 86.47/11.68 emptyset)))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y1))) | 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y0)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y0 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y0 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y0 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) & 86.47/11.68 (Y1 @ Y2)))))) => 86.47/11.68 (( 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (Y1 @ Y2))) != 86.47/11.68 (emptyset))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset) => 86.47/11.68 (Y0 @ Y1))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 ( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (Y1 @ Y2)))))))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) & 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 Y1 @ Y2)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 Y1 @ Y2)))))))) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 ( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) & 86.47/11.68 (Y1 @ Y2)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 ( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) & 86.47/11.68 (Y1 @ Y2)))))))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 Y1 @ Y2)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) & 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 Y1 @ Y2)))))))) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 ( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (Y1 @ Y2)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $o]: 86.47/11.68 (( 86.47/11.68 (Y0) => 86.47/11.68 (in @ 86.47/11.68 emptyset @ 86.47/11.68 ( 86.47/11.68 prop2set @ 86.47/11.68 Y0))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $o]: 86.47/11.68 (( 86.47/11.68 (Y0) => 86.47/11.68 (set2prop @ 86.47/11.68 ( 86.47/11.68 prop2set @ 86.47/11.68 Y0))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 ( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) & 86.47/11.68 (Y1 @ Y2)))))))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 Y1 @ Y2)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 ( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (Y1 @ Y2)))))))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) & 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 Y1 @ Y2)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2)))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (Y0 @ Y1)))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2)))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) <=> 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y1))))))))))) => 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2)))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y3 @ Y1))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) <=> 86.47/11.68 (in @ 86.47/11.68 Y3 @ Y1))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2)))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))) => 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) <=> 86.47/11.68 (Y1 @ Y3))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y3) => 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))))))))))))) <=> 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y1 @ 86.47/11.68 Y2) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (Y1 @ 86.47/11.68 Y3) => 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))))))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (emptyset) = 86.47/11.68 (emptyset))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))) => 86.47/11.68 (( 86.47/11.68 (setadjoin @ 86.47/11.68 Y0 @ 86.47/11.68 Y2) = 86.47/11.68 (setadjoin @ 86.47/11.68 Y1 @ Y3))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (( 86.47/11.68 (powerset @ 86.47/11.68 Y0) = 86.47/11.68 (powerset @ 86.47/11.68 Y1))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (( 86.47/11.68 (setunion @ 86.47/11.68 Y0) = 86.47/11.68 (setunion @ 86.47/11.68 Y1))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (omega) = 86.47/11.68 (omega))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2))))))))))))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (( 86.47/11.68 (Y1) = 86.47/11.68 (Y2)))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))) => 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) <=> 86.47/11.68 (Y1 @ Y3))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y2) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (Y0 @ 86.47/11.68 Y3) => 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (??) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (Y1 @ 86.47/11.68 Y2) & 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i]: 86.47/11.68 (( 86.47/11.68 (Y1 @ 86.47/11.68 Y3) => 86.47/11.68 (( 86.47/11.68 (Y2) = 86.47/11.68 (Y3))))))))))))) => 86.47/11.68 (( 86.47/11.68 (descr @ 86.47/11.68 ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (Y0 @ Y2))) = 86.47/11.68 (descr @ 86.47/11.68 ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (Y1 @ Y2))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $i > $o]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y4 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y5 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y5 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y4) = 86.47/11.68 (Y5))) => 86.47/11.68 (( 86.47/11.68 (Y2 @ 86.47/11.68 Y4) <=> 86.47/11.68 (Y3 @ Y5))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (Y2 @ Y4))) = 86.47/11.68 (dsetconstr @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 ^[Y4 : $i]: 86.47/11.68 (Y3 @ Y4))))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y1)))))) => 86.47/11.68 (subset @ 86.47/11.68 Y0 @ Y1))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (subset @ 86.47/11.68 Y1 @ Y0))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))) => 86.47/11.68 (subset @ 86.47/11.68 Y0 @ Y1))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y1)))))) => 86.47/11.68 (subset @ 86.47/11.68 Y0 @ Y1))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (subset @ 86.47/11.68 emptyset @ 86.47/11.68 Y0)))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y1)))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 in @ 86.47/11.68 Y2 @ Y1))) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 in @ 86.47/11.68 Y2 @ Y0)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 in @ 86.47/11.68 Y2 @ Y1))) => 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 subset @ 86.47/11.68 Y0 @ Y1)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 subset @ 86.47/11.68 Y0 @ Y1))) => 86.47/11.68 (( 86.47/11.68 (Y0) != 86.47/11.68 (Y1))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (~) @ ( 86.47/11.68 in @ 86.47/11.68 Y2 @ Y1))) => 86.47/11.68 (( 86.47/11.68 (Y0) != 86.47/11.68 (Y1)))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (subset @ 86.47/11.68 Y0 @ Y0)))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y1 @ 86.47/11.68 Y2) => 86.47/11.68 (subset @ 86.47/11.68 Y0 @ Y2)))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (subset @ 86.47/11.68 Y1 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y0 @ Y1)))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 Y2) => 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 setadjoin @ 86.47/11.68 Y1 @ Y2))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (in @ 86.47/11.68 Y0 @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 Y1)))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y1 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (Y1))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 emptyset) => 86.47/11.68 (( 86.47/11.68 (Y0) = 86.47/11.68 (emptyset)))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y1 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 Y0)))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 Y0)) => 86.47/11.68 (subset @ 86.47/11.68 Y1 @ Y0))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y0 @ 86.47/11.68 (powerset @ 86.47/11.68 Y0))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 Y1) => 86.47/11.68 (subset @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 Y0) @ 86.47/11.68 ( 86.47/11.68 powerset @ 86.47/11.68 Y1)))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (in @ 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 (^[Y2 : $i]: 86.47/11.68 (Y1 @ Y2))) @ 86.47/11.68 (powerset @ 86.47/11.68 Y0)))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i > $o]: 86.47/11.68 (subset @ 86.47/11.68 (dsetconstr @ 86.47/11.68 Y0 @ 86.47/11.68 (^[Y2 : $i]: 86.47/11.68 (Y1 @ Y2))) @ 86.47/11.68 Y0))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 binunion @ 86.47/11.68 Y0 @ Y1))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (in @ 86.47/11.68 Y1 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y0 @ 86.47/11.68 (setadjoin @ 86.47/11.68 Y1 @ 86.47/11.68 emptyset))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 binunion @ 86.47/11.68 Y0 @ Y1))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y3 : $o]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 binunion @ 86.47/11.68 Y0 @ Y1)) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (Y3))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (Y3))) => 86.47/11.68 (Y3))))))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 binunion @ 86.47/11.68 Y0 @ Y1)) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) | 86.47/11.68 (in @ 86.47/11.68 Y2 @ Y0)))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (subset @ 86.47/11.68 Y0 @ 86.47/11.68 (binunion @ 86.47/11.68 Y0 @ Y1)))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (subset @ 86.47/11.68 Y1 @ 86.47/11.68 (binunion @ 86.47/11.68 Y0 @ Y1)))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (in @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 binintersect @ 86.47/11.68 Y0 @ Y1))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y0 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y1 : $i]: 86.47/11.68 (( 86.47/11.68 (!!) @ ( 86.47/11.68 ^[Y2 : $i]: 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y2 @ 86.47/11.68 Y0) => 86.47/11.68 (( 86.47/11.68 (subset @ 86.47/11.68 Y2 @ 86.47/11.68 Y1) => 86.47/11.68 (subset @ 86.47/11.68 Y2 @ 86.47/11.68 ( 86.47/11.68 binintersect @ 86.47/11.68 Y0 @ Y1))))))))))))))) => 86.47/11.68 (( 86.47/11.68 (( 86.74/11.68 (!!) @ ( 86.74/11.68 ^[Y0 : $i]: 86.74/11.68 (( 86.74/11.68 (!!) @ ( 86.74/11.68 ^[Y1 : $i]: 86.74/11.68 (( 86.74/11.68 (!!) @ ( 86.74/11.68 ^[Y2 : $i]: 86.74/11.68 (( 86.74/11.68 (in @ 86.74/11.68 Y2 @ 86.74/11.68 ( 86.74/11.68 binintersect @ 86.74/11.68 Y0 @ Y1)) => 86.74/11.68 (in @ 86.74/11.68 Y2 @ Y0)))))))))))) => 86.74/11.68 (( 86.74/11.68 (( 86.74/11.68 (!!) @ ( 86.74/11.68 ^[Y0 : $i]: 86.74/11.68 (( 86.74/11.68 (!!) @ ( 86.74/11.68 ^[Y1 : $i]: 86.74/11.68 (subset @ 86.74/11.68 (binintersect @ 86.74/11.68 Y0 @ Y1) @ 86.74/11.68 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y0))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y1))) => 86.74/11.69 (subset @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))))) => 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (emptyset))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 Y1))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y0))) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y1 @ Y2)) = 86.74/11.69 (binunion @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (setminus @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (emptyset))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 (setminus @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (setminus @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (emptyset))) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (Y3))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (Y3))))) => 86.74/11.69 (Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 (setunion @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 (setunion @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) = 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) = 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (subset @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset) @ 86.74/11.69 Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1))) | 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (subset @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 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(((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y2 @ 86.74/11.69 (setadjoin @ Y0 @ Y1)) <=> 86.74/11.69 (((in @ Y2 @ Y1) | 86.74/11.69 (((Y2) = (Y0)))))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((in @ Y1 @ (powerset @ Y0)) <=> 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y2 @ Y1) => 86.74/11.69 (in @ Y2 @ Y0)))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((in @ Y1 @ (setunion @ Y0)) <=> 86.74/11.69 (((??) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y1 @ Y2) & 86.74/11.69 (in @ Y2 @ Y0)))))))))))))) => 86.74/11.69 (((in @ emptyset @ omega) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((in @ Y0 @ omega) => (in @ 86.74/11.69 (setadjoin @ Y0 @ Y0) @ omega)))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((((((!!) @ (^[Y1 : $i]: 86.74/11.69 (((((in @ Y1 @ Y0) & 86.74/11.69 (in @ Y1 @ omega))) => 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86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (((in @ 86.74/11.69 Y2 @ 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (Y1 @ Y2)))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.69 (((((??) @ (^[Y1 : $i]: 86.74/11.69 (((Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (((??) @ (^[Y1 : $i]: 86.74/11.69 (((Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $o]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((in @ 86.74/11.69 Y1 @ 86.74/11.69 (prop2set @ 86.74/11.69 Y0)) => 86.74/11.69 (Y0))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((in @ Y0 @ 86.74/11.69 emptyset) => 86.74/11.69 (((!!) @ (^[Y1 : $o]: 86.74/11.69 (Y1))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((~) @ (in @ Y0 @ 86.74/11.69 emptyset)))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((~) @ (in @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset)))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.69 (((((??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (((??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (Y0 @ Y1))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y1 @ Y0)))))) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (emptyset)))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y1 @ Y0)))))) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (emptyset)))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 dsetconstr @ 86.74/11.69 Y0 @ Y1)) <=> 86.74/11.69 (Y1 @ Y2)))))))))))))) => 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (((((Y0) != 86.74/11.69 (emptyset))) => 86.74/11.69 (((??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) != 86.74/11.69 (emptyset)))))))))))))))) => 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ Y0)))) => 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (emptyset)))))))) => 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ Y1)))))))) => 86.74/11.69 (((in @ 86.74/11.69 emptyset @ 86.74/11.69 (setadjoin @ 86.74/11.69 emptyset @ 86.74/11.69 emptyset)) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ Y1))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0))) => 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (Y3))) => 86.74/11.69 (Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) | 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 ($true))) = 86.74/11.69 (Y0)))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (in @ 86.74/11.69 emptyset @ 86.74/11.69 (powerset @ 86.74/11.69 Y0))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (in @ 86.74/11.69 emptyset @ 86.74/11.69 (powerset @ 86.74/11.69 Y0))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 Y0))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 Y0)) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y0) => 86.74/11.69 (Y2)))))))) => 86.74/11.69 (Y2)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 Y0))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) <=> 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (emptyset))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset)))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1))) | 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))) => 86.74/11.69 (( 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) != 86.74/11.69 (emptyset))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset) => 86.74/11.69 (Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $o]: 86.74/11.69 (( 86.74/11.69 (Y0) => 86.74/11.69 (in @ 86.74/11.69 emptyset @ 86.74/11.69 ( 86.74/11.69 prop2set @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $o]: 86.74/11.69 (( 86.74/11.69 (Y0) => 86.74/11.69 (set2prop @ 86.74/11.69 ( 86.74/11.69 prop2set @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (Y0 @ Y1)))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) <=> 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y1))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) <=> 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y1))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) <=> 86.74/11.69 (Y1 @ Y3))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))))))))))))) <=> 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y2) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))))))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (emptyset) = 86.74/11.69 (emptyset))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 Y2) = 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (powerset @ 86.74/11.69 Y0) = 86.74/11.69 (powerset @ 86.74/11.69 Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (setunion @ 86.74/11.69 Y0) = 86.74/11.69 (setunion @ 86.74/11.69 Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (omega) = 86.74/11.69 (omega))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) <=> 86.74/11.69 (Y1 @ Y3))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y2) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))))))))))))) => 86.74/11.69 (( 86.74/11.69 (descr @ 86.74/11.69 Y0) = 86.74/11.69 (descr @ 86.74/11.69 Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y4 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y5 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y5 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y4) = 86.74/11.69 (Y5))) => 86.74/11.69 (( 86.74/11.69 (Y2 @ 86.74/11.69 Y4) <=> 86.74/11.69 (Y3 @ Y5))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ 86.74/11.69 Y2) = 86.74/11.69 (dsetconstr @ 86.74/11.69 Y1 @ Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (subset @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (subset @ 86.74/11.69 emptyset @ 86.74/11.69 Y0)))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 subset @ 86.74/11.69 Y0 @ Y1)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 subset @ 86.74/11.69 Y0 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (Y1)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y0)))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y1 @ 86.74/11.69 Y2) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y2)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 Y1 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ Y1)))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y1)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (emptyset)))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)) => 86.74/11.69 (subset @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 (powerset @ 86.74/11.69 Y0))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (subset @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y1)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (in @ 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 (powerset @ 86.74/11.69 Y0)))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (subset @ 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $o]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (Y3))) => 86.74/11.69 (Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) | 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 (binunion @ 86.74/11.69 Y0 @ Y1)))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 Y1 @ 86.74/11.69 (binunion @ 86.74/11.69 Y0 @ Y1)))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (subset @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y0))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y1))) => 86.74/11.69 (subset @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))))) => 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (emptyset))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 Y1))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (Y0))) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (binintersect @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y1 @ Y2)) = 86.74/11.69 (binunion @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 ( 86.74/11.69 binintersect @ 86.74/11.69 Y0 @ Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (subset @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (setminus @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (emptyset))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1)))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setminus @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (subset @ 86.74/11.69 (setminus @ 86.74/11.69 Y0 @ Y1) @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (setminus @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) = 86.74/11.69 (emptyset))) => 86.74/11.69 (subset @ 86.74/11.69 Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (Y3))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (Y3))))) => 86.74/11.69 (Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 symdiff @ 86.74/11.69 Y0 @ Y1))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 (setunion @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 (setunion @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 (setadjoin @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) = 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))) & 86.74/11.69 (( 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) = 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (subset @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset) @ 86.74/11.69 Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1))) | 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (subset @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (subset @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y3 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)) @ 86.74/11.69 ( 86.74/11.69 dsetconstr @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 binunion @ 86.74/11.69 Y0 @ Y1))) @ 86.74/11.69 ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y5 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y5 @ 86.74/11.69 Y0) & 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y6 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y6 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (Y4) = 86.74/11.69 (setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y5 @ 86.74/11.69 emptyset) @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y5 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y6 @ 86.74/11.69 emptyset)) @ 86.74/11.69 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.69 inference('ho_norm', [status(thm)], [zip_derived_cl0])). 86.74/11.69 thf(zip_derived_cl2, plain, 86.74/11.69 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((((!!) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y2 @ Y0) <=> (in @ 86.74/11.69 Y2 @ Y1)))))) => 86.74/11.69 (((Y0) = (Y1))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y2 @ 86.74/11.69 (setadjoin @ Y0 @ Y1)) <=> 86.74/11.69 (((in @ Y2 @ Y1) | 86.74/11.69 (((Y2) = (Y0)))))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((in @ Y1 @ (powerset @ Y0)) <=> 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y2 @ Y1) => 86.74/11.69 (in @ Y2 @ Y0)))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((in @ Y1 @ (setunion @ Y0)) <=> 86.74/11.69 (((??) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y1 @ Y2) & 86.74/11.69 (in @ Y2 @ Y0)))))))))))))) => 86.74/11.69 (((in @ emptyset @ omega) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((in @ Y0 @ omega) => (in @ 86.74/11.69 (setadjoin @ Y0 @ Y0) @ omega)))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((((((!!) @ (^[Y1 : $i]: 86.74/11.69 (((((in @ Y1 @ Y0) & 86.74/11.69 (in @ Y1 @ omega))) => 86.74/11.69 (in @ 86.74/11.69 (setadjoin @ Y1 @ Y1) @ 86.74/11.69 Y0)))))) & 86.74/11.69 (in @ emptyset @ Y0))) => 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((in @ Y1 @ omega) => 86.74/11.69 (in @ Y1 @ Y0))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((((!!) @ (^[Y2 : $i]: 86.74/11.69 (((in @ Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (((??) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2 @ 86.74/11.69 Y3) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2 @ 86.74/11.69 Y4) => 86.74/11.69 (( 86.74/11.69 (Y3) = 86.74/11.69 (Y4)))))))))))))))))) => 86.74/11.69 (((??) @ (^[Y2 : $i]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y2) <=> 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y4 @ 86.74/11.69 Y1) & 86.74/11.69 (Y0 @ 86.74/11.69 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.69 (((??) @ (^[Y1 : $i]: 86.74/11.69 (((in @ Y1 @ Y0) & 86.74/11.69 (((~) @ (((??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) & 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((??) @ (^[Y1 : $i]: 86.74/11.69 (((((!!) @ (^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y2) => 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y0))))))))))) & 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y0) & 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y4 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y4) <=> 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y4)))))))) => 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))))))))))))) & 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y1) & 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y4 @ 86.74/11.69 Y3) => 86.74/11.69 (in @ 86.74/11.69 Y4 @ Y2)))))) | 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y4 @ 86.74/11.69 Y2) => 86.74/11.69 (in @ 86.74/11.69 Y4 @ Y3)))))))))))))))) & 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y2)))) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y2) => 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y0)))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y4 : $i]: 86.74/11.69 (( 86.74/11.69 ( 86.74/11.69 in @ 86.74/11.69 Y3 @ Y1) & 86.74/11.69 ( 86.74/11.69 in @ 86.74/11.69 Y4 @ Y2) & 86.74/11.69 ( 86.74/11.69 ( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y5 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y5 @ 86.74/11.69 Y3) & 86.74/11.69 (in @ 86.74/11.69 Y5 @ Y2)))))))) & 86.74/11.69 ( 86.74/11.69 ( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y5 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y5 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y4 @ 86.74/11.69 Y5) | 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y6 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y6 @ 86.74/11.69 Y5) => 86.74/11.69 (in @ 86.74/11.69 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.69 (((((??) @ (^[Y1 : $i]: 86.74/11.69 (((Y0 @ Y1) & 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (((Y0 @ Y2) => 86.74/11.69 (((Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (Y0 @ (descr @ Y0))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.69 (((!!) @ (^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y2) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 dsetconstr @ 86.74/11.69 Y0 @ Y1))))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (((in @ Y2 @ 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (in @ Y2 @ 86.74/11.69 Y0)))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (((in @ 86.74/11.69 Y2 @ 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (Y1 @ Y2)))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $o]: 86.74/11.69 (((!!) @ (^[Y1 : $i]: 86.74/11.69 (((in @ Y1 @ 86.74/11.69 (prop2set @ 86.74/11.69 Y0)) => 86.74/11.69 (Y0))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((in @ Y0 @ 86.74/11.69 emptyset) => 86.74/11.69 (((!!) @ (^[Y1 : $o]: 86.74/11.69 (Y1))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((~) @ (in @ Y0 @ 86.74/11.69 emptyset)))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((~) @ (in @ Y0 @ 86.74/11.69 emptyset)))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.69 (((((??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (((Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (((??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (Y0 @ Y1))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (((( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y1)))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y1 @ Y0)))))) => 86.74/11.69 (((Y0) = 86.74/11.69 (emptyset)))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (((( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y1 @ Y0)))))) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (emptyset)))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 dsetconstr @ 86.74/11.69 Y0 @ Y1)) <=> 86.74/11.69 (Y1 @ Y2)))))))))))))) => 86.74/11.69 (((((!!) @ (^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (emptyset))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (((!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) != 86.74/11.69 (emptyset)))))))))))))))) => 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (((( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ Y0)))) => 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (emptyset)))))))) => 86.74/11.69 (((((!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ Y1)))))))) => 86.74/11.69 (((in @ 86.74/11.69 emptyset @ 86.74/11.69 (setadjoin @ 86.74/11.69 emptyset @ 86.74/11.69 emptyset)) => 86.74/11.69 (((( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ Y1))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0))) => 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (Y3))) => 86.74/11.69 (Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ Y1)) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) | 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 ($true))) = 86.74/11.69 (Y0)))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (in @ 86.74/11.69 emptyset @ 86.74/11.69 (powerset @ 86.74/11.69 Y0))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (in @ 86.74/11.69 emptyset @ 86.74/11.69 (powerset @ 86.74/11.69 Y0))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 Y0)) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y1) => 86.74/11.69 (in @ 86.74/11.69 Y2 @ Y0)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 Y0))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 Y0)) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y3 @ 86.74/11.69 Y0) => 86.74/11.69 (Y2)))))))) => 86.74/11.69 (Y2)))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 powerset @ 86.74/11.69 ( 86.74/11.69 setunion @ 86.74/11.69 Y0))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) <=> 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (emptyset))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ Y0))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) => 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) != 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset)))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset)) => 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 emptyset)))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 ( 86.74/11.69 setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1))) | 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y0)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))) => 86.74/11.69 (( 86.74/11.69 (dsetconstr @ 86.74/11.69 Y0 @ 86.74/11.69 Y1) != 86.74/11.69 (emptyset))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y1 @ 86.74/11.69 emptyset) => 86.74/11.69 (Y0 @ Y1))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $o]: 86.74/11.69 (( 86.74/11.69 (Y0) => 86.74/11.69 (in @ 86.74/11.69 emptyset @ 86.74/11.69 ( 86.74/11.69 prop2set @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $o]: 86.74/11.69 (( 86.74/11.69 (Y0) => 86.74/11.69 (set2prop @ 86.74/11.69 ( 86.74/11.69 prop2set @ 86.74/11.69 Y0))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 ( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (Y1 @ Y2)))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) & 86.74/11.69 (( 86.74/11.69 (~) @ ( 86.74/11.69 Y1 @ Y2)))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (Y0 @ Y1)))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) <=> 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) => 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y1))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (in @ 86.74/11.69 Y2 @ 86.74/11.69 Y0) <=> 86.74/11.69 (in @ 86.74/11.69 Y3 @ Y1))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2))))))))))))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y1) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) => 86.74/11.69 (( 86.74/11.69 (Y1) = 86.74/11.69 (Y2)))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i > $o]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) <=> 86.74/11.69 (Y1 @ Y3))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y2) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (Y0 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))))))))))))) <=> 86.74/11.69 (( 86.74/11.69 (??) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y2) & 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (Y1 @ 86.74/11.69 Y3) => 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))))))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y2 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y3 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y2) = 86.74/11.69 (Y3))) => 86.74/11.69 (( 86.74/11.69 (setadjoin @ 86.74/11.69 Y0 @ 86.74/11.69 Y2) = 86.74/11.69 (setadjoin @ 86.74/11.69 Y1 @ Y3))))))))))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (powerset @ 86.74/11.69 Y0) = 86.74/11.69 (powerset @ 86.74/11.69 Y1))))))))))) => 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y0 : $i]: 86.74/11.69 (( 86.74/11.69 (!!) @ ( 86.74/11.69 ^[Y1 : $i]: 86.74/11.69 (( 86.74/11.69 (( 86.74/11.69 (Y0) = 86.74/11.69 (Y1))) => 86.74/11.69 (( 86.74/11.69 (setunion @ 86.74/11.69 Y0) = 86.74/11.69 (setunion @ 86.74/11.69 Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2)))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) <=> 86.74/11.70 (Y1 @ Y3))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y2) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))) => 86.74/11.70 (( 86.74/11.70 (descr @ 86.74/11.70 Y0) = 86.74/11.70 (descr @ 86.74/11.70 Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y4) = 86.74/11.70 (Y5))) => 86.74/11.70 (( 86.74/11.70 (Y2 @ 86.74/11.70 Y4) <=> 86.74/11.70 (Y3 @ Y5))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ 86.74/11.70 Y2) = 86.74/11.70 (dsetconstr @ 86.74/11.70 Y1 @ Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (subset @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (subset @ 86.74/11.70 emptyset @ 86.74/11.70 Y0)))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 subset @ 86.74/11.70 Y0 @ Y1)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 subset @ 86.74/11.70 Y0 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (Y1)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y0)))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y2)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y1)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)) => 86.74/11.70 (subset @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 (powerset @ 86.74/11.70 Y0))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y1)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (in @ 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 (powerset @ 86.74/11.70 Y0)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (subset @ 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $o]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (Y3))) => 86.74/11.70 (Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) | 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 (binunion @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 (binunion @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y0))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y1))) => 86.74/11.70 (subset @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (emptyset))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y1))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y0))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y1 @ Y2)) = 86.74/11.70 (binunion @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (setminus @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (emptyset))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 (setminus @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (setminus @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (emptyset))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (Y3))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (Y3))))) => 86.74/11.70 (Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 (setunion @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 (setunion @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) = 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) = 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset) @ 86.74/11.70 Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y1))) | 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))) @ 86.74/11.70 ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y0) & 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y6 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y6 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (Y4) = 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y5 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y5 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y6 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.70 inference('simplify boolean subterms', [status(thm)], [zip_derived_cl1])). 86.74/11.70 thf(zip_derived_cl4, plain, 86.74/11.70 (~ (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ 86.74/11.70 (setadjoin @ Y0 @ Y1)) <=> 86.74/11.70 (((in @ Y2 @ Y1) | 86.74/11.70 (((Y2) = (Y0)))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ (powerset @ Y0)) <=> 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ Y1) => (in @ 86.74/11.70 Y2 @ Y0)))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ (setunion @ Y0)) <=> 86.74/11.70 (((??) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y1 @ Y2) & 86.74/11.70 (in @ Y2 @ Y0)))))))))))))) => 86.74/11.70 (((in @ emptyset @ omega) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((in @ Y0 @ omega) => (in @ 86.74/11.70 (setadjoin @ Y0 @ Y0) @ omega)))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((((!!) @ (^[Y1 : $i]: 86.74/11.70 (((((in @ Y1 @ Y0) & (in @ 86.74/11.70 Y1 @ omega))) => 86.74/11.70 (in @ 86.74/11.70 (setadjoin @ Y1 @ Y1) @ 86.74/11.70 Y0)))))) & 86.74/11.70 (in @ emptyset @ Y0))) => 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ omega) => (in @ 86.74/11.70 Y1 @ Y0))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (((??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2 @ 86.74/11.70 Y3) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2 @ 86.74/11.70 Y4) => 86.74/11.70 (( 86.74/11.70 (Y3) = 86.74/11.70 (Y4)))))))))))))))))) => 86.74/11.70 (((??) @ (^[Y2 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (((in @ 86.74/11.70 Y3 @ 86.74/11.70 Y2) <=> 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y1) & 86.74/11.70 (Y0 @ 86.74/11.70 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.70 (((??) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ Y0) & 86.74/11.70 (((~) @ (((??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (((in @ 86.74/11.70 Y2 @ Y1) & 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((??) @ (^[Y1 : $i]: 86.74/11.70 (((((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y0))))))))))) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y0) & 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y4) <=> 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y4)))))))) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) & 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y3) => 86.74/11.70 (in @ 86.74/11.70 Y4 @ Y2)))))) | 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y4 @ Y3)))))))))))))))) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y2)))) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y0)))))))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 ( 86.74/11.70 in @ 86.74/11.70 Y3 @ Y1) & 86.74/11.70 ( 86.74/11.70 in @ 86.74/11.70 Y4 @ Y2) & 86.74/11.70 ( 86.74/11.70 ( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y3) & 86.74/11.70 (in @ 86.74/11.70 Y5 @ Y2)))))))) & 86.74/11.70 ( 86.74/11.70 ( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y5) | 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y6 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y6 @ 86.74/11.70 Y5) => 86.74/11.70 (in @ 86.74/11.70 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.70 (((((??) @ (^[Y1 : $i]: 86.74/11.70 (((Y0 @ Y1) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (Y0 @ (descr @ Y0))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (Y1 @ Y2)))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $o]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ 86.74/11.70 (prop2set @ Y0)) => 86.74/11.70 (Y0))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((in @ Y0 @ emptyset) => 86.74/11.70 (((!!) @ (^[Y1 : $o]: 86.74/11.70 (Y1))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((~) @ (in @ Y0 @ 86.74/11.70 emptyset)))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((~) @ (in @ Y0 @ 86.74/11.70 emptyset)))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.70 (((((??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (((Y0 @ Y1) & 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (((??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (Y0 @ Y1))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))) => 86.74/11.70 (((( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y1 @ Y0)))))) => 86.74/11.70 (((Y0) = 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y1 @ Y0)))))) => 86.74/11.70 (((Y0) = 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 Y0 @ Y1)) <=> 86.74/11.70 (Y1 @ Y2)))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (emptyset))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) != 86.74/11.70 (emptyset)))))))))))))))) => 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (((((??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ Y0)))) => 86.74/11.70 (((Y0) != 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (((in @ 86.74/11.70 emptyset @ 86.74/11.70 (setadjoin @ 86.74/11.70 emptyset @ 86.74/11.70 emptyset)) => 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ Y1))))))))))))) => 86.74/11.70 (((( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y0))) => 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (Y3))) => 86.74/11.70 (Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) | 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 ($true))) = 86.74/11.70 (Y0)))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (in @ 86.74/11.70 emptyset @ 86.74/11.70 (powerset @ 86.74/11.70 Y0))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (in @ 86.74/11.70 emptyset @ 86.74/11.70 (powerset @ 86.74/11.70 Y0))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 Y0))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 Y0)) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y0) => 86.74/11.70 (Y2)))))))) => 86.74/11.70 (Y2)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 Y0))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) <=> 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y1)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (emptyset))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset)))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y1))) | 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (Y1 @ Y2)))))) => 86.74/11.70 (( 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) != 86.74/11.70 (emptyset))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset) => 86.74/11.70 (Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (Y1 @ Y2)))))))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 Y1 @ Y2)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 Y1 @ Y2)))))))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (Y1 @ Y2)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (Y1 @ Y2)))))))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 Y1 @ Y2)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 Y1 @ Y2)))))))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (Y1 @ Y2)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $o]: 86.74/11.70 (( 86.74/11.70 (Y0) => 86.74/11.70 (in @ 86.74/11.70 emptyset @ 86.74/11.70 ( 86.74/11.70 prop2set @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $o]: 86.74/11.70 (( 86.74/11.70 (Y0) => 86.74/11.70 (set2prop @ 86.74/11.70 ( 86.74/11.70 prop2set @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (Y1 @ Y2)))))))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 Y1 @ Y2)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (Y1 @ Y2)))))))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 Y1 @ Y2)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (Y0 @ Y1)))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) <=> 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2)))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y1))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) <=> 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y1))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2)))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) <=> 86.74/11.70 (Y1 @ Y3))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))) <=> 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y2) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 Y2) = 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (powerset @ 86.74/11.70 Y0) = 86.74/11.70 (powerset @ 86.74/11.70 Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (setunion @ 86.74/11.70 Y0) = 86.74/11.70 (setunion @ 86.74/11.70 Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2)))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) <=> 86.74/11.70 (Y1 @ Y3))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y2) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))) => 86.74/11.70 (( 86.74/11.70 (descr @ 86.74/11.70 Y0) = 86.74/11.70 (descr @ 86.74/11.70 Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y4) = 86.74/11.70 (Y5))) => 86.74/11.70 (( 86.74/11.70 (Y2 @ 86.74/11.70 Y4) <=> 86.74/11.70 (Y3 @ Y5))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ 86.74/11.70 Y2) = 86.74/11.70 (dsetconstr @ 86.74/11.70 Y1 @ Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (subset @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (subset @ 86.74/11.70 emptyset @ 86.74/11.70 Y0)))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 subset @ 86.74/11.70 Y0 @ Y1)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 subset @ 86.74/11.70 Y0 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (Y1)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y0)))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y2)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y1)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)) => 86.74/11.70 (subset @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 (powerset @ 86.74/11.70 Y0))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y1)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (in @ 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 (powerset @ 86.74/11.70 Y0)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (subset @ 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $o]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (Y3))) => 86.74/11.70 (Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) | 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 (binunion @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 (binunion @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y0))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y1))) => 86.74/11.70 (subset @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) & 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))) => 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (emptyset))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y1))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (Y0))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (binintersect @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y1 @ Y2)) = 86.74/11.70 (binunion @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 ( 86.74/11.70 binintersect @ 86.74/11.70 Y0 @ Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (subset @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (setminus @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (emptyset))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1)))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setminus @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (subset @ 86.74/11.70 (setminus @ 86.74/11.70 Y0 @ Y1) @ 86.74/11.70 Y0))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (setminus @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) = 86.74/11.70 (emptyset))) => 86.74/11.70 (subset @ 86.74/11.70 Y0 @ Y1))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (Y3))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (Y3))))) => 86.74/11.70 (Y3))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 symdiff @ 86.74/11.70 Y0 @ Y1))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 (setunion @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 (setunion @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 (setadjoin @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 (setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) = 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))) & 86.74/11.70 (( 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) = 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset) @ 86.74/11.70 Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y1))) | 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (subset @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1)))))))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y3 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)) @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 binunion @ 86.74/11.70 Y0 @ Y1))) @ 86.74/11.70 ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y0) & 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y6 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y6 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (Y4) = 86.74/11.70 (setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y5 @ 86.74/11.70 emptyset) @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y5 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y6 @ 86.74/11.70 emptyset)) @ 86.74/11.70 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.70 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl2])). 86.74/11.70 thf(zip_derived_cl7, plain, 86.74/11.70 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ 86.74/11.70 (setadjoin @ Y0 @ Y1)) <=> 86.74/11.70 (((in @ Y2 @ Y1) | 86.74/11.70 (((Y2) = (Y0)))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ (powerset @ Y0)) <=> 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ Y1) => (in @ 86.74/11.70 Y2 @ Y0)))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ (setunion @ Y0)) <=> 86.74/11.70 (((??) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y1 @ Y2) & (in @ 86.74/11.70 Y2 @ Y0)))))))))))))) => 86.74/11.70 (((in @ emptyset @ omega) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((in @ Y0 @ omega) => (in @ 86.74/11.70 (setadjoin @ Y0 @ Y0) @ omega)))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((((!!) @ (^[Y1 : $i]: 86.74/11.70 (((((in @ Y1 @ Y0) & (in @ 86.74/11.70 Y1 @ omega))) => 86.74/11.70 (in @ 86.74/11.70 (setadjoin @ Y1 @ Y1) @ Y0)))))) & 86.74/11.70 (in @ emptyset @ Y0))) => 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ omega) => (in @ 86.74/11.70 Y1 @ Y0))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (((??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (((Y0 @ 86.74/11.70 Y2 @ Y3) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2 @ 86.74/11.70 Y4) => 86.74/11.70 (( 86.74/11.70 (Y3) = 86.74/11.70 (Y4)))))))))))))))))) => 86.74/11.70 (((??) @ (^[Y2 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (((in @ Y3 @ 86.74/11.70 Y2) <=> 86.74/11.70 (((??) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y1) & 86.74/11.70 (Y0 @ 86.74/11.70 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.70 (((??) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ Y0) & 86.74/11.70 (((~) @ (((??) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ 86.74/11.70 Y1) & (in @ 86.74/11.70 Y2 @ Y0)))))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((??) @ (^[Y1 : $i]: 86.74/11.70 (((((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y0))))))))))) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y0) & 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y4) <=> 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y4)))))))) => 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y3))))))))))))) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y1) & 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y3) => 86.74/11.70 (in @ 86.74/11.70 Y4 @ Y2)))))) | 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y4 @ Y3)))))))))))))))) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((((( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y2)))) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y3 @ Y0)))))))) => 86.74/11.70 (((??) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y4 : $i]: 86.74/11.70 (( 86.74/11.70 ( 86.74/11.70 in @ 86.74/11.70 Y3 @ Y1) & 86.74/11.70 ( 86.74/11.70 in @ 86.74/11.70 Y4 @ Y2) & 86.74/11.70 ( 86.74/11.70 ( 86.74/11.70 (~) @ ( 86.74/11.70 ( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y3) & 86.74/11.70 (in @ 86.74/11.70 Y5 @ Y2)))))))) & 86.74/11.70 ( 86.74/11.70 ( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y5 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y5 @ 86.74/11.70 Y1) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y4 @ 86.74/11.70 Y5) | 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y6 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y6 @ 86.74/11.70 Y5) => 86.74/11.70 (in @ 86.74/11.70 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.70 (((((??) @ (^[Y1 : $i]: 86.74/11.70 (((Y0 @ Y1) & 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (Y0 @ (descr @ Y0))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (((in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ Y1))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.70 (((!!) @ (^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (Y1 @ Y2)))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $o]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (((in @ Y1 @ 86.74/11.70 (prop2set @ Y0)) => 86.74/11.70 (Y0))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((in @ Y0 @ emptyset) => 86.74/11.70 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((~) @ (in @ Y0 @ 86.74/11.70 emptyset)))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((~) @ (in @ Y0 @ 86.74/11.70 emptyset)))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.70 (((((??) @ (^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (((??) @ (^[Y1 : $i]: 86.74/11.70 (Y0 @ Y1))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ (^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y1)))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (((~) @ ( 86.74/11.70 in @ Y1 @ 86.74/11.70 Y0)))))) => 86.74/11.70 (((Y0) = 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.70 in @ 86.74/11.70 Y1 @ Y0)))))) => 86.74/11.70 (((Y0) = 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 dsetconstr @ 86.74/11.70 Y0 @ Y1)) <=> 86.74/11.70 (Y1 @ Y2)))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (((( 86.74/11.70 (Y0) != 86.74/11.70 (emptyset))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (( 86.74/11.70 (Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ 86.74/11.70 Y1) != 86.74/11.70 (emptyset)))))))))))))))) => 86.74/11.70 (((((!!) @ (^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ Y0)))) => 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (emptyset)))))))) => 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (((!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ Y1)))))))) => 86.74/11.70 (((in @ 86.74/11.70 emptyset @ 86.74/11.70 (setadjoin @ 86.74/11.70 emptyset @ 86.74/11.70 emptyset)) => 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ Y1))))))))))))) => 86.74/11.70 (((((!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y0))) => 86.74/11.70 (Y3))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (Y3))) => 86.74/11.70 (Y3))))))))))))))))))) => 86.74/11.70 (((( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y0 @ Y1)) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) | 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y0)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (dsetconstr @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 ($true))) = 86.74/11.70 (Y0)))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (in @ 86.74/11.70 emptyset @ 86.74/11.70 (powerset @ 86.74/11.70 Y0))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (in @ 86.74/11.70 emptyset @ 86.74/11.70 (powerset @ 86.74/11.70 Y0))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 Y0)) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y1) => 86.74/11.70 (in @ 86.74/11.70 Y2 @ Y0)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y2 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 Y0))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 Y0)) => 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y3 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y3) => 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y3 @ 86.74/11.70 Y0) => 86.74/11.70 (Y2)))))))) => 86.74/11.70 (Y2)))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 Y0) => 86.74/11.70 (in @ 86.74/11.70 Y1 @ 86.74/11.70 ( 86.74/11.70 powerset @ 86.74/11.70 ( 86.74/11.70 setunion @ 86.74/11.70 Y0))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i > $o]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y1) & 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) => 86.74/11.70 (( 86.74/11.70 (Y1) = 86.74/11.70 (Y2))))))))))))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y2 : $i]: 86.74/11.70 (( 86.74/11.70 (Y0 @ 86.74/11.70 Y2) <=> 86.74/11.70 (( 86.74/11.70 (Y2) = 86.74/11.70 (Y1)))))))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (emptyset))) => 86.74/11.70 (( 86.74/11.70 (??) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (in @ 86.74/11.70 Y1 @ Y0))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (in @ 86.74/11.70 Y0 @ 86.74/11.70 ( 86.74/11.70 setadjoin @ 86.74/11.70 Y1 @ 86.74/11.70 emptyset)) => 86.74/11.70 (( 86.74/11.70 (Y0) = 86.74/11.70 (Y1))))))))))) => 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y0 : $i]: 86.74/11.70 (( 86.74/11.70 (!!) @ ( 86.74/11.70 ^[Y1 : $i]: 86.74/11.70 (( 86.74/11.70 (( 86.74/11.70 (Y0) != 86.74/11.70 (Y1))) => 86.74/11.70 (( 86.74/11.70 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) => 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y1))) | 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))) => 86.74/11.71 (( 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) != 86.74/11.71 (emptyset))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset) => 86.74/11.71 (Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $o]: 86.74/11.71 (( 86.74/11.71 (Y0) => 86.74/11.71 (in @ 86.74/11.71 emptyset @ 86.74/11.71 ( 86.74/11.71 prop2set @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $o]: 86.74/11.71 (( 86.74/11.71 (Y0) => 86.74/11.71 (set2prop @ 86.74/11.71 ( 86.74/11.71 prop2set @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (Y0 @ Y1)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) <=> 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) <=> 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) <=> 86.74/11.71 (Y1 @ Y3))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) <=> 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 Y2) = 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (powerset @ 86.74/11.71 Y0) = 86.74/11.71 (powerset @ 86.74/11.71 Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (setunion @ 86.74/11.71 Y0) = 86.74/11.71 (setunion @ 86.74/11.71 Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) <=> 86.74/11.71 (Y1 @ Y3))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) => 86.74/11.71 (( 86.74/11.71 (descr @ 86.74/11.71 Y0) = 86.74/11.71 (descr @ 86.74/11.71 Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y5 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y5 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y4) = 86.74/11.71 (Y5))) => 86.74/11.71 (( 86.74/11.71 (Y2 @ 86.74/11.71 Y4) <=> 86.74/11.71 (Y3 @ Y5))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ 86.74/11.71 Y2) = 86.74/11.71 (dsetconstr @ 86.74/11.71 Y1 @ Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (subset @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (subset @ 86.74/11.71 emptyset @ 86.74/11.71 Y0)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 subset @ 86.74/11.71 Y0 @ Y1)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 subset @ 86.74/11.71 Y0 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (Y0) != 86.74/11.71 (Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (Y0) != 86.74/11.71 (Y1)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y0)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y2) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y2)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y1)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) => 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (emptyset)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)) => 86.74/11.71 (subset @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 (powerset @ 86.74/11.71 Y0))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y1)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (in @ 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 (powerset @ 86.74/11.71 Y0)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (subset @ 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $o]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (Y3))) => 86.74/11.71 (Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) | 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 (binunion @ 86.74/11.71 Y0 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 (binunion @ 86.74/11.71 Y0 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y0))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y1))) => 86.74/11.71 (subset @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (emptyset))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y1))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y0))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y1 @ Y2)) = 86.74/11.71 (binunion @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (setminus @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (emptyset))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 (setminus @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (setminus @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (emptyset))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (Y3))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (Y3))))) => 86.74/11.71 (Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 (setunion @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setunion @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) = 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) = 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset) @ 86.74/11.71 Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y1))) | 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 dsetconstr @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))) @ 86.74/11.71 ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y5 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y5 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y6 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y6 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (Y4) = 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y5 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y5 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y6 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl4])). 86.74/11.71 thf(zip_derived_cl11, plain, 86.74/11.71 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ (powerset @ Y0)) <=> 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y2 @ Y1) => (in @ 86.74/11.71 Y2 @ Y0)))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ (setunion @ Y0)) <=> 86.74/11.71 (((??) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y1 @ Y2) & (in @ 86.74/11.71 Y2 @ Y0)))))))))))))) => 86.74/11.71 (((in @ emptyset @ omega) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((in @ Y0 @ omega) => (in @ 86.74/11.71 (setadjoin @ Y0 @ Y0) @ omega)))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((((((!!) @ (^[Y1 : $i]: 86.74/11.71 (((((in @ Y1 @ Y0) & (in @ Y1 @ 86.74/11.71 omega))) => 86.74/11.71 (in @ (setadjoin @ Y1 @ Y1) @ 86.74/11.71 Y0)))))) & 86.74/11.71 (in @ emptyset @ Y0))) => 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ omega) => (in @ Y1 @ 86.74/11.71 Y0))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((((!!) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y2 @ Y1) => 86.74/11.71 (((??) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (((Y0 @ Y2 @ 86.74/11.71 Y3) & 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2 @ 86.74/11.71 Y4) => 86.74/11.71 (( 86.74/11.71 (Y3) = 86.74/11.71 (Y4)))))))))))))))))) => 86.74/11.71 (((??) @ (^[Y2 : $i]: 86.74/11.71 (((!!) @ (^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y2) <=> 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y1) & 86.74/11.71 (Y0 @ 86.74/11.71 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.71 (((??) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ Y0) & 86.74/11.71 (((~) @ (((??) @ (^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((??) @ (^[Y1 : $i]: 86.74/11.71 (((((!!) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y2) => 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y0))))))))))) & 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (((( 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y0) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y4) <=> 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y4)))))))) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) & 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (((( 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y1) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y3) => 86.74/11.71 (in @ 86.74/11.71 Y4 @ Y2)))))) | 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y2) => 86.74/11.71 (in @ 86.74/11.71 Y4 @ Y3)))))))))))))))) & 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((((((??) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y2)))) & 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y2) => 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y0)))))))) => 86.74/11.71 (((??) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 ( 86.74/11.71 in @ 86.74/11.71 Y3 @ Y1) & 86.74/11.71 ( 86.74/11.71 in @ 86.74/11.71 Y4 @ Y2) & 86.74/11.71 ( 86.74/11.71 ( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y5 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y5 @ 86.74/11.71 Y3) & 86.74/11.71 (in @ 86.74/11.71 Y5 @ Y2)))))))) & 86.74/11.71 ( 86.74/11.71 ( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y5 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y5 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y5) | 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y6 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y6 @ 86.74/11.71 Y5) => 86.74/11.71 (in @ 86.74/11.71 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.71 (((((??) @ (^[Y1 : $i]: 86.74/11.71 (((Y0 @ Y1) & 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (Y0 @ (descr @ Y0))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (((Y1 @ 86.74/11.71 Y2) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((in @ 86.74/11.71 Y2 @ 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 dsetconstr @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (Y1 @ Y2)))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $o]: 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ 86.74/11.71 (prop2set @ Y0)) => 86.74/11.71 (Y0))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((in @ Y0 @ emptyset) => 86.74/11.71 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((~) @ (in @ Y0 @ 86.74/11.71 emptyset)))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.71 (((((??) @ (^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (((??) @ (^[Y1 : $i]: 86.74/11.71 (Y0 @ Y1))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))) => 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((((!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (((~) @ ( 86.74/11.71 in @ Y1 @ Y0)))))) => 86.74/11.71 (((Y0) = 86.74/11.71 (emptyset)))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((((!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (((~) @ ( 86.74/11.71 in @ Y1 @ 86.74/11.71 Y0)))))) => 86.74/11.71 (((Y0) = 86.74/11.71 (emptyset)))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 dsetconstr @ 86.74/11.71 Y0 @ Y1)) <=> 86.74/11.71 (Y1 @ Y2)))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((((Y0) != 86.74/11.71 (emptyset))) => 86.74/11.71 (((??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) != 86.74/11.71 (emptyset)))))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ Y0)))) => 86.74/11.71 (( 86.74/11.71 (Y0) != 86.74/11.71 (emptyset)))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ Y1)))))))) => 86.74/11.71 (((in @ emptyset @ 86.74/11.71 (setadjoin @ 86.74/11.71 emptyset @ 86.74/11.71 emptyset)) => 86.74/11.71 (((((!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ Y1))))))))))))) => 86.74/11.71 (((((!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y0))) => 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (Y3))) => 86.74/11.71 (Y3))))))))))))))))))) => 86.74/11.71 (((((!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) | 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y0)))))))))))))))) => 86.74/11.71 (((( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 ($true))) = 86.74/11.71 (Y0)))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))) => 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (in @ 86.74/11.71 emptyset @ 86.74/11.71 (powerset @ 86.74/11.71 Y0))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (in @ 86.74/11.71 emptyset @ 86.74/11.71 (powerset @ 86.74/11.71 Y0))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 Y0))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 Y0)) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y0) => 86.74/11.71 (Y2)))))))) => 86.74/11.71 (Y2)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 Y0))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) <=> 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y1)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) != 86.74/11.71 (emptyset))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) => 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) != 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) => 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y1))) | 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))) => 86.74/11.71 (( 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) != 86.74/11.71 (emptyset))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset) => 86.74/11.71 (Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $o]: 86.74/11.71 (( 86.74/11.71 (Y0) => 86.74/11.71 (in @ 86.74/11.71 emptyset @ 86.74/11.71 ( 86.74/11.71 prop2set @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $o]: 86.74/11.71 (( 86.74/11.71 (Y0) => 86.74/11.71 (set2prop @ 86.74/11.71 ( 86.74/11.71 prop2set @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y1 @ Y2)))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 Y1 @ Y2)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (Y0 @ Y1)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) <=> 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) <=> 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) <=> 86.74/11.71 (Y1 @ Y3))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) <=> 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 Y2) = 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (powerset @ 86.74/11.71 Y0) = 86.74/11.71 (powerset @ 86.74/11.71 Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (setunion @ 86.74/11.71 Y0) = 86.74/11.71 (setunion @ 86.74/11.71 Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (( 86.74/11.71 (Y1) = 86.74/11.71 (Y2)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) <=> 86.74/11.71 (Y1 @ Y3))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y2) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y1 @ 86.74/11.71 Y3) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) => 86.74/11.71 (( 86.74/11.71 (descr @ 86.74/11.71 Y0) = 86.74/11.71 (descr @ 86.74/11.71 Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i > $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y5 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y5 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y4) = 86.74/11.71 (Y5))) => 86.74/11.71 (( 86.74/11.71 (Y2 @ 86.74/11.71 Y4) <=> 86.74/11.71 (Y3 @ Y5))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ 86.74/11.71 Y2) = 86.74/11.71 (dsetconstr @ 86.74/11.71 Y1 @ Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (subset @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (subset @ 86.74/11.71 emptyset @ 86.74/11.71 Y0)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 subset @ 86.74/11.71 Y0 @ Y1)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 subset @ 86.74/11.71 Y0 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (Y0) != 86.74/11.71 (Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (Y0) != 86.74/11.71 (Y1)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y0)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y2) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y2)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y2) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y1)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (Y1))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) => 86.74/11.71 (( 86.74/11.71 (Y0) = 86.74/11.71 (emptyset)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)) => 86.74/11.71 (subset @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 (powerset @ 86.74/11.71 Y0))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y1)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (in @ 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 (powerset @ 86.74/11.71 Y0)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i > $o]: 86.74/11.71 (subset @ 86.74/11.71 (dsetconstr @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $o]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (Y3))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (Y3))) => 86.74/11.71 (Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) | 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 (binunion @ 86.74/11.71 Y0 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 (binunion @ 86.74/11.71 Y0 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y0))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y1))) => 86.74/11.71 (subset @ 86.74/11.71 Y1 @ Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 ( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))) => 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (emptyset))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y1))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y1))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (Y0))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (binintersect @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y1 @ Y2)) = 86.74/11.71 (binunion @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 ( 86.74/11.71 binintersect @ 86.74/11.71 Y0 @ Y2))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (subset @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (setminus @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (emptyset))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1)))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setminus @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (subset @ 86.74/11.71 (setminus @ 86.74/11.71 Y0 @ Y1) @ 86.74/11.71 Y0))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (setminus @ 86.74/11.71 Y0 @ 86.74/11.71 Y1) = 86.74/11.71 (emptyset))) => 86.74/11.71 (subset @ 86.74/11.71 Y0 @ Y1))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1)) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $o]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (Y3))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (Y3))))) => 86.74/11.71 (Y3))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (( 86.74/11.71 (~) @ ( 86.74/11.71 in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 symdiff @ 86.74/11.71 Y0 @ Y1))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y0 @ 86.74/11.71 (setunion @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 (setunion @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 (setadjoin @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 (setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) = 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 ( 86.74/11.71 setunion @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))) & 86.74/11.71 (( 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) = 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset) @ 86.74/11.71 Y0))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y1 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 Y0)))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y0 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y1 @ 86.74/11.71 emptyset))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y1))) | 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y0)))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (subset @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1)))))))))))))))))))) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y0 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y1 : $i]: 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y0) => 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y1) => 86.74/11.71 (in @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y2 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y3 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)) @ 86.74/11.71 ( 86.74/11.71 dsetconstr @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 powerset @ 86.74/11.71 ( 86.74/11.71 binunion @ 86.74/11.71 Y0 @ Y1))) @ 86.74/11.71 ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y5 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y5 @ 86.74/11.71 Y0) & 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y6 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y6 @ 86.74/11.71 Y1) & 86.74/11.71 (( 86.74/11.71 (Y4) = 86.74/11.71 (setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y5 @ 86.74/11.71 emptyset) @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y5 @ 86.74/11.71 ( 86.74/11.71 setadjoin @ 86.74/11.71 Y6 @ 86.74/11.71 emptyset)) @ 86.74/11.71 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.71 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl7])). 86.74/11.71 thf(zip_derived_cl15, plain, 86.74/11.71 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ (setunion @ Y0)) <=> 86.74/11.71 (((??) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y1 @ Y2) & (in @ Y2 @ 86.74/11.71 Y0)))))))))))))) => 86.74/11.71 (((in @ emptyset @ omega) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((in @ Y0 @ omega) => (in @ 86.74/11.71 (setadjoin @ Y0 @ Y0) @ omega)))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((((((!!) @ (^[Y1 : $i]: 86.74/11.71 (((((in @ Y1 @ Y0) & (in @ Y1 @ 86.74/11.71 omega))) => 86.74/11.71 (in @ (setadjoin @ Y1 @ Y1) @ 86.74/11.71 Y0)))))) & 86.74/11.71 (in @ emptyset @ Y0))) => 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ omega) => (in @ Y1 @ 86.74/11.71 Y0))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.71 (((!!) @ (^[Y1 : $i]: 86.74/11.71 (((((!!) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y2 @ Y1) => 86.74/11.71 (((??) @ (^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2 @ 86.74/11.71 Y3) & 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (Y0 @ 86.74/11.71 Y2 @ 86.74/11.71 Y4) => 86.74/11.71 (( 86.74/11.71 (Y3) = 86.74/11.71 (Y4)))))))))))))))))) => 86.74/11.71 (((??) @ (^[Y2 : $i]: 86.74/11.71 (((!!) @ (^[Y3 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y3 @ 86.74/11.71 Y2) <=> 86.74/11.71 (( 86.74/11.71 (??) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y1) & 86.74/11.71 (Y0 @ 86.74/11.71 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.71 (((??) @ (^[Y1 : $i]: 86.74/11.71 (((in @ Y1 @ Y0) & 86.74/11.71 (((~) @ (((??) @ (^[Y2 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y1) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0)))))))))))))))))) => 86.74/11.71 (((((!!) @ (^[Y0 : $i]: 86.74/11.71 (((??) @ (^[Y1 : $i]: 86.74/11.71 (((((!!) @ (^[Y2 : $i]: 86.74/11.71 (((in @ Y2 @ 86.74/11.71 Y1) => 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (((in @ 86.74/11.71 Y3 @ 86.74/11.71 Y2) => 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y0))))))))))) & 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (((((in @ 86.74/11.71 Y3 @ Y0) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y0))) => 86.74/11.71 (((( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y1) => 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y2 @ 86.74/11.71 Y4) <=> 86.74/11.71 (in @ 86.74/11.71 Y3 @ Y4)))))))) => 86.74/11.71 (( 86.74/11.71 (Y2) = 86.74/11.71 (Y3))))))))))))) & 86.74/11.71 (((!!) @ (^[Y2 : $i]: 86.74/11.71 (((!!) @ ( 86.74/11.71 ^[Y3 : $i]: 86.74/11.71 (((((in @ 86.74/11.71 Y3 @ Y1) & 86.74/11.71 (in @ 86.74/11.71 Y2 @ Y1))) => 86.74/11.71 (((( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.71 (( 86.74/11.71 (in @ 86.74/11.71 Y4 @ 86.74/11.71 Y3) => 86.74/11.71 (in @ 86.74/11.71 Y4 @ Y2)))))) | 86.74/11.71 (( 86.74/11.71 (!!) @ ( 86.74/11.71 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y2) => 86.74/11.72 (in @ 86.74/11.72 Y4 @ Y3)))))))))))))))) & 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((((((??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y2)))) & 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y2) => 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y0)))))))) => 86.74/11.72 (((??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (((??) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 ( 86.74/11.72 in @ 86.74/11.72 Y3 @ Y1) & 86.74/11.72 ( 86.74/11.72 in @ 86.74/11.72 Y4 @ Y2) & 86.74/11.72 ( 86.74/11.72 ( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y5 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y5 @ 86.74/11.72 Y3) & 86.74/11.72 (in @ 86.74/11.72 Y5 @ Y2)))))))) & 86.74/11.72 ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y5 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y5 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y5) | 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y6 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y6 @ 86.74/11.72 Y5) => 86.74/11.72 (in @ 86.74/11.72 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.72 (((((??) @ (^[Y1 : $i]: 86.74/11.72 (((Y0 @ Y1) & 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((Y0 @ Y2) => 86.74/11.72 (((Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (Y0 @ (descr @ Y0))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (((Y1 @ Y2) => 86.74/11.72 (in @ Y2 @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ Y2 @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ Y2 @ 86.74/11.72 Y0)))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ 86.74/11.72 Y2 @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (Y1 @ Y2)))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $o]: 86.74/11.72 (((!!) @ (^[Y1 : $i]: 86.74/11.72 (((in @ Y1 @ 86.74/11.72 (prop2set @ Y0)) => 86.74/11.72 (Y0))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((in @ Y0 @ emptyset) => 86.74/11.72 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.72 (((((??) @ (^[Y1 : $i]: 86.74/11.72 (((Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (((??) @ (^[Y1 : $i]: 86.74/11.72 (Y0 @ Y1))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i]: 86.74/11.72 (((( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((!!) @ (^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y1 @ Y0)))))) => 86.74/11.72 (((Y0) = (emptyset)))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (((~) @ ( 86.74/11.72 in @ Y1 @ Y0)))))) => 86.74/11.72 (((Y0) = 86.74/11.72 (emptyset)))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 dsetconstr @ 86.74/11.72 Y0 @ Y1)) <=> 86.74/11.72 (Y1 @ Y2)))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((Y0) != 86.74/11.72 (emptyset))) => 86.74/11.72 (((??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) != 86.74/11.72 (emptyset)))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ Y0)))) => 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (emptyset)))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (((in @ emptyset @ 86.74/11.72 (setadjoin @ 86.74/11.72 emptyset @ emptyset)) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ Y1))))))))))))) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y0))) => 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (Y3))) => 86.74/11.72 (Y3))))))))))))))))))) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) | 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y0)))))))))))))))) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 ($true))) = 86.74/11.72 (Y0)))))) => 86.74/11.72 (((( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (in @ 86.74/11.72 emptyset @ 86.74/11.72 (powerset @ 86.74/11.72 Y0))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (in @ 86.74/11.72 emptyset @ 86.74/11.72 (powerset @ 86.74/11.72 Y0))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 Y0))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 Y0)) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y0) => 86.74/11.72 (Y2)))))))) => 86.74/11.72 (Y2)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 Y0))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y1)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (emptyset))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y1))) | 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y0)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))) => 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) != 86.74/11.72 (emptyset))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset) => 86.74/11.72 (Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $o]: 86.74/11.72 (( 86.74/11.72 (Y0) => 86.74/11.72 (in @ 86.74/11.72 emptyset @ 86.74/11.72 ( 86.74/11.72 prop2set @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $o]: 86.74/11.72 (( 86.74/11.72 (Y0) => 86.74/11.72 (set2prop @ 86.74/11.72 ( 86.74/11.72 prop2set @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (Y0 @ Y1)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y1))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) <=> 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y1))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (Y1 @ Y3))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))) <=> 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 Y2) = 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (powerset @ 86.74/11.72 Y0) = 86.74/11.72 (powerset @ 86.74/11.72 Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (setunion @ 86.74/11.72 Y0) = 86.74/11.72 (setunion @ 86.74/11.72 Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (Y1 @ Y3))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))) => 86.74/11.72 (( 86.74/11.72 (descr @ 86.74/11.72 Y0) = 86.74/11.72 (descr @ 86.74/11.72 Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y5 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y5 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y4) = 86.74/11.72 (Y5))) => 86.74/11.72 (( 86.74/11.72 (Y2 @ 86.74/11.72 Y4) <=> 86.74/11.72 (Y3 @ Y5))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 Y2) = 86.74/11.72 (dsetconstr @ 86.74/11.72 Y1 @ Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (subset @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (subset @ 86.74/11.72 emptyset @ 86.74/11.72 Y0)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 subset @ 86.74/11.72 Y0 @ Y1)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 subset @ 86.74/11.72 Y0 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (Y1)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y0)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y2) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y2)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y1)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (emptyset)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)) => 86.74/11.72 (subset @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (powerset @ 86.74/11.72 Y0))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (subset @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y1)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (in @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 (powerset @ 86.74/11.72 Y0)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (subset @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $o]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (Y3))) => 86.74/11.72 (Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) | 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 (binunion @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 (binunion @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (subset @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y0))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y1))) => 86.74/11.72 (subset @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (emptyset))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y1))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y0))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y1 @ Y2)) = 86.74/11.72 (binunion @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (setminus @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (emptyset))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 (setminus @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (setminus @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (emptyset))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (Y3))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (Y3))))) => 86.74/11.72 (Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (setunion @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setunion @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) = 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) = 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (subset @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset) @ 86.74/11.72 Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y1))) | 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y0)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y1) => 86.74/11.72 (subset @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y1) => 86.74/11.72 (subset @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) @ 86.74/11.72 ( 86.74/11.72 dsetconstr @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1))) @ 86.74/11.72 ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y5 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y5 @ 86.74/11.72 Y0) & 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y6 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y6 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (Y4) = 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y5 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y5 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y6 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.72 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl11])). 86.74/11.72 thf(zip_derived_cl21, plain, 86.74/11.72 (~ (((in @ emptyset @ omega) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ 86.74/11.72 omega)))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((((!!) @ (^[Y1 : $i]: 86.74/11.72 (((((in @ Y1 @ Y0) & (in @ Y1 @ 86.74/11.72 omega))) => 86.74/11.72 (in @ (setadjoin @ Y1 @ Y1) @ Y0)))))) & 86.74/11.72 (in @ emptyset @ Y0))) => 86.74/11.72 (((!!) @ (^[Y1 : $i]: 86.74/11.72 (((in @ Y1 @ omega) => (in @ Y1 @ Y0))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.72 (((!!) @ (^[Y1 : $i]: 86.74/11.72 (((((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ Y2 @ Y1) => 86.74/11.72 (((??) @ (^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2 @ 86.74/11.72 Y3) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2 @ 86.74/11.72 Y4) => 86.74/11.72 (( 86.74/11.72 (Y3) = 86.74/11.72 (Y4)))))))))))))))))) => 86.74/11.72 (((??) @ (^[Y2 : $i]: 86.74/11.72 (((!!) @ (^[Y3 : $i]: 86.74/11.72 (((in @ 86.74/11.72 Y3 @ 86.74/11.72 Y2) <=> 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y1) & 86.74/11.72 (Y0 @ 86.74/11.72 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.72 (((??) @ (^[Y1 : $i]: 86.74/11.72 (((in @ Y1 @ Y0) & 86.74/11.72 (((~) @ (((??) @ (^[Y2 : $i]: 86.74/11.72 (((in @ 86.74/11.72 Y2 @ Y1) & 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((??) @ (^[Y1 : $i]: 86.74/11.72 (((((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ Y2 @ Y1) => 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (((in @ Y3 @ 86.74/11.72 Y2) => 86.74/11.72 (in @ Y3 @ 86.74/11.72 Y0))))))))))) & 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((!!) @ (^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y0) & 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y4) <=> 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y4)))))))) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))) & 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((!!) @ (^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y1) & 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y3) => 86.74/11.72 (in @ 86.74/11.72 Y4 @ Y2)))))) | 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y2) => 86.74/11.72 (in @ 86.74/11.72 Y4 @ Y3)))))))))))))))) & 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((((((??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (in @ Y3 @ 86.74/11.72 Y2)))) & 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (((in @ 86.74/11.72 Y3 @ 86.74/11.72 Y2) => 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y0)))))))) => 86.74/11.72 (((??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (((??) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 ( 86.74/11.72 in @ 86.74/11.72 Y3 @ Y1) & 86.74/11.72 ( 86.74/11.72 in @ 86.74/11.72 Y4 @ Y2) & 86.74/11.72 ( 86.74/11.72 ( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y5 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y5 @ 86.74/11.72 Y3) & 86.74/11.72 (in @ 86.74/11.72 Y5 @ Y2)))))))) & 86.74/11.72 ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y5 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y5 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y5) | 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y6 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y6 @ 86.74/11.72 Y5) => 86.74/11.72 (in @ 86.74/11.72 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.72 (((((??) @ (^[Y1 : $i]: 86.74/11.72 (((Y0 @ Y1) & 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((Y0 @ Y2) => 86.74/11.72 (((Y1) = (Y2))))))))))))) => 86.74/11.72 (Y0 @ (descr @ Y0))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (((Y1 @ Y2) => 86.74/11.72 (in @ Y2 @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ Y2 @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ Y2 @ Y0)))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ (^[Y2 : $i]: 86.74/11.72 (((in @ Y2 @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (Y1 @ Y2)))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $o]: 86.74/11.72 (((!!) @ (^[Y1 : $i]: 86.74/11.72 (((in @ Y1 @ 86.74/11.72 (prop2set @ Y0)) => 86.74/11.72 (Y0))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((in @ Y0 @ emptyset) => 86.74/11.72 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.72 (((((??) @ (^[Y1 : $i]: 86.74/11.72 (((Y0 @ Y1) & 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (((??) @ (^[Y1 : $i]: 86.74/11.72 (Y0 @ Y1))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i]: 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))) => 86.74/11.72 (((( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((!!) @ (^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y1 @ Y0)))))) => 86.74/11.72 (((Y0) = (emptyset)))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((!!) @ (^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y1 @ Y0)))))) => 86.74/11.72 (((Y0) = (emptyset)))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 dsetconstr @ 86.74/11.72 Y0 @ Y1)) <=> 86.74/11.72 (Y1 @ Y2)))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((Y0) != 86.74/11.72 (emptyset))) => 86.74/11.72 (((??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ Y1 @ 86.74/11.72 Y0))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) != 86.74/11.72 (emptyset)))))))))))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((((??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ Y0)))) => 86.74/11.72 (((Y0) != 86.74/11.72 (emptyset)))))))) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (((in @ emptyset @ 86.74/11.72 (setadjoin @ 86.74/11.72 emptyset @ emptyset)) => 86.74/11.72 (((((!!) @ (^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ Y1))))))))))))) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y0))) => 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (Y3))) => 86.74/11.72 (Y3))))))))))))))))))) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (((!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) | 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y0)))))))))))))))) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 ($true))) = 86.74/11.72 (Y0)))))) => 86.74/11.72 (((((!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)))))))))) => 86.74/11.72 (((( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (in @ 86.74/11.72 emptyset @ 86.74/11.72 (powerset @ 86.74/11.72 Y0))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (in @ 86.74/11.72 emptyset @ 86.74/11.72 (powerset @ 86.74/11.72 Y0))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 Y0))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 Y0)) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 Y0) => 86.74/11.72 (Y2)))))))) => 86.74/11.72 (Y2)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 Y0))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y1)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (emptyset))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y1))) | 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y0)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))) => 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) != 86.74/11.72 (emptyset))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset) => 86.74/11.72 (Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $o]: 86.74/11.72 (( 86.74/11.72 (Y0) => 86.74/11.72 (in @ 86.74/11.72 emptyset @ 86.74/11.72 ( 86.74/11.72 prop2set @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $o]: 86.74/11.72 (( 86.74/11.72 (Y0) => 86.74/11.72 (set2prop @ 86.74/11.72 ( 86.74/11.72 prop2set @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y1 @ Y2)))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 Y1 @ Y2)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (Y0 @ Y1)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y1))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) <=> 86.74/11.72 (in @ 86.74/11.72 Y3 @ Y1))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (Y1 @ Y3))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))) <=> 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 Y2) = 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (powerset @ 86.74/11.72 Y0) = 86.74/11.72 (powerset @ 86.74/11.72 Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (setunion @ 86.74/11.72 Y0) = 86.74/11.72 (setunion @ 86.74/11.72 Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (( 86.74/11.72 (Y1) = 86.74/11.72 (Y2)))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) <=> 86.74/11.72 (Y1 @ Y3))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y0 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y2) & 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (Y1 @ 86.74/11.72 Y3) => 86.74/11.72 (( 86.74/11.72 (Y2) = 86.74/11.72 (Y3))))))))))))) => 86.74/11.72 (( 86.74/11.72 (descr @ 86.74/11.72 Y0) = 86.74/11.72 (descr @ 86.74/11.72 Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $i > $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y4 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y4 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y5 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y5 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y4) = 86.74/11.72 (Y5))) => 86.74/11.72 (( 86.74/11.72 (Y2 @ 86.74/11.72 Y4) <=> 86.74/11.72 (Y3 @ Y5))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ 86.74/11.72 Y2) = 86.74/11.72 (dsetconstr @ 86.74/11.72 Y1 @ Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (subset @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (subset @ 86.74/11.72 emptyset @ 86.74/11.72 Y0)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 subset @ 86.74/11.72 Y0 @ Y1)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 subset @ 86.74/11.72 Y0 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (Y0) != 86.74/11.72 (Y1)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y0)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y2) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y2)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y2) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y1)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (Y1))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) => 86.74/11.72 (( 86.74/11.72 (Y0) = 86.74/11.72 (emptyset)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)) => 86.74/11.72 (subset @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (powerset @ 86.74/11.72 Y0))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (subset @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y1)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (in @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 (powerset @ 86.74/11.72 Y0)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i > $o]: 86.74/11.72 (subset @ 86.74/11.72 (dsetconstr @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $o]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (Y3))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (Y3))) => 86.74/11.72 (Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) | 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 (binunion @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 (binunion @ 86.74/11.72 Y0 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (subset @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y0))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y1))) => 86.74/11.72 (subset @ 86.74/11.72 Y1 @ Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 ( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) & 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))) => 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (emptyset))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y1))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y1))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (Y0))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (binintersect @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 binunion @ 86.74/11.72 Y1 @ Y2)) = 86.74/11.72 (binunion @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 ( 86.74/11.72 binintersect @ 86.74/11.72 Y0 @ Y2))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y0)))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (subset @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (setminus @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (emptyset))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ Y1)))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1)))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0)))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setminus @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (subset @ 86.74/11.72 (setminus @ 86.74/11.72 Y0 @ Y1) @ 86.74/11.72 Y0))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (setminus @ 86.74/11.72 Y0 @ 86.74/11.72 Y1) = 86.74/11.72 (emptyset))) => 86.74/11.72 (subset @ 86.74/11.72 Y0 @ Y1))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1)) => 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y3 : $o]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (Y3))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (Y3))))) => 86.74/11.72 (Y3))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y0) => 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 Y1) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y0))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ Y1))) => 86.74/11.72 (( 86.74/11.72 (~) @ ( 86.74/11.72 in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 symdiff @ 86.74/11.72 Y0 @ Y1))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y0 @ 86.74/11.72 (setunion @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 (setunion @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 (setadjoin @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 (setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) = 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y2 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (??) @ ( 86.74/11.72 ^[Y3 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y3 @ 86.74/11.72 ( 86.74/11.72 setunion @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))) & 86.74/11.72 (( 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y0 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)) = 86.74/11.72 (setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y2 @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y3 @ 86.74/11.72 emptyset)) @ 86.74/11.72 emptyset)))))))))))))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (subset @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset) @ 86.74/11.72 Y0))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.72 (( 86.74/11.72 (in @ 86.74/11.72 Y1 @ 86.74/11.72 Y0) => 86.74/11.72 (in @ 86.74/11.72 ( 86.74/11.72 setadjoin @ 86.74/11.72 Y1 @ 86.74/11.72 emptyset) @ 86.74/11.72 ( 86.74/11.72 powerset @ 86.74/11.72 Y0)))))))))) => 86.74/11.72 (( 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y0 : $i]: 86.74/11.72 (( 86.74/11.72 (!!) @ ( 86.74/11.72 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1))) | 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 dsetconstr @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))) @ 86.74/11.73 ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y5 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y5 @ 86.74/11.73 Y0) & 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y6 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y6 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (Y4) = 86.74/11.73 (setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y5 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y5 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y6 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl15])). 86.74/11.73 thf(zip_derived_cl27, plain, 86.74/11.73 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((in @ Y0 @ omega) => (in @ (setadjoin @ Y0 @ Y0) @ 86.74/11.73 omega)))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((((((!!) @ (^[Y1 : $i]: 86.74/11.73 (((((in @ Y1 @ Y0) & (in @ Y1 @ omega))) => 86.74/11.73 (in @ (setadjoin @ Y1 @ Y1) @ Y0)))))) & 86.74/11.73 (in @ emptyset @ Y0))) => 86.74/11.73 (((!!) @ (^[Y1 : $i]: 86.74/11.73 (((in @ Y1 @ omega) => (in @ Y1 @ Y0))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.73 (((!!) @ (^[Y1 : $i]: 86.74/11.73 (((((!!) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ Y1) => 86.74/11.73 (((??) @ (^[Y3 : $i]: 86.74/11.73 (((Y0 @ 86.74/11.73 Y2 @ Y3) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2 @ 86.74/11.73 Y4) => 86.74/11.73 (( 86.74/11.73 (Y3) = 86.74/11.73 (Y4)))))))))))))))))) => 86.74/11.73 (((??) @ (^[Y2 : $i]: 86.74/11.73 (((!!) @ (^[Y3 : $i]: 86.74/11.73 (((in @ Y3 @ 86.74/11.73 Y2) <=> 86.74/11.73 (((??) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y1) & 86.74/11.73 (Y0 @ 86.74/11.73 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.73 (((??) @ (^[Y1 : $i]: 86.74/11.73 (((in @ Y1 @ Y0) & 86.74/11.73 (((~) @ (((??) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ 86.74/11.73 Y1) & (in @ 86.74/11.73 Y2 @ Y0)))))))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((??) @ (^[Y1 : $i]: 86.74/11.73 (((((!!) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ Y1) => 86.74/11.73 (((!!) @ (^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y2) => 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y0))))))))))) & 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((!!) @ (^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y0) & 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y4) <=> 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y4)))))))) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) & 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((!!) @ (^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) & 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y3) => 86.74/11.73 (in @ 86.74/11.73 Y4 @ Y2)))))) | 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y2) => 86.74/11.73 (in @ 86.74/11.73 Y4 @ Y3)))))))))))))))) & 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((((((??) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (in @ Y3 @ Y2)))) & 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (((in @ Y3 @ 86.74/11.73 Y2) => 86.74/11.73 (in @ Y3 @ 86.74/11.73 Y0)))))))) => 86.74/11.73 (((??) @ (^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 ( 86.74/11.73 in @ 86.74/11.73 Y3 @ Y1) & 86.74/11.73 ( 86.74/11.73 in @ 86.74/11.73 Y4 @ Y2) & 86.74/11.73 ( 86.74/11.73 ( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y5 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y5 @ 86.74/11.73 Y3) & 86.74/11.73 (in @ 86.74/11.73 Y5 @ Y2)))))))) & 86.74/11.73 ( 86.74/11.73 ( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y5 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y5 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y5) | 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y6 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y6 @ 86.74/11.73 Y5) => 86.74/11.73 (in @ 86.74/11.73 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.73 (((((??) @ (^[Y1 : $i]: 86.74/11.73 (((Y0 @ Y1) & 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((Y0 @ Y2) => 86.74/11.73 (((Y1) = (Y2))))))))))))) => 86.74/11.73 (Y0 @ (descr @ Y0))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ Y0) => 86.74/11.73 (((Y1 @ Y2) => 86.74/11.73 (in @ Y2 @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (in @ Y2 @ Y0)))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (Y1 @ Y2)))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $o]: 86.74/11.73 (((!!) @ (^[Y1 : $i]: 86.74/11.73 (((in @ Y1 @ 86.74/11.73 (prop2set @ Y0)) => (Y0))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((in @ Y0 @ emptyset) => 86.74/11.73 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.73 (((((??) @ (^[Y1 : $i]: 86.74/11.73 (((Y0 @ Y1) & 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (((??) @ (^[Y1 : $i]: 86.74/11.73 (Y0 @ Y1))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ (^[Y1 : $i]: 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))) => 86.74/11.73 (((Y0) = 86.74/11.73 (Y1))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((((!!) @ (^[Y1 : $i]: 86.74/11.73 (((~) @ ( 86.74/11.73 in @ Y1 @ 86.74/11.73 Y0)))))) => 86.74/11.73 (((Y0) = (emptyset)))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((((!!) @ (^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y1 @ Y0)))))) => 86.74/11.73 (((Y0) = (emptyset)))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 dsetconstr @ 86.74/11.73 Y0 @ Y1)) <=> 86.74/11.73 (Y1 @ Y2)))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((((Y0) != 86.74/11.73 (emptyset))) => 86.74/11.73 (((??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ Y1 @ Y0))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) != 86.74/11.73 (emptyset)))))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((((??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ Y0)))) => 86.74/11.73 (((Y0) != 86.74/11.73 (emptyset)))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ Y1)))))))) => 86.74/11.73 (((in @ emptyset @ 86.74/11.73 (setadjoin @ emptyset @ 86.74/11.73 emptyset)) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ Y1))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0))) => 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (Y3))) => 86.74/11.73 (Y3))))))))))))))))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) | 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0)))))))))))))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (((dsetconstr @ 86.74/11.73 Y0 @ 86.74/11.73 (^[Y1 : $i]: 86.74/11.73 ($true))) = 86.74/11.73 (Y0)))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)))))))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (in @ 86.74/11.73 emptyset @ 86.74/11.73 (powerset @ 86.74/11.73 Y0))))) => 86.74/11.73 (((( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (in @ 86.74/11.73 emptyset @ 86.74/11.73 (powerset @ 86.74/11.73 Y0))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 Y0))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 Y0)) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y0) => 86.74/11.73 (Y2)))))))) => 86.74/11.73 (Y2)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 Y0))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (emptyset))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) => 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1))) | 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))) => 86.74/11.73 (( 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) != 86.74/11.73 (emptyset))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset) => 86.74/11.73 (Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $o]: 86.74/11.73 (( 86.74/11.73 (Y0) => 86.74/11.73 (in @ 86.74/11.73 emptyset @ 86.74/11.73 ( 86.74/11.73 prop2set @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $o]: 86.74/11.73 (( 86.74/11.73 (Y0) => 86.74/11.73 (set2prop @ 86.74/11.73 ( 86.74/11.73 prop2set @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (Y0 @ Y1)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) <=> 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (Y1 @ Y3))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) <=> 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 Y2) = 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ Y3))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (powerset @ 86.74/11.73 Y0) = 86.74/11.73 (powerset @ 86.74/11.73 Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (setunion @ 86.74/11.73 Y0) = 86.74/11.73 (setunion @ 86.74/11.73 Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (Y1 @ Y3))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) => 86.74/11.73 (( 86.74/11.73 (descr @ 86.74/11.73 Y0) = 86.74/11.73 (descr @ 86.74/11.73 Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y5 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y5 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y4) = 86.74/11.73 (Y5))) => 86.74/11.73 (( 86.74/11.73 (Y2 @ 86.74/11.73 Y4) <=> 86.74/11.73 (Y3 @ Y5))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ 86.74/11.73 Y2) = 86.74/11.73 (dsetconstr @ 86.74/11.73 Y1 @ Y3))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (subset @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (subset @ 86.74/11.73 emptyset @ 86.74/11.73 Y0)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 subset @ 86.74/11.73 Y0 @ Y1)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 subset @ 86.74/11.73 Y0 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (Y1)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y0)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y2) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y2)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y1)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) => 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (emptyset)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)) => 86.74/11.73 (subset @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 (powerset @ 86.74/11.73 Y0))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y1)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (in @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 (powerset @ 86.74/11.73 Y0)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (subset @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $o]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (Y3))) => 86.74/11.73 (Y3))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) | 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 (binunion @ 86.74/11.73 Y0 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 (binunion @ 86.74/11.73 Y0 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y0))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y1))) => 86.74/11.73 (subset @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (emptyset))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y1))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y0))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y1 @ Y2)) = 86.74/11.73 (binunion @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (setminus @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (emptyset))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 (setminus @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (setminus @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (emptyset))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 symdiff @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (Y3))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (Y3))))) => 86.74/11.73 (Y3))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 symdiff @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 symdiff @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 symdiff @ 86.74/11.73 Y0 @ Y1))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 symdiff @ 86.74/11.73 Y0 @ Y1))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 (setunion @ 86.74/11.73 (setadjoin @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 (setadjoin @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 (setunion @ 86.74/11.73 (setadjoin @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 (setadjoin @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))) & 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))) & 86.74/11.73 (( 86.74/11.73 (setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)) = 86.74/11.73 (setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))) & 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))) & 86.74/11.73 (( 86.74/11.73 (setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)) = 86.74/11.73 (setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (subset @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset) @ 86.74/11.73 Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1))) | 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 emptyset) @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y3 @ 86.74/11.73 emptyset)) @ 86.74/11.73 emptyset)) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 ( 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emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.73 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl21])). 86.74/11.73 thf(zip_derived_cl32, plain, 86.74/11.73 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((((((!!) @ (^[Y1 : $i]: 86.74/11.73 (((((in @ Y1 @ Y0) & (in @ Y1 @ omega))) => 86.74/11.73 (in @ (setadjoin @ Y1 @ Y1) @ Y0)))))) & 86.74/11.73 (in @ emptyset @ Y0))) => 86.74/11.73 (((!!) @ (^[Y1 : $i]: 86.74/11.73 (((in @ Y1 @ omega) => (in @ Y1 @ Y0))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.73 (((!!) @ (^[Y1 : $i]: 86.74/11.73 (((((!!) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ Y1) => 86.74/11.73 (((??) @ (^[Y3 : $i]: 86.74/11.73 (((Y0 @ Y2 @ 86.74/11.73 Y3) & 86.74/11.73 (((!!) @ 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(in @ 86.74/11.73 Y3 @ Y0))))))))))) & 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((!!) @ (^[Y3 : $i]: 86.74/11.73 (((( 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y0) & 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y4) <=> 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y4)))))))) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) & 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((!!) @ (^[Y3 : $i]: 86.74/11.73 (((( 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y1) & 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y3) => 86.74/11.73 (in @ 86.74/11.73 Y4 @ Y2)))))) | 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 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(((!!) @ (^[Y1 : $i > $o]: 86.74/11.73 (((!!) @ (^[Y2 : $i]: 86.74/11.73 (((in @ Y2 @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (Y1 @ Y2)))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $o]: 86.74/11.73 (((!!) @ (^[Y1 : $i]: 86.74/11.73 (((in @ Y1 @ 86.74/11.73 (prop2set @ Y0)) => (Y0))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((in @ Y0 @ emptyset) => 86.74/11.73 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.73 (((((??) @ (^[Y1 : $i]: 86.74/11.73 (((Y0 @ Y1) & 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (((Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (((??) @ (^[Y1 : $i]: 86.74/11.73 (Y0 @ Y1))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ (^[Y1 : 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emptyset @ 86.74/11.73 emptyset)) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ Y1))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0))) => 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (Y3))) => 86.74/11.73 (Y3))))))))))))))))))) => 86.74/11.73 (((((!!) @ (^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) | 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0)))))))))))))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (((dsetconstr @ 86.74/11.73 Y0 @ 86.74/11.73 (^[Y1 : $i]: 86.74/11.73 ( 86.74/11.73 $true))) = 86.74/11.73 (Y0)))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (((!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)))))))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (in @ 86.74/11.73 emptyset @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0))))) => 86.74/11.73 (((((!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (in @ 86.74/11.73 emptyset @ 86.74/11.73 (powerset @ 86.74/11.73 Y0))))) => 86.74/11.73 (((( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 Y0))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 Y0)) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y3 @ 86.74/11.73 Y0) => 86.74/11.73 (Y2)))))))) => 86.74/11.73 (Y2)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 ( 86.74/11.73 setunion @ 86.74/11.73 Y0))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (emptyset))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) => 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset)) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1))) | 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))) => 86.74/11.73 (( 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) != 86.74/11.73 (emptyset))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset) => 86.74/11.73 (Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $o]: 86.74/11.73 (( 86.74/11.73 (Y0) => 86.74/11.73 (in @ 86.74/11.73 emptyset @ 86.74/11.73 ( 86.74/11.73 prop2set @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $o]: 86.74/11.73 (( 86.74/11.73 (Y0) => 86.74/11.73 (set2prop @ 86.74/11.73 ( 86.74/11.73 prop2set @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y1 @ Y2)))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 Y1 @ Y2)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (Y0 @ Y1)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) <=> 86.74/11.73 (in @ 86.74/11.73 Y3 @ Y1))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (Y1 @ Y3))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) <=> 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 Y2) = 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ Y3))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (powerset @ 86.74/11.73 Y0) = 86.74/11.73 (powerset @ 86.74/11.73 Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (setunion @ 86.74/11.73 Y0) = 86.74/11.73 (setunion @ 86.74/11.73 Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (( 86.74/11.73 (Y1) = 86.74/11.73 (Y2)))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) <=> 86.74/11.73 (Y1 @ Y3))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y0 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y2) & 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i]: 86.74/11.73 (( 86.74/11.73 (Y1 @ 86.74/11.73 Y3) => 86.74/11.73 (( 86.74/11.73 (Y2) = 86.74/11.73 (Y3))))))))))))) => 86.74/11.73 (( 86.74/11.73 (descr @ 86.74/11.73 Y0) = 86.74/11.73 (descr @ 86.74/11.73 Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $i > $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y4 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y4 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y5 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y5 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y4) = 86.74/11.73 (Y5))) => 86.74/11.73 (( 86.74/11.73 (Y2 @ 86.74/11.73 Y4) <=> 86.74/11.73 (Y3 @ Y5))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ 86.74/11.73 Y2) = 86.74/11.73 (dsetconstr @ 86.74/11.73 Y1 @ Y3))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (subset @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (subset @ 86.74/11.73 emptyset @ 86.74/11.73 Y0)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 subset @ 86.74/11.73 Y0 @ Y1)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 subset @ 86.74/11.73 Y0 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (Y0) != 86.74/11.73 (Y1)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y0)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y2) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y2)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y2) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 setadjoin @ 86.74/11.73 Y1 @ Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y1)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (Y1))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 emptyset) => 86.74/11.73 (( 86.74/11.73 (Y0) = 86.74/11.73 (emptyset)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0)) => 86.74/11.73 (subset @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y0 @ 86.74/11.73 (powerset @ 86.74/11.73 Y0))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y0) @ 86.74/11.73 ( 86.74/11.73 powerset @ 86.74/11.73 Y1)))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (in @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 (powerset @ 86.74/11.73 Y0)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i > $o]: 86.74/11.73 (subset @ 86.74/11.73 (dsetconstr @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (in @ 86.74/11.73 Y1 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y0 @ 86.74/11.73 (setadjoin @ 86.74/11.73 Y1 @ 86.74/11.73 emptyset))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $o]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (Y3))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (Y3))) => 86.74/11.73 (Y3))))))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) | 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 (binunion @ 86.74/11.73 Y0 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 (binunion @ 86.74/11.73 Y0 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (subset @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y0))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y1))) => 86.74/11.73 (subset @ 86.74/11.73 Y1 @ Y0))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 ( 86.74/11.73 (??) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) & 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))) => 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (emptyset))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y1))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y1 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y1))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (Y0))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (binintersect @ 86.74/11.73 Y0 @ 86.74/11.73 ( 86.74/11.73 binunion @ 86.74/11.73 Y1 @ Y2)) = 86.74/11.73 (binunion @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 ( 86.74/11.73 binintersect @ 86.74/11.73 Y0 @ Y2))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y0)))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (subset @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (setminus @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (emptyset))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (in @ 86.74/11.73 Y2 @ Y1)))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1)))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0)))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y1) => 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 setminus @ 86.74/11.73 Y0 @ Y1))))))))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (subset @ 86.74/11.73 (setminus @ 86.74/11.73 Y0 @ Y1) @ 86.74/11.73 Y0))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (setminus @ 86.74/11.73 Y0 @ 86.74/11.73 Y1) = 86.74/11.73 (emptyset))) => 86.74/11.73 (subset @ 86.74/11.73 Y0 @ Y1))))))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y0 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y1 : $i]: 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y2 : $i]: 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 ( 86.74/11.73 symdiff @ 86.74/11.73 Y0 @ Y1)) => 86.74/11.73 (( 86.74/11.73 (!!) @ ( 86.74/11.73 ^[Y3 : $o]: 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.73 Y0) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y1))) => 86.74/11.73 (Y3))))) => 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (( 86.74/11.73 (~) @ ( 86.74/11.73 in @ 86.74/11.73 Y2 @ Y0))) => 86.74/11.73 (( 86.74/11.73 (in @ 86.74/11.73 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (Y3))))) => 86.74/11.74 (Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 (setunion @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setunion @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) = 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) = 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset) @ 86.74/11.74 Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1))) | 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 dsetconstr @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))) @ 86.74/11.74 ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y5 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y5 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y6 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y6 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (Y4) = 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y5 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y5 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y6 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl27])). 86.74/11.74 thf(zip_derived_cl36, plain, 86.74/11.74 (~ (((((!!) @ (^[Y0 : $i > $i > $o]: 86.74/11.74 (((!!) @ (^[Y1 : $i]: 86.74/11.74 (((((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ Y1) => 86.74/11.74 (((??) @ (^[Y3 : $i]: 86.74/11.74 (((Y0 @ Y2 @ 86.74/11.74 Y3) & 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2 @ 86.74/11.74 Y4) => 86.74/11.74 (( 86.74/11.74 (Y3) = 86.74/11.74 (Y4)))))))))))))))))) => 86.74/11.74 (((??) @ (^[Y2 : $i]: 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((in @ Y3 @ 86.74/11.74 Y2) <=> 86.74/11.74 (((??) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (((in @ 86.74/11.74 Y4 @ Y1) & 86.74/11.74 (Y0 @ 86.74/11.74 Y4 @ Y3)))))))))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.74 (((??) @ (^[Y1 : $i]: 86.74/11.74 (((in @ Y1 @ Y0) & 86.74/11.74 (((~) @ (((??) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ Y1) & 86.74/11.74 (in @ Y2 @ Y0)))))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((??) @ (^[Y1 : $i]: 86.74/11.74 (((((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ Y1) => 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((in @ 86.74/11.74 Y3 @ 86.74/11.74 Y2) => 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y0))))))))))) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((((in @ 86.74/11.74 Y3 @ Y0) & 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (((( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y4) <=> 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y4)))))))) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((((in @ 86.74/11.74 Y3 @ Y1) & 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (((( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y3) => 86.74/11.74 (in @ 86.74/11.74 Y4 @ Y2)))))) | 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y2) => 86.74/11.74 (in @ 86.74/11.74 Y4 @ Y3)))))))))))))))) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((((((??) @ (^[Y3 : $i]: 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Y3)))))))))))))))))))))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.74 (((((??) @ (^[Y1 : $i]: 86.74/11.74 (((Y0 @ Y1) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((Y0 @ Y2) => 86.74/11.74 (((Y1) = (Y2))))))))))))) => 86.74/11.74 (Y0 @ (descr @ Y0))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ Y0) => 86.74/11.74 (((Y1 @ Y2) => (in @ 86.74/11.74 Y2 @ 86.74/11.74 (dsetconstr @ Y0 @ 86.74/11.74 Y1))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ 86.74/11.74 (dsetconstr @ Y0 @ 86.74/11.74 Y1)) => 86.74/11.74 (in @ Y2 @ Y0)))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (Y1 @ Y2)))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $o]: 86.74/11.74 (((!!) @ (^[Y1 : $i]: 86.74/11.74 (((in @ Y1 @ 86.74/11.74 (prop2set @ Y0)) => (Y0))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((in @ Y0 @ emptyset) => 86.74/11.74 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.74 (((((??) @ (^[Y1 : $i]: 86.74/11.74 (((Y0 @ Y1) & 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (((Y0 @ Y2) => 86.74/11.74 (((Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i]: 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ Y2 @ 86.74/11.74 Y1)))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (((in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))) => 86.74/11.74 (((Y0) = (Y1))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((!!) @ (^[Y1 : $i]: 86.74/11.74 (((~) @ ( 86.74/11.74 in @ Y1 @ Y0)))))) => 86.74/11.74 (((Y0) = (emptyset)))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((!!) @ (^[Y1 : $i]: 86.74/11.74 (((~) @ ( 86.74/11.74 in @ Y1 @ Y0)))))) => 86.74/11.74 (((Y0) = (emptyset)))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 dsetconstr @ 86.74/11.74 Y0 @ Y1)) <=> 86.74/11.74 (Y1 @ Y2)))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((Y0) != (emptyset))) => 86.74/11.74 (((??) @ (^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) != 86.74/11.74 (emptyset)))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ Y1 @ Y0)))) => 86.74/11.74 (((Y0) != 86.74/11.74 (emptyset)))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (((in @ emptyset @ 86.74/11.74 (setadjoin @ emptyset @ 86.74/11.74 emptyset)) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ Y1))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0))) => 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (Y3))) => 86.74/11.74 (Y3))))))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) | 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0)))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 ($true))) = 86.74/11.74 (Y0)))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)))))))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (in @ 86.74/11.74 emptyset @ 86.74/11.74 (powerset @ 86.74/11.74 Y0))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (in @ 86.74/11.74 emptyset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))))))))))) => 86.74/11.74 (((( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 Y0))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 Y0)) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y0) => 86.74/11.74 (Y2)))))))) => 86.74/11.74 (Y2)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 Y0))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (emptyset))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) => 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset)))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1))) | 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))) => 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) != 86.74/11.74 (emptyset))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset) => 86.74/11.74 (Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $o]: 86.74/11.74 (( 86.74/11.74 (Y0) => 86.74/11.74 (in @ 86.74/11.74 emptyset @ 86.74/11.74 ( 86.74/11.74 prop2set @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $o]: 86.74/11.74 (( 86.74/11.74 (Y0) => 86.74/11.74 (set2prop @ 86.74/11.74 ( 86.74/11.74 prop2set @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (Y0 @ Y1)))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) <=> 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (Y1 @ Y3))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))) <=> 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 Y2) = 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (powerset @ 86.74/11.74 Y0) = 86.74/11.74 (powerset @ 86.74/11.74 Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (setunion @ 86.74/11.74 Y0) = 86.74/11.74 (setunion @ 86.74/11.74 Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (Y1 @ Y3))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))) => 86.74/11.74 (( 86.74/11.74 (descr @ 86.74/11.74 Y0) = 86.74/11.74 (descr @ 86.74/11.74 Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y5 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y5 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y4) = 86.74/11.74 (Y5))) => 86.74/11.74 (( 86.74/11.74 (Y2 @ 86.74/11.74 Y4) <=> 86.74/11.74 (Y3 @ Y5))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 Y2) = 86.74/11.74 (dsetconstr @ 86.74/11.74 Y1 @ Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (subset @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (subset @ 86.74/11.74 emptyset @ 86.74/11.74 Y0)))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 subset @ 86.74/11.74 Y0 @ Y1)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 subset @ 86.74/11.74 Y0 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (Y1)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y0)))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 Y2) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y2)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y1)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) => 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (emptyset)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)) => 86.74/11.74 (subset @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 (powerset @ 86.74/11.74 Y0))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y1)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (in @ 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 (powerset @ 86.74/11.74 Y0)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (subset @ 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $o]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (Y3))) => 86.74/11.74 (Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) | 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 (binunion @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 (binunion @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) = 86.74/11.74 (Y0))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) = 86.74/11.74 (Y1))) => 86.74/11.74 (subset @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))))) => 86.74/11.74 (( 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) = 86.74/11.74 (emptyset))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 Y1))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) = 86.74/11.74 (Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) = 86.74/11.74 (Y0))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (binintersect @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y1 @ Y2)) = 86.74/11.74 (binunion @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setminus @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setminus @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setminus @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (setminus @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) = 86.74/11.74 (emptyset))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setminus @ 86.74/11.74 Y0 @ Y1)))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setminus @ 86.74/11.74 Y0 @ Y1)))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setminus @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setminus @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 (setminus @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (setminus @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) = 86.74/11.74 (emptyset))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (Y3))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (Y3))))) => 86.74/11.74 (Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 symdiff @ 86.74/11.74 Y0 @ Y1))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 (setunion @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setunion @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 (setadjoin @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) = 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))) & 86.74/11.74 (( 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) = 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset) @ 86.74/11.74 Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1))) | 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y3 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)) @ 86.74/11.74 ( 86.74/11.74 dsetconstr @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))) @ 86.74/11.74 ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y5 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y5 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y6 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y6 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (Y4) = 86.74/11.74 (setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y5 @ 86.74/11.74 emptyset) @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y5 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y6 @ 86.74/11.74 emptyset)) @ 86.74/11.74 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.74 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl32])). 86.74/11.74 thf(zip_derived_cl40, plain, 86.74/11.74 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 86.74/11.74 (((??) @ (^[Y1 : $i]: 86.74/11.74 (((in @ Y1 @ Y0) & 86.74/11.74 (((~) @ (((??) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ Y1) & 86.74/11.74 (in @ Y2 @ Y0)))))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((??) @ (^[Y1 : $i]: 86.74/11.74 (((((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ Y1) => 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((in @ Y3 @ 86.74/11.74 Y2) => 86.74/11.74 (in @ Y3 @ 86.74/11.74 Y0))))))))))) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((((in @ Y3 @ 86.74/11.74 Y0) & (in @ 86.74/11.74 Y2 @ Y0))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y4) <=> 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y4)))))))) => 86.74/11.74 (((Y2) = 86.74/11.74 (Y3))))))))))))) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((((in @ Y3 @ 86.74/11.74 Y1) & (in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y3) => 86.74/11.74 (in @ 86.74/11.74 Y4 @ Y2)))))) | 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y2) => 86.74/11.74 (in @ 86.74/11.74 Y4 @ Y3)))))))))))))))) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((((((??) @ (^[Y3 : $i]: 86.74/11.74 (in @ Y3 @ 86.74/11.74 Y2)))) & 86.74/11.74 (((!!) @ (^[Y3 : $i]: 86.74/11.74 (((in @ 86.74/11.74 Y3 @ 86.74/11.74 Y2) => 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y0)))))))) => 86.74/11.74 (((??) @ (^[Y3 : $i]: 86.74/11.74 (((??) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 ( 86.74/11.74 in @ 86.74/11.74 Y3 @ Y1) & 86.74/11.74 ( 86.74/11.74 in @ 86.74/11.74 Y4 @ Y2) & 86.74/11.74 ( 86.74/11.74 ( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y5 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y5 @ 86.74/11.74 Y3) & 86.74/11.74 (in @ 86.74/11.74 Y5 @ Y2)))))))) & 86.74/11.74 ( 86.74/11.74 ( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y5 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y5 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y5) | 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y6 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y6 @ 86.74/11.74 Y5) => 86.74/11.74 (in @ 86.74/11.74 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.74 (((((??) @ (^[Y1 : $i]: 86.74/11.74 (((Y0 @ Y1) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((Y0 @ Y2) => 86.74/11.74 (((Y1) = (Y2))))))))))))) => 86.74/11.74 (Y0 @ (descr @ Y0))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ Y0) => 86.74/11.74 (((Y1 @ Y2) => (in @ 86.74/11.74 Y2 @ 86.74/11.74 (dsetconstr @ Y0 @ Y1))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ 86.74/11.74 (dsetconstr @ Y0 @ Y1)) => 86.74/11.74 (in @ Y2 @ Y0)))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ 86.74/11.74 (dsetconstr @ Y0 @ 86.74/11.74 Y1)) => 86.74/11.74 (Y1 @ Y2)))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $o]: 86.74/11.74 (((!!) @ (^[Y1 : $i]: 86.74/11.74 (((in @ Y1 @ (prop2set @ Y0)) => 86.74/11.74 (Y0))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((in @ Y0 @ emptyset) => 86.74/11.74 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.74 (((((??) @ (^[Y1 : $i]: 86.74/11.74 (((Y0 @ Y1) & 86.74/11.74 (((!!) @ (^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i]: 86.74/11.74 (((((!!) @ (^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (((in @ Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ Y2 @ 86.74/11.74 Y0)))))) => 86.74/11.74 (((Y0) = (Y1))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((!!) @ (^[Y1 : $i]: 86.74/11.74 (((~) @ (in @ 86.74/11.74 Y1 @ Y0)))))) => 86.74/11.74 (((Y0) = (emptyset)))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((!!) @ (^[Y1 : $i]: 86.74/11.74 (((~) @ ( 86.74/11.74 in @ Y1 @ Y0)))))) => 86.74/11.74 (((Y0) = (emptyset)))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (((in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ Y1)) <=> 86.74/11.74 (Y1 @ Y2)))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((Y0) != (emptyset))) => 86.74/11.74 (((??) @ (^[Y1 : $i]: 86.74/11.74 (in @ Y1 @ 86.74/11.74 Y0))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) != 86.74/11.74 (emptyset)))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((((??) @ (^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ Y0)))) => 86.74/11.74 (((Y0) != (emptyset)))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ (^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (((in @ emptyset @ 86.74/11.74 (setadjoin @ emptyset @ 86.74/11.74 emptyset)) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ Y1))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0))) => 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (Y3))) => 86.74/11.74 (Y3))))))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (((!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) | 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0)))))))))))))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 ($true))) = 86.74/11.74 (Y0)))))) => 86.74/11.74 (((((!!) @ (^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)))))))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (in @ 86.74/11.74 emptyset @ 86.74/11.74 (powerset @ 86.74/11.74 Y0))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (in @ 86.74/11.74 emptyset @ 86.74/11.74 (powerset @ 86.74/11.74 Y0))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))))))))))) => 86.74/11.74 (((((!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 Y0))))))))))))))) => 86.74/11.74 (((( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 Y0)) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y3 @ 86.74/11.74 Y0) => 86.74/11.74 (Y2)))))))) => 86.74/11.74 (Y2)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 ( 86.74/11.74 setunion @ 86.74/11.74 Y0))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (emptyset))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) => 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset)))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset)) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1))) | 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y0)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))) => 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) != 86.74/11.74 (emptyset))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset) => 86.74/11.74 (Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $o]: 86.74/11.74 (( 86.74/11.74 (Y0) => 86.74/11.74 (in @ 86.74/11.74 emptyset @ 86.74/11.74 ( 86.74/11.74 prop2set @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $o]: 86.74/11.74 (( 86.74/11.74 (Y0) => 86.74/11.74 (set2prop @ 86.74/11.74 ( 86.74/11.74 prop2set @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 ( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y1 @ Y2)))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) & 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 Y1 @ Y2)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (Y0 @ Y1)))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) <=> 86.74/11.74 (in @ 86.74/11.74 Y3 @ Y1))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (Y1 @ Y3))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))) <=> 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 Y2) = 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (powerset @ 86.74/11.74 Y0) = 86.74/11.74 (powerset @ 86.74/11.74 Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (setunion @ 86.74/11.74 Y0) = 86.74/11.74 (setunion @ 86.74/11.74 Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (( 86.74/11.74 (Y1) = 86.74/11.74 (Y2)))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) <=> 86.74/11.74 (Y1 @ Y3))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y0 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (??) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y2) & 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i]: 86.74/11.74 (( 86.74/11.74 (Y1 @ 86.74/11.74 Y3) => 86.74/11.74 (( 86.74/11.74 (Y2) = 86.74/11.74 (Y3))))))))))))) => 86.74/11.74 (( 86.74/11.74 (descr @ 86.74/11.74 Y0) = 86.74/11.74 (descr @ 86.74/11.74 Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $i > $o]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y4 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y4 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y5 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y5 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y4) = 86.74/11.74 (Y5))) => 86.74/11.74 (( 86.74/11.74 (Y2 @ 86.74/11.74 Y4) <=> 86.74/11.74 (Y3 @ Y5))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ 86.74/11.74 Y2) = 86.74/11.74 (dsetconstr @ 86.74/11.74 Y1 @ Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (subset @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y1))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (subset @ 86.74/11.74 emptyset @ 86.74/11.74 Y0)))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y1)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y0)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 subset @ 86.74/11.74 Y0 @ Y1)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 subset @ 86.74/11.74 Y0 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (Y1))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (~) @ ( 86.74/11.74 in @ 86.74/11.74 Y2 @ Y1))) => 86.74/11.74 (( 86.74/11.74 (Y0) != 86.74/11.74 (Y1)))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y0)))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 Y2) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ Y2)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y2) => 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 setadjoin @ 86.74/11.74 Y1 @ Y2))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y1)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (Y1))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 emptyset) => 86.74/11.74 (( 86.74/11.74 (Y0) = 86.74/11.74 (emptyset)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0)) => 86.74/11.74 (subset @ 86.74/11.74 Y1 @ Y0))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y0 @ 86.74/11.74 (powerset @ 86.74/11.74 Y0))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y0) @ 86.74/11.74 ( 86.74/11.74 powerset @ 86.74/11.74 Y1)))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (in @ 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 (powerset @ 86.74/11.74 Y0)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i > $o]: 86.74/11.74 (subset @ 86.74/11.74 (dsetconstr @ 86.74/11.74 Y0 @ Y1) @ 86.74/11.74 Y0))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (in @ 86.74/11.74 Y1 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y0 @ 86.74/11.74 (setadjoin @ 86.74/11.74 Y1 @ 86.74/11.74 emptyset))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y3 : $o]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (Y3))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (Y3))) => 86.74/11.74 (Y3))))))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binunion @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) | 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y0 @ 86.74/11.74 (binunion @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (subset @ 86.74/11.74 Y1 @ 86.74/11.74 (binunion @ 86.74/11.74 Y0 @ Y1)))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y2 @ 86.74/11.74 Y0) => 86.74/11.74 (( 86.74/11.74 (subset @ 86.74/11.74 Y2 @ 86.74/11.74 Y1) => 86.74/11.74 (subset @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1))))))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y0 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y1 : $i]: 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.74 ^[Y2 : $i]: 86.74/11.74 (( 86.74/11.74 (in @ 86.74/11.74 Y2 @ 86.74/11.74 ( 86.74/11.74 binintersect @ 86.74/11.74 Y0 @ Y1)) => 86.74/11.74 (in @ 86.74/11.74 Y2 @ Y0)))))))))))) => 86.74/11.74 (( 86.74/11.74 (( 86.74/11.74 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y0))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y1))) => 86.74/11.75 (subset @ 86.74/11.75 Y1 @ Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))))) => 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (emptyset))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 Y1))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y0))) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y1 @ Y2)) = 86.74/11.75 (binunion @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (setminus @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (emptyset))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 (setminus @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (setminus @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (emptyset))) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (Y3))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (Y3))))) => 86.74/11.75 (Y3))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 (setunion @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 (setunion @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) = 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) = 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (subset @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset) @ 86.74/11.75 Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1))) | 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (subset @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (subset @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 dsetconstr @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))) @ 86.74/11.75 ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y5 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y5 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y6 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y6 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (Y4) = 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y5 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y5 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y6 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.75 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl36])). 86.74/11.75 thf(zip_derived_cl44, plain, 86.74/11.75 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((??) @ (^[Y1 : $i]: 86.74/11.75 (((((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ Y1) => 86.74/11.75 (((!!) @ (^[Y3 : $i]: 86.74/11.75 (((in @ Y3 @ 86.74/11.75 Y2) => (in @ 86.74/11.75 Y3 @ Y0))))))))))) & 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((!!) @ (^[Y3 : $i]: 86.74/11.75 (((((in @ Y3 @ 86.74/11.75 Y0) & (in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y4 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y4) <=> 86.74/11.75 (in @ 86.74/11.75 Y3 @ Y4)))))))) => 86.74/11.75 (((Y2) = (Y3))))))))))))) & 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((!!) @ (^[Y3 : $i]: 86.74/11.75 (((((in @ Y3 @ 86.74/11.75 Y1) & (in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y4 @ 86.74/11.75 Y3) => 86.74/11.75 (in @ 86.74/11.75 Y4 @ Y2)))))) | 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y4 @ 86.74/11.75 Y2) => 86.74/11.75 (in @ 86.74/11.75 Y4 @ Y3)))))))))))))))) & 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((((((??) @ (^[Y3 : $i]: 86.74/11.75 (in @ Y3 @ Y2)))) & 86.74/11.75 (((!!) @ (^[Y3 : $i]: 86.74/11.75 (((in @ Y3 @ 86.74/11.75 Y2) => 86.74/11.75 (in @ Y3 @ 86.74/11.75 Y0)))))))) => 86.74/11.75 (((??) @ (^[Y3 : $i]: 86.74/11.75 (((??) @ ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (((in @ 86.74/11.75 Y3 @ Y1) & 86.74/11.75 (in @ 86.74/11.75 Y4 @ Y2) & 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y5 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y5 @ 86.74/11.75 Y3) & 86.74/11.75 (in @ 86.74/11.75 Y5 @ Y2)))))))) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y5 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y5 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y4 @ 86.74/11.75 Y5) | 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y6 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y6 @ 86.74/11.75 Y5) => 86.74/11.75 (in @ 86.74/11.75 Y6 @ Y3)))))))))))))))))))))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.75 (((((??) @ (^[Y1 : $i]: 86.74/11.75 (((Y0 @ Y1) & 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((Y0 @ Y2) => 86.74/11.75 (((Y1) = (Y2))))))))))))) => 86.74/11.75 (Y0 @ (descr @ Y0))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ Y0) => 86.74/11.75 (((Y1 @ Y2) => (in @ Y2 @ 86.74/11.75 (dsetconstr @ Y0 @ Y1))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ 86.74/11.75 (dsetconstr @ Y0 @ Y1)) => 86.74/11.75 (in @ Y2 @ Y0)))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ 86.74/11.75 (dsetconstr @ Y0 @ Y1)) => 86.74/11.75 (Y1 @ Y2)))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $o]: 86.74/11.75 (((!!) @ (^[Y1 : $i]: 86.74/11.75 (((in @ Y1 @ (prop2set @ Y0)) => 86.74/11.75 (Y0))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((in @ Y0 @ emptyset) => 86.74/11.75 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.75 (((((??) @ (^[Y1 : $i]: 86.74/11.75 (((Y0 @ Y1) & 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i]: 86.74/11.75 (((((!!) @ (^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))) => 86.74/11.75 (((((!!) @ (^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))) => 86.74/11.75 (((Y0) = (Y1))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((!!) @ (^[Y1 : $i]: 86.74/11.75 (((~) @ (in @ Y1 @ 86.74/11.75 Y0)))))) => 86.74/11.75 (((Y0) = (emptyset)))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((!!) @ (^[Y1 : $i]: 86.74/11.75 (((~) @ (in @ 86.74/11.75 Y1 @ Y0)))))) => 86.74/11.75 (((Y0) = (emptyset)))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (((in @ 86.74/11.75 Y2 @ 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ Y1)) <=> 86.74/11.75 (Y1 @ Y2)))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((Y0) != (emptyset))) => 86.74/11.75 (((??) @ (^[Y1 : $i]: 86.74/11.75 (in @ Y1 @ Y0))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) != 86.74/11.75 (emptyset)))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((??) @ (^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ Y0)))) => 86.74/11.75 (((Y0) != (emptyset)))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ Y1)))))))) => 86.74/11.75 (((in @ emptyset @ 86.74/11.75 (setadjoin @ emptyset @ emptyset)) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ Y1))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0))) => 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (Y3))) => 86.74/11.75 (Y3))))))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) | 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0)))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 (^[Y1 : $i]: 86.74/11.75 ($true))) = 86.74/11.75 (Y0)))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (in @ 86.74/11.75 emptyset @ 86.74/11.75 (powerset @ 86.74/11.75 Y0))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (in @ 86.74/11.75 emptyset @ 86.74/11.75 (powerset @ 86.74/11.75 Y0))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))))))))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 Y0))))))))))))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 Y0)) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y0) => 86.74/11.75 (Y2)))))))) => 86.74/11.75 (Y2)))))))))))))) => 86.74/11.75 (((( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 Y0))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) != 86.74/11.75 (emptyset))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) => 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) != 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset)))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1))) | 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))) => 86.74/11.75 (( 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) != 86.74/11.75 (emptyset))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset) => 86.74/11.75 (Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $o]: 86.74/11.75 (( 86.74/11.75 (Y0) => 86.74/11.75 (in @ 86.74/11.75 emptyset @ 86.74/11.75 ( 86.74/11.75 prop2set @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $o]: 86.74/11.75 (( 86.74/11.75 (Y0) => 86.74/11.75 (set2prop @ 86.74/11.75 ( 86.74/11.75 prop2set @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (Y0 @ Y1)))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y3 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) <=> 86.74/11.75 (in @ 86.74/11.75 Y3 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (Y1 @ Y3))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))) <=> 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 Y2) = 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ Y3))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (powerset @ 86.74/11.75 Y0) = 86.74/11.75 (powerset @ 86.74/11.75 Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (setunion @ 86.74/11.75 Y0) = 86.74/11.75 (setunion @ 86.74/11.75 Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (Y1 @ Y3))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))) => 86.74/11.75 (( 86.74/11.75 (descr @ 86.74/11.75 Y0) = 86.74/11.75 (descr @ 86.74/11.75 Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y4 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y5 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y5 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y4) = 86.74/11.75 (Y5))) => 86.74/11.75 (( 86.74/11.75 (Y2 @ 86.74/11.75 Y4) <=> 86.74/11.75 (Y3 @ Y5))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 Y2) = 86.74/11.75 (dsetconstr @ 86.74/11.75 Y1 @ Y3))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (subset @ 86.74/11.75 Y1 @ Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (subset @ 86.74/11.75 emptyset @ 86.74/11.75 Y0)))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 subset @ 86.74/11.75 Y0 @ Y1)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 subset @ 86.74/11.75 Y0 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (Y0) != 86.74/11.75 (Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (Y0) != 86.74/11.75 (Y1)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y0)))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y1 @ 86.74/11.75 Y2) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y2)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 Y1 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ Y1)))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y1)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) => 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (emptyset)))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)) => 86.74/11.75 (subset @ 86.74/11.75 Y1 @ Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 (powerset @ 86.74/11.75 Y0))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (subset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y1)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (in @ 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 (powerset @ 86.74/11.75 Y0)))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (subset @ 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $o]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (Y3))) => 86.74/11.75 (Y3))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) | 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 (binunion @ 86.74/11.75 Y0 @ Y1)))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 Y1 @ 86.74/11.75 (binunion @ 86.74/11.75 Y0 @ Y1)))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (subset @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y0))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y1))) => 86.74/11.75 (subset @ 86.74/11.75 Y1 @ Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))))) => 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (emptyset))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 Y1))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (Y0))) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (binintersect @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y1 @ Y2)) = 86.74/11.75 (binunion @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 ( 86.74/11.75 binintersect @ 86.74/11.75 Y0 @ Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (subset @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (setminus @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (emptyset))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1)))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setminus @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (subset @ 86.74/11.75 (setminus @ 86.74/11.75 Y0 @ Y1) @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (setminus @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) = 86.74/11.75 (emptyset))) => 86.74/11.75 (subset @ 86.74/11.75 Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (Y3))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (Y3))))) => 86.74/11.75 (Y3))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y0))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 symdiff @ 86.74/11.75 Y0 @ Y1))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 (setunion @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 (setunion @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 (setadjoin @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) = 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))) & 86.74/11.75 (( 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) = 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (subset @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset) @ 86.74/11.75 Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1))) | 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (subset @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (subset @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y3 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)) @ 86.74/11.75 ( 86.74/11.75 dsetconstr @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 binunion @ 86.74/11.75 Y0 @ Y1))) @ 86.74/11.75 ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y5 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y5 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y6 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y6 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (Y4) = 86.74/11.75 (setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y5 @ 86.74/11.75 emptyset) @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y5 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y6 @ 86.74/11.75 emptyset)) @ 86.74/11.75 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.75 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl40])). 86.74/11.75 thf(zip_derived_cl49, plain, 86.74/11.75 (~ (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.75 (((((??) @ (^[Y1 : $i]: 86.74/11.75 (((Y0 @ Y1) & 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((Y0 @ Y2) => 86.74/11.75 (((Y1) = (Y2))))))))))))) => 86.74/11.75 (Y0 @ (descr @ Y0))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ Y0) => 86.74/11.75 (((Y1 @ Y2) => (in @ Y2 @ 86.74/11.75 (dsetconstr @ Y0 @ Y1))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ 86.74/11.75 (dsetconstr @ Y0 @ Y1)) => 86.74/11.75 (in @ Y2 @ Y0)))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ Y2 @ 86.74/11.75 (dsetconstr @ Y0 @ Y1)) => 86.74/11.75 (Y1 @ Y2)))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $o]: 86.74/11.75 (((!!) @ (^[Y1 : $i]: 86.74/11.75 (((in @ Y1 @ (prop2set @ Y0)) => 86.74/11.75 (Y0))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((in @ Y0 @ emptyset) => 86.74/11.75 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.75 (((((??) @ (^[Y1 : $i]: 86.74/11.75 (((Y0 @ Y1) & 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (((Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i]: 86.74/11.75 (((((!!) @ (^[Y2 : $i]: 86.74/11.75 (((in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y1)))))) => 86.74/11.75 (((((!!) @ (^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))) => 86.74/11.75 (((Y0) = (Y1))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((!!) @ (^[Y1 : $i]: 86.74/11.75 (((~) @ (in @ Y1 @ Y0)))))) => 86.74/11.75 (((Y0) = (emptyset)))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((!!) @ (^[Y1 : $i]: 86.74/11.75 (((~) @ (in @ Y1 @ 86.74/11.75 Y0)))))) => 86.74/11.75 (((Y0) = (emptyset)))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ (^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 dsetconstr @ 86.74/11.75 Y0 @ Y1)) <=> 86.74/11.75 (Y1 @ Y2)))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((Y0) != (emptyset))) => 86.74/11.75 (((??) @ (^[Y1 : $i]: 86.74/11.75 (in @ Y1 @ Y0))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (((in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) != 86.74/11.75 (emptyset)))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((((??) @ (^[Y1 : $i]: 86.74/11.75 (in @ Y1 @ 86.74/11.75 Y0)))) => 86.74/11.75 (((Y0) != (emptyset)))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i]: 86.74/11.75 (in @ Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ Y1)))))))) => 86.74/11.75 (((in @ emptyset @ 86.74/11.75 (setadjoin @ emptyset @ emptyset)) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ (^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ Y1))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0))) => 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (Y3))) => 86.74/11.75 (Y3))))))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ Y1)) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) | 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0)))))))))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 (^[Y1 : $i]: 86.74/11.75 ( 86.74/11.75 $true))) = 86.74/11.75 (Y0)))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)))))))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (in @ 86.74/11.75 emptyset @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0))))) => 86.74/11.75 (((((!!) @ (^[Y0 : $i]: 86.74/11.75 (in @ 86.74/11.75 emptyset @ 86.74/11.75 (powerset @ 86.74/11.75 Y0))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 Y0)) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y1) => 86.74/11.75 (in @ 86.74/11.75 Y2 @ Y0)))))))))))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (((!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 Y0))))))))))))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 Y0)) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y3 @ 86.74/11.75 Y0) => 86.74/11.75 (Y2)))))))) => 86.74/11.75 (Y2)))))))))))))) => 86.74/11.75 (((((!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 powerset @ 86.74/11.75 ( 86.74/11.75 setunion @ 86.74/11.75 Y0))))))))))) => 86.74/11.75 (((( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) != 86.74/11.75 (emptyset))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ Y0))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) => 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) != 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset)))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset)) => 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 emptyset)))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 ( 86.74/11.75 setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1))) | 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y0)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))) => 86.74/11.75 (( 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 Y1) != 86.74/11.75 (emptyset))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y1 @ 86.74/11.75 emptyset) => 86.74/11.75 (Y0 @ Y1))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $o]: 86.74/11.75 (( 86.74/11.75 (Y0) => 86.74/11.75 (in @ 86.74/11.75 emptyset @ 86.74/11.75 ( 86.74/11.75 prop2set @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $o]: 86.74/11.75 (( 86.74/11.75 (Y0) => 86.74/11.75 (set2prop @ 86.74/11.75 ( 86.74/11.75 prop2set @ 86.74/11.75 Y0))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 ( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (Y1 @ Y2)))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) & 86.74/11.75 (( 86.74/11.75 (~) @ ( 86.74/11.75 Y1 @ Y2)))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (Y0 @ Y1)))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) => 86.74/11.75 (in @ 86.74/11.75 Y3 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y2 @ 86.74/11.75 Y0) <=> 86.74/11.75 (in @ 86.74/11.75 Y3 @ Y1))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (Y1 @ Y3))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))) <=> 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (setadjoin @ 86.74/11.75 Y0 @ 86.74/11.75 Y2) = 86.74/11.75 (setadjoin @ 86.74/11.75 Y1 @ Y3))))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (powerset @ 86.74/11.75 Y0) = 86.74/11.75 (powerset @ 86.74/11.75 Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (setunion @ 86.74/11.75 Y0) = 86.74/11.75 (setunion @ 86.74/11.75 Y1))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2))))))))))))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) => 86.74/11.75 (( 86.74/11.75 (Y1) = 86.74/11.75 (Y2)))))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))) => 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) <=> 86.74/11.75 (Y1 @ Y3))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y0 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (??) @ ( 86.74/11.75 ^[Y2 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y2) & 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i]: 86.74/11.75 (( 86.74/11.75 (Y1 @ 86.74/11.75 Y3) => 86.74/11.75 (( 86.74/11.75 (Y2) = 86.74/11.75 (Y3))))))))))))) => 86.74/11.75 (( 86.74/11.75 (descr @ 86.74/11.75 Y0) = 86.74/11.75 (descr @ 86.74/11.75 Y1))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y0 : $i]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y1 : $i]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y0) = 86.74/11.75 (Y1))) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y2 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y3 : $i > $o]: 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y4 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y4 @ 86.74/11.75 Y0) => 86.74/11.75 (( 86.74/11.75 (!!) @ ( 86.74/11.75 ^[Y5 : $i]: 86.74/11.75 (( 86.74/11.75 (in @ 86.74/11.75 Y5 @ 86.74/11.75 Y1) => 86.74/11.75 (( 86.74/11.75 (( 86.74/11.75 (Y4) = 86.74/11.75 (Y5))) => 86.74/11.75 (( 86.74/11.75 (Y2 @ 86.74/11.75 Y4) <=> 86.74/11.75 (Y3 @ Y5))))))))))))))) => 86.74/11.75 (( 86.74/11.75 (dsetconstr @ 86.74/11.75 Y0 @ 86.74/11.75 Y2) = 86.74/11.75 (dsetconstr @ 86.74/11.75 Y1 @ Y3))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (subset @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (subset @ 86.74/11.76 emptyset @ 86.74/11.76 Y0)))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 subset @ 86.74/11.76 Y0 @ Y1)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 subset @ 86.74/11.76 Y0 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (Y1)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y0)))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y2) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y2)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y1)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) => 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (emptyset)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)) => 86.74/11.76 (subset @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 (powerset @ 86.74/11.76 Y0))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y1)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (in @ 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 (powerset @ 86.74/11.76 Y0)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (subset @ 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $o]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (Y3))) => 86.74/11.76 (Y3))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) | 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 (binunion @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 (binunion @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y0))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y1))) => 86.74/11.76 (subset @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (emptyset))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y1))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y0))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y1 @ Y2)) = 86.74/11.76 (binunion @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (setminus @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (emptyset))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 (setminus @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (setminus @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (emptyset))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (Y3))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (Y3))))) => 86.74/11.76 (Y3))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 (setunion @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setunion @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) = 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) = 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset) @ 86.74/11.76 Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y1))) | 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 dsetconstr @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))) @ 86.74/11.76 ( 86.74/11.76 ^[Y4 : $i]: 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y5 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y5 @ 86.74/11.76 Y0) & 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y6 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y6 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (Y4) = 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y5 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y5 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y6 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.76 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl44])). 86.74/11.76 thf(zip_derived_cl55, plain, 86.74/11.76 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ Y0) => 86.74/11.76 (((Y1 @ Y2) => (in @ Y2 @ 86.74/11.76 (dsetconstr @ Y0 @ Y1))))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 (dsetconstr @ Y0 @ Y1)) => 86.74/11.76 (in @ Y2 @ Y0)))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 (dsetconstr @ Y0 @ Y1)) => 86.74/11.76 (Y1 @ Y2)))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $o]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((in @ Y0 @ emptyset) => 86.74/11.76 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.76 (((((??) @ (^[Y1 : $i]: 86.74/11.76 (((Y0 @ Y1) & 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((Y0 @ Y2) => 86.74/11.76 (((Y1) = 86.74/11.76 (Y2))))))))))))) => 86.74/11.76 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (((((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ Y2 @ 86.74/11.76 Y1)))))) => 86.74/11.76 (((((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))) => 86.74/11.76 (((Y0) = (Y1))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((!!) @ (^[Y1 : $i]: 86.74/11.76 (((~) @ (in @ Y1 @ Y0)))))) => 86.74/11.76 (((Y0) = (emptyset)))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((!!) @ (^[Y1 : $i]: 86.74/11.76 (((~) @ (in @ Y1 @ Y0)))))) => 86.74/11.76 (((Y0) = (emptyset)))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 dsetconstr @ 86.74/11.76 Y0 @ Y1)) <=> 86.74/11.76 (Y1 @ Y2)))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((Y0) != (emptyset))) => 86.74/11.76 (((??) @ (^[Y1 : $i]: 86.74/11.76 (in @ Y1 @ Y0))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (((Y1 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) != 86.74/11.76 (emptyset)))))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((??) @ (^[Y1 : $i]: 86.74/11.76 (in @ Y1 @ Y0)))) => 86.74/11.76 (((Y0) != (emptyset)))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (in @ Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (((in @ emptyset @ 86.74/11.76 (setadjoin @ emptyset @ emptyset)) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ Y1))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0))) => 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (Y3))) => 86.74/11.76 (Y3))))))))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) | 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0)))))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((dsetconstr @ 86.74/11.76 Y0 @ 86.74/11.76 (^[Y1 : $i]: 86.74/11.76 ($true))) = 86.74/11.76 (Y0)))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (in @ 86.74/11.76 emptyset @ 86.74/11.76 (powerset @ 86.74/11.76 Y0))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (in @ 86.74/11.76 emptyset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 Y0))))))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 Y0)) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y3) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y0) => 86.74/11.76 (Y2)))))))) => 86.74/11.76 (Y2)))))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 Y0))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) <=> 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y1)))))))))))))))) => 86.74/11.76 (((( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (emptyset))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) => 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y1))) | 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (Y1 @ Y2)))))) => 86.74/11.76 (( 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) != 86.74/11.76 (emptyset))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset) => 86.74/11.76 (Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $o]: 86.74/11.76 (( 86.74/11.76 (Y0) => 86.74/11.76 (in @ 86.74/11.76 emptyset @ 86.74/11.76 ( 86.74/11.76 prop2set @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $o]: 86.74/11.76 (( 86.74/11.76 (Y0) => 86.74/11.76 (set2prop @ 86.74/11.76 ( 86.74/11.76 prop2set @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (Y0 @ Y1)))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) <=> 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2)))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y3 @ Y1))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) <=> 86.74/11.76 (in @ 86.74/11.76 Y3 @ Y1))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2)))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) <=> 86.74/11.76 (Y1 @ Y3))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y3) => 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))))))))))))) <=> 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y1 @ 86.74/11.76 Y2) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (Y1 @ 86.74/11.76 Y3) => 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))))))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 Y2) = 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ Y3))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (powerset @ 86.74/11.76 Y0) = 86.74/11.76 (powerset @ 86.74/11.76 Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (setunion @ 86.74/11.76 Y0) = 86.74/11.76 (setunion @ 86.74/11.76 Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2)))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) <=> 86.74/11.76 (Y1 @ Y3))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y3) => 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y1 @ 86.74/11.76 Y2) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (Y1 @ 86.74/11.76 Y3) => 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y3))))))))))))) => 86.74/11.76 (( 86.74/11.76 (descr @ 86.74/11.76 Y0) = 86.74/11.76 (descr @ 86.74/11.76 Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y4 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y4 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y5 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y5 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y4) = 86.74/11.76 (Y5))) => 86.74/11.76 (( 86.74/11.76 (Y2 @ 86.74/11.76 Y4) <=> 86.74/11.76 (Y3 @ Y5))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ 86.74/11.76 Y2) = 86.74/11.76 (dsetconstr @ 86.74/11.76 Y1 @ Y3))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (subset @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (subset @ 86.74/11.76 emptyset @ 86.74/11.76 Y0)))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 subset @ 86.74/11.76 Y0 @ Y1)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 subset @ 86.74/11.76 Y0 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (Y1)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y0)))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y2) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y2)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y1)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) => 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (emptyset)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)) => 86.74/11.76 (subset @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 (powerset @ 86.74/11.76 Y0))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y1)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (in @ 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 (powerset @ 86.74/11.76 Y0)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (subset @ 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $o]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (Y3))) => 86.74/11.76 (Y3))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) | 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 (binunion @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 (binunion @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y0))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y1))) => 86.74/11.76 (subset @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))) => 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (emptyset))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y1))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (Y0))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (binintersect @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y1 @ Y2)) = 86.74/11.76 (binunion @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 ( 86.74/11.76 binintersect @ 86.74/11.76 Y0 @ Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (subset @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (setminus @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (emptyset))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1)))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setminus @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (subset @ 86.74/11.76 (setminus @ 86.74/11.76 Y0 @ Y1) @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (setminus @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) = 86.74/11.76 (emptyset))) => 86.74/11.76 (subset @ 86.74/11.76 Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (Y3))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (Y3))))) => 86.74/11.76 (Y3))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y0))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 symdiff @ 86.74/11.76 Y0 @ Y1))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 (setunion @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setunion @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 (setadjoin @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) = 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))) & 86.74/11.76 (( 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) = 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset) @ 86.74/11.76 Y0))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y1))) | 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (subset @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1)))))))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y3 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)) @ 86.74/11.76 ( 86.74/11.76 dsetconstr @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 binunion @ 86.74/11.76 Y0 @ Y1))) @ 86.74/11.76 ( 86.74/11.76 ^[Y4 : $i]: 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y5 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y5 @ 86.74/11.76 Y0) & 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y6 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y6 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (Y4) = 86.74/11.76 (setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y5 @ 86.74/11.76 emptyset) @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y5 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y6 @ 86.74/11.76 emptyset)) @ 86.74/11.76 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 86.74/11.76 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl49])). 86.74/11.76 thf(zip_derived_cl63, plain, 86.74/11.76 (~ (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 (dsetconstr @ Y0 @ Y1)) => 86.74/11.76 (in @ Y2 @ Y0)))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 (dsetconstr @ Y0 @ Y1)) => 86.74/11.76 (Y1 @ Y2)))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $o]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((in @ Y0 @ emptyset) => 86.74/11.76 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i > $o]: 86.74/11.76 (((((??) @ (^[Y1 : $i]: 86.74/11.76 (((Y0 @ Y1) & 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((Y0 @ Y2) => 86.74/11.76 (((Y1) = (Y2))))))))))))) => 86.74/11.76 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (((((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 Y0) => (in @ 86.74/11.76 Y2 @ Y1)))))) => 86.74/11.76 (((((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ Y2 @ 86.74/11.76 Y0)))))) => 86.74/11.76 (((Y0) = (Y1))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((!!) @ (^[Y1 : $i]: 86.74/11.76 (((~) @ (in @ Y1 @ Y0)))))) => 86.74/11.76 (((Y0) = (emptyset)))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((!!) @ (^[Y1 : $i]: 86.74/11.76 (((~) @ (in @ Y1 @ Y0)))))) => 86.74/11.76 (((Y0) = (emptyset)))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (((in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ Y1)) <=> 86.74/11.76 (Y1 @ Y2)))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((Y0) != (emptyset))) => 86.74/11.76 (((??) @ (^[Y1 : $i]: 86.74/11.76 (in @ Y1 @ Y0))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i > $o]: 86.74/11.76 (((!!) @ (^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (Y1 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) != 86.74/11.76 (emptyset)))))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((((??) @ (^[Y1 : $i]: 86.74/11.76 (in @ Y1 @ Y0)))) => 86.74/11.76 (((Y0) != (emptyset)))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (in @ Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ Y1)))))))) => 86.74/11.76 (((in @ emptyset @ 86.74/11.76 (setadjoin @ emptyset @ emptyset)) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ Y1))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0))) => 86.74/11.76 (Y3))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (Y3))) => 86.74/11.76 (Y3))))))))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ (^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ Y1)) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) | 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0)))))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((dsetconstr @ 86.74/11.76 Y0 @ 86.74/11.76 (^[Y1 : $i]: 86.74/11.76 ($true))) = 86.74/11.76 (Y0)))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (((( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (powerset @ 86.74/11.76 Y0)))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (in @ 86.74/11.76 emptyset @ 86.74/11.76 (powerset @ 86.74/11.76 Y0))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (in @ 86.74/11.76 emptyset @ 86.74/11.76 (powerset @ 86.74/11.76 Y0))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 Y0)) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y1) => 86.74/11.76 (in @ 86.74/11.76 Y2 @ Y0)))))))))))))) => 86.74/11.76 (((((!!) @ (^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 Y0))))))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 Y0)) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y3 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y3) => 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y3 @ 86.74/11.76 Y0) => 86.74/11.76 (Y2)))))))) => 86.74/11.76 (Y2)))))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (((!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 Y0) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 powerset @ 86.74/11.76 ( 86.74/11.76 setunion @ 86.74/11.76 Y0))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y1) & 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) => 86.74/11.76 (( 86.74/11.76 (Y1) = 86.74/11.76 (Y2))))))))))))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (Y0 @ 86.74/11.76 Y2) <=> 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y1)))))))))))))))) => 86.74/11.76 (((((!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (emptyset))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ Y0))))))))) => 86.74/11.76 (((( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) => 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) != 86.74/11.76 (Y1))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset)))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y0) = 86.74/11.76 (Y1))) => 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset)) => 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 emptyset)))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 ( 86.74/11.76 setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y1))) | 86.74/11.76 (( 86.74/11.76 (Y2) = 86.74/11.76 (Y0)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y0 @ 86.74/11.76 (setadjoin @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (Y1 @ Y2)))))) => 86.74/11.76 (( 86.74/11.76 (dsetconstr @ 86.74/11.76 Y0 @ 86.74/11.76 Y1) != 86.74/11.76 (emptyset))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y1 @ 86.74/11.76 emptyset) => 86.74/11.76 (Y0 @ Y1))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 Y1 @ Y2)))))))) => 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) => 86.74/11.76 (Y1 @ Y2)))))))))))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $o]: 86.74/11.76 (( 86.74/11.76 (Y0) => 86.74/11.76 (in @ 86.74/11.76 emptyset @ 86.74/11.76 ( 86.74/11.76 prop2set @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $o]: 86.74/11.76 (( 86.74/11.76 (Y0) => 86.74/11.76 (set2prop @ 86.74/11.76 ( 86.74/11.76 prop2set @ 86.74/11.76 Y0))))))) => 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y0 : $i]: 86.74/11.76 (( 86.74/11.76 (!!) @ ( 86.74/11.76 ^[Y1 : $i > $o]: 86.74/11.76 (( 86.74/11.76 (( 86.74/11.76 (~) @ ( 86.74/11.76 ( 86.74/11.76 (??) @ ( 86.74/11.76 ^[Y2 : $i]: 86.74/11.76 (( 86.74/11.76 (in @ 86.74/11.76 Y2 @ 86.74/11.76 Y0) & 87.40/11.77 (Y1 @ Y2)))))))) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 Y1 @ Y2)))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 ( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (Y1 @ Y2)))))))) => 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) & 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 Y1 @ Y2)))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (Y0 @ Y1)))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (( 87.40/11.77 (Y1) = 87.40/11.77 (Y2))))))))))))) => 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y1) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (( 87.40/11.77 (Y1) = 87.40/11.77 (Y2)))))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) <=> 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y1))))))))))) => 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y1) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (( 87.40/11.77 (Y1) = 87.40/11.77 (Y2)))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))) => 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (in @ 87.40/11.77 Y3 @ Y1))))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))) => 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) <=> 87.40/11.77 (in @ 87.40/11.77 Y3 @ Y1))))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y1) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (( 87.40/11.77 (Y1) = 87.40/11.77 (Y2))))))))))))) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (( 87.40/11.77 (Y1) = 87.40/11.77 (Y2)))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))) => 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) <=> 87.40/11.77 (Y1 @ Y3))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y3) => 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))))))))))))) <=> 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y1 @ 87.40/11.77 Y2) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (Y1 @ 87.40/11.77 Y3) => 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))))))))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))) => 87.40/11.77 (( 87.40/11.77 (setadjoin @ 87.40/11.77 Y0 @ 87.40/11.77 Y2) = 87.40/11.77 (setadjoin @ 87.40/11.77 Y1 @ Y3))))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (( 87.40/11.77 (powerset @ 87.40/11.77 Y0) = 87.40/11.77 (powerset @ 87.40/11.77 Y1))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (( 87.40/11.77 (setunion @ 87.40/11.77 Y0) = 87.40/11.77 (setunion @ 87.40/11.77 Y1))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y1) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (( 87.40/11.77 (Y1) = 87.40/11.77 (Y2))))))))))))) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (( 87.40/11.77 (Y1) = 87.40/11.77 (Y2)))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))) => 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) <=> 87.40/11.77 (Y1 @ Y3))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y2) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (Y0 @ 87.40/11.77 Y3) => 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (Y1 @ 87.40/11.77 Y2) & 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i]: 87.40/11.77 (( 87.40/11.77 (Y1 @ 87.40/11.77 Y3) => 87.40/11.77 (( 87.40/11.77 (Y2) = 87.40/11.77 (Y3))))))))))))) => 87.40/11.77 (( 87.40/11.77 (descr @ 87.40/11.77 Y0) = 87.40/11.77 (descr @ 87.40/11.77 Y1))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $i > $o]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y4 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y4 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y5 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y5 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y4) = 87.40/11.77 (Y5))) => 87.40/11.77 (( 87.40/11.77 (Y2 @ 87.40/11.77 Y4) <=> 87.40/11.77 (Y3 @ Y5))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (dsetconstr @ 87.40/11.77 Y0 @ 87.40/11.77 Y2) = 87.40/11.77 (dsetconstr @ 87.40/11.77 Y1 @ Y3))))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ Y1)))))) => 87.40/11.77 (subset @ 87.40/11.77 Y0 @ Y1))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (subset @ 87.40/11.77 Y1 @ Y0))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))) => 87.40/11.77 (subset @ 87.40/11.77 Y0 @ Y1))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ Y1)))))) => 87.40/11.77 (subset @ 87.40/11.77 Y0 @ Y1))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (subset @ 87.40/11.77 emptyset @ 87.40/11.77 Y0)))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ Y1)))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 in @ 87.40/11.77 Y2 @ Y1))) => 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 in @ 87.40/11.77 Y2 @ Y0)))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 in @ 87.40/11.77 Y2 @ Y1))) => 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 subset @ 87.40/11.77 Y0 @ Y1)))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 subset @ 87.40/11.77 Y0 @ Y1))) => 87.40/11.77 (( 87.40/11.77 (Y0) != 87.40/11.77 (Y1))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 in @ 87.40/11.77 Y2 @ Y1))) => 87.40/11.77 (( 87.40/11.77 (Y0) != 87.40/11.77 (Y1)))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (subset @ 87.40/11.77 Y0 @ Y0)))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y1 @ 87.40/11.77 Y2) => 87.40/11.77 (subset @ 87.40/11.77 Y0 @ Y2)))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (subset @ 87.40/11.77 Y1 @ 87.40/11.77 (setadjoin @ 87.40/11.77 Y0 @ Y1)))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y2) => 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 ( 87.40/11.77 setadjoin @ 87.40/11.77 Y1 @ Y2))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (in @ 87.40/11.77 Y0 @ 87.40/11.77 ( 87.40/11.77 powerset @ 87.40/11.77 Y1)))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y1 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (Y1))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 emptyset) => 87.40/11.77 (( 87.40/11.77 (Y0) = 87.40/11.77 (emptyset)))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y1 @ 87.40/11.77 Y0) => 87.40/11.77 (in @ 87.40/11.77 Y1 @ 87.40/11.77 ( 87.40/11.77 powerset @ 87.40/11.77 Y0)))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y1 @ 87.40/11.77 ( 87.40/11.77 powerset @ 87.40/11.77 Y0)) => 87.40/11.77 (subset @ 87.40/11.77 Y1 @ Y0))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (in @ 87.40/11.77 Y0 @ 87.40/11.77 (powerset @ 87.40/11.77 Y0))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (subset @ 87.40/11.77 ( 87.40/11.77 powerset @ 87.40/11.77 Y0) @ 87.40/11.77 ( 87.40/11.77 powerset @ 87.40/11.77 Y1)))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i > $o]: 87.40/11.77 (in @ 87.40/11.77 (dsetconstr @ 87.40/11.77 Y0 @ Y1) @ 87.40/11.77 (powerset @ 87.40/11.77 Y0)))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i > $o]: 87.40/11.77 (subset @ 87.40/11.77 (dsetconstr @ 87.40/11.77 Y0 @ Y1) @ 87.40/11.77 Y0))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binunion @ 87.40/11.77 Y0 @ Y1))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (in @ 87.40/11.77 Y1 @ 87.40/11.77 (setadjoin @ 87.40/11.77 Y0 @ 87.40/11.77 (setadjoin @ 87.40/11.77 Y1 @ 87.40/11.77 emptyset))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y1) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binunion @ 87.40/11.77 Y0 @ Y1))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y3 : $o]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binunion @ 87.40/11.77 Y0 @ Y1)) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (Y3))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y1) => 87.40/11.77 (Y3))) => 87.40/11.77 (Y3))))))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binunion @ 87.40/11.77 Y0 @ Y1)) => 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y1) | 87.40/11.77 (in @ 87.40/11.77 Y2 @ Y0)))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 (binunion @ 87.40/11.77 Y0 @ Y1)))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (subset @ 87.40/11.77 Y1 @ 87.40/11.77 (binunion @ 87.40/11.77 Y0 @ Y1)))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y1) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binintersect @ 87.40/11.77 Y0 @ Y1))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y2 @ 87.40/11.77 Y1) => 87.40/11.77 (subset @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binintersect @ 87.40/11.77 Y0 @ Y1))))))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binintersect @ 87.40/11.77 Y0 @ Y1)) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ Y0)))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (subset @ 87.40/11.77 (binintersect @ 87.40/11.77 Y0 @ Y1) @ 87.40/11.77 Y0))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) => 87.40/11.77 (( 87.40/11.77 (binintersect @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) = 87.40/11.77 (Y0))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (binintersect @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) = 87.40/11.77 (Y1))) => 87.40/11.77 (subset @ 87.40/11.77 Y1 @ Y0))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 ( 87.40/11.77 binintersect @ 87.40/11.77 Y0 @ Y1)) => 87.40/11.77 (in @ 87.40/11.77 Y2 @ Y1)))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (~) @ ( 87.40/11.77 ( 87.40/11.77 (??) @ ( 87.40/11.77 ^[Y2 : $i]: 87.40/11.77 (( 87.40/11.77 (in @ 87.40/11.77 Y2 @ 87.40/11.77 Y0) & 87.40/11.77 (in @ 87.40/11.77 Y2 @ Y1)))))))) => 87.40/11.77 (( 87.40/11.77 (binintersect @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) = 87.40/11.77 (emptyset))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (subset @ 87.40/11.77 (binintersect @ 87.40/11.77 Y0 @ Y1) @ 87.40/11.77 Y1))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (subset @ 87.40/11.77 Y1 @ 87.40/11.77 Y0) => 87.40/11.77 (( 87.40/11.77 (binintersect @ 87.40/11.77 Y0 @ 87.40/11.77 Y1) = 87.40/11.77 (Y1))))))))))) => 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y0 : $i]: 87.40/11.77 (( 87.40/11.77 (!!) @ ( 87.40/11.77 ^[Y1 : $i]: 87.40/11.77 (( 87.40/11.77 (( 87.40/11.77 (binintersect @ 87.40/11.77 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (Y0))) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y1))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y1 @ Y2)) = 87.40/11.78 (binunion @ 87.40/11.78 ( 87.40/11.78 binintersect @ 87.40/11.78 Y0 @ Y1) @ 87.40/11.78 ( 87.40/11.78 binintersect @ 87.40/11.78 Y0 @ Y2))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setminus @ 87.40/11.78 Y0 @ Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setminus @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y0)))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setminus @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1)))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (setminus @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (emptyset))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setminus @ 87.40/11.78 Y0 @ Y1)))) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y1)))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setminus @ 87.40/11.78 Y0 @ Y1)))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y0)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y0))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setminus @ 87.40/11.78 Y0 @ Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setminus @ 87.40/11.78 Y0 @ Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (subset @ 87.40/11.78 (setminus @ 87.40/11.78 Y0 @ Y1) @ 87.40/11.78 Y0))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (setminus @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (emptyset))) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y1))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 symdiff @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (Y3))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y0))) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (Y3))))) => 87.40/11.78 (Y3))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 symdiff @ 87.40/11.78 Y0 @ Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y0))) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 symdiff @ 87.40/11.78 Y0 @ Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 symdiff @ 87.40/11.78 Y0 @ Y1))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y0))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 symdiff @ 87.40/11.78 Y0 @ Y1))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y0 @ 87.40/11.78 (setunion @ 87.40/11.78 (setadjoin @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 (setadjoin @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 (setunion @ 87.40/11.78 (setadjoin @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 (setadjoin @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setunion @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))) & 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 ( 87.40/11.78 setunion @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))) & 87.40/11.78 (( 87.40/11.78 (setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)) = 87.40/11.78 (setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setunion @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))) & 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 ( 87.40/11.78 setunion @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))) & 87.40/11.78 (( 87.40/11.78 (setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)) = 87.40/11.78 (setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 Y0) => 87.40/11.78 (subset @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset) @ 87.40/11.78 Y0))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 Y0)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1)))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y1))) | 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y0)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 Y1) => 87.40/11.78 (subset @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1)))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 Y1) => 87.40/11.78 (subset @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)) @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)) @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1)))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)) @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1)))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y3 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)) @ 87.40/11.78 ( 87.40/11.78 dsetconstr @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1))) @ 87.40/11.78 ( 87.40/11.78 ^[Y4 : $i]: 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y5 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y5 @ 87.40/11.78 Y0) & 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y6 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y6 @ 87.40/11.78 Y1) & 87.40/11.78 (( 87.40/11.78 (Y4) = 87.40/11.78 (setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y5 @ 87.40/11.78 emptyset) @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y5 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y6 @ 87.40/11.78 emptyset)) @ 87.40/11.78 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.40/11.78 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl55])). 87.40/11.78 thf(zip_derived_cl77, plain, 87.40/11.78 (~ (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i > $o]: 87.40/11.78 (((!!) @ (^[Y2 : $i]: 87.40/11.78 (((in @ Y2 @ 87.40/11.78 (dsetconstr @ Y0 @ Y1)) => 87.40/11.78 (Y1 @ Y2)))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $o]: 87.40/11.78 (((!!) @ (^[Y1 : $i]: 87.40/11.78 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((in @ Y0 @ emptyset) => 87.40/11.78 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i > $o]: 87.40/11.78 (((((??) @ (^[Y1 : $i]: 87.40/11.78 (((Y0 @ Y1) & 87.40/11.78 (((!!) @ (^[Y2 : $i]: 87.40/11.78 (((Y0 @ Y2) => 87.40/11.78 (((Y1) = (Y2))))))))))))) => 87.40/11.78 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i]: 87.40/11.78 (((((!!) @ (^[Y2 : $i]: 87.40/11.78 (((in @ Y2 @ 87.40/11.78 Y0) => (in @ 87.40/11.78 Y2 @ Y1)))))) => 87.40/11.78 (((((!!) @ (^[Y2 : $i]: 87.40/11.78 (((in @ Y2 @ 87.40/11.78 Y1) => (in @ 87.40/11.78 Y2 @ Y0)))))) => 87.40/11.78 (((Y0) = (Y1))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((((!!) @ (^[Y1 : $i]: 87.40/11.78 (((~) @ (in @ Y1 @ Y0)))))) => 87.40/11.78 (((Y0) = (emptyset)))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((((!!) @ (^[Y1 : $i]: 87.40/11.78 (((~) @ (in @ Y1 @ Y0)))))) => 87.40/11.78 (((Y0) = (emptyset)))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i > $o]: 87.40/11.78 (((!!) @ (^[Y2 : $i]: 87.40/11.78 (((in @ Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (((in @ 87.40/11.78 Y2 @ 87.40/11.78 (dsetconstr @ 87.40/11.78 Y0 @ Y1)) <=> 87.40/11.78 (Y1 @ Y2)))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((((Y0) != (emptyset))) => 87.40/11.78 (((??) @ (^[Y1 : $i]: 87.40/11.78 (in @ Y1 @ Y0))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i > $o]: 87.40/11.78 (((!!) @ (^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (Y1 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (dsetconstr @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) != 87.40/11.78 (emptyset)))))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((((??) @ (^[Y1 : $i]: 87.40/11.78 (in @ Y1 @ Y0)))) => 87.40/11.78 (((Y0) != (emptyset)))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i]: 87.40/11.78 (in @ Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ Y1)))))))) => 87.40/11.78 (((in @ emptyset @ 87.40/11.78 (setadjoin @ emptyset @ emptyset)) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i]: 87.40/11.78 (((!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ Y1))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i]: 87.40/11.78 (((!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y0))) => 87.40/11.78 (Y3))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (Y3))) => 87.40/11.78 (Y3))))))))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ (^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) | 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y0)))))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((dsetconstr @ 87.40/11.78 Y0 @ 87.40/11.78 (^[Y1 : $i]: 87.40/11.78 ($true))) = 87.40/11.78 (Y0)))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (((((!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y0)))))) => 87.40/11.78 (in @ Y1 @ 87.40/11.78 (powerset @ 87.40/11.78 Y0)))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (in @ 87.40/11.78 emptyset @ 87.40/11.78 (powerset @ Y0))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (in @ 87.40/11.78 emptyset @ 87.40/11.78 (powerset @ 87.40/11.78 Y0))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (((!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 Y0)) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y0)))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 setunion @ 87.40/11.78 Y0))))))))))))))) => 87.40/11.78 (((((!!) @ (^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 setunion @ 87.40/11.78 Y0)) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 Y3) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y3 @ 87.40/11.78 Y0) => 87.40/11.78 (Y2)))))))) => 87.40/11.78 (Y2)))))))))))))) => 87.40/11.78 (((((!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (((!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 ( 87.40/11.78 setunion @ 87.40/11.78 Y0))))))))))) => 87.40/11.78 (((((!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (((( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2))))))))))))) => 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) <=> 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y1)))))))))))))))) => 87.40/11.78 (((((!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) != 87.40/11.78 (emptyset))) => 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y1 @ Y0))))))))) => 87.40/11.78 (((((!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) => 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))))))))))) => 87.40/11.78 (((( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) != 87.40/11.78 (Y1))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset)))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (in @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset)) => 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y1))) | 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y0)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (Y1 @ Y2)))))) => 87.40/11.78 (( 87.40/11.78 (dsetconstr @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) != 87.40/11.78 (emptyset))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset) => 87.40/11.78 (Y0 @ Y1))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 ( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (Y1 @ Y2)))))))) => 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 Y1 @ Y2)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 Y1 @ Y2)))))))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 ( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (Y1 @ Y2)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 ( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (Y1 @ Y2)))))))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 Y1 @ Y2)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 Y1 @ Y2)))))))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 ( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (Y1 @ Y2)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $o]: 87.40/11.78 (( 87.40/11.78 (Y0) => 87.40/11.78 (in @ 87.40/11.78 emptyset @ 87.40/11.78 ( 87.40/11.78 prop2set @ 87.40/11.78 Y0))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $o]: 87.40/11.78 (( 87.40/11.78 (Y0) => 87.40/11.78 (set2prop @ 87.40/11.78 ( 87.40/11.78 prop2set @ 87.40/11.78 Y0))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 ( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (Y1 @ Y2)))))))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 Y1 @ Y2)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 ( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (Y1 @ Y2)))))))) => 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 Y1 @ Y2)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (Y0 @ Y1)))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2))))))))))))) => 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2)))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) <=> 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y1))))))))))) => 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2)))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y3 @ Y1))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) <=> 87.40/11.78 (in @ 87.40/11.78 Y3 @ Y1))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2))))))))))))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2)))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))) => 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) <=> 87.40/11.78 (Y1 @ Y3))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y3) => 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))))))))))))) <=> 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y1 @ 87.40/11.78 Y2) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (Y1 @ 87.40/11.78 Y3) => 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))))))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))) => 87.40/11.78 (( 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 Y2) = 87.40/11.78 (setadjoin @ 87.40/11.78 Y1 @ Y3))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (( 87.40/11.78 (powerset @ 87.40/11.78 Y0) = 87.40/11.78 (powerset @ 87.40/11.78 Y1))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (( 87.40/11.78 (setunion @ 87.40/11.78 Y0) = 87.40/11.78 (setunion @ 87.40/11.78 Y1))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2))))))))))))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (( 87.40/11.78 (Y1) = 87.40/11.78 (Y2)))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))) => 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) <=> 87.40/11.78 (Y1 @ Y3))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y2) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (Y0 @ 87.40/11.78 Y3) => 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (Y1 @ 87.40/11.78 Y2) & 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i]: 87.40/11.78 (( 87.40/11.78 (Y1 @ 87.40/11.78 Y3) => 87.40/11.78 (( 87.40/11.78 (Y2) = 87.40/11.78 (Y3))))))))))))) => 87.40/11.78 (( 87.40/11.78 (descr @ 87.40/11.78 Y0) = 87.40/11.78 (descr @ 87.40/11.78 Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $i > $o]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y4 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y4 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y5 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y5 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y4) = 87.40/11.78 (Y5))) => 87.40/11.78 (( 87.40/11.78 (Y2 @ 87.40/11.78 Y4) <=> 87.40/11.78 (Y3 @ Y5))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (dsetconstr @ 87.40/11.78 Y0 @ 87.40/11.78 Y2) = 87.40/11.78 (dsetconstr @ 87.40/11.78 Y1 @ Y3))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y1)))))) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y1))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (subset @ 87.40/11.78 Y1 @ Y0))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y1))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y1)))))) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y1))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (subset @ 87.40/11.78 emptyset @ 87.40/11.78 Y0)))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y1)))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y0)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 subset @ 87.40/11.78 Y0 @ Y1)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 subset @ 87.40/11.78 Y0 @ Y1))) => 87.40/11.78 (( 87.40/11.78 (Y0) != 87.40/11.78 (Y1))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 in @ 87.40/11.78 Y2 @ Y1))) => 87.40/11.78 (( 87.40/11.78 (Y0) != 87.40/11.78 (Y1)))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y0)))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y1 @ 87.40/11.78 Y2) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y2)))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (subset @ 87.40/11.78 Y1 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ Y1)))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y2) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 setadjoin @ 87.40/11.78 Y1 @ Y2))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 Y0 @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 Y1)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y1 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (Y1))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 emptyset) => 87.40/11.78 (( 87.40/11.78 (Y0) = 87.40/11.78 (emptyset)))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y1 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 Y0)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 Y0)) => 87.40/11.78 (subset @ 87.40/11.78 Y1 @ Y0))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y0 @ 87.40/11.78 (powerset @ 87.40/11.78 Y0))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (subset @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 Y0) @ 87.40/11.78 ( 87.40/11.78 powerset @ 87.40/11.78 Y1)))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (in @ 87.40/11.78 (dsetconstr @ 87.40/11.78 Y0 @ Y1) @ 87.40/11.78 (powerset @ 87.40/11.78 Y0)))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i > $o]: 87.40/11.78 (subset @ 87.40/11.78 (dsetconstr @ 87.40/11.78 Y0 @ Y1) @ 87.40/11.78 Y0))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (in @ 87.40/11.78 Y1 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y0 @ 87.40/11.78 (setadjoin @ 87.40/11.78 Y1 @ 87.40/11.78 emptyset))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y3 : $o]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (Y3))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (Y3))) => 87.40/11.78 (Y3))))))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binunion @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) | 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y0)))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 (binunion @ 87.40/11.78 Y0 @ Y1)))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (subset @ 87.40/11.78 Y1 @ 87.40/11.78 (binunion @ 87.40/11.78 Y0 @ Y1)))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binintersect @ 87.40/11.78 Y0 @ Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y2 @ 87.40/11.78 Y1) => 87.40/11.78 (subset @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binintersect @ 87.40/11.78 Y0 @ Y1))))))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binintersect @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y0)))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (subset @ 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ Y1) @ 87.40/11.78 Y0))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) => 87.40/11.78 (( 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (Y0))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (Y1))) => 87.40/11.78 (subset @ 87.40/11.78 Y1 @ Y0))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 ( 87.40/11.78 binintersect @ 87.40/11.78 Y0 @ Y1)) => 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y1)))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (~) @ ( 87.40/11.78 ( 87.40/11.78 (??) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (in @ 87.40/11.78 Y2 @ 87.40/11.78 Y0) & 87.40/11.78 (in @ 87.40/11.78 Y2 @ Y1)))))))) => 87.40/11.78 (( 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (emptyset))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (subset @ 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ Y1) @ 87.40/11.78 Y1))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (subset @ 87.40/11.78 Y1 @ 87.40/11.78 Y0) => 87.40/11.78 (( 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (Y1))))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (binintersect @ 87.40/11.78 Y0 @ 87.40/11.78 Y1) = 87.40/11.78 (Y0))) => 87.40/11.78 (subset @ 87.40/11.78 Y0 @ Y1))))))))) => 87.40/11.78 (( 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y0 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y1 : $i]: 87.40/11.78 (( 87.40/11.78 (!!) @ ( 87.40/11.78 ^[Y2 : $i]: 87.40/11.78 (( 87.40/11.78 (binintersect @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y1 @ Y2)) = 87.56/11.78 (binunion @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y1) @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y2))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y0)))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1)))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (setminus @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (emptyset))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1)))) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y1)))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1)))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y0)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y0))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (subset @ 87.56/11.78 (setminus @ 87.56/11.78 Y0 @ Y1) @ 87.56/11.78 Y0))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (setminus @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (emptyset))) => 87.56/11.78 (subset @ 87.56/11.78 Y0 @ Y1))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 symdiff @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (Y3))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y0))) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (Y3))))) => 87.56/11.78 (Y3))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 symdiff @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y0))) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 symdiff @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 symdiff @ 87.56/11.78 Y0 @ Y1))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y0))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 symdiff @ 87.56/11.78 Y0 @ Y1))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y0 @ 87.56/11.78 (setunion @ 87.56/11.78 (setadjoin @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 (setadjoin @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 (setunion @ 87.56/11.78 (setadjoin @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 (setadjoin @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setunion @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))) & 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 ( 87.56/11.78 setunion @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))) & 87.56/11.78 (( 87.56/11.78 (setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)) = 87.56/11.78 (setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setunion @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))) & 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 ( 87.56/11.78 setunion @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))) & 87.56/11.78 (( 87.56/11.78 (setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)) = 87.56/11.78 (setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 Y0) => 87.56/11.78 (subset @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset) @ 87.56/11.78 Y0))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y0)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1)))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y1))) | 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y0)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 Y1) => 87.56/11.78 (subset @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1)))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 Y1) => 87.56/11.78 (subset @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)) @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)) @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1)))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)) @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1)))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y3 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)) @ 87.56/11.78 ( 87.56/11.78 dsetconstr @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1))) @ 87.56/11.78 ( 87.56/11.78 ^[Y4 : $i]: 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y5 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y5 @ 87.56/11.78 Y0) & 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y6 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y6 @ 87.56/11.78 Y1) & 87.56/11.78 (( 87.56/11.78 (Y4) = 87.56/11.78 (setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y5 @ 87.56/11.78 emptyset) @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y5 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y6 @ 87.56/11.78 emptyset)) @ 87.56/11.78 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.78 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl63])). 87.56/11.78 thf(zip_derived_cl93, plain, 87.56/11.78 (~ (((((!!) @ (^[Y0 : $o]: 87.56/11.78 (((!!) @ (^[Y1 : $i]: 87.56/11.78 (((in @ Y1 @ (prop2set @ Y0)) => (Y0))))))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (((in @ Y0 @ emptyset) => 87.56/11.78 (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.78 (((((??) @ (^[Y1 : $i]: 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87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) | 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y0)))))))))))))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (((dsetconstr @ Y0 @ 87.56/11.78 (^[Y1 : $i]: ($true))) = 87.56/11.78 (Y0)))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (((!!) @ (^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y0)))))) => 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y0)))))))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (in @ emptyset @ 87.56/11.78 (powerset @ Y0))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (in @ 87.56/11.78 emptyset @ 87.56/11.78 (powerset @ Y0))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (((!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y0)) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y0)))))))))))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (((!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 setunion @ 87.56/11.78 Y0))))))))))))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 setunion @ 87.56/11.78 Y0)) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 Y3) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y3 @ 87.56/11.78 Y0) => 87.56/11.78 (Y2)))))))) => 87.56/11.78 (Y2)))))))))))))) => 87.56/11.78 (((((!!) @ (^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 ( 87.56/11.78 setunion @ 87.56/11.78 Y0))))))))))) => 87.56/11.78 (((((!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (((((??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2))))))))))))) => 87.56/11.78 (((??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) <=> 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y1)))))))))))))))) => 87.56/11.78 (((((!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (((( 87.56/11.78 (Y0) != 87.56/11.78 (emptyset))) => 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y1 @ Y0))))))))) => 87.56/11.78 (((((!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) => 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))))))))))) => 87.56/11.78 (((((!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) != 87.56/11.78 (Y1))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset)))))))))))) => 87.56/11.78 (((( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (in @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset)) => 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y1))) | 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y0)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y0 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (Y1 @ Y2)))))) => 87.56/11.78 (( 87.56/11.78 (dsetconstr @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) != 87.56/11.78 (emptyset))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset) => 87.56/11.78 (Y0 @ Y1))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 ( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (Y1 @ Y2)))))))) => 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 Y1 @ Y2)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 Y1 @ Y2)))))))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 ( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (Y1 @ Y2)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 ( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (Y1 @ Y2)))))))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 Y1 @ Y2)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 Y1 @ Y2)))))))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 ( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (Y1 @ Y2)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $o]: 87.56/11.78 (( 87.56/11.78 (Y0) => 87.56/11.78 (in @ 87.56/11.78 emptyset @ 87.56/11.78 ( 87.56/11.78 prop2set @ 87.56/11.78 Y0))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $o]: 87.56/11.78 (( 87.56/11.78 (Y0) => 87.56/11.78 (set2prop @ 87.56/11.78 ( 87.56/11.78 prop2set @ 87.56/11.78 Y0))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 ( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (Y1 @ Y2)))))))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 Y1 @ Y2)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 ( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (Y1 @ Y2)))))))) => 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 Y1 @ Y2)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (Y0 @ Y1)))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2))))))))))))) => 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2)))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) <=> 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y1))))))))))) => 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2)))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y3 @ Y1))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) <=> 87.56/11.78 (in @ 87.56/11.78 Y3 @ Y1))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2))))))))))))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2)))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))) => 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) <=> 87.56/11.78 (Y1 @ Y3))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y3) => 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))))))))))))) <=> 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y1 @ 87.56/11.78 Y2) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (Y1 @ 87.56/11.78 Y3) => 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))))))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))) => 87.56/11.78 (( 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 Y2) = 87.56/11.78 (setadjoin @ 87.56/11.78 Y1 @ Y3))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (( 87.56/11.78 (powerset @ 87.56/11.78 Y0) = 87.56/11.78 (powerset @ 87.56/11.78 Y1))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (( 87.56/11.78 (setunion @ 87.56/11.78 Y0) = 87.56/11.78 (setunion @ 87.56/11.78 Y1))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2))))))))))))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (( 87.56/11.78 (Y1) = 87.56/11.78 (Y2)))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))) => 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) <=> 87.56/11.78 (Y1 @ Y3))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y2) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (Y0 @ 87.56/11.78 Y3) => 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (Y1 @ 87.56/11.78 Y2) & 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i]: 87.56/11.78 (( 87.56/11.78 (Y1 @ 87.56/11.78 Y3) => 87.56/11.78 (( 87.56/11.78 (Y2) = 87.56/11.78 (Y3))))))))))))) => 87.56/11.78 (( 87.56/11.78 (descr @ 87.56/11.78 Y0) = 87.56/11.78 (descr @ 87.56/11.78 Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $i > $o]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y4 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y4 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y5 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y5 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y4) = 87.56/11.78 (Y5))) => 87.56/11.78 (( 87.56/11.78 (Y2 @ 87.56/11.78 Y4) <=> 87.56/11.78 (Y3 @ Y5))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (dsetconstr @ 87.56/11.78 Y0 @ 87.56/11.78 Y2) = 87.56/11.78 (dsetconstr @ 87.56/11.78 Y1 @ Y3))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y1)))))) => 87.56/11.78 (subset @ 87.56/11.78 Y0 @ Y1))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (subset @ 87.56/11.78 Y1 @ Y0))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))) => 87.56/11.78 (subset @ 87.56/11.78 Y0 @ Y1))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y1)))))) => 87.56/11.78 (subset @ 87.56/11.78 Y0 @ Y1))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (subset @ 87.56/11.78 emptyset @ 87.56/11.78 Y0)))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y1)))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y0)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 subset @ 87.56/11.78 Y0 @ Y1)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 subset @ 87.56/11.78 Y0 @ Y1))) => 87.56/11.78 (( 87.56/11.78 (Y0) != 87.56/11.78 (Y1))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (( 87.56/11.78 (Y0) != 87.56/11.78 (Y1)))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (subset @ 87.56/11.78 Y0 @ Y0)))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y1 @ 87.56/11.78 Y2) => 87.56/11.78 (subset @ 87.56/11.78 Y0 @ Y2)))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (subset @ 87.56/11.78 Y1 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ Y1)))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y2) => 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 setadjoin @ 87.56/11.78 Y1 @ Y2))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y1)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y1 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (Y1))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 emptyset) => 87.56/11.78 (( 87.56/11.78 (Y0) = 87.56/11.78 (emptyset)))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y1 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y0)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y0)) => 87.56/11.78 (subset @ 87.56/11.78 Y1 @ Y0))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y0 @ 87.56/11.78 (powerset @ 87.56/11.78 Y0))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (subset @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y0) @ 87.56/11.78 ( 87.56/11.78 powerset @ 87.56/11.78 Y1)))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (in @ 87.56/11.78 (dsetconstr @ 87.56/11.78 Y0 @ Y1) @ 87.56/11.78 (powerset @ 87.56/11.78 Y0)))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i > $o]: 87.56/11.78 (subset @ 87.56/11.78 (dsetconstr @ 87.56/11.78 Y0 @ Y1) @ 87.56/11.78 Y0))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (in @ 87.56/11.78 Y1 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y0 @ 87.56/11.78 (setadjoin @ 87.56/11.78 Y1 @ 87.56/11.78 emptyset))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y3 : $o]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (Y3))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (Y3))) => 87.56/11.78 (Y3))))))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) | 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y0)))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 (binunion @ 87.56/11.78 Y0 @ Y1)))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (subset @ 87.56/11.78 Y1 @ 87.56/11.78 (binunion @ 87.56/11.78 Y0 @ Y1)))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y2 @ 87.56/11.78 Y1) => 87.56/11.78 (subset @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y0)))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (subset @ 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ Y1) @ 87.56/11.78 Y0))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (Y0))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (Y1))) => 87.56/11.78 (subset @ 87.56/11.78 Y1 @ Y0))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y1)))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 ( 87.56/11.78 (??) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) & 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y1)))))))) => 87.56/11.78 (( 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (emptyset))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (subset @ 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ Y1) @ 87.56/11.78 Y1))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y1 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (Y1))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (Y0))) => 87.56/11.78 (subset @ 87.56/11.78 Y0 @ Y1))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (binintersect @ 87.56/11.78 Y0 @ 87.56/11.78 ( 87.56/11.78 binunion @ 87.56/11.78 Y1 @ Y2)) = 87.56/11.78 (binunion @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y1) @ 87.56/11.78 ( 87.56/11.78 binintersect @ 87.56/11.78 Y0 @ Y2))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 Y0) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1))) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1))))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (in @ 87.56/11.78 Y2 @ Y0)))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (in @ 87.56/11.78 Y2 @ 87.56/11.78 ( 87.56/11.78 setminus @ 87.56/11.78 Y0 @ Y1)) => 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.78 Y2 @ Y1)))))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (subset @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) => 87.56/11.78 (( 87.56/11.78 (setminus @ 87.56/11.78 Y0 @ 87.56/11.78 Y1) = 87.56/11.78 (emptyset))))))))))) => 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y0 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y1 : $i]: 87.56/11.78 (( 87.56/11.78 (!!) @ ( 87.56/11.78 ^[Y2 : $i]: 87.56/11.78 (( 87.56/11.78 (( 87.56/11.78 (~) @ ( 87.56/11.78 in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setminus @ 87.56/11.79 Y0 @ Y1)))) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ Y1)))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setminus @ 87.56/11.79 Y0 @ Y1)))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y1))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y0)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y0))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setminus @ 87.56/11.79 Y0 @ Y1))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setminus @ 87.56/11.79 Y0 @ Y1))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (subset @ 87.56/11.79 (setminus @ 87.56/11.79 Y0 @ Y1) @ 87.56/11.79 Y0))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (setminus @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) = 87.56/11.79 (emptyset))) => 87.56/11.79 (subset @ 87.56/11.79 Y0 @ Y1))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 symdiff @ 87.56/11.79 Y0 @ Y1)) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y1))) => 87.56/11.79 (Y3))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y0))) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (Y3))))) => 87.56/11.79 (Y3))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y1))) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 symdiff @ 87.56/11.79 Y0 @ Y1))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y0))) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 symdiff @ 87.56/11.79 Y0 @ Y1))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 symdiff @ 87.56/11.79 Y0 @ Y1))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y0))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y1))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 symdiff @ 87.56/11.79 Y0 @ Y1))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (in @ 87.56/11.79 Y0 @ 87.56/11.79 (setunion @ 87.56/11.79 (setadjoin @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 (setadjoin @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 (setunion @ 87.56/11.79 (setadjoin @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 (setadjoin @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setunion @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))) & 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 ( 87.56/11.79 setunion @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))) & 87.56/11.79 (( 87.56/11.79 (setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)) = 87.56/11.79 (setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setunion @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))) & 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 ( 87.56/11.79 setunion @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))) & 87.56/11.79 (( 87.56/11.79 (setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)) = 87.56/11.79 (setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 Y0) => 87.56/11.79 (subset @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset) @ 87.56/11.79 Y0))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y0)))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 binunion @ 87.56/11.79 Y0 @ Y1)))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y1))) | 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y0)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 Y1) => 87.56/11.79 (subset @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 ( 87.56/11.79 binunion @ 87.56/11.79 Y0 @ Y1)))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 binunion @ 87.56/11.79 Y0 @ Y1))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 Y1) => 87.56/11.79 (subset @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)) @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 binunion @ 87.56/11.79 Y0 @ Y1))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)) @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 binunion @ 87.56/11.79 Y0 @ Y1)))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)) @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 binunion @ 87.56/11.79 Y0 @ Y1)))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y3 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)) @ 87.56/11.79 ( 87.56/11.79 dsetconstr @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 binunion @ 87.56/11.79 Y0 @ Y1))) @ 87.56/11.79 ( 87.56/11.79 ^[Y4 : $i]: 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y5 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y5 @ 87.56/11.79 Y0) & 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y6 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y6 @ 87.56/11.79 Y1) & 87.56/11.79 (( 87.56/11.79 (Y4) = 87.56/11.79 (setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y5 @ 87.56/11.79 emptyset) @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y5 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y6 @ 87.56/11.79 emptyset)) @ 87.56/11.79 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.79 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl77])). 87.56/11.79 thf(zip_derived_cl108, plain, 87.56/11.79 (~ (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((in @ Y0 @ emptyset) => (((!!) @ (^[Y1 : $o]: (Y1))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.79 (((((??) @ (^[Y1 : $i]: 87.56/11.79 (((Y0 @ Y1) & 87.56/11.79 (((!!) @ (^[Y2 : $i]: 87.56/11.79 (((Y0 @ Y2) => 87.56/11.79 (((Y1) = (Y2))))))))))))) => 87.56/11.79 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i]: 87.56/11.79 (((((!!) @ (^[Y2 : $i]: 87.56/11.79 (((in @ Y2 @ Y0) => 87.56/11.79 (in @ Y2 @ Y1)))))) => 87.56/11.79 (((((!!) @ (^[Y2 : $i]: 87.56/11.79 (((in @ Y2 @ Y1) => 87.56/11.79 (in @ Y2 @ Y0)))))) => 87.56/11.79 (((Y0) = (Y1))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((((!!) @ (^[Y1 : $i]: 87.56/11.79 (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.79 (((Y0) = (emptyset)))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((((!!) @ (^[Y1 : $i]: 87.56/11.79 (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.79 (((Y0) = (emptyset)))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.79 (((!!) @ (^[Y2 : $i]: 87.56/11.79 (((in @ Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (((in @ Y2 @ 87.56/11.79 (dsetconstr @ 87.56/11.79 Y0 @ Y1)) <=> 87.56/11.79 (Y1 @ Y2)))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((((Y0) != (emptyset))) => 87.56/11.79 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.79 (((!!) @ (^[Y2 : $i]: 87.56/11.79 (((in @ Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (((Y1 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (dsetconstr @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) != 87.56/11.79 (emptyset)))))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((((??) @ (^[Y1 : $i]: 87.56/11.79 (in @ Y1 @ Y0)))) => 87.56/11.79 (((Y0) != (emptyset)))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i]: 87.56/11.79 (in @ Y0 @ 87.56/11.79 (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.79 (((in @ emptyset @ 87.56/11.79 (setadjoin @ emptyset @ emptyset)) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (((in @ Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ Y2 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ Y1))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (((in @ 87.56/11.79 Y2 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ Y1)) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y0))) => 87.56/11.79 (Y3))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (Y3))) => 87.56/11.79 (Y3))))))))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ Y1)) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) | 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y0)))))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((dsetconstr @ Y0 @ 87.56/11.79 (^[Y1 : $i]: ($true))) = 87.56/11.79 (Y0)))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ (^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ Y0)))))) => 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y0)))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (in @ emptyset @ 87.56/11.79 (powerset @ Y0))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (in @ emptyset @ 87.56/11.79 (powerset @ Y0))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y0)) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ Y0)))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 setunion @ 87.56/11.79 Y0))))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 setunion @ 87.56/11.79 Y0)) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 Y3) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y3 @ 87.56/11.79 Y0) => 87.56/11.79 (Y2)))))))) => 87.56/11.79 (Y2)))))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 ( 87.56/11.79 setunion @ 87.56/11.79 Y0))))))))))) => 87.56/11.79 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2))))))))))))) => 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) <=> 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y1)))))))))))))))) => 87.56/11.79 (((((!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (((((Y0) != 87.56/11.79 (emptyset))) => 87.56/11.79 (((??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (in @ 87.56/11.79 Y1 @ Y0))))))))) => 87.56/11.79 (((((!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (((!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) => 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))))))))))) => 87.56/11.79 (((((!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) != 87.56/11.79 (Y1))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset)))))))))))) => 87.56/11.79 (((((!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (in @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)))))))))) => 87.56/11.79 (((( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset)) => 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset)))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y1))) | 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y0)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (in @ 87.56/11.79 Y0 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) & 87.56/11.79 (Y1 @ Y2)))))) => 87.56/11.79 (( 87.56/11.79 (dsetconstr @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) != 87.56/11.79 (emptyset))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 emptyset) => 87.56/11.79 (Y0 @ Y1))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 ( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (Y1 @ Y2)))))))) => 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) & 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 Y1 @ Y2)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 Y1 @ Y2)))))))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 ( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) & 87.56/11.79 (Y1 @ Y2)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 ( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) & 87.56/11.79 (Y1 @ Y2)))))))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 Y1 @ Y2)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) & 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 Y1 @ Y2)))))))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 ( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (Y1 @ Y2)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $o]: 87.56/11.79 (( 87.56/11.79 (Y0) => 87.56/11.79 (in @ 87.56/11.79 emptyset @ 87.56/11.79 ( 87.56/11.79 prop2set @ 87.56/11.79 Y0))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $o]: 87.56/11.79 (( 87.56/11.79 (Y0) => 87.56/11.79 (set2prop @ 87.56/11.79 ( 87.56/11.79 prop2set @ 87.56/11.79 Y0))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 ( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) & 87.56/11.79 (Y1 @ Y2)))))))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 Y1 @ Y2)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 ( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (Y1 @ Y2)))))))) => 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) & 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 Y1 @ Y2)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (Y0 @ Y1)))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2))))))))))))) => 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2)))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) <=> 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y1))))))))))) => 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2)))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y3 @ Y1))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) <=> 87.56/11.79 (in @ 87.56/11.79 Y3 @ Y1))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2))))))))))))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2)))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))) => 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) <=> 87.56/11.79 (Y1 @ Y3))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y3) => 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))))))))))))) <=> 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y1 @ 87.56/11.79 Y2) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (Y1 @ 87.56/11.79 Y3) => 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))))))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))) => 87.56/11.79 (( 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ 87.56/11.79 Y2) = 87.56/11.79 (setadjoin @ 87.56/11.79 Y1 @ Y3))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (( 87.56/11.79 (powerset @ 87.56/11.79 Y0) = 87.56/11.79 (powerset @ 87.56/11.79 Y1))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (( 87.56/11.79 (setunion @ 87.56/11.79 Y0) = 87.56/11.79 (setunion @ 87.56/11.79 Y1))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2))))))))))))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (( 87.56/11.79 (Y1) = 87.56/11.79 (Y2)))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))) => 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) <=> 87.56/11.79 (Y1 @ Y3))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y2) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (Y0 @ 87.56/11.79 Y3) => 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (??) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (Y1 @ 87.56/11.79 Y2) & 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i]: 87.56/11.79 (( 87.56/11.79 (Y1 @ 87.56/11.79 Y3) => 87.56/11.79 (( 87.56/11.79 (Y2) = 87.56/11.79 (Y3))))))))))))) => 87.56/11.79 (( 87.56/11.79 (descr @ 87.56/11.79 Y0) = 87.56/11.79 (descr @ 87.56/11.79 Y1))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y3 : $i > $o]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y4 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y4 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y5 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y5 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y4) = 87.56/11.79 (Y5))) => 87.56/11.79 (( 87.56/11.79 (Y2 @ 87.56/11.79 Y4) <=> 87.56/11.79 (Y3 @ Y5))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (dsetconstr @ 87.56/11.79 Y0 @ 87.56/11.79 Y2) = 87.56/11.79 (dsetconstr @ 87.56/11.79 Y1 @ Y3))))))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ Y1)))))) => 87.56/11.79 (subset @ 87.56/11.79 Y0 @ Y1))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (subset @ 87.56/11.79 Y1 @ Y0))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))) => 87.56/11.79 (subset @ 87.56/11.79 Y0 @ Y1))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ Y1)))))) => 87.56/11.79 (subset @ 87.56/11.79 Y0 @ Y1))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (subset @ 87.56/11.79 emptyset @ 87.56/11.79 Y0)))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y2 @ Y1)))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y1))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y0)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y1))) => 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 subset @ 87.56/11.79 Y0 @ Y1)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 subset @ 87.56/11.79 Y0 @ Y1))) => 87.56/11.79 (( 87.56/11.79 (Y0) != 87.56/11.79 (Y1))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y2 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (~) @ ( 87.56/11.79 in @ 87.56/11.79 Y2 @ Y1))) => 87.56/11.79 (( 87.56/11.79 (Y0) != 87.56/11.79 (Y1)))))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (subset @ 87.56/11.79 Y0 @ Y0)))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y1 @ 87.56/11.79 Y2) => 87.56/11.79 (subset @ 87.56/11.79 Y0 @ Y2)))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (subset @ 87.56/11.79 Y1 @ 87.56/11.79 (setadjoin @ 87.56/11.79 Y0 @ Y1)))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y2 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 Y2) => 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 setadjoin @ 87.56/11.79 Y1 @ Y2))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (in @ 87.56/11.79 Y0 @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y1)))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y1 @ 87.56/11.79 Y0) => 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (Y1))))))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 emptyset) => 87.56/11.79 (( 87.56/11.79 (Y0) = 87.56/11.79 (emptyset)))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y1 @ 87.56/11.79 Y0) => 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y0)))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (in @ 87.56/11.79 Y1 @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y0)) => 87.56/11.79 (subset @ 87.56/11.79 Y1 @ Y0))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (in @ 87.56/11.79 Y0 @ 87.56/11.79 (powerset @ 87.56/11.79 Y0))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i]: 87.56/11.79 (( 87.56/11.79 (subset @ 87.56/11.79 Y0 @ 87.56/11.79 Y1) => 87.56/11.79 (subset @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y0) @ 87.56/11.79 ( 87.56/11.79 powerset @ 87.56/11.79 Y1)))))))))) => 87.56/11.79 (( 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y0 : $i]: 87.56/11.79 (( 87.56/11.79 (!!) @ ( 87.56/11.79 ^[Y1 : $i > $o]: 87.56/11.79 (in @ 87.56/11.79 (dsetconstr @ 87.56/11.79 Y0 @ Y1) @ 87.56/11.80 (powerset @ 87.56/11.80 Y0)))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i > $o]: 87.56/11.80 (subset @ 87.56/11.80 (dsetconstr @ 87.56/11.80 Y0 @ Y1) @ 87.56/11.80 Y0))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $o]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (Y3))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (Y3))) => 87.56/11.80 (Y3))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) | 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y0)))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (subset @ 87.56/11.80 Y0 @ 87.56/11.80 (binunion @ 87.56/11.80 Y0 @ Y1)))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (subset @ 87.56/11.80 Y1 @ 87.56/11.80 (binunion @ 87.56/11.80 Y0 @ Y1)))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binintersect @ 87.56/11.80 Y0 @ Y1))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (subset @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (subset @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (subset @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binintersect @ 87.56/11.80 Y0 @ Y1))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binintersect @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y0)))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (subset @ 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ Y1) @ 87.56/11.80 Y0))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (subset @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) => 87.56/11.80 (( 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) = 87.56/11.80 (Y0))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) = 87.56/11.80 (Y1))) => 87.56/11.80 (subset @ 87.56/11.80 Y1 @ Y0))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 binintersect @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y1)))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 ( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) & 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y1)))))))) => 87.56/11.80 (( 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) = 87.56/11.80 (emptyset))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (subset @ 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ Y1) @ 87.56/11.80 Y1))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (subset @ 87.56/11.80 Y1 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) = 87.56/11.80 (Y1))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) = 87.56/11.80 (Y0))) => 87.56/11.80 (subset @ 87.56/11.80 Y0 @ Y1))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (binintersect @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y1 @ Y2)) = 87.56/11.80 (binunion @ 87.56/11.80 ( 87.56/11.80 binintersect @ 87.56/11.80 Y0 @ Y1) @ 87.56/11.80 ( 87.56/11.80 binintersect @ 87.56/11.80 Y0 @ Y2))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y1))) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setminus @ 87.56/11.80 Y0 @ Y1))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setminus @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y0)))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setminus @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y1)))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (subset @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) => 87.56/11.80 (( 87.56/11.80 (setminus @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) = 87.56/11.80 (emptyset))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setminus @ 87.56/11.80 Y0 @ Y1)))) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y1)))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setminus @ 87.56/11.80 Y0 @ Y1)))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y1))) => 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y0)))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y0))) => 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setminus @ 87.56/11.80 Y0 @ Y1))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setminus @ 87.56/11.80 Y0 @ Y1))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (subset @ 87.56/11.80 (setminus @ 87.56/11.80 Y0 @ Y1) @ 87.56/11.80 Y0))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (setminus @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) = 87.56/11.80 (emptyset))) => 87.56/11.80 (subset @ 87.56/11.80 Y0 @ Y1))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 symdiff @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $o]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y1))) => 87.56/11.80 (Y3))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y0))) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (Y3))))) => 87.56/11.80 (Y3))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y1))) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 symdiff @ 87.56/11.80 Y0 @ Y1))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y0))) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 symdiff @ 87.56/11.80 Y0 @ Y1))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 symdiff @ 87.56/11.80 Y0 @ Y1))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y0))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ Y1))) => 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 symdiff @ 87.56/11.80 Y0 @ Y1))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (in @ 87.56/11.80 Y0 @ 87.56/11.80 (setunion @ 87.56/11.80 (setadjoin @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 (setadjoin @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 (setunion @ 87.56/11.80 (setadjoin @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 (setadjoin @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setunion @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))) & 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 ( 87.56/11.80 setunion @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))) & 87.56/11.80 (( 87.56/11.80 (setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)) = 87.56/11.80 (setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setunion @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))) & 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 ( 87.56/11.80 setunion @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))) & 87.56/11.80 (( 87.56/11.80 (setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)) = 87.56/11.80 (setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 Y0) => 87.56/11.80 (subset @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset) @ 87.56/11.80 Y0))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 Y0) => 87.56/11.80 (in @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 Y0)))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (in @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1)))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (Y2) = 87.56/11.80 (Y1))) | 87.56/11.80 (( 87.56/11.80 (Y2) = 87.56/11.80 (Y0)))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 Y1) => 87.56/11.80 (subset @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1)))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 Y1) => 87.56/11.80 (subset @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)) @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)) @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1)))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)) @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1)))))))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y3 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)) @ 87.56/11.80 ( 87.56/11.80 dsetconstr @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 binunion @ 87.56/11.80 Y0 @ Y1))) @ 87.56/11.80 ( 87.56/11.80 ^[Y4 : $i]: 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y5 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y5 @ 87.56/11.80 Y0) & 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y6 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y6 @ 87.56/11.80 Y1) & 87.56/11.80 (( 87.56/11.80 (Y4) = 87.56/11.80 (setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y5 @ 87.56/11.80 emptyset) @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y5 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y6 @ 87.56/11.80 emptyset)) @ 87.56/11.80 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.80 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl93])). 87.56/11.80 thf(zip_derived_cl122, plain, 87.56/11.80 (~ (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.80 (((((??) @ (^[Y1 : $i]: 87.56/11.80 (((Y0 @ Y1) & 87.56/11.80 (((!!) @ (^[Y2 : $i]: 87.56/11.80 (((Y0 @ Y2) => 87.56/11.80 (((Y1) = (Y2))))))))))))) => 87.56/11.80 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i]: 87.56/11.80 (((((!!) @ (^[Y2 : $i]: 87.56/11.80 (((in @ Y2 @ Y0) => 87.56/11.80 (in @ Y2 @ Y1)))))) => 87.56/11.80 (((((!!) @ (^[Y2 : $i]: 87.56/11.80 (((in @ Y2 @ Y1) => 87.56/11.80 (in @ Y2 @ Y0)))))) => 87.56/11.80 (((Y0) = (Y1))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.80 (((Y0) = (emptyset)))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((((!!) @ (^[Y1 : $i]: 87.56/11.80 (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.80 (((Y0) = (emptyset)))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.80 (((!!) @ (^[Y2 : $i]: 87.56/11.80 (((in @ Y2 @ Y0) => 87.56/11.80 (((in @ Y2 @ 87.56/11.80 (dsetconstr @ 87.56/11.80 Y0 @ Y1)) <=> 87.56/11.80 (Y1 @ Y2)))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((((Y0) != (emptyset))) => 87.56/11.80 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.80 (((!!) @ (^[Y2 : $i]: 87.56/11.80 (((in @ Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (((Y1 @ Y2) => 87.56/11.80 (((dsetconstr @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) != 87.56/11.80 (emptyset)))))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.56/11.80 (((Y0) != (emptyset)))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i]: 87.56/11.80 (in @ Y0 @ 87.56/11.80 (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.80 (((in @ emptyset @ 87.56/11.80 (setadjoin @ emptyset @ emptyset)) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i]: 87.56/11.80 (((!!) @ (^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ Y1))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (((in @ Y2 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y3 : $o]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (Y2) = 87.56/11.80 (Y0))) => 87.56/11.80 (Y3))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (Y3))) => 87.56/11.80 (Y3))))))))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (((in @ 87.56/11.80 Y2 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ Y1)) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y1) | 87.56/11.80 (( 87.56/11.80 (Y2) = 87.56/11.80 (Y0)))))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((dsetconstr @ Y0 @ 87.56/11.80 (^[Y1 : $i]: ($true))) = 87.56/11.80 (Y0)))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ (^[Y1 : $i]: 87.56/11.80 (((( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y0)))))) => 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 (powerset @ 87.56/11.80 Y0)))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (in @ emptyset @ 87.56/11.80 (powerset @ Y0))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (in @ emptyset @ 87.56/11.80 (powerset @ Y0))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 Y0)) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y1) => 87.56/11.80 (in @ 87.56/11.80 Y2 @ Y0)))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 Y2) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 ( 87.56/11.80 setunion @ 87.56/11.80 Y0))))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 ( 87.56/11.80 setunion @ 87.56/11.80 Y0)) => 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $o]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y3 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 Y3) => 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y3 @ 87.56/11.80 Y0) => 87.56/11.80 (Y2)))))))) => 87.56/11.80 (Y2)))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 Y0) => 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 ( 87.56/11.80 powerset @ 87.56/11.80 ( 87.56/11.80 setunion @ 87.56/11.80 Y0))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (Y0 @ 87.56/11.80 Y1) & 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (Y0 @ 87.56/11.80 Y2) => 87.56/11.80 (( 87.56/11.80 (Y1) = 87.56/11.80 (Y2))))))))))))) => 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (Y0 @ 87.56/11.80 Y2) <=> 87.56/11.80 (( 87.56/11.80 (Y2) = 87.56/11.80 (Y1)))))))))))))))) => 87.56/11.80 (((((!!) @ (^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (Y0) != 87.56/11.80 (emptyset))) => 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (in @ 87.56/11.80 Y1 @ Y0))))))))) => 87.56/11.80 (((((!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) => 87.56/11.80 (( 87.56/11.80 (Y0) = 87.56/11.80 (Y1))))))))))) => 87.56/11.80 (((((!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (((!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (Y0) != 87.56/11.80 (Y1))) => 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 in @ 87.56/11.80 Y1 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset)))))))))))) => 87.56/11.80 (((((!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (Y0) = 87.56/11.80 (Y1))) => 87.56/11.80 (in @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)))))))))) => 87.56/11.80 (((((!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset)) => 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 emptyset)))))))))) => 87.56/11.80 (((( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 ( 87.56/11.80 setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (Y2) = 87.56/11.80 (Y1))) | 87.56/11.80 (( 87.56/11.80 (Y2) = 87.56/11.80 (Y0)))))))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (in @ 87.56/11.80 Y0 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y0 @ 87.56/11.80 (setadjoin @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i > $o]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) & 87.56/11.80 (Y1 @ Y2)))))) => 87.56/11.80 (( 87.56/11.80 (dsetconstr @ 87.56/11.80 Y0 @ 87.56/11.80 Y1) != 87.56/11.80 (emptyset))))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i > $o]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y1 @ 87.56/11.80 emptyset) => 87.56/11.80 (Y0 @ Y1))))))))) => 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y0 : $i]: 87.56/11.80 (( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y1 : $i > $o]: 87.56/11.80 (( 87.56/11.80 (( 87.56/11.80 (~) @ ( 87.56/11.80 ( 87.56/11.80 (!!) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.80 Y0) => 87.56/11.80 (Y1 @ Y2)))))))) => 87.56/11.80 (( 87.56/11.80 (??) @ ( 87.56/11.80 ^[Y2 : $i]: 87.56/11.80 (( 87.56/11.80 (in @ 87.56/11.80 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $o]: 87.56/11.81 (( 87.56/11.81 (Y0) => 87.56/11.81 (in @ 87.56/11.81 emptyset @ 87.56/11.81 ( 87.56/11.81 prop2set @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $o]: 87.56/11.81 (( 87.56/11.81 (Y0) => 87.56/11.81 (set2prop @ 87.56/11.81 ( 87.56/11.81 prop2set @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (Y0 @ Y1)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y3 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) <=> 87.56/11.81 (in @ 87.56/11.81 Y3 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (Y1 @ Y3))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))) <=> 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 Y2) = 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (powerset @ 87.56/11.81 Y0) = 87.56/11.81 (powerset @ 87.56/11.81 Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (setunion @ 87.56/11.81 Y0) = 87.56/11.81 (setunion @ 87.56/11.81 Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (Y1 @ Y3))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))) => 87.56/11.81 (( 87.56/11.81 (descr @ 87.56/11.81 Y0) = 87.56/11.81 (descr @ 87.56/11.81 Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y4 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y4 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y5 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y5 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y4) = 87.56/11.81 (Y5))) => 87.56/11.81 (( 87.56/11.81 (Y2 @ 87.56/11.81 Y4) <=> 87.56/11.81 (Y3 @ Y5))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ 87.56/11.81 Y2) = 87.56/11.81 (dsetconstr @ 87.56/11.81 Y1 @ Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (subset @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (subset @ 87.56/11.81 emptyset @ 87.56/11.81 Y0)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 subset @ 87.56/11.81 Y0 @ Y1)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 subset @ 87.56/11.81 Y0 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (Y0) != 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (Y0) != 87.56/11.81 (Y1)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y0)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y2) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y2)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y1)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) => 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (emptyset)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)) => 87.56/11.81 (subset @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 (powerset @ 87.56/11.81 Y0))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y1)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (in @ 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 (powerset @ 87.56/11.81 Y0)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (subset @ 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $o]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (Y3))) => 87.56/11.81 (Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) | 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 (binunion @ 87.56/11.81 Y0 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 (binunion @ 87.56/11.81 Y0 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y0))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y1))) => 87.56/11.81 (subset @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (emptyset))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y1))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y0))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y1 @ Y2)) = 87.56/11.81 (binunion @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (setminus @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (emptyset))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 (setminus @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (setminus @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (emptyset))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (Y3))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (Y3))))) => 87.56/11.81 (Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 (setunion @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setunion @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) = 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) = 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset) @ 87.56/11.81 Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1))) | 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 dsetconstr @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))) @ 87.56/11.81 ( 87.56/11.81 ^[Y4 : $i]: 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y5 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y5 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y6 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y6 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (Y4) = 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y5 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y5 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y6 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl108])). 87.56/11.81 thf(zip_derived_cl138, plain, 87.56/11.81 (~ (((((!!) @ (^[Y0 : $i]: (((~) @ (in @ Y0 @ emptyset)))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.81 (((((??) @ (^[Y1 : $i]: 87.56/11.81 (((Y0 @ Y1) & 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (((Y0 @ Y2) => 87.56/11.81 (((Y1) = (Y2))))))))))))) => 87.56/11.81 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ Y0) => (in @ 87.56/11.81 Y2 @ Y1)))))) => 87.56/11.81 (((((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ Y1) => 87.56/11.81 (in @ Y2 @ Y0)))))) => 87.56/11.81 (((Y0) = (Y1))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.81 (((Y0) = (emptyset)))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.81 (((Y0) = (emptyset)))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ Y0) => 87.56/11.81 (((in @ Y2 @ 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ Y1)) <=> 87.56/11.81 (Y1 @ Y2)))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((Y0) != (emptyset))) => 87.56/11.81 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (((Y1 @ Y2) => 87.56/11.81 (((dsetconstr @ 87.56/11.81 Y0 @ Y1) != 87.56/11.81 (emptyset)))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.56/11.81 (((Y0) != (emptyset)))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (in @ Y0 @ 87.56/11.81 (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.81 (((in @ emptyset @ 87.56/11.81 (setadjoin @ emptyset @ emptyset)) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ Y1))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0))) => 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (Y3))) => 87.56/11.81 (Y3))))))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (((in @ 87.56/11.81 Y2 @ Y1) | 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0)))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((dsetconstr @ Y0 @ 87.56/11.81 (^[Y1 : $i]: ($true))) = 87.56/11.81 (Y0)))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))) => 87.56/11.81 (in @ Y1 @ 87.56/11.81 (powerset @ 87.56/11.81 Y0)))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (in @ emptyset @ 87.56/11.81 (powerset @ Y0))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (in @ emptyset @ 87.56/11.81 (powerset @ Y0))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 Y0))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (((in @ 87.56/11.81 Y1 @ 87.56/11.81 (setunion @ 87.56/11.81 Y0)) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y0) => 87.56/11.81 (Y2)))))))) => 87.56/11.81 (Y2)))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 Y0))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.81 (((( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1)))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) != 87.56/11.81 (emptyset))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) => 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) != 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset)))))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1))) | 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0)))))))))))))))) => 87.56/11.81 (((( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))) => 87.56/11.81 (( 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) != 87.56/11.81 (emptyset))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset) => 87.56/11.81 (Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $o]: 87.56/11.81 (( 87.56/11.81 (Y0) => 87.56/11.81 (in @ 87.56/11.81 emptyset @ 87.56/11.81 ( 87.56/11.81 prop2set @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $o]: 87.56/11.81 (( 87.56/11.81 (Y0) => 87.56/11.81 (set2prop @ 87.56/11.81 ( 87.56/11.81 prop2set @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (Y0 @ Y1)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y3 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) <=> 87.56/11.81 (in @ 87.56/11.81 Y3 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (Y1 @ Y3))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))) <=> 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 Y2) = 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (powerset @ 87.56/11.81 Y0) = 87.56/11.81 (powerset @ 87.56/11.81 Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (setunion @ 87.56/11.81 Y0) = 87.56/11.81 (setunion @ 87.56/11.81 Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (Y1 @ Y3))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y2) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (Y1 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))))))))))))) => 87.56/11.81 (( 87.56/11.81 (descr @ 87.56/11.81 Y0) = 87.56/11.81 (descr @ 87.56/11.81 Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y4 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y4 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y5 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y5 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y4) = 87.56/11.81 (Y5))) => 87.56/11.81 (( 87.56/11.81 (Y2 @ 87.56/11.81 Y4) <=> 87.56/11.81 (Y3 @ Y5))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ 87.56/11.81 Y2) = 87.56/11.81 (dsetconstr @ 87.56/11.81 Y1 @ Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (subset @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (subset @ 87.56/11.81 emptyset @ 87.56/11.81 Y0)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 subset @ 87.56/11.81 Y0 @ Y1)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 subset @ 87.56/11.81 Y0 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (Y0) != 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (Y0) != 87.56/11.81 (Y1)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y0)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y2) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y2)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y1)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) => 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (emptyset)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)) => 87.56/11.81 (subset @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 (powerset @ 87.56/11.81 Y0))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y1)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (in @ 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 (powerset @ 87.56/11.81 Y0)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (subset @ 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $o]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (Y3))) => 87.56/11.81 (Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) | 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 (binunion @ 87.56/11.81 Y0 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 (binunion @ 87.56/11.81 Y0 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y0))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y1))) => 87.56/11.81 (subset @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))) => 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (emptyset))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y1))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (Y0))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (binintersect @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y1 @ Y2)) = 87.56/11.81 (binunion @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 ( 87.56/11.81 binintersect @ 87.56/11.81 Y0 @ Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (subset @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (setminus @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (emptyset))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setminus @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (subset @ 87.56/11.81 (setminus @ 87.56/11.81 Y0 @ Y1) @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (setminus @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) = 87.56/11.81 (emptyset))) => 87.56/11.81 (subset @ 87.56/11.81 Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (Y3))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (Y3))))) => 87.56/11.81 (Y3))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y0))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 symdiff @ 87.56/11.81 Y0 @ Y1))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 (setunion @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setunion @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 (setadjoin @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) = 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))) & 87.56/11.81 (( 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) = 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset) @ 87.56/11.81 Y0))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1))) | 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (subset @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y3 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)) @ 87.56/11.81 ( 87.56/11.81 dsetconstr @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 ( 87.56/11.81 binunion @ 87.56/11.81 Y0 @ Y1))) @ 87.56/11.81 ( 87.56/11.81 ^[Y4 : $i]: 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y5 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y5 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y6 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y6 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (Y4) = 87.56/11.81 (setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y5 @ 87.56/11.81 emptyset) @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y5 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y6 @ 87.56/11.81 emptyset)) @ 87.56/11.81 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.81 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl122])). 87.56/11.81 thf(zip_derived_cl151, plain, 87.56/11.81 (~ (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.81 (((((??) @ (^[Y1 : $i]: 87.56/11.81 (((Y0 @ Y1) & 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (((Y0 @ Y2) => 87.56/11.81 (((Y1) = (Y2))))))))))))) => 87.56/11.81 (((??) @ (^[Y1 : $i]: (Y0 @ Y1))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ Y0) => (in @ 87.56/11.81 Y2 @ Y1)))))) => 87.56/11.81 (((((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ Y1) => (in @ 87.56/11.81 Y2 @ Y0)))))) => 87.56/11.81 (((Y0) = (Y1))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.81 (((Y0) = (emptyset)))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.81 (((Y0) = (emptyset)))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ Y0) => 87.56/11.81 (((in @ Y2 @ 87.56/11.81 (dsetconstr @ Y0 @ 87.56/11.81 Y1)) <=> 87.56/11.81 (Y1 @ Y2)))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((Y0) != (emptyset))) => 87.56/11.81 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ Y2 @ Y0) => 87.56/11.81 (((Y1 @ Y2) => 87.56/11.81 (((dsetconstr @ 87.56/11.81 Y0 @ Y1) != 87.56/11.81 (emptyset)))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.56/11.81 (((Y0) != (emptyset)))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (in @ Y0 @ 87.56/11.81 (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.81 (((in @ emptyset @ 87.56/11.81 (setadjoin @ emptyset @ emptyset)) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (((in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ Y1))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0))) => 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (Y3))) => 87.56/11.81 (Y3))))))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((!!) @ (^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ Y1)) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) | 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0)))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((dsetconstr @ Y0 @ 87.56/11.81 (^[Y1 : $i]: ($true))) = 87.56/11.81 (Y0)))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))) => 87.56/11.81 (in @ Y1 @ 87.56/11.81 (powerset @ Y0)))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (in @ emptyset @ 87.56/11.81 (powerset @ Y0))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (in @ emptyset @ 87.56/11.81 (powerset @ Y0))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 powerset @ 87.56/11.81 Y0)) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y1) => 87.56/11.81 (in @ 87.56/11.81 Y2 @ Y0)))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ (^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 Y0))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (((in @ Y1 @ 87.56/11.81 (setunion @ 87.56/11.81 Y0)) => 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y2 : $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 Y3) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y3 @ 87.56/11.81 Y0) => 87.56/11.81 (Y2)))))))) => 87.56/11.81 (Y2)))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (((in @ 87.56/11.81 Y1 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (powerset @ 87.56/11.81 ( 87.56/11.81 setunion @ 87.56/11.81 Y0))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.81 (((((??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (((??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1)))))))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (((( 87.56/11.81 (Y0) != 87.56/11.81 (emptyset))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ Y0))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) => 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (((((!!) @ (^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) != 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset)))))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (((!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset)) => 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 emptyset)))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 ( 87.56/11.81 setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1))) | 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y0)))))))))))))))) => 87.56/11.81 (((((!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (((( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y0 @ 87.56/11.81 (setadjoin @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))) => 87.56/11.81 (( 87.56/11.81 (dsetconstr @ 87.56/11.81 Y0 @ 87.56/11.81 Y1) != 87.56/11.81 (emptyset))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y1 @ 87.56/11.81 emptyset) => 87.56/11.81 (Y0 @ Y1))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $o]: 87.56/11.81 (( 87.56/11.81 (Y0) => 87.56/11.81 (in @ 87.56/11.81 emptyset @ 87.56/11.81 ( 87.56/11.81 prop2set @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $o]: 87.56/11.81 (( 87.56/11.81 (Y0) => 87.56/11.81 (set2prop @ 87.56/11.81 ( 87.56/11.81 prop2set @ 87.56/11.81 Y0))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 ( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (Y1 @ Y2)))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) & 87.56/11.81 (( 87.56/11.81 (~) @ ( 87.56/11.81 Y1 @ Y2)))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (Y0 @ Y1)))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) => 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2))))))))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) <=> 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y1))))))))))) => 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y2) => 87.56/11.81 (( 87.56/11.81 (Y1) = 87.56/11.81 (Y2)))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) => 87.56/11.81 (in @ 87.56/11.81 Y3 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y0) = 87.56/11.81 (Y1))) => 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y3 : $i]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (Y2) = 87.56/11.81 (Y3))) => 87.56/11.81 (( 87.56/11.81 (in @ 87.56/11.81 Y2 @ 87.56/11.81 Y0) <=> 87.56/11.81 (in @ 87.56/11.81 Y3 @ Y1))))))))))))))))))) => 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y0 : $i > $o]: 87.56/11.81 (( 87.56/11.81 (( 87.56/11.81 (??) @ ( 87.56/11.81 ^[Y1 : $i]: 87.56/11.81 (( 87.56/11.81 (Y0 @ 87.56/11.81 Y1) & 87.56/11.81 (( 87.56/11.81 (!!) @ ( 87.56/11.81 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (Y1 @ Y3))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) <=> 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) = 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (powerset @ 87.56/11.82 Y0) = 87.56/11.82 (powerset @ 87.56/11.82 Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (setunion @ 87.56/11.82 Y0) = 87.56/11.82 (setunion @ 87.56/11.82 Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (Y1 @ Y3))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) => 87.56/11.82 (( 87.56/11.82 (descr @ 87.56/11.82 Y0) = 87.56/11.82 (descr @ 87.56/11.82 Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y4 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y4 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y5 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y5 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y4) = 87.56/11.82 (Y5))) => 87.56/11.82 (( 87.56/11.82 (Y2 @ 87.56/11.82 Y4) <=> 87.56/11.82 (Y3 @ Y5))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) = 87.56/11.82 (dsetconstr @ 87.56/11.82 Y1 @ Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (subset @ 87.56/11.82 emptyset @ 87.56/11.82 Y0)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 subset @ 87.56/11.82 Y0 @ Y1)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 subset @ 87.56/11.82 Y0 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (Y0) != 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (Y0) != 87.56/11.82 (Y1)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y0)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y2) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y2)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y1)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) => 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (emptyset)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)) => 87.56/11.82 (subset @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 (powerset @ 87.56/11.82 Y0))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y1)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (in @ 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 (powerset @ 87.56/11.82 Y0)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (subset @ 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $o]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (Y3))) => 87.56/11.82 (Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) | 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 (binunion @ 87.56/11.82 Y0 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 (binunion @ 87.56/11.82 Y0 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y0))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (emptyset))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y1))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y0))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y1 @ Y2)) = 87.56/11.82 (binunion @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (setminus @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (emptyset))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 (setminus @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (setminus @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (emptyset))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (Y3))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (Y3))))) => 87.56/11.82 (Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 (setunion @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setunion @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) = 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) = 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset) @ 87.56/11.82 Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1))) | 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 dsetconstr @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))) @ 87.56/11.82 ( 87.56/11.82 ^[Y4 : $i]: 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y5 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y5 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y6 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y6 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (Y4) = 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y5 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y5 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y6 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl138])). 87.56/11.82 thf(zip_derived_cl161, plain, 87.56/11.82 (~ (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ Y0) => (in @ 87.56/11.82 Y2 @ Y1)))))) => 87.56/11.82 (((((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ Y1) => (in @ 87.56/11.82 Y2 @ Y0)))))) => 87.56/11.82 (((Y0) = (Y1))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.82 (((Y0) = (emptyset)))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.82 (((Y0) = (emptyset)))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ Y0) => 87.56/11.82 (((in @ Y2 @ 87.56/11.82 (dsetconstr @ Y0 @ Y1)) <=> 87.56/11.82 (Y1 @ Y2)))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((Y0) != (emptyset))) => 87.56/11.82 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ Y0) => 87.56/11.82 (((Y1 @ Y2) => 87.56/11.82 (((dsetconstr @ 87.56/11.82 Y0 @ Y1) != 87.56/11.82 (emptyset)))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.56/11.82 (((Y0) != (emptyset)))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (in @ Y0 @ 87.56/11.82 (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.82 (((in @ emptyset @ 87.56/11.82 (setadjoin @ emptyset @ emptyset)) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ Y2 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ Y1))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ 87.56/11.82 Y2 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0))) => 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (Y3))) => 87.56/11.82 (Y3))))))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) | 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0)))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((dsetconstr @ Y0 @ 87.56/11.82 (^[Y1 : $i]: ($true))) = (Y0)))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (((in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))) => 87.56/11.82 (in @ Y1 @ 87.56/11.82 (powerset @ Y0)))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (in @ emptyset @ 87.56/11.82 (powerset @ Y0))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (in @ emptyset @ 87.56/11.82 (powerset @ Y0))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 Y0))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 Y0)) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y0) => 87.56/11.82 (Y2)))))))) => 87.56/11.82 (Y2)))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (((in @ Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ Y1 @ 87.56/11.82 (powerset @ 87.56/11.82 (setunion @ 87.56/11.82 Y0))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.82 (((((??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (((??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1)))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((Y0) != 87.56/11.82 (emptyset))) => 87.56/11.82 (((??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) => 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) != 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset)))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) => 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1))) | 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0)))))))))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (((( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))) => 87.56/11.82 (( 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) != 87.56/11.82 (emptyset))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset) => 87.56/11.82 (Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $o]: 87.56/11.82 (( 87.56/11.82 (Y0) => 87.56/11.82 (in @ 87.56/11.82 emptyset @ 87.56/11.82 ( 87.56/11.82 prop2set @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $o]: 87.56/11.82 (( 87.56/11.82 (Y0) => 87.56/11.82 (set2prop @ 87.56/11.82 ( 87.56/11.82 prop2set @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (Y0 @ Y1)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y3 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) <=> 87.56/11.82 (in @ 87.56/11.82 Y3 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (Y1 @ Y3))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) <=> 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) = 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (powerset @ 87.56/11.82 Y0) = 87.56/11.82 (powerset @ 87.56/11.82 Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (setunion @ 87.56/11.82 Y0) = 87.56/11.82 (setunion @ 87.56/11.82 Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (Y1 @ Y3))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) => 87.56/11.82 (( 87.56/11.82 (descr @ 87.56/11.82 Y0) = 87.56/11.82 (descr @ 87.56/11.82 Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y4 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y4 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y5 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y5 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y4) = 87.56/11.82 (Y5))) => 87.56/11.82 (( 87.56/11.82 (Y2 @ 87.56/11.82 Y4) <=> 87.56/11.82 (Y3 @ Y5))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) = 87.56/11.82 (dsetconstr @ 87.56/11.82 Y1 @ Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (subset @ 87.56/11.82 emptyset @ 87.56/11.82 Y0)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 subset @ 87.56/11.82 Y0 @ Y1)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 subset @ 87.56/11.82 Y0 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (Y0) != 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (Y0) != 87.56/11.82 (Y1)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y0)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y2) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y2)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y1)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) => 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (emptyset)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)) => 87.56/11.82 (subset @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 (powerset @ 87.56/11.82 Y0))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y1)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (in @ 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 (powerset @ 87.56/11.82 Y0)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (subset @ 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $o]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (Y3))) => 87.56/11.82 (Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) | 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 (binunion @ 87.56/11.82 Y0 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 (binunion @ 87.56/11.82 Y0 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y0))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))) => 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (emptyset))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y1))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (Y0))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (binintersect @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y1 @ Y2)) = 87.56/11.82 (binunion @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 ( 87.56/11.82 binintersect @ 87.56/11.82 Y0 @ Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (setminus @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (emptyset))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setminus @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (subset @ 87.56/11.82 (setminus @ 87.56/11.82 Y0 @ Y1) @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (setminus @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) = 87.56/11.82 (emptyset))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (Y3))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (Y3))))) => 87.56/11.82 (Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y0))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 symdiff @ 87.56/11.82 Y0 @ Y1))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 (setunion @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setunion @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 (setadjoin @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) = 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))) & 87.56/11.82 (( 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) = 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset) @ 87.56/11.82 Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1))) | 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (subset @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y3 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)) @ 87.56/11.82 ( 87.56/11.82 dsetconstr @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 binunion @ 87.56/11.82 Y0 @ Y1))) @ 87.56/11.82 ( 87.56/11.82 ^[Y4 : $i]: 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y5 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y5 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y6 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y6 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (Y4) = 87.56/11.82 (setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y5 @ 87.56/11.82 emptyset) @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y5 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y6 @ 87.56/11.82 emptyset)) @ 87.56/11.82 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.82 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl151])). 87.56/11.82 thf(zip_derived_cl173, plain, 87.56/11.82 (~ (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.82 (((Y0) = (emptyset)))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.82 (((Y0) = (emptyset)))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ Y0) => 87.56/11.82 (((in @ Y2 @ 87.56/11.82 (dsetconstr @ Y0 @ Y1)) <=> 87.56/11.82 (Y1 @ Y2)))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((Y0) != (emptyset))) => 87.56/11.82 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ Y0) => 87.56/11.82 (((Y1 @ Y2) => 87.56/11.82 (((dsetconstr @ 87.56/11.82 Y0 @ Y1) != 87.56/11.82 (emptyset)))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.56/11.82 (((Y0) != (emptyset)))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.82 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ 87.56/11.82 Y1) => (in @ 87.56/11.82 Y2 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ Y1))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y3 : $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0))) => 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (Y3))) => 87.56/11.82 (Y3))))))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ (^[Y2 : $i]: 87.56/11.82 (((in @ 87.56/11.82 Y2 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ Y1)) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1) | 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0)))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((dsetconstr @ Y0 @ 87.56/11.82 (^[Y1 : $i]: ($true))) = (Y0)))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (((in @ Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ Y2 @ 87.56/11.82 Y0)))))) => 87.56/11.82 (in @ Y1 @ 87.56/11.82 (powerset @ Y0)))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (in @ emptyset @ 87.56/11.82 (powerset @ Y0))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (in @ emptyset @ 87.56/11.82 (powerset @ Y0))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 Y0)) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y1) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y0)))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 Y0))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 Y0)) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y3 @ 87.56/11.82 Y0) => 87.56/11.82 (Y2)))))))) => 87.56/11.82 (Y2)))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ (^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 powerset @ 87.56/11.82 ( 87.56/11.82 setunion @ 87.56/11.82 Y0))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.82 (((((??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (((Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (((??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1)))))))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((((Y0) != 87.56/11.82 (emptyset))) => 87.56/11.82 (((??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) => 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) != 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset)))))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (((((!!) @ (^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset)) => 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 emptyset)))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 ( 87.56/11.82 setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1))) | 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y0)))))))))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (((!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset))))))))) => 87.56/11.82 (((((!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))) => 87.56/11.82 (( 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) != 87.56/11.82 (emptyset))))))))))) => 87.56/11.82 (((( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y1 @ 87.56/11.82 emptyset) => 87.56/11.82 (Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $o]: 87.56/11.82 (( 87.56/11.82 (Y0) => 87.56/11.82 (in @ 87.56/11.82 emptyset @ 87.56/11.82 ( 87.56/11.82 prop2set @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $o]: 87.56/11.82 (( 87.56/11.82 (Y0) => 87.56/11.82 (set2prop @ 87.56/11.82 ( 87.56/11.82 prop2set @ 87.56/11.82 Y0))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 ( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (Y1 @ Y2)))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) & 87.56/11.82 (( 87.56/11.82 (~) @ ( 87.56/11.82 Y1 @ Y2)))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (Y0 @ Y1)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y3 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) <=> 87.56/11.82 (in @ 87.56/11.82 Y3 @ Y1))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (Y1 @ Y3))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) <=> 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (setadjoin @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) = 87.56/11.82 (setadjoin @ 87.56/11.82 Y1 @ Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (powerset @ 87.56/11.82 Y0) = 87.56/11.82 (powerset @ 87.56/11.82 Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (setunion @ 87.56/11.82 Y0) = 87.56/11.82 (setunion @ 87.56/11.82 Y1))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2))))))))))))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) => 87.56/11.82 (( 87.56/11.82 (Y1) = 87.56/11.82 (Y2)))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))) => 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) <=> 87.56/11.82 (Y1 @ Y3))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y0 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (??) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y2) & 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i]: 87.56/11.82 (( 87.56/11.82 (Y1 @ 87.56/11.82 Y3) => 87.56/11.82 (( 87.56/11.82 (Y2) = 87.56/11.82 (Y3))))))))))))) => 87.56/11.82 (( 87.56/11.82 (descr @ 87.56/11.82 Y0) = 87.56/11.82 (descr @ 87.56/11.82 Y1))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y3 : $i > $o]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y4 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y4 @ 87.56/11.82 Y0) => 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y5 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y5 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y4) = 87.56/11.82 (Y5))) => 87.56/11.82 (( 87.56/11.82 (Y2 @ 87.56/11.82 Y4) <=> 87.56/11.82 (Y3 @ Y5))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (dsetconstr @ 87.56/11.82 Y0 @ 87.56/11.82 Y2) = 87.56/11.82 (dsetconstr @ 87.56/11.82 Y1 @ Y3))))))))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y1 @ Y0))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (Y0) = 87.56/11.82 (Y1))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))) => 87.56/11.82 (subset @ 87.56/11.82 Y0 @ Y1))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (subset @ 87.56/11.82 emptyset @ 87.56/11.82 Y0)))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.82 Y0 @ 87.56/11.82 Y1) => 87.56/11.82 (( 87.56/11.82 (in @ 87.56/11.82 Y2 @ 87.56/11.82 Y0) => 87.56/11.82 (in @ 87.56/11.82 Y2 @ Y1)))))))))))))) => 87.56/11.82 (( 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y0 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y1 : $i]: 87.56/11.82 (( 87.56/11.82 (!!) @ ( 87.56/11.82 ^[Y2 : $i]: 87.56/11.82 (( 87.56/11.82 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 subset @ 87.56/11.83 Y0 @ Y1)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 subset @ 87.56/11.83 Y0 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (Y0) != 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (Y0) != 87.56/11.83 (Y1)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y0)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y2) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y2)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y1)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) => 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (emptyset)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)) => 87.56/11.83 (subset @ 87.56/11.83 Y1 @ Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 (powerset @ 87.56/11.83 Y0))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y1)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (in @ 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 (powerset @ 87.56/11.83 Y0)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (subset @ 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $o]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (Y3))) => 87.56/11.83 (Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) | 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 (binunion @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 (binunion @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y0))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y1))) => 87.56/11.83 (subset @ 87.56/11.83 Y1 @ Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (emptyset))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y1))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y0))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y1 @ Y2)) = 87.56/11.83 (binunion @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (setminus @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (emptyset))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 (setminus @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (setminus @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (emptyset))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (Y3))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (Y3))))) => 87.56/11.83 (Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 (setunion @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setunion @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) = 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) = 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset) @ 87.56/11.83 Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1))) | 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y0)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 dsetconstr @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))) @ 87.56/11.83 ( 87.56/11.83 ^[Y4 : $i]: 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y5 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y5 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y6 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y6 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (Y4) = 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y5 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y5 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y6 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl161])). 87.56/11.83 thf(zip_derived_cl185, plain, 87.56/11.83 (~ (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((((!!) @ (^[Y1 : $i]: (((~) @ (in @ Y1 @ Y0)))))) => 87.56/11.83 (((Y0) = (emptyset)))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ Y0) => 87.56/11.83 (((in @ Y2 @ 87.56/11.83 (dsetconstr @ Y0 @ Y1)) <=> 87.56/11.83 (Y1 @ Y2)))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((((Y0) != (emptyset))) => 87.56/11.83 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ Y0) => 87.56/11.83 (((Y1 @ Y2) => 87.56/11.83 (((dsetconstr @ Y0 @ 87.56/11.83 Y1) != (emptyset)))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.56/11.83 (((Y0) != (emptyset)))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.83 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ 87.56/11.83 Y1) => (in @ 87.56/11.83 Y2 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y3 : $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y0))) => 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (Y3))) => 87.56/11.83 (Y3))))))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (((in @ 87.56/11.83 Y2 @ Y1) | 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y0)))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((dsetconstr @ Y0 @ 87.56/11.83 (^[Y1 : $i]: ($true))) = (Y0)))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((((!!) @ (^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))) => 87.56/11.83 (in @ Y1 @ 87.56/11.83 (powerset @ Y0)))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (in @ emptyset @ (powerset @ Y0))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (in @ emptyset @ 87.56/11.83 (powerset @ Y0))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (((in @ 87.56/11.83 Y1 @ 87.56/11.83 (powerset @ 87.56/11.83 Y0)) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 Y0))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((in @ 87.56/11.83 Y1 @ 87.56/11.83 (setunion @ 87.56/11.83 Y0)) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y0) => 87.56/11.83 (Y2)))))))) => 87.56/11.83 (Y2)))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 Y0))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.83 (((((??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (((Y0 @ Y1) & 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (((??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1)))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((((Y0) != 87.56/11.83 (emptyset))) => 87.56/11.83 (((??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ Y1 @ 87.56/11.83 Y0))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (((in @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) => 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) != 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset)))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1))) | 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y0)))))))))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))) => 87.56/11.83 (( 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) != 87.56/11.83 (emptyset))))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset) => 87.56/11.83 (Y0 @ Y1))))))))) => 87.56/11.83 (((( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $o]: 87.56/11.83 (( 87.56/11.83 (Y0) => 87.56/11.83 (in @ 87.56/11.83 emptyset @ 87.56/11.83 ( 87.56/11.83 prop2set @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $o]: 87.56/11.83 (( 87.56/11.83 (Y0) => 87.56/11.83 (set2prop @ 87.56/11.83 ( 87.56/11.83 prop2set @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (Y0 @ Y1)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y3 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) <=> 87.56/11.83 (in @ 87.56/11.83 Y3 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (Y1 @ Y3))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))) <=> 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 Y2) = 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (powerset @ 87.56/11.83 Y0) = 87.56/11.83 (powerset @ 87.56/11.83 Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (setunion @ 87.56/11.83 Y0) = 87.56/11.83 (setunion @ 87.56/11.83 Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (Y1 @ Y3))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))) => 87.56/11.83 (( 87.56/11.83 (descr @ 87.56/11.83 Y0) = 87.56/11.83 (descr @ 87.56/11.83 Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y4 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y4 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y5 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y5 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y4) = 87.56/11.83 (Y5))) => 87.56/11.83 (( 87.56/11.83 (Y2 @ 87.56/11.83 Y4) <=> 87.56/11.83 (Y3 @ Y5))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ 87.56/11.83 Y2) = 87.56/11.83 (dsetconstr @ 87.56/11.83 Y1 @ Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (subset @ 87.56/11.83 Y1 @ Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (subset @ 87.56/11.83 emptyset @ 87.56/11.83 Y0)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 subset @ 87.56/11.83 Y0 @ Y1)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 subset @ 87.56/11.83 Y0 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (Y0) != 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (Y0) != 87.56/11.83 (Y1)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y0)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y2) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y2)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y1)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) => 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (emptyset)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)) => 87.56/11.83 (subset @ 87.56/11.83 Y1 @ Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 (powerset @ 87.56/11.83 Y0))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y1)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (in @ 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 (powerset @ 87.56/11.83 Y0)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (subset @ 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $o]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (Y3))) => 87.56/11.83 (Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) | 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 (binunion @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 (binunion @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y0))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y1))) => 87.56/11.83 (subset @ 87.56/11.83 Y1 @ Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (emptyset))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y1))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (Y0))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (binintersect @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y1 @ Y2)) = 87.56/11.83 (binunion @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 ( 87.56/11.83 binintersect @ 87.56/11.83 Y0 @ Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (setminus @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (emptyset))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setminus @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 (setminus @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (setminus @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) = 87.56/11.83 (emptyset))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (Y3))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (Y3))))) => 87.56/11.83 (Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 symdiff @ 87.56/11.83 Y0 @ Y1))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 (setunion @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setunion @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 (setadjoin @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) = 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))) & 87.56/11.83 (( 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) = 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset) @ 87.56/11.83 Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1))) | 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y0)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y3 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)) @ 87.56/11.83 ( 87.56/11.83 dsetconstr @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))) @ 87.56/11.83 ( 87.56/11.83 ^[Y4 : $i]: 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y5 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y5 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y6 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y6 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (Y4) = 87.56/11.83 (setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y5 @ 87.56/11.83 emptyset) @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y5 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y6 @ 87.56/11.83 emptyset)) @ 87.56/11.83 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.56/11.83 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl173])). 87.56/11.83 thf(zip_derived_cl195, plain, 87.56/11.83 (~ (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ Y0) => 87.56/11.83 (((in @ Y2 @ 87.56/11.83 (dsetconstr @ Y0 @ Y1)) <=> 87.56/11.83 (Y1 @ Y2)))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((((Y0) != (emptyset))) => 87.56/11.83 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i > $o]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ Y0) => 87.56/11.83 (((Y1 @ Y2) => 87.56/11.83 (((dsetconstr @ Y0 @ 87.56/11.83 Y1) != (emptyset)))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.56/11.83 (((Y0) != (emptyset)))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 87.56/11.83 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ Y1) => 87.56/11.83 (in @ Y2 @ 87.56/11.83 (setadjoin @ Y0 @ 87.56/11.83 Y1))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y3 : $o]: 87.56/11.83 (((( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y0))) => 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (Y3))) => 87.56/11.83 (Y3))))))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ (^[Y2 : $i]: 87.56/11.83 (((in @ Y2 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (((in @ Y2 @ 87.56/11.83 Y1) | 87.56/11.83 (((Y2) = 87.56/11.83 (Y0)))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((dsetconstr @ Y0 @ 87.56/11.83 (^[Y1 : $i]: ($true))) = (Y0)))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((((!!) @ (^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))) => 87.56/11.83 (in @ Y1 @ 87.56/11.83 (powerset @ Y0)))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (in @ emptyset @ (powerset @ Y0))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (in @ emptyset @ (powerset @ Y0))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (((in @ Y1 @ 87.56/11.83 (powerset @ 87.56/11.83 Y0)) => 87.56/11.83 (((in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (((in @ 87.56/11.83 Y1 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setunion @ 87.56/11.83 Y0))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((in @ Y1 @ 87.56/11.83 (setunion @ 87.56/11.83 Y0)) => 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y2 : $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y3 @ 87.56/11.83 Y0) => 87.56/11.83 (Y2)))))))) => 87.56/11.83 (Y2)))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ (^[Y1 : $i]: 87.56/11.83 (((in @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (powerset @ 87.56/11.83 ( 87.56/11.83 setunion @ 87.56/11.83 Y0))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i > $o]: 87.56/11.83 (((((??) @ (^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (((??) @ (^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1)))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((((Y0) != 87.56/11.83 (emptyset))) => 87.56/11.83 (((??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ Y1 @ Y0))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (((in @ Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) => 87.56/11.83 (((Y0) = 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (((( 87.56/11.83 (Y0) != 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset)))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset)) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset)))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1))) | 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y0)))))))))))))))) => 87.56/11.83 (((((!!) @ (^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (((!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))) => 87.56/11.83 (( 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) != 87.56/11.83 (emptyset))))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset) => 87.56/11.83 (Y0 @ Y1))))))))) => 87.56/11.83 (((((!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (((( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $o]: 87.56/11.83 (( 87.56/11.83 (Y0) => 87.56/11.83 (in @ 87.56/11.83 emptyset @ 87.56/11.83 ( 87.56/11.83 prop2set @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $o]: 87.56/11.83 (( 87.56/11.83 (Y0) => 87.56/11.83 (set2prop @ 87.56/11.83 ( 87.56/11.83 prop2set @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 ( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y1 @ Y2)))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) & 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 Y1 @ Y2)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (Y0 @ Y1)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y3 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) <=> 87.56/11.83 (in @ 87.56/11.83 Y3 @ Y1))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (Y1 @ Y3))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))) <=> 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 Y2) = 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (powerset @ 87.56/11.83 Y0) = 87.56/11.83 (powerset @ 87.56/11.83 Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (setunion @ 87.56/11.83 Y0) = 87.56/11.83 (setunion @ 87.56/11.83 Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (( 87.56/11.83 (Y1) = 87.56/11.83 (Y2)))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) <=> 87.56/11.83 (Y1 @ Y3))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y0 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (??) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y2) & 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i]: 87.56/11.83 (( 87.56/11.83 (Y1 @ 87.56/11.83 Y3) => 87.56/11.83 (( 87.56/11.83 (Y2) = 87.56/11.83 (Y3))))))))))))) => 87.56/11.83 (( 87.56/11.83 (descr @ 87.56/11.83 Y0) = 87.56/11.83 (descr @ 87.56/11.83 Y1))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $i > $o]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y4 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y4 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y5 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y5 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y4) = 87.56/11.83 (Y5))) => 87.56/11.83 (( 87.56/11.83 (Y2 @ 87.56/11.83 Y4) <=> 87.56/11.83 (Y3 @ Y5))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ 87.56/11.83 Y2) = 87.56/11.83 (dsetconstr @ 87.56/11.83 Y1 @ Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (subset @ 87.56/11.83 Y1 @ Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y1))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (subset @ 87.56/11.83 emptyset @ 87.56/11.83 Y0)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y1)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y0)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 subset @ 87.56/11.83 Y0 @ Y1)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 subset @ 87.56/11.83 Y0 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (Y0) != 87.56/11.83 (Y1))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (~) @ ( 87.56/11.83 in @ 87.56/11.83 Y2 @ Y1))) => 87.56/11.83 (( 87.56/11.83 (Y0) != 87.56/11.83 (Y1)))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y0)))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y2) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ Y2)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y2) => 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 setadjoin @ 87.56/11.83 Y1 @ Y2))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y1)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 emptyset) => 87.56/11.83 (( 87.56/11.83 (Y0) = 87.56/11.83 (emptyset)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0)) => 87.56/11.83 (subset @ 87.56/11.83 Y1 @ Y0))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y0 @ 87.56/11.83 (powerset @ 87.56/11.83 Y0))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 Y1) => 87.56/11.83 (subset @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y0) @ 87.56/11.83 ( 87.56/11.83 powerset @ 87.56/11.83 Y1)))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (in @ 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 (powerset @ 87.56/11.83 Y0)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i > $o]: 87.56/11.83 (subset @ 87.56/11.83 (dsetconstr @ 87.56/11.83 Y0 @ Y1) @ 87.56/11.83 Y0))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (in @ 87.56/11.83 Y1 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y0 @ 87.56/11.83 (setadjoin @ 87.56/11.83 Y1 @ 87.56/11.83 emptyset))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y3 : $o]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y0) => 87.56/11.83 (Y3))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) => 87.56/11.83 (Y3))) => 87.56/11.83 (Y3))))))))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y2 : $i]: 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 ( 87.56/11.83 binunion @ 87.56/11.83 Y0 @ Y1)) => 87.56/11.83 (( 87.56/11.83 (in @ 87.56/11.83 Y2 @ 87.56/11.83 Y1) | 87.56/11.83 (in @ 87.56/11.83 Y2 @ Y0)))))))))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y0 @ 87.56/11.83 (binunion @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y0 : $i]: 87.56/11.83 (( 87.56/11.83 (!!) @ ( 87.56/11.83 ^[Y1 : $i]: 87.56/11.83 (subset @ 87.56/11.83 Y1 @ 87.56/11.83 (binunion @ 87.56/11.83 Y0 @ Y1)))))))) => 87.56/11.83 (( 87.56/11.83 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 Y0) => 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 Y1) => 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 binintersect @ 87.56/11.84 Y0 @ Y1))))))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (subset @ 87.56/11.84 Y2 @ 87.56/11.84 Y0) => 87.56/11.84 (( 87.56/11.84 (subset @ 87.56/11.84 Y2 @ 87.56/11.84 Y1) => 87.56/11.84 (subset @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 binintersect @ 87.56/11.84 Y0 @ Y1))))))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 binintersect @ 87.56/11.84 Y0 @ Y1)) => 87.56/11.84 (in @ 87.56/11.84 Y2 @ Y0)))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (subset @ 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ Y1) @ 87.56/11.84 Y0))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (subset @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) => 87.56/11.84 (( 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) = 87.56/11.84 (Y0))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) = 87.56/11.84 (Y1))) => 87.56/11.84 (subset @ 87.56/11.84 Y1 @ Y0))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 binintersect @ 87.56/11.84 Y0 @ Y1)) => 87.56/11.84 (in @ 87.56/11.84 Y2 @ Y1)))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (~) @ ( 87.56/11.84 ( 87.56/11.84 (??) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 Y0) & 87.56/11.84 (in @ 87.56/11.84 Y2 @ Y1)))))))) => 87.56/11.84 (( 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) = 87.56/11.84 (emptyset))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (subset @ 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ Y1) @ 87.56/11.84 Y1))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (subset @ 87.56/11.84 Y1 @ 87.56/11.84 Y0) => 87.56/11.84 (( 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) = 87.56/11.84 (Y1))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) = 87.56/11.84 (Y0))) => 87.56/11.84 (subset @ 87.56/11.84 Y0 @ Y1))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (binintersect @ 87.56/11.84 Y0 @ 87.56/11.84 ( 87.56/11.84 binunion @ 87.56/11.84 Y1 @ Y2)) = 87.56/11.84 (binunion @ 87.56/11.84 ( 87.56/11.84 binintersect @ 87.56/11.84 Y0 @ Y1) @ 87.56/11.84 ( 87.56/11.84 binintersect @ 87.56/11.84 Y0 @ Y2))))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 Y0) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (~) @ ( 87.56/11.84 in @ 87.56/11.84 Y2 @ Y1))) => 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 setminus @ 87.56/11.84 Y0 @ Y1))))))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 setminus @ 87.56/11.84 Y0 @ Y1)) => 87.56/11.84 (in @ 87.56/11.84 Y2 @ Y0)))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 setminus @ 87.56/11.84 Y0 @ Y1)) => 87.56/11.84 (( 87.56/11.84 (~) @ ( 87.56/11.84 in @ 87.56/11.84 Y2 @ Y1)))))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (subset @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) => 87.56/11.84 (( 87.56/11.84 (setminus @ 87.56/11.84 Y0 @ 87.56/11.84 Y1) = 87.56/11.84 (emptyset))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (~) @ ( 87.56/11.84 in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 setminus @ 87.56/11.84 Y0 @ Y1)))) => 87.56/11.84 (( 87.56/11.84 (in @ 87.56/11.84 Y2 @ 87.56/11.84 Y0) => 87.56/11.84 (in @ 87.56/11.84 Y2 @ Y1)))))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (~) @ ( 87.56/11.84 in @ 87.56/11.84 Y2 @ 87.56/11.84 ( 87.56/11.84 setminus @ 87.56/11.84 Y0 @ Y1)))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (~) @ ( 87.56/11.84 in @ 87.56/11.84 Y2 @ Y1))) => 87.56/11.84 (( 87.56/11.84 (~) @ ( 87.56/11.84 in @ 87.56/11.84 Y2 @ Y0)))))))))))))))) => 87.56/11.84 (( 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y0 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y1 : $i]: 87.56/11.84 (( 87.56/11.84 (!!) @ ( 87.56/11.84 ^[Y2 : $i]: 87.56/11.84 (( 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ Y0))) => 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setminus @ 87.90/11.84 Y0 @ Y1))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y1) => 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setminus @ 87.90/11.84 Y0 @ Y1))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (subset @ 87.90/11.84 (setminus @ 87.90/11.84 Y0 @ Y1) @ 87.90/11.84 Y0))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (setminus @ 87.90/11.84 Y0 @ 87.90/11.84 Y1) = 87.90/11.84 (emptyset))) => 87.90/11.84 (subset @ 87.90/11.84 Y0 @ Y1))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 symdiff @ 87.90/11.84 Y0 @ Y1)) => 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y3 : $o]: 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ Y1))) => 87.90/11.84 (Y3))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ Y0))) => 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y1) => 87.90/11.84 (Y3))))) => 87.90/11.84 (Y3))))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ Y1))) => 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 symdiff @ 87.90/11.84 Y0 @ Y1))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ Y0))) => 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y1) => 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 symdiff @ 87.90/11.84 Y0 @ Y1))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y1) => 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 symdiff @ 87.90/11.84 Y0 @ Y1))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ Y0))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ Y1))) => 87.90/11.84 (( 87.90/11.84 (~) @ ( 87.90/11.84 in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 symdiff @ 87.90/11.84 Y0 @ Y1))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (in @ 87.90/11.84 Y1 @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (in @ 87.90/11.84 Y0 @ 87.90/11.84 (setunion @ 87.90/11.84 (setadjoin @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 (setadjoin @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (in @ 87.90/11.84 Y1 @ 87.90/11.84 (setunion @ 87.90/11.84 (setadjoin @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 (setadjoin @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 (setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (??) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setunion @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))) & 87.90/11.84 (( 87.90/11.84 (??) @ ( 87.90/11.84 ^[Y3 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y3 @ 87.90/11.84 ( 87.90/11.84 setunion @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))) & 87.90/11.84 (( 87.90/11.84 (setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)) = 87.90/11.84 (setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y3 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (??) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setunion @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))) & 87.90/11.84 (( 87.90/11.84 (??) @ ( 87.90/11.84 ^[Y3 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y3 @ 87.90/11.84 ( 87.90/11.84 setunion @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))) & 87.90/11.84 (( 87.90/11.84 (setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)) = 87.90/11.84 (setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y3 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)))))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y1 @ 87.90/11.84 Y0) => 87.90/11.84 (subset @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset) @ 87.90/11.84 Y0))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y1 @ 87.90/11.84 Y0) => 87.90/11.84 (in @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 powerset @ 87.90/11.84 Y0)))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (in @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 powerset @ 87.90/11.84 ( 87.90/11.84 binunion @ 87.90/11.84 Y0 @ Y1)))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y0 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y1 @ 87.90/11.84 emptyset))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (Y2) = 87.90/11.84 (Y1))) | 87.90/11.84 (( 87.90/11.84 (Y2) = 87.90/11.84 (Y0)))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y3 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y3 @ 87.90/11.84 Y1) => 87.90/11.84 (subset @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y3 @ 87.90/11.84 emptyset)) @ 87.90/11.84 ( 87.90/11.84 binunion @ 87.90/11.84 Y0 @ Y1)))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y3 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y3 @ 87.90/11.84 Y1) => 87.90/11.84 (in @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y3 @ 87.90/11.84 emptyset)) @ 87.90/11.84 ( 87.90/11.84 powerset @ 87.90/11.84 ( 87.90/11.84 binunion @ 87.90/11.84 Y0 @ Y1))))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y3 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y3 @ 87.90/11.84 Y1) => 87.90/11.84 (subset @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y3 @ 87.90/11.84 emptyset)) @ 87.90/11.84 emptyset)) @ 87.90/11.84 ( 87.90/11.84 powerset @ 87.90/11.84 ( 87.90/11.84 binunion @ 87.90/11.84 Y0 @ Y1))))))))))))))))))) => 87.90/11.84 (( 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y0 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y1 : $i]: 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y2 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y2 @ 87.90/11.84 Y0) => 87.90/11.84 (( 87.90/11.84 (!!) @ ( 87.90/11.84 ^[Y3 : $i]: 87.90/11.84 (( 87.90/11.84 (in @ 87.90/11.84 Y3 @ 87.90/11.84 Y1) => 87.90/11.84 (in @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 emptyset) @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y2 @ 87.90/11.84 ( 87.90/11.84 setadjoin @ 87.90/11.84 Y3 @ 87.90/11.85 emptyset)) @ 87.90/11.85 emptyset)) @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y0 @ Y1)))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y3 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y2 @ 87.90/11.85 emptyset) @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y3 @ 87.90/11.85 emptyset)) @ 87.90/11.85 emptyset)) @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y0 @ Y1)))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y3 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y2 @ 87.90/11.85 emptyset) @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y3 @ 87.90/11.85 emptyset)) @ 87.90/11.85 emptyset)) @ 87.90/11.85 ( 87.90/11.85 dsetconstr @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y0 @ Y1))) @ 87.90/11.85 ( 87.90/11.85 ^[Y4 : $i]: 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y5 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y5 @ 87.90/11.85 Y0) & 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y6 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y6 @ 87.90/11.85 Y1) & 87.90/11.85 (( 87.90/11.85 (Y4) = 87.90/11.85 (setadjoin @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y5 @ 87.90/11.85 emptyset) @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y5 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y6 @ 87.90/11.85 emptyset)) @ 87.90/11.85 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 87.90/11.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl185])). 87.90/11.85 thf(zip_derived_cl203, plain, 87.90/11.85 (~ (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((((Y0) != (emptyset))) => 87.90/11.85 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i > $o]: 87.90/11.85 (((!!) @ (^[Y2 : $i]: 87.90/11.85 (((in @ Y2 @ Y0) => 87.90/11.85 (((Y1 @ Y2) => 87.90/11.85 (((dsetconstr @ Y0 @ 87.90/11.85 Y1) != (emptyset)))))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 87.90/11.85 (((Y0) != (emptyset)))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 87.90/11.85 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((!!) @ (^[Y2 : $i]: 87.90/11.85 (((in @ Y2 @ Y1) => 87.90/11.85 (in @ Y2 @ 87.90/11.85 (setadjoin @ Y0 @ Y1))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((!!) @ (^[Y2 : $i]: 87.90/11.85 (((in @ Y2 @ 87.90/11.85 (setadjoin @ Y0 @ 87.90/11.85 Y1)) => 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y3 : $o]: 87.90/11.85 (((((( 87.90/11.85 (Y2) = 87.90/11.85 (Y0))) => 87.90/11.85 (Y3))) => 87.90/11.85 (((( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (Y3))) => 87.90/11.85 (Y3))))))))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((!!) @ (^[Y2 : $i]: 87.90/11.85 (((in @ Y2 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (((in @ Y2 @ 87.90/11.85 Y1) | 87.90/11.85 (((Y2) = (Y0)))))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((dsetconstr @ Y0 @ 87.90/11.85 (^[Y1 : $i]: ($true))) = (Y0)))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((((!!) @ (^[Y2 : $i]: 87.90/11.85 (((in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y0)))))) => 87.90/11.85 (in @ Y1 @ 87.90/11.85 (powerset @ Y0)))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (in @ emptyset @ (powerset @ Y0))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (in @ emptyset @ (powerset @ Y0))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((!!) @ (^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 Y0)) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y0)))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (((in @ Y1 @ 87.90/11.85 Y2) => 87.90/11.85 (((in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 (setunion @ 87.90/11.85 Y0))))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((in @ Y1 @ 87.90/11.85 (setunion @ Y0)) => 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y2 : $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 Y3) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y3 @ 87.90/11.85 Y0) => 87.90/11.85 (Y2)))))))) => 87.90/11.85 (Y2)))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (((in @ Y1 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ Y1 @ 87.90/11.85 (powerset @ 87.90/11.85 (setunion @ 87.90/11.85 Y0))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i > $o]: 87.90/11.85 (((((??) @ (^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2))))))))))))) => 87.90/11.85 (((??) @ (^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) <=> 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y1)))))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((((Y0) != (emptyset))) => 87.90/11.85 (((??) @ (^[Y1 : $i]: 87.90/11.85 (in @ 87.90/11.85 Y1 @ Y0))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ (^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y0 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset)) => 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (((((Y0) != 87.90/11.85 (Y1))) => 87.90/11.85 (((~) @ ( 87.90/11.85 in @ Y1 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 emptyset)))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (((( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (in @ 87.90/11.85 Y0 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset)))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y0 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset)) => 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 emptyset)))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y1))) | 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y0)))))))))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (in @ 87.90/11.85 Y0 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset))))))))) => 87.90/11.85 (((((!!) @ (^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset))))))))) => 87.90/11.85 (((((!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (Y1 @ Y2)))))) => 87.90/11.85 (( 87.90/11.85 (dsetconstr @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) != 87.90/11.85 (emptyset))))))))))) => 87.90/11.85 (((((!!) @ ( 87.90/11.85 ^[Y0 : $i > $o]: 87.90/11.85 (((!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset) => 87.90/11.85 (Y0 @ Y1))))))))) => 87.90/11.85 (((((!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 ( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (Y1 @ Y2)))))))) => 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 Y1 @ Y2)))))))))))))))) => 87.90/11.85 (((((!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 Y1 @ Y2)))))))) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 ( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (Y1 @ Y2)))))))))))))))) => 87.90/11.85 (((( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 ( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (Y1 @ Y2)))))))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 Y1 @ Y2)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 Y1 @ Y2)))))))) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 ( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (Y1 @ Y2)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $o]: 87.90/11.85 (( 87.90/11.85 (Y0) => 87.90/11.85 (in @ 87.90/11.85 emptyset @ 87.90/11.85 ( 87.90/11.85 prop2set @ 87.90/11.85 Y0))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $o]: 87.90/11.85 (( 87.90/11.85 (Y0) => 87.90/11.85 (set2prop @ 87.90/11.85 ( 87.90/11.85 prop2set @ 87.90/11.85 Y0))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 ( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (Y1 @ Y2)))))))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 Y1 @ Y2)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 ( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (Y1 @ Y2)))))))) => 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 Y1 @ Y2)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (Y0 @ Y1)))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2))))))))))))) => 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2)))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) <=> 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y1))))))))))) => 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2)))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y3 @ Y1))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) <=> 87.90/11.85 (in @ 87.90/11.85 Y3 @ Y1))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2))))))))))))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2)))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))) => 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) <=> 87.90/11.85 (Y1 @ Y3))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y3) => 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))))))))))))) <=> 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y1 @ 87.90/11.85 Y2) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (Y1 @ 87.90/11.85 Y3) => 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))))))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))) => 87.90/11.85 (( 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 Y2) = 87.90/11.85 (setadjoin @ 87.90/11.85 Y1 @ Y3))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (( 87.90/11.85 (powerset @ 87.90/11.85 Y0) = 87.90/11.85 (powerset @ 87.90/11.85 Y1))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (( 87.90/11.85 (setunion @ 87.90/11.85 Y0) = 87.90/11.85 (setunion @ 87.90/11.85 Y1))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2))))))))))))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (( 87.90/11.85 (Y1) = 87.90/11.85 (Y2)))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))) => 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) <=> 87.90/11.85 (Y1 @ Y3))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y2) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (Y0 @ 87.90/11.85 Y3) => 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (Y1 @ 87.90/11.85 Y2) & 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i]: 87.90/11.85 (( 87.90/11.85 (Y1 @ 87.90/11.85 Y3) => 87.90/11.85 (( 87.90/11.85 (Y2) = 87.90/11.85 (Y3))))))))))))) => 87.90/11.85 (( 87.90/11.85 (descr @ 87.90/11.85 Y0) = 87.90/11.85 (descr @ 87.90/11.85 Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $i > $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y4 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y4 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y5 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y5 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y4) = 87.90/11.85 (Y5))) => 87.90/11.85 (( 87.90/11.85 (Y2 @ 87.90/11.85 Y4) <=> 87.90/11.85 (Y3 @ Y5))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (dsetconstr @ 87.90/11.85 Y0 @ 87.90/11.85 Y2) = 87.90/11.85 (dsetconstr @ 87.90/11.85 Y1 @ Y3))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y1)))))) => 87.90/11.85 (subset @ 87.90/11.85 Y0 @ Y1))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (subset @ 87.90/11.85 Y1 @ Y0))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))) => 87.90/11.85 (subset @ 87.90/11.85 Y0 @ Y1))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y1)))))) => 87.90/11.85 (subset @ 87.90/11.85 Y0 @ Y1))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (subset @ 87.90/11.85 emptyset @ 87.90/11.85 Y0)))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y1)))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y0)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 subset @ 87.90/11.85 Y0 @ Y1)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 subset @ 87.90/11.85 Y0 @ Y1))) => 87.90/11.85 (( 87.90/11.85 (Y0) != 87.90/11.85 (Y1))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (( 87.90/11.85 (Y0) != 87.90/11.85 (Y1)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (subset @ 87.90/11.85 Y0 @ Y0)))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y1 @ 87.90/11.85 Y2) => 87.90/11.85 (subset @ 87.90/11.85 Y0 @ Y2)))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (subset @ 87.90/11.85 Y1 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ Y1)))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y2) => 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 ( 87.90/11.85 setadjoin @ 87.90/11.85 Y1 @ Y2))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 Y0 @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 Y1)))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y1 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (Y1))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 emptyset) => 87.90/11.85 (( 87.90/11.85 (Y0) = 87.90/11.85 (emptyset)))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y1 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 Y0)))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 Y0)) => 87.90/11.85 (subset @ 87.90/11.85 Y1 @ Y0))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (in @ 87.90/11.85 Y0 @ 87.90/11.85 (powerset @ 87.90/11.85 Y0))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (subset @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 Y0) @ 87.90/11.85 ( 87.90/11.85 powerset @ 87.90/11.85 Y1)))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (in @ 87.90/11.85 (dsetconstr @ 87.90/11.85 Y0 @ Y1) @ 87.90/11.85 (powerset @ 87.90/11.85 Y0)))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i > $o]: 87.90/11.85 (subset @ 87.90/11.85 (dsetconstr @ 87.90/11.85 Y0 @ Y1) @ 87.90/11.85 Y0))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y0 @ Y1))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y0 @ Y1))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $o]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (Y3))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (Y3))) => 87.90/11.85 (Y3))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) | 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y0)))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 (binunion @ 87.90/11.85 Y0 @ Y1)))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (subset @ 87.90/11.85 Y1 @ 87.90/11.85 (binunion @ 87.90/11.85 Y0 @ Y1)))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binintersect @ 87.90/11.85 Y0 @ Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (subset @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binintersect @ 87.90/11.85 Y0 @ Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binintersect @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y0)))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (subset @ 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ Y1) @ 87.90/11.85 Y0))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) = 87.90/11.85 (Y0))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) = 87.90/11.85 (Y1))) => 87.90/11.85 (subset @ 87.90/11.85 Y1 @ Y0))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 binintersect @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y1)))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 ( 87.90/11.85 (??) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) & 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y1)))))))) => 87.90/11.85 (( 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) = 87.90/11.85 (emptyset))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (subset @ 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ Y1) @ 87.90/11.85 Y1))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y1 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) = 87.90/11.85 (Y1))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) = 87.90/11.85 (Y0))) => 87.90/11.85 (subset @ 87.90/11.85 Y0 @ Y1))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (binintersect @ 87.90/11.85 Y0 @ 87.90/11.85 ( 87.90/11.85 binunion @ 87.90/11.85 Y1 @ Y2)) = 87.90/11.85 (binunion @ 87.90/11.85 ( 87.90/11.85 binintersect @ 87.90/11.85 Y0 @ Y1) @ 87.90/11.85 ( 87.90/11.85 binintersect @ 87.90/11.85 Y0 @ Y2))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setminus @ 87.90/11.85 Y0 @ Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setminus @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y0)))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setminus @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1)))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (subset @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (setminus @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) = 87.90/11.85 (emptyset))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setminus @ 87.90/11.85 Y0 @ Y1)))) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ Y1)))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setminus @ 87.90/11.85 Y0 @ Y1)))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y0)))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y0))) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setminus @ 87.90/11.85 Y0 @ Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 setminus @ 87.90/11.85 Y0 @ Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (subset @ 87.90/11.85 (setminus @ 87.90/11.85 Y0 @ Y1) @ 87.90/11.85 Y0))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (setminus @ 87.90/11.85 Y0 @ 87.90/11.85 Y1) = 87.90/11.85 (emptyset))) => 87.90/11.85 (subset @ 87.90/11.85 Y0 @ Y1))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 symdiff @ 87.90/11.85 Y0 @ Y1)) => 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y3 : $o]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (Y3))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y0))) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (Y3))))) => 87.90/11.85 (Y3))))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 symdiff @ 87.90/11.85 Y0 @ Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y0))) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 symdiff @ 87.90/11.85 Y0 @ Y1))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y0) => 87.90/11.85 (( 87.90/11.85 (in @ 87.90/11.85 Y2 @ 87.90/11.85 Y1) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 symdiff @ 87.90/11.85 Y0 @ Y1))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y2 : $i]: 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y0))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ Y1))) => 87.90/11.85 (( 87.90/11.85 (~) @ ( 87.90/11.85 in @ 87.90/11.85 Y2 @ 87.90/11.85 ( 87.90/11.85 symdiff @ 87.90/11.85 Y0 @ Y1))))))))))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (in @ 87.90/11.85 Y1 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y1 @ 87.90/11.85 emptyset))))))))) => 87.90/11.85 (( 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y0 : $i]: 87.90/11.85 (( 87.90/11.85 (!!) @ ( 87.90/11.85 ^[Y1 : $i]: 87.90/11.85 (in @ 87.90/11.85 Y0 @ 87.90/11.85 (setunion @ 87.90/11.85 (setadjoin @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 87.90/11.85 emptyset) @ 87.90/11.85 (setadjoin @ 87.90/11.85 (setadjoin @ 87.90/11.85 Y0 @ 88.01/11.85 (setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (in @ 88.01/11.85 Y1 @ 88.01/11.85 (setunion @ 88.01/11.85 (setadjoin @ 88.01/11.85 (setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 emptyset) @ 88.01/11.85 (setadjoin @ 88.01/11.85 (setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 (setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (??) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setunion @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))) & 88.01/11.85 (( 88.01/11.85 (??) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 ( 88.01/11.85 setunion @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))) & 88.01/11.85 (( 88.01/11.85 (setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)) = 88.01/11.85 (setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))))))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (??) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setunion @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))) & 88.01/11.85 (( 88.01/11.85 (??) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 ( 88.01/11.85 setunion @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))) & 88.01/11.85 (( 88.01/11.85 (setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)) = 88.01/11.85 (setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))))))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y1 @ 88.01/11.85 Y0) => 88.01/11.85 (subset @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset) @ 88.01/11.85 Y0))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y1 @ 88.01/11.85 Y0) => 88.01/11.85 (in @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 Y0)))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (in @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 binunion @ 88.01/11.85 Y0 @ Y1)))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y0 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y1 @ 88.01/11.85 emptyset))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (Y2) = 88.01/11.85 (Y1))) | 88.01/11.85 (( 88.01/11.85 (Y2) = 88.01/11.85 (Y0)))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 Y1) => 88.01/11.85 (subset @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 ( 88.01/11.85 binunion @ 88.01/11.85 Y0 @ Y1)))))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 Y1) => 88.01/11.85 (in @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 binunion @ 88.01/11.85 Y0 @ Y1))))))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 Y1) => 88.01/11.85 (subset @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)) @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 binunion @ 88.01/11.85 Y0 @ Y1))))))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 Y1) => 88.01/11.85 (in @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)) @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 binunion @ 88.01/11.85 Y0 @ Y1)))))))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 Y1) => 88.01/11.85 (in @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)) @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 binunion @ 88.01/11.85 Y0 @ Y1)))))))))))))))))))) => 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y0 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y1 : $i]: 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 Y1) => 88.01/11.85 (in @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y2 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y3 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)) @ 88.01/11.85 ( 88.01/11.85 dsetconstr @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 ( 88.01/11.85 binunion @ 88.01/11.85 Y0 @ Y1))) @ 88.01/11.85 ( 88.01/11.85 ^[Y4 : $i]: 88.01/11.85 (( 88.01/11.85 (??) @ ( 88.01/11.85 ^[Y5 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y5 @ 88.01/11.85 Y0) & 88.01/11.85 (( 88.01/11.85 (??) @ ( 88.01/11.85 ^[Y6 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y6 @ 88.01/11.85 Y1) & 88.01/11.85 (( 88.01/11.85 (Y4) = 88.01/11.85 (setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y5 @ 88.01/11.85 emptyset) @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y5 @ 88.01/11.85 ( 88.01/11.85 setadjoin @ 88.01/11.85 Y6 @ 88.01/11.85 emptyset)) @ 88.01/11.85 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.85 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl195])). 88.01/11.85 thf(zip_derived_cl213, plain, 88.01/11.85 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.85 (((!!) @ (^[Y2 : $i]: 88.01/11.85 (((in @ Y2 @ Y0) => 88.01/11.85 (((Y1 @ Y2) => 88.01/11.85 (((dsetconstr @ Y0 @ Y1) != 88.01/11.85 (emptyset)))))))))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 88.01/11.85 (((Y0) != (emptyset)))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 88.01/11.85 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((!!) @ (^[Y2 : $i]: 88.01/11.85 (((in @ Y2 @ Y1) => 88.01/11.85 (in @ Y2 @ 88.01/11.85 (setadjoin @ Y0 @ Y1))))))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((!!) @ (^[Y2 : $i]: 88.01/11.85 (((in @ Y2 @ 88.01/11.85 (setadjoin @ Y0 @ Y1)) => 88.01/11.85 (((!!) @ (^[Y3 : $o]: 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (Y2) = 88.01/11.85 (Y0))) => 88.01/11.85 (Y3))) => 88.01/11.85 (( 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y1) => 88.01/11.85 (Y3))) => 88.01/11.85 (Y3))))))))))))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((!!) @ (^[Y2 : $i]: 88.01/11.85 (((in @ Y2 @ 88.01/11.85 (setadjoin @ Y0 @ 88.01/11.85 Y1)) => 88.01/11.85 (((in @ Y2 @ Y1) | 88.01/11.85 (((Y2) = (Y0)))))))))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((dsetconstr @ Y0 @ 88.01/11.85 (^[Y1 : $i]: ($true))) = (Y0)))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((((!!) @ (^[Y2 : $i]: 88.01/11.85 (((in @ Y2 @ 88.01/11.85 Y1) => 88.01/11.85 (in @ Y2 @ 88.01/11.85 Y0)))))) => 88.01/11.85 (in @ Y1 @ 88.01/11.85 (powerset @ Y0)))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((!!) @ (^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y1 @ 88.01/11.85 ( 88.01/11.85 powerset @ 88.01/11.85 Y0)) => 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y1) => 88.01/11.85 (in @ 88.01/11.85 Y2 @ Y0)))))))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((!!) @ (^[Y2 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y1 @ 88.01/11.85 Y2) => 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y2 @ 88.01/11.85 Y0) => 88.01/11.85 (in @ 88.01/11.85 Y1 @ 88.01/11.85 ( 88.01/11.85 setunion @ 88.01/11.85 Y0))))))))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((in @ Y1 @ 88.01/11.85 (setunion @ Y0)) => 88.01/11.85 (((!!) @ ( 88.01/11.85 ^[Y2 : $o]: 88.01/11.85 (((( 88.01/11.85 (!!) @ ( 88.01/11.85 ^[Y3 : $i]: 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y1 @ 88.01/11.85 Y3) => 88.01/11.85 (( 88.01/11.85 (in @ 88.01/11.85 Y3 @ 88.01/11.85 Y0) => 88.01/11.85 (Y2)))))))) => 88.01/11.85 (Y2)))))))))))))) => 88.01/11.85 (((((!!) @ (^[Y0 : $i]: 88.01/11.85 (((!!) @ (^[Y1 : $i]: 88.01/11.85 (((in @ Y1 @ 88.01/11.85 Y0) => (in @ 88.01/11.86 Y1 @ 88.01/11.86 (powerset @ 88.01/11.86 (setunion @ 88.01/11.86 Y0))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.86 (((((??) @ (^[Y1 : $i]: 88.01/11.86 (((Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (((??) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((((Y0) != (emptyset))) => 88.01/11.86 (((??) @ (^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ Y0))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) => 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) != 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset)))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (((((Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (in @ Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (((in @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) => 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))) | 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y0)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))) => 88.01/11.86 (( 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) != 88.01/11.86 (emptyset))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset) => 88.01/11.86 (Y0 @ Y1))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $o]: 88.01/11.86 (( 88.01/11.86 (Y0) => 88.01/11.86 (in @ 88.01/11.86 emptyset @ 88.01/11.86 ( 88.01/11.86 prop2set @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $o]: 88.01/11.86 (( 88.01/11.86 (Y0) => 88.01/11.86 (set2prop @ 88.01/11.86 ( 88.01/11.86 prop2set @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (Y0 @ Y1)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y3 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) <=> 88.01/11.86 (in @ 88.01/11.86 Y3 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (Y1 @ Y3))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))) <=> 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 Y2) = 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (powerset @ 88.01/11.86 Y0) = 88.01/11.86 (powerset @ 88.01/11.86 Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (setunion @ 88.01/11.86 Y0) = 88.01/11.86 (setunion @ 88.01/11.86 Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (Y1 @ Y3))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))) => 88.01/11.86 (( 88.01/11.86 (descr @ 88.01/11.86 Y0) = 88.01/11.86 (descr @ 88.01/11.86 Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y4 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y4 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y5 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y5 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y4) = 88.01/11.86 (Y5))) => 88.01/11.86 (( 88.01/11.86 (Y2 @ 88.01/11.86 Y4) <=> 88.01/11.86 (Y3 @ Y5))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ 88.01/11.86 Y2) = 88.01/11.86 (dsetconstr @ 88.01/11.86 Y1 @ Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (subset @ 88.01/11.86 Y1 @ Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (subset @ 88.01/11.86 emptyset @ 88.01/11.86 Y0)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 subset @ 88.01/11.86 Y0 @ Y1)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 subset @ 88.01/11.86 Y0 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (Y0) != 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (Y0) != 88.01/11.86 (Y1)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y0)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y2) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y2)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y1)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) => 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (emptyset)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0)) => 88.01/11.86 (subset @ 88.01/11.86 Y1 @ Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 (powerset @ 88.01/11.86 Y0))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y1)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (in @ 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 (powerset @ 88.01/11.86 Y0)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (subset @ 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $o]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (Y3))) => 88.01/11.86 (Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) | 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 (binunion @ 88.01/11.86 Y0 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 (binunion @ 88.01/11.86 Y0 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y0))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y1))) => 88.01/11.86 (subset @ 88.01/11.86 Y1 @ Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (emptyset))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y1))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y0))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y1 @ Y2)) = 88.01/11.86 (binunion @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (setminus @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (emptyset))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 (setminus @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (setminus @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (emptyset))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (Y3))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (Y3))))) => 88.01/11.86 (Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 (setunion @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setunion @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) = 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) = 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset) @ 88.01/11.86 Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))) | 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y0)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 dsetconstr @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))) @ 88.01/11.86 ( 88.01/11.86 ^[Y4 : $i]: 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y5 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y5 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y6 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y6 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (Y4) = 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y5 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y5 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y6 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl203])). 88.01/11.86 thf(zip_derived_cl225, plain, 88.01/11.86 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0)))) => 88.01/11.86 (((Y0) != (emptyset)))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 88.01/11.86 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ Y1) => (in @ 88.01/11.86 Y2 @ 88.01/11.86 (setadjoin @ Y0 @ Y1))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ 88.01/11.86 (setadjoin @ Y0 @ Y1)) => 88.01/11.86 (((!!) @ (^[Y3 : $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y0))) => 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (Y3))) => 88.01/11.86 (Y3))))))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ 88.01/11.86 (setadjoin @ Y0 @ Y1)) => 88.01/11.86 (((in @ Y2 @ Y1) | 88.01/11.86 (((Y2) = (Y0)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((dsetconstr @ Y0 @ 88.01/11.86 (^[Y1 : $i]: ($true))) = (Y0)))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ 88.01/11.86 Y1) => (in @ 88.01/11.86 Y2 @ Y0)))))) => 88.01/11.86 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ 88.01/11.86 Y1 @ 88.01/11.86 (powerset @ 88.01/11.86 Y0)) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 Y0))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((in @ Y1 @ 88.01/11.86 (setunion @ Y0)) => 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $o]: 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y0) => 88.01/11.86 (Y2)))))))) => 88.01/11.86 (Y2)))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((in @ Y1 @ 88.01/11.86 Y0) => (in @ 88.01/11.86 Y1 @ 88.01/11.86 (powerset @ 88.01/11.86 (setunion @ Y0))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.86 (((((??) @ (^[Y1 : $i]: 88.01/11.86 (((Y0 @ Y1) & 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (((??) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((((Y0) != (emptyset))) => 88.01/11.86 (((??) @ (^[Y1 : $i]: 88.01/11.86 (in @ Y1 @ 88.01/11.86 Y0))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((in @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) => 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) != 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset)))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (((in @ Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) => 88.01/11.86 (in @ Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))) | 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y0)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))) => 88.01/11.86 (( 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) != 88.01/11.86 (emptyset))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset) => 88.01/11.86 (Y0 @ Y1))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $o]: 88.01/11.86 (( 88.01/11.86 (Y0) => 88.01/11.86 (in @ 88.01/11.86 emptyset @ 88.01/11.86 ( 88.01/11.86 prop2set @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $o]: 88.01/11.86 (( 88.01/11.86 (Y0) => 88.01/11.86 (set2prop @ 88.01/11.86 ( 88.01/11.86 prop2set @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (Y0 @ Y1)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y3 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) <=> 88.01/11.86 (in @ 88.01/11.86 Y3 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (Y1 @ Y3))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))) <=> 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 Y2) = 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (powerset @ 88.01/11.86 Y0) = 88.01/11.86 (powerset @ 88.01/11.86 Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (setunion @ 88.01/11.86 Y0) = 88.01/11.86 (setunion @ 88.01/11.86 Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (Y1 @ Y3))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))) => 88.01/11.86 (( 88.01/11.86 (descr @ 88.01/11.86 Y0) = 88.01/11.86 (descr @ 88.01/11.86 Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y4 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y4 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y5 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y5 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y4) = 88.01/11.86 (Y5))) => 88.01/11.86 (( 88.01/11.86 (Y2 @ 88.01/11.86 Y4) <=> 88.01/11.86 (Y3 @ Y5))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ 88.01/11.86 Y2) = 88.01/11.86 (dsetconstr @ 88.01/11.86 Y1 @ Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (subset @ 88.01/11.86 Y1 @ Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (subset @ 88.01/11.86 emptyset @ 88.01/11.86 Y0)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 subset @ 88.01/11.86 Y0 @ Y1)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 subset @ 88.01/11.86 Y0 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (Y0) != 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (Y0) != 88.01/11.86 (Y1)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y0)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y2) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y2)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y1)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) => 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (emptyset)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0)) => 88.01/11.86 (subset @ 88.01/11.86 Y1 @ Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 (powerset @ 88.01/11.86 Y0))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y1)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (in @ 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 (powerset @ 88.01/11.86 Y0)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (subset @ 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $o]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (Y3))) => 88.01/11.86 (Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) | 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 (binunion @ 88.01/11.86 Y0 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 (binunion @ 88.01/11.86 Y0 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y0))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y1))) => 88.01/11.86 (subset @ 88.01/11.86 Y1 @ Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))) => 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (emptyset))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y1))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (Y0))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (binintersect @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y1 @ Y2)) = 88.01/11.86 (binunion @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 ( 88.01/11.86 binintersect @ 88.01/11.86 Y0 @ Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (subset @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (setminus @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (emptyset))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setminus @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (subset @ 88.01/11.86 (setminus @ 88.01/11.86 Y0 @ Y1) @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (setminus @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) = 88.01/11.86 (emptyset))) => 88.01/11.86 (subset @ 88.01/11.86 Y0 @ Y1))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1)) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (Y3))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (Y3))))) => 88.01/11.86 (Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y0))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 symdiff @ 88.01/11.86 Y0 @ Y1))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 (setunion @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setunion @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 (setadjoin @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) = 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 ( 88.01/11.86 setunion @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))) & 88.01/11.86 (( 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) = 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset) @ 88.01/11.86 Y0))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 Y0)))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))) | 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y0)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (subset @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y3 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)) @ 88.01/11.86 ( 88.01/11.86 dsetconstr @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 powerset @ 88.01/11.86 ( 88.01/11.86 binunion @ 88.01/11.86 Y0 @ Y1))) @ 88.01/11.86 ( 88.01/11.86 ^[Y4 : $i]: 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y5 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y5 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y6 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y6 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (Y4) = 88.01/11.86 (setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y5 @ 88.01/11.86 emptyset) @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y5 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y6 @ 88.01/11.86 emptyset)) @ 88.01/11.86 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.86 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl213])). 88.01/11.86 thf(zip_derived_cl236, plain, 88.01/11.86 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: (in @ Y0 @ (setadjoin @ Y0 @ Y1)))))))) => 88.01/11.86 (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ Y1) => (in @ 88.01/11.86 Y2 @ 88.01/11.86 (setadjoin @ Y0 @ Y1))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ 88.01/11.86 (setadjoin @ Y0 @ Y1)) => 88.01/11.86 (((!!) @ (^[Y3 : $o]: 88.01/11.86 (((( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y0))) => 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (Y3))) => 88.01/11.86 (Y3))))))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ 88.01/11.86 (setadjoin @ Y0 @ Y1)) => 88.01/11.86 (((in @ Y2 @ Y1) | 88.01/11.86 (((Y2) = (Y0)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = 88.01/11.86 (Y0)))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y2 @ 88.01/11.86 Y1) => (in @ 88.01/11.86 Y2 @ Y0)))))) => 88.01/11.86 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ Y1 @ 88.01/11.86 (powerset @ 88.01/11.86 Y0)) => 88.01/11.86 (((in @ 88.01/11.86 Y2 @ 88.01/11.86 Y1) => 88.01/11.86 (in @ 88.01/11.86 Y2 @ Y0)))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ (^[Y2 : $i]: 88.01/11.86 (((in @ 88.01/11.86 Y1 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 (setunion @ 88.01/11.86 Y0))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((in @ Y1 @ 88.01/11.86 (setunion @ Y0)) => 88.01/11.86 (((!!) @ (^[Y2 : $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y3 @ 88.01/11.86 Y0) => 88.01/11.86 (Y2)))))))) => 88.01/11.86 (Y2)))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((in @ Y1 @ Y0) => 88.01/11.86 (in @ Y1 @ 88.01/11.86 (powerset @ 88.01/11.86 (setunion @ Y0))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.86 (((((??) @ (^[Y1 : $i]: 88.01/11.86 (((Y0 @ Y1) & 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (((??) @ (^[Y1 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (((Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((((Y0) != (emptyset))) => 88.01/11.86 (((??) @ (^[Y1 : $i]: 88.01/11.86 (in @ Y1 @ Y0))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((in @ Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) => 88.01/11.86 (((Y0) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (((( 88.01/11.86 (Y0) != 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 in @ Y1 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset)))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ (^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset)) => 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 emptyset)))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))) | 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y0)))))))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 ( 88.01/11.86 setadjoin @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))) => 88.01/11.86 (( 88.01/11.86 (dsetconstr @ 88.01/11.86 Y0 @ 88.01/11.86 Y1) != 88.01/11.86 (emptyset))))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y1 @ 88.01/11.86 emptyset) => 88.01/11.86 (Y0 @ Y1))))))))) => 88.01/11.86 (((((!!) @ (^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (((!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))))))))))) => 88.01/11.86 (((((!!) @ ( 88.01/11.86 ^[Y0 : $o]: 88.01/11.86 (( 88.01/11.86 (Y0) => 88.01/11.86 (in @ 88.01/11.86 emptyset @ 88.01/11.86 ( 88.01/11.86 prop2set @ 88.01/11.86 Y0))))))) => 88.01/11.86 (((( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $o]: 88.01/11.86 (( 88.01/11.86 (Y0) => 88.01/11.86 (set2prop @ 88.01/11.86 ( 88.01/11.86 prop2set @ 88.01/11.86 Y0))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 ( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (Y1 @ Y2)))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) & 88.01/11.86 (( 88.01/11.86 (~) @ ( 88.01/11.86 Y1 @ Y2)))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (Y0 @ Y1)))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) => 88.01/11.86 (in @ 88.01/11.86 Y3 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (in @ 88.01/11.86 Y2 @ 88.01/11.86 Y0) <=> 88.01/11.86 (in @ 88.01/11.86 Y3 @ Y1))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2))))))))))))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y1) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) => 88.01/11.86 (( 88.01/11.86 (Y1) = 88.01/11.86 (Y2)))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i > $o]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) <=> 88.01/11.86 (Y1 @ Y3))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y0 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))) <=> 88.01/11.86 (( 88.01/11.86 (??) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y2) & 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (Y1 @ 88.01/11.86 Y3) => 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))))))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y2 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y3 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y2) = 88.01/11.86 (Y3))) => 88.01/11.86 (( 88.01/11.86 (setadjoin @ 88.01/11.86 Y0 @ 88.01/11.86 Y2) = 88.01/11.86 (setadjoin @ 88.01/11.86 Y1 @ Y3))))))))))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y1 : $i]: 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (Y0) = 88.01/11.86 (Y1))) => 88.01/11.86 (( 88.01/11.86 (powerset @ 88.01/11.86 Y0) = 88.01/11.86 (powerset @ 88.01/11.86 Y1))))))))))) => 88.01/11.86 (( 88.01/11.86 (( 88.01/11.86 (!!) @ ( 88.01/11.86 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (setunion @ 88.01/11.87 Y0) = 88.01/11.87 (setunion @ 88.01/11.87 Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (Y1 @ Y3))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) => 88.01/11.87 (( 88.01/11.87 (descr @ 88.01/11.87 Y0) = 88.01/11.87 (descr @ 88.01/11.87 Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y4 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y4 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y5 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y5 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y4) = 88.01/11.87 (Y5))) => 88.01/11.87 (( 88.01/11.87 (Y2 @ 88.01/11.87 Y4) <=> 88.01/11.87 (Y3 @ Y5))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) = 88.01/11.87 (dsetconstr @ 88.01/11.87 Y1 @ Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (subset @ 88.01/11.87 emptyset @ 88.01/11.87 Y0)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 subset @ 88.01/11.87 Y0 @ Y1)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 subset @ 88.01/11.87 Y0 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (Y0) != 88.01/11.87 (Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (Y0) != 88.01/11.87 (Y1)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y0)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y2) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y2)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y1)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) => 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (emptyset)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 (powerset @ 88.01/11.87 Y0))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y1)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (in @ 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 (powerset @ 88.01/11.87 Y0)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (subset @ 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y0))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $o]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (Y3))) => 88.01/11.87 (Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) | 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y0)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 (binunion @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 (binunion @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y0)))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y0))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y0))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (emptyset))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y1))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y0))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y1 @ Y2)) = 88.01/11.87 (binunion @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y0)))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (setminus @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (emptyset))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 (setminus @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y0))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (setminus @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (emptyset))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (Y3))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (Y3))))) => 88.01/11.87 (Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 (setunion @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setunion @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) = 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) = 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset) @ 88.01/11.87 Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y1))) | 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y0)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 dsetconstr @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))) @ 88.01/11.87 ( 88.01/11.87 ^[Y4 : $i]: 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y5 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y5 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y6 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y6 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (Y4) = 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y5 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y5 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y6 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.87 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl225])). 88.01/11.87 thf(zip_derived_cl243, plain, 88.01/11.87 (~ (((in @ emptyset @ (setadjoin @ emptyset @ emptyset)) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ Y1) => (in @ 88.01/11.87 Y2 @ (setadjoin @ Y0 @ Y1))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ 88.01/11.87 (setadjoin @ Y0 @ Y1)) => 88.01/11.87 (((!!) @ (^[Y3 : $o]: 88.01/11.87 (((((( 88.01/11.87 (Y2) = 88.01/11.87 (Y0))) => 88.01/11.87 (Y3))) => 88.01/11.87 (((( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (Y3))) => 88.01/11.87 (Y3))))))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ 88.01/11.87 (setadjoin @ Y0 @ Y1)) => 88.01/11.87 (((in @ Y2 @ Y1) | 88.01/11.87 (((Y2) = (Y0)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = 88.01/11.87 (Y0)))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ Y1) => 88.01/11.87 (in @ Y2 @ Y0)))))) => 88.01/11.87 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y1 @ 88.01/11.87 (powerset @ Y0)) => 88.01/11.87 (((in @ Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ Y2 @ 88.01/11.87 Y0)))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y1 @ 88.01/11.87 Y2) => 88.01/11.87 (((in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setunion @ 88.01/11.87 Y0))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((in @ Y1 @ 88.01/11.87 (setunion @ Y0)) => 88.01/11.87 (((!!) @ (^[Y2 : $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y0) => 88.01/11.87 (Y2)))))))) => 88.01/11.87 (Y2)))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((in @ Y1 @ Y0) => 88.01/11.87 (in @ Y1 @ 88.01/11.87 (powerset @ 88.01/11.87 (setunion @ Y0))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.87 (((((??) @ (^[Y1 : $i]: 88.01/11.87 (((Y0 @ Y1) & 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (((Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (((??) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (((Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (((Y2) = 88.01/11.87 (Y1)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((((Y0) != (emptyset))) => 88.01/11.87 (((??) @ (^[Y1 : $i]: 88.01/11.87 (in @ Y1 @ Y0))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((in @ Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ emptyset)) => 88.01/11.87 (((Y0) = (Y1))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((((Y0) != 88.01/11.87 (Y1))) => 88.01/11.87 (((~) @ ( 88.01/11.87 in @ Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset)))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) => 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y1))) | 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y0)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))) => 88.01/11.87 (( 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) != 88.01/11.87 (emptyset))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset) => 88.01/11.87 (Y0 @ Y1))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $o]: 88.01/11.87 (( 88.01/11.87 (Y0) => 88.01/11.87 (in @ 88.01/11.87 emptyset @ 88.01/11.87 ( 88.01/11.87 prop2set @ 88.01/11.87 Y0))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $o]: 88.01/11.87 (( 88.01/11.87 (Y0) => 88.01/11.87 (set2prop @ 88.01/11.87 ( 88.01/11.87 prop2set @ 88.01/11.87 Y0))))))) => 88.01/11.87 (((( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (Y0 @ Y1)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y3 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) <=> 88.01/11.87 (in @ 88.01/11.87 Y3 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (Y1 @ Y3))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) <=> 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) = 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (powerset @ 88.01/11.87 Y0) = 88.01/11.87 (powerset @ 88.01/11.87 Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (setunion @ 88.01/11.87 Y0) = 88.01/11.87 (setunion @ 88.01/11.87 Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (Y1 @ Y3))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) => 88.01/11.87 (( 88.01/11.87 (descr @ 88.01/11.87 Y0) = 88.01/11.87 (descr @ 88.01/11.87 Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y4 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y4 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y5 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y5 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y4) = 88.01/11.87 (Y5))) => 88.01/11.87 (( 88.01/11.87 (Y2 @ 88.01/11.87 Y4) <=> 88.01/11.87 (Y3 @ Y5))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) = 88.01/11.87 (dsetconstr @ 88.01/11.87 Y1 @ Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (subset @ 88.01/11.87 emptyset @ 88.01/11.87 Y0)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 subset @ 88.01/11.87 Y0 @ Y1)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 subset @ 88.01/11.87 Y0 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (Y0) != 88.01/11.87 (Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (Y0) != 88.01/11.87 (Y1)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y0)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y2) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y2)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y1)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) => 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (emptyset)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 (powerset @ 88.01/11.87 Y0))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y1)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (in @ 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 (powerset @ 88.01/11.87 Y0)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (subset @ 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y0))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $o]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (Y3))) => 88.01/11.87 (Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) | 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y0)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 (binunion @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 (binunion @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y0)))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y0))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y0))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (emptyset))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y1))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (Y0))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (binintersect @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y1 @ Y2)) = 88.01/11.87 (binunion @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y0)))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (setminus @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (emptyset))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setminus @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 (setminus @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y0))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (setminus @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) = 88.01/11.87 (emptyset))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (Y3))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (Y3))))) => 88.01/11.87 (Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 symdiff @ 88.01/11.87 Y0 @ Y1))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 (setunion @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setunion @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 (setadjoin @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) = 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 ( 88.01/11.87 setunion @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))) & 88.01/11.87 (( 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) = 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset) @ 88.01/11.87 Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y1))) | 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y0)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y3 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)) @ 88.01/11.87 ( 88.01/11.87 dsetconstr @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))) @ 88.01/11.87 ( 88.01/11.87 ^[Y4 : $i]: 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y5 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y5 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y6 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y6 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (Y4) = 88.01/11.87 (setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y5 @ 88.01/11.87 emptyset) @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y5 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y6 @ 88.01/11.87 emptyset)) @ 88.01/11.87 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.87 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl236])). 88.01/11.87 thf(zip_derived_cl249, plain, 88.01/11.87 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ Y1) => (in @ Y2 @ 88.01/11.87 (setadjoin @ Y0 @ Y1))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ 88.01/11.87 (setadjoin @ Y0 @ Y1)) => 88.01/11.87 (((!!) @ (^[Y3 : $o]: 88.01/11.87 (((((((Y2) = 88.01/11.87 (Y0))) => 88.01/11.87 (Y3))) => 88.01/11.87 (((((in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (Y3))) => 88.01/11.87 (Y3))))))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ 88.01/11.87 (setadjoin @ Y0 @ Y1)) => 88.01/11.87 (((in @ Y2 @ Y1) | 88.01/11.87 (((Y2) = (Y0)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = (Y0)))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y2 @ Y1) => 88.01/11.87 (in @ Y2 @ Y0)))))) => 88.01/11.87 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y1 @ 88.01/11.87 (powerset @ Y0)) => 88.01/11.87 (((in @ Y2 @ 88.01/11.87 Y1) => (in @ 88.01/11.87 Y2 @ Y0)))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (((in @ Y1 @ 88.01/11.87 Y2) => 88.01/11.87 (((in @ Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ Y1 @ 88.01/11.87 (setunion @ 88.01/11.87 Y0))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((in @ Y1 @ 88.01/11.87 (setunion @ Y0)) => 88.01/11.87 (((!!) @ (^[Y2 : $o]: 88.01/11.87 (((( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y3 @ 88.01/11.87 Y0) => 88.01/11.87 (Y2)))))))) => 88.01/11.87 (Y2)))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((in @ Y1 @ Y0) => 88.01/11.87 (in @ Y1 @ 88.01/11.87 (powerset @ 88.01/11.87 (setunion @ Y0))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.87 (((((??) @ (^[Y1 : $i]: 88.01/11.87 (((Y0 @ Y1) & 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (((Y0 @ Y2) => 88.01/11.87 (((Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (((??) @ (^[Y1 : $i]: 88.01/11.87 (((!!) @ (^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y1)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((((Y0) != (emptyset))) => 88.01/11.87 (((??) @ (^[Y1 : $i]: 88.01/11.87 (in @ Y1 @ Y0))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((in @ Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ emptyset)) => 88.01/11.87 (((Y0) = (Y1))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((((Y0) != (Y1))) => 88.01/11.87 (((~) @ ( 88.01/11.87 in @ Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset)))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((((Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (in @ Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (((in @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset)) => 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset)))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y1))) | 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y0)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ (^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (((( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))) => 88.01/11.87 (( 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) != 88.01/11.87 (emptyset))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset) => 88.01/11.87 (Y0 @ Y1))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ (^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (((!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $o]: 88.01/11.87 (((Y0) => 88.01/11.87 (in @ 88.01/11.87 emptyset @ 88.01/11.87 (prop2set @ 88.01/11.87 Y0))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $o]: 88.01/11.87 (( 88.01/11.87 (Y0) => 88.01/11.87 (set2prop @ 88.01/11.87 ( 88.01/11.87 prop2set @ 88.01/11.87 Y0))))))) => 88.01/11.87 (((((!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (((( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 ( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y1 @ Y2)))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) & 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 Y1 @ Y2)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (Y0 @ Y1)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y3 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) <=> 88.01/11.87 (in @ 88.01/11.87 Y3 @ Y1))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (Y1 @ Y3))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) <=> 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) = 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (powerset @ 88.01/11.87 Y0) = 88.01/11.87 (powerset @ 88.01/11.87 Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (setunion @ 88.01/11.87 Y0) = 88.01/11.87 (setunion @ 88.01/11.87 Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (( 88.01/11.87 (Y1) = 88.01/11.87 (Y2)))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) <=> 88.01/11.87 (Y1 @ Y3))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y0 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (??) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y2) & 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i]: 88.01/11.87 (( 88.01/11.87 (Y1 @ 88.01/11.87 Y3) => 88.01/11.87 (( 88.01/11.87 (Y2) = 88.01/11.87 (Y3))))))))))))) => 88.01/11.87 (( 88.01/11.87 (descr @ 88.01/11.87 Y0) = 88.01/11.87 (descr @ 88.01/11.87 Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $i > $o]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y4 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y4 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y5 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y5 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y4) = 88.01/11.87 (Y5))) => 88.01/11.87 (( 88.01/11.87 (Y2 @ 88.01/11.87 Y4) <=> 88.01/11.87 (Y3 @ Y5))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) = 88.01/11.87 (dsetconstr @ 88.01/11.87 Y1 @ Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y1))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (subset @ 88.01/11.87 emptyset @ 88.01/11.87 Y0)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y1)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y0)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 subset @ 88.01/11.87 Y0 @ Y1)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 subset @ 88.01/11.87 Y0 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (Y0) != 88.01/11.87 (Y1))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (~) @ ( 88.01/11.87 in @ 88.01/11.87 Y2 @ Y1))) => 88.01/11.87 (( 88.01/11.87 (Y0) != 88.01/11.87 (Y1)))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y0)))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y2) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ Y2)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y2) => 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 setadjoin @ 88.01/11.87 Y1 @ Y2))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y1)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 emptyset) => 88.01/11.87 (( 88.01/11.87 (Y0) = 88.01/11.87 (emptyset)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0)) => 88.01/11.87 (subset @ 88.01/11.87 Y1 @ Y0))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y0 @ 88.01/11.87 (powerset @ 88.01/11.87 Y0))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y0) @ 88.01/11.87 ( 88.01/11.87 powerset @ 88.01/11.87 Y1)))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (in @ 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 (powerset @ 88.01/11.87 Y0)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i > $o]: 88.01/11.87 (subset @ 88.01/11.87 (dsetconstr @ 88.01/11.87 Y0 @ Y1) @ 88.01/11.87 Y0))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (in @ 88.01/11.87 Y1 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y0 @ 88.01/11.87 (setadjoin @ 88.01/11.87 Y1 @ 88.01/11.87 emptyset))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y3 : $o]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (Y3))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (Y3))) => 88.01/11.87 (Y3))))))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binunion @ 88.01/11.87 Y0 @ Y1)) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) | 88.01/11.87 (in @ 88.01/11.87 Y2 @ Y0)))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y0 @ 88.01/11.87 (binunion @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (subset @ 88.01/11.87 Y1 @ 88.01/11.87 (binunion @ 88.01/11.87 Y0 @ Y1)))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (in @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y0 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y1 : $i]: 88.01/11.87 (( 88.01/11.87 (!!) @ ( 88.01/11.87 ^[Y2 : $i]: 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 Y0) => 88.01/11.87 (( 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 Y1) => 88.01/11.87 (subset @ 88.01/11.87 Y2 @ 88.01/11.87 ( 88.01/11.87 binintersect @ 88.01/11.87 Y0 @ Y1))))))))))))))) => 88.01/11.87 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y0))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y1))) => 88.01/11.88 (subset @ 88.01/11.88 Y1 @ Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y1))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y0))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y1 @ Y2)) = 88.01/11.88 (binunion @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (Y3))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (Y3))))) => 88.01/11.88 (Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 (setunion @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setunion @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) = 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) = 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset) @ 88.01/11.88 Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1))) | 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y0)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 dsetconstr @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))) @ 88.01/11.88 ( 88.01/11.88 ^[Y4 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y5 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y5 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y6 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y6 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (Y4) = 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y5 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y5 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y6 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl243])). 88.01/11.88 thf(zip_derived_cl256, plain, 88.01/11.88 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y2 @ 88.01/11.88 (setadjoin @ Y0 @ Y1)) => 88.01/11.88 (((!!) @ (^[Y3 : $o]: 88.01/11.88 (((((((Y2) = (Y0))) => 88.01/11.88 (Y3))) => 88.01/11.88 (((((in @ Y2 @ 88.01/11.88 Y1) => (Y3))) => 88.01/11.88 (Y3))))))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y2 @ 88.01/11.88 (setadjoin @ Y0 @ Y1)) => 88.01/11.88 (((in @ Y2 @ Y1) | 88.01/11.88 (((Y2) = (Y0)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = (Y0)))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y2 @ Y1) => 88.01/11.88 (in @ Y2 @ Y0)))))) => 88.01/11.88 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y1 @ 88.01/11.88 (powerset @ Y0)) => 88.01/11.88 (((in @ Y2 @ 88.01/11.88 Y1) => (in @ 88.01/11.88 Y2 @ Y0)))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y1 @ 88.01/11.88 Y2) => 88.01/11.88 (((in @ Y2 @ 88.01/11.88 Y0) => (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setunion @ Y0))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y1 @ 88.01/11.88 (setunion @ Y0)) => 88.01/11.88 (((!!) @ (^[Y2 : $o]: 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y0) => 88.01/11.88 (Y2)))))))) => 88.01/11.88 (Y2)))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y1 @ Y0) => (in @ 88.01/11.88 Y1 @ 88.01/11.88 (powerset @ 88.01/11.88 (setunion @ Y0))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.88 (((((??) @ (^[Y1 : $i]: 88.01/11.88 (((Y0 @ Y1) & 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (((??) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((((Y0) != (emptyset))) => 88.01/11.88 (((??) @ (^[Y1 : $i]: 88.01/11.88 (in @ Y1 @ Y0))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y0 @ 88.01/11.88 (setadjoin @ Y1 @ 88.01/11.88 emptyset)) => 88.01/11.88 (((Y0) = (Y1))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((((Y0) != (Y1))) => 88.01/11.88 (((~) @ ( 88.01/11.88 in @ Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ emptyset)))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((((Y0) = (Y1))) => 88.01/11.88 (in @ Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ emptyset)))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) => 88.01/11.88 (in @ Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset)))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1))) | 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y0)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (((((??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))) => 88.01/11.88 (((dsetconstr @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) != 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (((in @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset) => 88.01/11.88 (Y0 @ Y1))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $o]: 88.01/11.88 (((Y0) => 88.01/11.88 (in @ 88.01/11.88 emptyset @ 88.01/11.88 (prop2set @ 88.01/11.88 Y0))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $o]: 88.01/11.88 (((Y0) => 88.01/11.88 (set2prop @ 88.01/11.88 (prop2set @ 88.01/11.88 Y0))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y3 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) <=> 88.01/11.88 (in @ 88.01/11.88 Y3 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (Y1 @ Y3))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))) <=> 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 Y2) = 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (powerset @ 88.01/11.88 Y0) = 88.01/11.88 (powerset @ 88.01/11.88 Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (setunion @ 88.01/11.88 Y0) = 88.01/11.88 (setunion @ 88.01/11.88 Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (Y1 @ Y3))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))) => 88.01/11.88 (( 88.01/11.88 (descr @ 88.01/11.88 Y0) = 88.01/11.88 (descr @ 88.01/11.88 Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y4 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y4 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y5 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y5 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y4) = 88.01/11.88 (Y5))) => 88.01/11.88 (( 88.01/11.88 (Y2 @ 88.01/11.88 Y4) <=> 88.01/11.88 (Y3 @ Y5))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (dsetconstr @ 88.01/11.88 Y0 @ 88.01/11.88 Y2) = 88.01/11.88 (dsetconstr @ 88.01/11.88 Y1 @ Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (subset @ 88.01/11.88 Y1 @ Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (subset @ 88.01/11.88 emptyset @ 88.01/11.88 Y0)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 subset @ 88.01/11.88 Y0 @ Y1)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 subset @ 88.01/11.88 Y0 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (Y0) != 88.01/11.88 (Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (Y0) != 88.01/11.88 (Y1)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y0)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y2) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y2)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y1)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) => 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (emptyset)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0)) => 88.01/11.88 (subset @ 88.01/11.88 Y1 @ Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 (powerset @ 88.01/11.88 Y0))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y1)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (in @ 88.01/11.88 (dsetconstr @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 (powerset @ 88.01/11.88 Y0)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (subset @ 88.01/11.88 (dsetconstr @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $o]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (Y3))) => 88.01/11.88 (Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) | 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 (binunion @ 88.01/11.88 Y0 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 (binunion @ 88.01/11.88 Y0 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y0))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y1))) => 88.01/11.88 (subset @ 88.01/11.88 Y1 @ Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y1))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y0))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y1 @ Y2)) = 88.01/11.88 (binunion @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (Y3))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (Y3))))) => 88.01/11.88 (Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 (setunion @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setunion @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) = 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) = 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset) @ 88.01/11.88 Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1))) | 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y0)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) @ 88.01/11.88 ( 88.01/11.88 dsetconstr @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))) @ 88.01/11.88 ( 88.01/11.88 ^[Y4 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y5 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y5 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y6 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y6 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (Y4) = 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y5 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y5 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y6 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.88 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl249])). 88.01/11.88 thf(zip_derived_cl260, plain, 88.01/11.88 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y2 @ 88.01/11.88 (setadjoin @ Y0 @ Y1)) => 88.01/11.88 (((in @ Y2 @ Y1) | 88.01/11.88 (((Y2) = (Y0)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = (Y0)))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y2 @ Y1) => (in @ 88.01/11.88 Y2 @ Y0)))))) => 88.01/11.88 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y1 @ 88.01/11.88 (powerset @ Y0)) => 88.01/11.88 (((in @ Y2 @ Y1) => 88.01/11.88 (in @ Y2 @ Y0)))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((in @ Y1 @ Y2) => 88.01/11.88 (((in @ Y2 @ 88.01/11.88 Y0) => (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setunion @ Y0))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y1 @ 88.01/11.88 (setunion @ Y0)) => 88.01/11.88 (((!!) @ (^[Y2 : $o]: 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 Y0) => 88.01/11.88 (Y2)))))))) => 88.01/11.88 (Y2)))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y1 @ Y0) => (in @ 88.01/11.88 Y1 @ 88.01/11.88 (powerset @ 88.01/11.88 (setunion @ Y0))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.88 (((((??) @ (^[Y1 : $i]: 88.01/11.88 (((Y0 @ Y1) & 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (((??) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ (^[Y2 : $i]: 88.01/11.88 (((Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((((Y0) != (emptyset))) => 88.01/11.88 (((??) @ (^[Y1 : $i]: 88.01/11.88 (in @ Y1 @ Y0))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y0 @ 88.01/11.88 (setadjoin @ Y1 @ 88.01/11.88 emptyset)) => 88.01/11.88 (((Y0) = (Y1))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((((Y0) != (Y1))) => 88.01/11.88 (((~) @ (in @ 88.01/11.88 Y1 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset)))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((((Y0) = (Y1))) => 88.01/11.88 (in @ Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ emptyset)))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((in @ Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ emptyset)) => 88.01/11.88 (in @ Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ emptyset)))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1))) | 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y0)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (in @ Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))) => 88.01/11.88 (( 88.01/11.88 (dsetconstr @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) != 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (((in @ Y1 @ 88.01/11.88 emptyset) => 88.01/11.88 (Y0 @ Y1))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (((( 88.01/11.88 (~) @ ( 88.01/11.88 ((!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ (^[Y0 : $o]: 88.01/11.88 (( 88.01/11.88 (Y0) => 88.01/11.88 (in @ 88.01/11.88 emptyset @ 88.01/11.88 ( 88.01/11.88 prop2set @ 88.01/11.88 Y0))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $o]: 88.01/11.88 (((Y0) => 88.01/11.88 (set2prop @ 88.01/11.88 (prop2set @ 88.01/11.88 Y0))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (((!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y1 @ Y2)))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 Y1 @ Y2)))))))))))))))) => 88.01/11.88 (((((!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))))) => 88.01/11.88 (((( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y3 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) <=> 88.01/11.88 (in @ 88.01/11.88 Y3 @ Y1))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (Y1 @ Y3))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))) <=> 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 Y2) = 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (powerset @ 88.01/11.88 Y0) = 88.01/11.88 (powerset @ 88.01/11.88 Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (setunion @ 88.01/11.88 Y0) = 88.01/11.88 (setunion @ 88.01/11.88 Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (( 88.01/11.88 (Y1) = 88.01/11.88 (Y2)))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) <=> 88.01/11.88 (Y1 @ Y3))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y0 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y2) & 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (Y1 @ 88.01/11.88 Y3) => 88.01/11.88 (( 88.01/11.88 (Y2) = 88.01/11.88 (Y3))))))))))))) => 88.01/11.88 (( 88.01/11.88 (descr @ 88.01/11.88 Y0) = 88.01/11.88 (descr @ 88.01/11.88 Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $i > $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y4 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y4 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y5 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y5 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y4) = 88.01/11.88 (Y5))) => 88.01/11.88 (( 88.01/11.88 (Y2 @ 88.01/11.88 Y4) <=> 88.01/11.88 (Y3 @ Y5))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (dsetconstr @ 88.01/11.88 Y0 @ 88.01/11.88 Y2) = 88.01/11.88 (dsetconstr @ 88.01/11.88 Y1 @ Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (subset @ 88.01/11.88 Y1 @ Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (subset @ 88.01/11.88 emptyset @ 88.01/11.88 Y0)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 subset @ 88.01/11.88 Y0 @ Y1)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 subset @ 88.01/11.88 Y0 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (Y0) != 88.01/11.88 (Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (Y0) != 88.01/11.88 (Y1)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y0)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y2) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y2)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y2) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y1)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (Y1))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) => 88.01/11.88 (( 88.01/11.88 (Y0) = 88.01/11.88 (emptyset)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0)) => 88.01/11.88 (subset @ 88.01/11.88 Y1 @ Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 (powerset @ 88.01/11.88 Y0))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y0) @ 88.01/11.88 ( 88.01/11.88 powerset @ 88.01/11.88 Y1)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (in @ 88.01/11.88 (dsetconstr @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 (powerset @ 88.01/11.88 Y0)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i > $o]: 88.01/11.88 (subset @ 88.01/11.88 (dsetconstr @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $o]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (Y3))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (Y3))) => 88.01/11.88 (Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) | 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 (binunion @ 88.01/11.88 Y0 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 (binunion @ 88.01/11.88 Y0 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (subset @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y0))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y1))) => 88.01/11.88 (subset @ 88.01/11.88 Y1 @ Y0))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 ( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) & 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y1))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y1 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y1))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (Y0))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (binintersect @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 binunion @ 88.01/11.88 Y1 @ Y2)) = 88.01/11.88 (binunion @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 ( 88.01/11.88 binintersect @ 88.01/11.88 Y0 @ Y2))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y0)))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (subset @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ Y1)))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1)))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0)))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setminus @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (subset @ 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ Y1) @ 88.01/11.88 Y0))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (setminus @ 88.01/11.88 Y0 @ 88.01/11.88 Y1) = 88.01/11.88 (emptyset))) => 88.01/11.88 (subset @ 88.01/11.88 Y0 @ Y1))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1)) => 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y3 : $o]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (Y3))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (Y3))))) => 88.01/11.88 (Y3))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y0) => 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 Y1) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y0))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ Y1))) => 88.01/11.88 (( 88.01/11.88 (~) @ ( 88.01/11.88 in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 symdiff @ 88.01/11.88 Y0 @ Y1))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y0 @ 88.01/11.88 (setunion @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (in @ 88.01/11.88 Y1 @ 88.01/11.88 (setunion @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 (setadjoin @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 (setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)) = 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y3 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))))))))))))))))))) => 88.01/11.88 (( 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y0 : $i]: 88.01/11.88 (( 88.01/11.88 (!!) @ ( 88.01/11.88 ^[Y1 : $i]: 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y2 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y2 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (??) @ ( 88.01/11.88 ^[Y3 : $i]: 88.01/11.88 (( 88.01/11.88 (in @ 88.01/11.88 Y3 @ 88.01/11.88 ( 88.01/11.88 setunion @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 emptyset) @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y0 @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.88 Y1 @ 88.01/11.88 emptyset)) @ 88.01/11.88 emptyset)))) & 88.01/11.88 (( 88.01/11.88 (setadjoin @ 88.01/11.88 ( 88.01/11.88 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) = 88.01/11.89 (setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 Y0) => 88.01/11.89 (subset @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset) @ 88.01/11.89 Y0))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 Y0)))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y1))) | 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y0)))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (subset @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (subset @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 dsetconstr @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))) @ 88.01/11.89 ( 88.01/11.89 ^[Y4 : $i]: 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y5 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y5 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y6 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y6 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (Y4) = 88.01/11.89 (setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y5 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y5 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y6 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl256])). 88.01/11.89 thf(zip_derived_cl265, plain, 88.01/11.89 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((dsetconstr @ Y0 @ (^[Y1 : $i]: ($true))) = (Y0)))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((((!!) @ (^[Y2 : $i]: 88.01/11.89 (((in @ Y2 @ Y1) => (in @ 88.01/11.89 Y2 @ Y0)))))) => 88.01/11.89 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((in @ Y1 @ 88.01/11.89 (powerset @ Y0)) => 88.01/11.89 (((in @ Y2 @ Y1) => 88.01/11.89 (in @ Y2 @ Y0)))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((in @ Y1 @ Y2) => 88.01/11.89 (((in @ Y2 @ Y0) => 88.01/11.89 (in @ Y1 @ 88.01/11.89 (setunion @ Y0))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y1 @ (setunion @ Y0)) => 88.01/11.89 (((!!) @ (^[Y2 : $o]: 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (((in @ 88.01/11.89 Y1 @ 88.01/11.89 Y3) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y0) => 88.01/11.89 (Y2)))))))) => 88.01/11.89 (Y2)))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y1 @ Y0) => (in @ 88.01/11.89 Y1 @ 88.01/11.89 (powerset @ (setunion @ Y0))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.89 (((((??) @ (^[Y1 : $i]: 88.01/11.89 (((Y0 @ Y1) & 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (((??) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((Y0 @ 88.01/11.89 Y2) <=> 88.01/11.89 (((Y2) = 88.01/11.89 (Y1)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((((Y0) != (emptyset))) => 88.01/11.89 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y0 @ 88.01/11.89 (setadjoin @ Y1 @ 88.01/11.89 emptyset)) => 88.01/11.89 (((Y0) = (Y1))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((((Y0) != (Y1))) => 88.01/11.89 (((~) @ (in @ Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset)))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((((Y0) = (Y1))) => 88.01/11.89 (in @ Y0 @ 88.01/11.89 (setadjoin @ Y1 @ 88.01/11.89 emptyset)))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ emptyset)) => 88.01/11.89 (in @ Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ emptyset)))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (((in @ 88.01/11.89 Y2 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y1))) | 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y0)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (in @ Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (in @ Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))) => 88.01/11.89 (( 88.01/11.89 (dsetconstr @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) != 88.01/11.89 (emptyset))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset) => 88.01/11.89 (Y0 @ Y1))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (((((~) @ ( 88.01/11.89 ((!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (((??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (((( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ((??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $o]: 88.01/11.89 (( 88.01/11.89 (Y0) => 88.01/11.89 (in @ 88.01/11.89 emptyset @ 88.01/11.89 ( 88.01/11.89 prop2set @ 88.01/11.89 Y0))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $o]: 88.01/11.89 (( 88.01/11.89 (Y0) => 88.01/11.89 (set2prop @ 88.01/11.89 ( 88.01/11.89 prop2set @ 88.01/11.89 Y0))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (Y0 @ Y1)))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) <=> 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))) => 88.01/11.89 (((( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y3 @ Y1))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) <=> 88.01/11.89 (in @ 88.01/11.89 Y3 @ Y1))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) <=> 88.01/11.89 (Y1 @ Y3))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y3) => 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))))))))))))) <=> 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y1 @ 88.01/11.89 Y2) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (Y1 @ 88.01/11.89 Y3) => 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))))))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 Y2) = 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ Y3))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (powerset @ 88.01/11.89 Y0) = 88.01/11.89 (powerset @ 88.01/11.89 Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (setunion @ 88.01/11.89 Y0) = 88.01/11.89 (setunion @ 88.01/11.89 Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) <=> 88.01/11.89 (Y1 @ Y3))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y3) => 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y1 @ 88.01/11.89 Y2) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (Y1 @ 88.01/11.89 Y3) => 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))))))))))))) => 88.01/11.89 (( 88.01/11.89 (descr @ 88.01/11.89 Y0) = 88.01/11.89 (descr @ 88.01/11.89 Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y4 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y4 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y5 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y5 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y4) = 88.01/11.89 (Y5))) => 88.01/11.89 (( 88.01/11.89 (Y2 @ 88.01/11.89 Y4) <=> 88.01/11.89 (Y3 @ Y5))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (dsetconstr @ 88.01/11.89 Y0 @ 88.01/11.89 Y2) = 88.01/11.89 (dsetconstr @ 88.01/11.89 Y1 @ Y3))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y1)))))) => 88.01/11.89 (subset @ 88.01/11.89 Y0 @ Y1))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (subset @ 88.01/11.89 Y1 @ Y0))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (subset @ 88.01/11.89 Y0 @ Y1))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y1)))))) => 88.01/11.89 (subset @ 88.01/11.89 Y0 @ Y1))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (subset @ 88.01/11.89 emptyset @ 88.01/11.89 Y0)))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y1)))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y0)))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 subset @ 88.01/11.89 Y0 @ Y1)))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 subset @ 88.01/11.89 Y0 @ Y1))) => 88.01/11.89 (( 88.01/11.89 (Y0) != 88.01/11.89 (Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (( 88.01/11.89 (Y0) != 88.01/11.89 (Y1)))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (subset @ 88.01/11.89 Y0 @ Y0)))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y1 @ 88.01/11.89 Y2) => 88.01/11.89 (subset @ 88.01/11.89 Y0 @ Y2)))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (subset @ 88.01/11.89 Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ Y1)))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 Y1)))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y1 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) => 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (emptyset)))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y1 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 Y0)))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 Y0)) => 88.01/11.89 (subset @ 88.01/11.89 Y1 @ Y0))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (in @ 88.01/11.89 Y0 @ 88.01/11.89 (powerset @ 88.01/11.89 Y0))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (subset @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 Y0) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 Y1)))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (in @ 88.01/11.89 (dsetconstr @ 88.01/11.89 Y0 @ Y1) @ 88.01/11.89 (powerset @ 88.01/11.89 Y0)))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (subset @ 88.01/11.89 (dsetconstr @ 88.01/11.89 Y0 @ Y1) @ 88.01/11.89 Y0))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $o]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (Y3))) => 88.01/11.89 (Y3))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) | 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y0)))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 (binunion @ 88.01/11.89 Y0 @ Y1)))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (subset @ 88.01/11.89 Y1 @ 88.01/11.89 (binunion @ 88.01/11.89 Y0 @ Y1)))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binintersect @ 88.01/11.89 Y0 @ Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (subset @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binintersect @ 88.01/11.89 Y0 @ Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binintersect @ 88.01/11.89 Y0 @ Y1)) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y0)))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (subset @ 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ Y1) @ 88.01/11.89 Y0))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) = 88.01/11.89 (Y0))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) = 88.01/11.89 (Y1))) => 88.01/11.89 (subset @ 88.01/11.89 Y1 @ Y0))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 binintersect @ 88.01/11.89 Y0 @ Y1)) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y1)))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y1)))))))) => 88.01/11.89 (( 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) = 88.01/11.89 (emptyset))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (subset @ 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ Y1) @ 88.01/11.89 Y1))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y1 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) = 88.01/11.89 (Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) = 88.01/11.89 (Y0))) => 88.01/11.89 (subset @ 88.01/11.89 Y0 @ Y1))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (binintersect @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y1 @ Y2)) = 88.01/11.89 (binunion @ 88.01/11.89 ( 88.01/11.89 binintersect @ 88.01/11.89 Y0 @ Y1) @ 88.01/11.89 ( 88.01/11.89 binintersect @ 88.01/11.89 Y0 @ Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setminus @ 88.01/11.89 Y0 @ Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setminus @ 88.01/11.89 Y0 @ Y1)) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y0)))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setminus @ 88.01/11.89 Y0 @ Y1)) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1)))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (subset @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (setminus @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) = 88.01/11.89 (emptyset))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setminus @ 88.01/11.89 Y0 @ Y1)))) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ Y1)))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setminus @ 88.01/11.89 Y0 @ Y1)))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y0)))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y0))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setminus @ 88.01/11.89 Y0 @ Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setminus @ 88.01/11.89 Y0 @ Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (subset @ 88.01/11.89 (setminus @ 88.01/11.89 Y0 @ Y1) @ 88.01/11.89 Y0))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (setminus @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) = 88.01/11.89 (emptyset))) => 88.01/11.89 (subset @ 88.01/11.89 Y0 @ Y1))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 symdiff @ 88.01/11.89 Y0 @ Y1)) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (Y3))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y0))) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (Y3))))) => 88.01/11.89 (Y3))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 symdiff @ 88.01/11.89 Y0 @ Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y0))) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 symdiff @ 88.01/11.89 Y0 @ Y1))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 symdiff @ 88.01/11.89 Y0 @ Y1))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y0))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ Y1))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 symdiff @ 88.01/11.89 Y0 @ Y1))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (in @ 88.01/11.89 Y0 @ 88.01/11.89 (setunion @ 88.01/11.89 (setadjoin @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 (setadjoin @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 (setunion @ 88.01/11.89 (setadjoin @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 (setadjoin @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setunion @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))) & 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 ( 88.01/11.89 setunion @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))) & 88.01/11.89 (( 88.01/11.89 (setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) = 88.01/11.89 (setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setunion @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))) & 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 ( 88.01/11.89 setunion @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))) & 88.01/11.89 (( 88.01/11.89 (setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) = 88.01/11.89 (setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 Y0) => 88.01/11.89 (subset @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset) @ 88.01/11.89 Y0))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 Y0)))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y1))) | 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y0)))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (subset @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (subset @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1)))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y3 @ 88.01/11.89 Y1) => 88.01/11.89 (in @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y2 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y3 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)) @ 88.01/11.89 ( 88.01/11.89 dsetconstr @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 powerset @ 88.01/11.89 ( 88.01/11.89 binunion @ 88.01/11.89 Y0 @ Y1))) @ 88.01/11.89 ( 88.01/11.89 ^[Y4 : $i]: 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y5 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y5 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y6 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y6 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (Y4) = 88.01/11.89 (setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y5 @ 88.01/11.89 emptyset) @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y5 @ 88.01/11.89 ( 88.01/11.89 setadjoin @ 88.01/11.89 Y6 @ 88.01/11.89 emptyset)) @ 88.01/11.89 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.89 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl260])). 88.01/11.89 thf(zip_derived_cl270, plain, 88.01/11.89 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((((!!) @ (^[Y2 : $i]: 88.01/11.89 (((in @ Y2 @ Y1) => (in @ 88.01/11.89 Y2 @ Y0)))))) => 88.01/11.89 (in @ Y1 @ (powerset @ Y0)))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((in @ Y1 @ 88.01/11.89 (powerset @ Y0)) => 88.01/11.89 (((in @ Y2 @ Y1) => 88.01/11.89 (in @ Y2 @ Y0)))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((in @ Y1 @ Y2) => 88.01/11.89 (((in @ Y2 @ Y0) => 88.01/11.89 (in @ Y1 @ 88.01/11.89 (setunion @ Y0))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y1 @ (setunion @ Y0)) => 88.01/11.89 (((!!) @ (^[Y2 : $o]: 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (((in @ Y1 @ 88.01/11.89 Y3) => 88.01/11.89 (((in @ 88.01/11.89 Y3 @ 88.01/11.89 Y0) => 88.01/11.89 (Y2)))))))) => 88.01/11.89 (Y2)))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y1 @ Y0) => (in @ Y1 @ 88.01/11.89 (powerset @ (setunion @ Y0))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.89 (((((??) @ (^[Y1 : $i]: 88.01/11.89 (((Y0 @ Y1) & 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((Y0 @ Y2) => 88.01/11.89 (((Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (((??) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ (^[Y2 : $i]: 88.01/11.89 (((Y0 @ Y2) <=> 88.01/11.89 (((Y2) = (Y1)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((((Y0) != (emptyset))) => 88.01/11.89 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y0 @ 88.01/11.89 (setadjoin @ Y1 @ 88.01/11.89 emptyset)) => 88.01/11.89 (((Y0) = (Y1))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((((Y0) != (Y1))) => 88.01/11.89 (((~) @ (in @ Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 emptyset)))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((((Y0) = (Y1))) => 88.01/11.89 (in @ Y0 @ 88.01/11.89 (setadjoin @ Y1 @ 88.01/11.89 emptyset)))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((in @ Y0 @ 88.01/11.89 (setadjoin @ Y1 @ 88.01/11.89 emptyset)) => 88.01/11.89 (in @ Y1 @ 88.01/11.89 (setadjoin @ Y0 @ 88.01/11.89 emptyset)))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (((in @ Y2 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))) => 88.01/11.89 (((( 88.01/11.89 (Y2) = 88.01/11.89 (Y1))) | 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y0)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (in @ Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ emptyset))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (in @ Y1 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.89 (((( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))) => 88.01/11.89 (( 88.01/11.89 (dsetconstr @ 88.01/11.89 Y0 @ 88.01/11.89 Y1) != 88.01/11.89 (emptyset))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.89 (((!!) @ (^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y1 @ 88.01/11.89 emptyset) => 88.01/11.89 (Y0 @ Y1))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))) => 88.01/11.89 (((~) @ ( 88.01/11.89 ((??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (((( 88.01/11.89 (~) @ ( 88.01/11.89 ((??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $o]: 88.01/11.89 (((Y0) => 88.01/11.89 (in @ 88.01/11.89 emptyset @ 88.01/11.89 (prop2set @ 88.01/11.89 Y0))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $o]: 88.01/11.89 (( 88.01/11.89 (Y0) => 88.01/11.89 (set2prop @ 88.01/11.89 ( 88.01/11.89 prop2set @ 88.01/11.89 Y0))))))) => 88.01/11.89 (((((!!) @ (^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (((!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 ( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (Y1 @ Y2)))))))) => 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) & 88.01/11.89 (( 88.01/11.89 (~) @ ( 88.01/11.89 Y1 @ Y2)))))))))))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (((( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (Y0 @ Y1)))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) <=> 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))) => 88.01/11.89 (((((!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) => 88.01/11.89 (in @ 88.01/11.89 Y3 @ Y1))))))))))))))))))) => 88.01/11.89 (((( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (in @ 88.01/11.89 Y2 @ 88.01/11.89 Y0) <=> 88.01/11.89 (in @ 88.01/11.89 Y3 @ Y1))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) <=> 88.01/11.89 (Y1 @ Y3))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y3) => 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))))))))))))) <=> 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y1 @ 88.01/11.89 Y2) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (Y1 @ 88.01/11.89 Y3) => 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))))))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y3 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y2) = 88.01/11.89 (Y3))) => 88.01/11.89 (( 88.01/11.89 (setadjoin @ 88.01/11.89 Y0 @ 88.01/11.89 Y2) = 88.01/11.89 (setadjoin @ 88.01/11.89 Y1 @ Y3))))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (powerset @ 88.01/11.89 Y0) = 88.01/11.89 (powerset @ 88.01/11.89 Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (Y0) = 88.01/11.89 (Y1))) => 88.01/11.89 (( 88.01/11.89 (setunion @ 88.01/11.89 Y0) = 88.01/11.89 (setunion @ 88.01/11.89 Y1))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (??) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) & 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2))))))))))))) => 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y1) => 88.01/11.89 (( 88.01/11.89 (Y0 @ 88.01/11.89 Y2) => 88.01/11.89 (( 88.01/11.89 (Y1) = 88.01/11.89 (Y2)))))))))))))))))) => 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y0 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y1 : $i > $o]: 88.01/11.89 (( 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.89 ^[Y2 : $i]: 88.01/11.89 (( 88.01/11.89 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) <=> 88.01/11.90 (Y1 @ Y3))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) => 88.01/11.90 (( 88.01/11.90 (descr @ 88.01/11.90 Y0) = 88.01/11.90 (descr @ 88.01/11.90 Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y4 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y4 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y5 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y5 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y4) = 88.01/11.90 (Y5))) => 88.01/11.90 (( 88.01/11.90 (Y2 @ 88.01/11.90 Y4) <=> 88.01/11.90 (Y3 @ Y5))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) = 88.01/11.90 (dsetconstr @ 88.01/11.90 Y1 @ Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (subset @ 88.01/11.90 emptyset @ 88.01/11.90 Y0)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 subset @ 88.01/11.90 Y0 @ Y1)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 subset @ 88.01/11.90 Y0 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (Y0) != 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (Y0) != 88.01/11.90 (Y1)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y0)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y2) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y2)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y1)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) => 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (emptyset)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 (powerset @ 88.01/11.90 Y0))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y1)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (in @ 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 (powerset @ 88.01/11.90 Y0)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (subset @ 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $o]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (Y3))) => 88.01/11.90 (Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) | 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 (binunion @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 (binunion @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y0))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (emptyset))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y1))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y0))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y1 @ Y2)) = 88.01/11.90 (binunion @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (setminus @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (emptyset))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (setminus @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (setminus @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (emptyset))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (Y3))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (Y3))))) => 88.01/11.90 (Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 (setunion @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 (setunion @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) = 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) = 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset) @ 88.01/11.90 Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y1))) | 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y0)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 dsetconstr @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))) @ 88.01/11.90 ( 88.01/11.90 ^[Y4 : $i]: 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y5 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y5 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y6 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y6 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (Y4) = 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y5 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y5 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y6 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl265])). 88.01/11.90 thf(zip_derived_cl275, plain, 88.01/11.90 (~ (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((in @ Y1 @ 88.01/11.90 (powerset @ Y0)) => 88.01/11.90 (((in @ Y2 @ Y1) => (in @ 88.01/11.90 Y2 @ Y0)))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((in @ Y1 @ Y2) => 88.01/11.90 (((in @ Y2 @ Y0) => 88.01/11.90 (in @ Y1 @ 88.01/11.90 (setunion @ Y0))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y1 @ (setunion @ Y0)) => 88.01/11.90 (((!!) @ (^[Y2 : $o]: 88.01/11.90 (((((!!) @ (^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y0) => 88.01/11.90 (Y2)))))))) => 88.01/11.90 (Y2)))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y1 @ Y0) => (in @ Y1 @ 88.01/11.90 (powerset @ (setunion @ Y0))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.90 (((((??) @ (^[Y1 : $i]: 88.01/11.90 (((Y0 @ Y1) & 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((Y0 @ Y2) => 88.01/11.90 (((Y1) = (Y2))))))))))))) => 88.01/11.90 (((??) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((Y0 @ Y2) <=> 88.01/11.90 (((Y2) = (Y1)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((((Y0) != (emptyset))) => 88.01/11.90 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y0 @ 88.01/11.90 (setadjoin @ Y1 @ emptyset)) => 88.01/11.90 (((Y0) = (Y1))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((((Y0) != (Y1))) => 88.01/11.90 (((~) @ (in @ Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ emptyset)))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((((Y0) = (Y1))) => 88.01/11.90 (in @ Y0 @ 88.01/11.90 (setadjoin @ Y1 @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y0 @ 88.01/11.90 (setadjoin @ Y1 @ 88.01/11.90 emptyset)) => 88.01/11.90 (in @ Y1 @ 88.01/11.90 (setadjoin @ Y0 @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 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Y1) != 88.01/11.90 (emptyset))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset) => 88.01/11.90 (Y0 @ Y1))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (((((~) @ ( 88.01/11.90 ((??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (((!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (((( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ((!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $o]: 88.01/11.90 (((Y0) => 88.01/11.90 (in @ 88.01/11.90 emptyset @ 88.01/11.90 (prop2set @ 88.01/11.90 Y0))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $o]: 88.01/11.90 (((Y0) => 88.01/11.90 (set2prop @ 88.01/11.90 (prop2set @ 88.01/11.90 Y0))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (((((??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (Y0 @ Y1)))) => 88.01/11.90 (((( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (((( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) <=> 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y3 @ Y1))))))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) <=> 88.01/11.90 (in @ 88.01/11.90 Y3 @ Y1))))))))))))))))))) => 88.01/11.90 (((( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) <=> 88.01/11.90 (Y1 @ Y3))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) <=> 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) = 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (powerset @ 88.01/11.90 Y0) = 88.01/11.90 (powerset @ 88.01/11.90 Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (setunion @ 88.01/11.90 Y0) = 88.01/11.90 (setunion @ 88.01/11.90 Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) <=> 88.01/11.90 (Y1 @ Y3))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) => 88.01/11.90 (( 88.01/11.90 (descr @ 88.01/11.90 Y0) = 88.01/11.90 (descr @ 88.01/11.90 Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y4 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y4 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y5 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y5 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y4) = 88.01/11.90 (Y5))) => 88.01/11.90 (( 88.01/11.90 (Y2 @ 88.01/11.90 Y4) <=> 88.01/11.90 (Y3 @ Y5))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) = 88.01/11.90 (dsetconstr @ 88.01/11.90 Y1 @ Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (subset @ 88.01/11.90 emptyset @ 88.01/11.90 Y0)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 subset @ 88.01/11.90 Y0 @ Y1)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 subset @ 88.01/11.90 Y0 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (Y0) != 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (Y0) != 88.01/11.90 (Y1)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y0)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y2) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y2)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y1)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) => 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (emptyset)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 (powerset @ 88.01/11.90 Y0))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y1)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (in @ 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 (powerset @ 88.01/11.90 Y0)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (subset @ 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $o]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (Y3))) => 88.01/11.90 (Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) | 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 (binunion @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 (binunion @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y0))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (emptyset))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y1))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y0))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y1 @ Y2)) = 88.01/11.90 (binunion @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (setminus @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (emptyset))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setminus @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (setminus @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (setminus @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (emptyset))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (Y3))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (Y3))))) => 88.01/11.90 (Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 symdiff @ 88.01/11.90 Y0 @ Y1))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 (setunion @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 (setunion @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 (setadjoin @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) = 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 ( 88.01/11.90 setunion @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))) & 88.01/11.90 (( 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) = 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset) @ 88.01/11.90 Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y1))) | 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y0)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y3 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)) @ 88.01/11.90 ( 88.01/11.90 dsetconstr @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))) @ 88.01/11.90 ( 88.01/11.90 ^[Y4 : $i]: 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y5 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y5 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y6 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y6 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (Y4) = 88.01/11.90 (setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y5 @ 88.01/11.90 emptyset) @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y5 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y6 @ 88.01/11.90 emptyset)) @ 88.01/11.90 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.90 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl270])). 88.01/11.90 thf(zip_derived_cl281, plain, 88.01/11.90 (~ (((((!!) @ (^[Y0 : $i]: (in @ emptyset @ (powerset @ Y0))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((in @ Y1 @ 88.01/11.90 (powerset @ Y0)) => 88.01/11.90 (((in @ Y2 @ Y1) => (in @ 88.01/11.90 Y2 @ Y0)))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((in @ Y1 @ Y2) => 88.01/11.90 (((in @ Y2 @ Y0) => (in @ 88.01/11.90 Y1 @ (setunion @ Y0))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y1 @ (setunion @ Y0)) => 88.01/11.90 (((!!) @ (^[Y2 : $o]: 88.01/11.90 (((((!!) @ (^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y3 @ 88.01/11.90 Y0) => 88.01/11.90 (Y2)))))))) => 88.01/11.90 (Y2)))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y1 @ Y0) => (in @ Y1 @ 88.01/11.90 (powerset @ (setunion @ Y0))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.90 (((((??) @ (^[Y1 : $i]: 88.01/11.90 (((Y0 @ Y1) & 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((Y0 @ Y2) => 88.01/11.90 (((Y1) = (Y2))))))))))))) => 88.01/11.90 (((??) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (((Y0 @ Y2) <=> 88.01/11.90 (((Y2) = (Y1)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((((Y0) != (emptyset))) => 88.01/11.90 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y0 @ 88.01/11.90 (setadjoin @ Y1 @ emptyset)) => 88.01/11.90 (((Y0) = (Y1))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((((Y0) != (Y1))) => 88.01/11.90 (((~) @ (in @ Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ emptyset)))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((((Y0) = (Y1))) => 88.01/11.90 (in @ Y0 @ 88.01/11.90 (setadjoin @ Y1 @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y0 @ 88.01/11.90 (setadjoin @ Y1 @ 88.01/11.90 emptyset)) => 88.01/11.90 (in @ Y1 @ 88.01/11.90 (setadjoin @ Y0 @ 88.01/11.90 emptyset)))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((!!) @ (^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y1))) | 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y0)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (in @ Y0 @ 88.01/11.90 (setadjoin @ Y0 @ 88.01/11.90 (setadjoin @ Y1 @ 88.01/11.90 emptyset))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (in @ Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ emptyset))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.90 (((((??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (Y1 @ Y2)))))) => 88.01/11.90 (((dsetconstr @ 88.01/11.90 Y0 @ Y1) != 88.01/11.90 (emptyset))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.90 (((!!) @ (^[Y1 : $i]: 88.01/11.90 (((in @ Y1 @ 88.01/11.90 emptyset) => 88.01/11.90 (Y0 @ Y1))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.90 (((( 88.01/11.90 (~) @ ( 88.01/11.90 ((!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (((((??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))) => 88.01/11.90 (((~) @ ( 88.01/11.90 ((!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $o]: 88.01/11.90 (((Y0) => (in @ 88.01/11.90 emptyset @ 88.01/11.90 (prop2set @ Y0))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $o]: 88.01/11.90 (((Y0) => 88.01/11.90 (set2prop @ 88.01/11.90 (prop2set @ 88.01/11.90 Y0))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (((!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y1 @ Y2)))))))) => 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 Y1 @ Y2)))))))))))))))) => 88.01/11.90 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (Y0 @ Y1)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (((((??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) <=> 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (((??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (((!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y3 @ Y1))))))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) <=> 88.01/11.90 (in @ 88.01/11.90 Y3 @ Y1))))))))))))))))))) => 88.01/11.90 (((((!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))) => 88.01/11.90 (((( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) <=> 88.01/11.90 (Y1 @ Y3))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) <=> 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) = 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (powerset @ 88.01/11.90 Y0) = 88.01/11.90 (powerset @ 88.01/11.90 Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (setunion @ 88.01/11.90 Y0) = 88.01/11.90 (setunion @ 88.01/11.90 Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (( 88.01/11.90 (Y1) = 88.01/11.90 (Y2)))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) <=> 88.01/11.90 (Y1 @ Y3))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y0 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y2) & 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i]: 88.01/11.90 (( 88.01/11.90 (Y1 @ 88.01/11.90 Y3) => 88.01/11.90 (( 88.01/11.90 (Y2) = 88.01/11.90 (Y3))))))))))))) => 88.01/11.90 (( 88.01/11.90 (descr @ 88.01/11.90 Y0) = 88.01/11.90 (descr @ 88.01/11.90 Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $i > $o]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y4 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y4 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y5 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y5 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y4) = 88.01/11.90 (Y5))) => 88.01/11.90 (( 88.01/11.90 (Y2 @ 88.01/11.90 Y4) <=> 88.01/11.90 (Y3 @ Y5))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) = 88.01/11.90 (dsetconstr @ 88.01/11.90 Y1 @ Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (subset @ 88.01/11.90 emptyset @ 88.01/11.90 Y0)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y0)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 subset @ 88.01/11.90 Y0 @ Y1)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 subset @ 88.01/11.90 Y0 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (Y0) != 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 in @ 88.01/11.90 Y2 @ Y1))) => 88.01/11.90 (( 88.01/11.90 (Y0) != 88.01/11.90 (Y1)))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y0)))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y2) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y2)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y2) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 setadjoin @ 88.01/11.90 Y1 @ Y2))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y1)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 emptyset) => 88.01/11.90 (( 88.01/11.90 (Y0) = 88.01/11.90 (emptyset)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0)) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y0 @ 88.01/11.90 (powerset @ 88.01/11.90 Y0))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y0) @ 88.01/11.90 ( 88.01/11.90 powerset @ 88.01/11.90 Y1)))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (in @ 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 (powerset @ 88.01/11.90 Y0)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i > $o]: 88.01/11.90 (subset @ 88.01/11.90 (dsetconstr @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (in @ 88.01/11.90 Y1 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y0 @ 88.01/11.90 (setadjoin @ 88.01/11.90 Y1 @ 88.01/11.90 emptyset))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y3 : $o]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (Y3))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (Y3))) => 88.01/11.90 (Y3))))))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binunion @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) | 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 (binunion @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 (binunion @ 88.01/11.90 Y0 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 Y1) => 88.01/11.90 (subset @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1))))))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y0)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y0))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y0))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y1))) => 88.01/11.90 (subset @ 88.01/11.90 Y1 @ Y0))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 ( 88.01/11.90 binintersect @ 88.01/11.90 Y0 @ Y1)) => 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (~) @ ( 88.01/11.90 ( 88.01/11.90 (??) @ ( 88.01/11.90 ^[Y2 : $i]: 88.01/11.90 (( 88.01/11.90 (in @ 88.01/11.90 Y2 @ 88.01/11.90 Y0) & 88.01/11.90 (in @ 88.01/11.90 Y2 @ Y1)))))))) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (emptyset))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (subset @ 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ Y1) @ 88.01/11.90 Y1))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (subset @ 88.01/11.90 Y1 @ 88.01/11.90 Y0) => 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y1))))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y1 : $i]: 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (binintersect @ 88.01/11.90 Y0 @ 88.01/11.90 Y1) = 88.01/11.90 (Y0))) => 88.01/11.90 (subset @ 88.01/11.90 Y0 @ Y1))))))))) => 88.01/11.90 (( 88.01/11.90 (( 88.01/11.90 (!!) @ ( 88.01/11.90 ^[Y0 : $i]: 88.01/11.90 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y1 @ Y2)) = 88.01/11.91 (binunion @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y0)))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y0))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (Y3))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (Y3))))) => 88.01/11.91 (Y3))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y0 @ 88.01/11.91 (setunion @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setunion @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset) @ 88.01/11.91 Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y1))) | 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 dsetconstr @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))) @ 88.01/11.91 ( 88.01/11.91 ^[Y4 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y5 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y5 @ 88.01/11.91 Y0) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y6 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y6 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (Y4) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y5 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y5 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y6 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl275])). 88.01/11.91 thf(zip_derived_cl287, plain, 88.01/11.91 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((!!) @ (^[Y2 : $i]: 88.01/11.91 (((in @ Y1 @ (powerset @ Y0)) => 88.01/11.91 (((in @ Y2 @ Y1) => (in @ 88.01/11.91 Y2 @ Y0)))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((!!) @ (^[Y2 : $i]: 88.01/11.91 (((in @ Y1 @ Y2) => 88.01/11.91 (((in @ Y2 @ Y0) => 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88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 ( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (Y1 @ Y2)))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 ( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ 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(Y1 @ Y2)))))))) => 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2)))))))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) <=> 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2)))))))))))))))))) => 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (((!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y3 @ Y1))))))))))))))))))) => 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (((!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) <=> 88.01/11.91 (in @ 88.01/11.91 Y3 @ Y1))))))))))))))))))) => 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 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88.01/11.91 (powerset @ 88.01/11.91 Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (setunion @ 88.01/11.91 Y0) = 88.01/11.91 (setunion @ 88.01/11.91 Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2)))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) <=> 88.01/11.91 (Y1 @ Y3))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y3) => 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y1 @ 88.01/11.91 Y2) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (Y1 @ 88.01/11.91 Y3) => 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))))))))))))) => 88.01/11.91 (( 88.01/11.91 (descr @ 88.01/11.91 Y0) = 88.01/11.91 (descr @ 88.01/11.91 Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y4 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y4 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y5 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y5 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y4) = 88.01/11.91 (Y5))) => 88.01/11.91 (( 88.01/11.91 (Y2 @ 88.01/11.91 Y4) <=> 88.01/11.91 (Y3 @ Y5))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (dsetconstr @ 88.01/11.91 Y0 @ 88.01/11.91 Y2) = 88.01/11.91 (dsetconstr @ 88.01/11.91 Y1 @ Y3))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (subset @ 88.01/11.91 Y1 @ Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (subset @ 88.01/11.91 emptyset @ 88.01/11.91 Y0)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 subset @ 88.01/11.91 Y0 @ Y1)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 subset @ 88.01/11.91 Y0 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (Y0) != 88.01/11.91 (Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (Y0) != 88.01/11.91 (Y1)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y0)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y2) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y2)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y1)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) => 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (emptyset)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0)) => 88.01/11.91 (subset @ 88.01/11.91 Y1 @ Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y0 @ 88.01/11.91 (powerset @ 88.01/11.91 Y0))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y1)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (in @ 88.01/11.91 (dsetconstr @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 (powerset @ 88.01/11.91 Y0)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (subset @ 88.01/11.91 (dsetconstr @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y0))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $o]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (Y3))) => 88.01/11.91 (Y3))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) | 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y0)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 (binunion @ 88.01/11.91 Y0 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 (binunion @ 88.01/11.91 Y0 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y0)))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y0))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y0))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y1))) => 88.01/11.91 (subset @ 88.01/11.91 Y1 @ Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 ( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y1))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y0))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y1 @ Y2)) = 88.01/11.91 (binunion @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y0)))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y0))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (Y3))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (Y3))))) => 88.01/11.91 (Y3))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y0 @ 88.01/11.91 (setunion @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setunion @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset) @ 88.01/11.91 Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y1))) | 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) @ 88.01/11.91 ( 88.01/11.91 dsetconstr @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))) @ 88.01/11.91 ( 88.01/11.91 ^[Y4 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y5 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y5 @ 88.01/11.91 Y0) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y6 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y6 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (Y4) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y5 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y5 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y6 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.01/11.91 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl281])). 88.01/11.91 thf(zip_derived_cl293, plain, 88.01/11.91 (~ (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((!!) @ (^[Y2 : $i]: 88.01/11.91 (((in @ Y1 @ Y2) => 88.01/11.91 (((in @ Y2 @ Y0) => (in @ 88.01/11.91 Y1 @ (setunion @ Y0))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((in @ Y1 @ (setunion @ Y0)) => 88.01/11.91 (((!!) @ (^[Y2 : $o]: 88.01/11.91 (((((!!) @ (^[Y3 : $i]: 88.01/11.91 (((in @ Y1 @ 88.01/11.91 Y3) => 88.01/11.91 (((in @ 88.01/11.91 Y3 @ 88.01/11.91 Y0) => 88.01/11.91 (Y2)))))))) => 88.01/11.91 (Y2)))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((in @ Y1 @ Y0) => (in @ Y1 @ 88.01/11.91 (powerset @ (setunion @ Y0))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.91 (((((??) @ (^[Y1 : $i]: 88.01/11.91 (((Y0 @ Y1) & 88.01/11.91 (((!!) @ (^[Y2 : $i]: 88.01/11.91 (((Y0 @ Y2) => 88.01/11.91 (((Y1) = (Y2))))))))))))) => 88.01/11.91 (((??) @ (^[Y1 : $i]: 88.01/11.91 (((!!) @ (^[Y2 : $i]: 88.01/11.91 (((Y0 @ Y2) <=> 88.01/11.91 (((Y2) = (Y1)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((((Y0) != (emptyset))) => 88.01/11.91 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((in @ Y0 @ 88.01/11.91 (setadjoin @ Y1 @ emptyset)) => 88.01/11.91 (((Y0) = (Y1))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((((Y0) != (Y1))) => 88.01/11.91 (((~) @ (in @ Y1 @ 88.01/11.91 (setadjoin @ Y0 @ 88.01/11.91 emptyset)))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((((Y0) = (Y1))) => (in @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ Y1 @ emptyset)))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((in @ Y0 @ 88.01/11.91 (setadjoin @ Y1 @ emptyset)) => 88.01/11.91 (in @ Y1 @ 88.01/11.91 (setadjoin @ Y0 @ emptyset)))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((!!) @ (^[Y2 : $i]: 88.01/11.91 (((in @ Y2 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))) => 88.01/11.91 (((( 88.01/11.91 (Y2) = 88.01/11.91 (Y1))) | 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y0)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (in @ Y0 @ 88.01/11.91 (setadjoin @ Y0 @ 88.01/11.91 (setadjoin @ Y1 @ 88.01/11.91 emptyset))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (in @ Y1 @ 88.01/11.91 (setadjoin @ Y0 @ 88.01/11.91 (setadjoin @ Y1 @ 88.01/11.91 emptyset))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.91 (((((??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (((in @ Y2 @ 88.01/11.91 Y0) & (Y1 @ 88.01/11.91 Y2)))))) => 88.01/11.91 (((dsetconstr @ 88.01/11.91 Y0 @ Y1) != 88.01/11.91 (emptyset))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.91 (((!!) @ (^[Y1 : $i]: 88.01/11.91 (((in @ Y1 @ 88.01/11.91 emptyset) => 88.01/11.91 (Y0 @ Y1))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.91 (((((~) @ ( 88.01/11.91 ((!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 ( 88.01/11.91 ( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (Y1 @ Y2)))))))) => 88.01/11.91 (((??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))) => 88.01/11.91 (((~) @ ( 88.01/11.91 ((??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.91 (((( 88.01/11.91 (~) @ ( 88.01/11.91 ((??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (Y1 @ Y2)))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ (^[Y1 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 ( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $o]: 88.01/11.91 (((Y0) => (in @ 88.01/11.91 emptyset @ 88.01/11.91 (prop2set @ Y0))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $o]: 88.01/11.91 (((Y0) => 88.01/11.91 (set2prop @ 88.01/11.91 (prop2set @ Y0))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (((( 88.01/11.91 (~) @ ( 88.01/11.91 ((??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (Y1 @ Y2)))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (((!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 ( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (Y1 @ Y2)))))))) => 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 Y1 @ Y2)))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.91 (((( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2)))))))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) <=> 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2)))))))))))))))))) => 88.01/11.91 (((((!!) @ (^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y3 @ Y1))))))))))))))))))) => 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (((!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) <=> 88.01/11.91 (in @ 88.01/11.91 Y3 @ Y1))))))))))))))))))) => 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y0 : $i > $o]: 88.01/11.91 (((( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2)))))))))))))))))) => 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) <=> 88.01/11.91 (Y1 @ Y3))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y3) => 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))))))))))))) <=> 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y1 @ 88.01/11.91 Y2) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (Y1 @ 88.01/11.91 Y3) => 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))))))))))))))))))))))) => 88.01/11.91 (((((!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 Y2) = 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ Y3))))))))))))))))))) => 88.01/11.91 (((( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (powerset @ 88.01/11.91 Y0) = 88.01/11.91 (powerset @ 88.01/11.91 Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (setunion @ 88.01/11.91 Y0) = 88.01/11.91 (setunion @ 88.01/11.91 Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (( 88.01/11.91 (Y1) = 88.01/11.91 (Y2)))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) <=> 88.01/11.91 (Y1 @ Y3))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y2) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (Y0 @ 88.01/11.91 Y3) => 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (Y1 @ 88.01/11.91 Y2) & 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (Y1 @ 88.01/11.91 Y3) => 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y3))))))))))))) => 88.01/11.91 (( 88.01/11.91 (descr @ 88.01/11.91 Y0) = 88.01/11.91 (descr @ 88.01/11.91 Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $i > $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y4 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y4 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y5 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y5 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y4) = 88.01/11.91 (Y5))) => 88.01/11.91 (( 88.01/11.91 (Y2 @ 88.01/11.91 Y4) <=> 88.01/11.91 (Y3 @ Y5))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (dsetconstr @ 88.01/11.91 Y0 @ 88.01/11.91 Y2) = 88.01/11.91 (dsetconstr @ 88.01/11.91 Y1 @ Y3))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (subset @ 88.01/11.91 Y1 @ Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (subset @ 88.01/11.91 emptyset @ 88.01/11.91 Y0)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 subset @ 88.01/11.91 Y0 @ Y1)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 subset @ 88.01/11.91 Y0 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (Y0) != 88.01/11.91 (Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (Y0) != 88.01/11.91 (Y1)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y0)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y2) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y2)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y2) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y1)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (Y1))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) => 88.01/11.91 (( 88.01/11.91 (Y0) = 88.01/11.91 (emptyset)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0)) => 88.01/11.91 (subset @ 88.01/11.91 Y1 @ Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y0 @ 88.01/11.91 (powerset @ 88.01/11.91 Y0))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y1)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (in @ 88.01/11.91 (dsetconstr @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 (powerset @ 88.01/11.91 Y0)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i > $o]: 88.01/11.91 (subset @ 88.01/11.91 (dsetconstr @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y0))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $o]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (Y3))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (Y3))) => 88.01/11.91 (Y3))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) | 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y0)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 (binunion @ 88.01/11.91 Y0 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 (binunion @ 88.01/11.91 Y0 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (subset @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y0)))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y0))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y0))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y1))) => 88.01/11.91 (subset @ 88.01/11.91 Y1 @ Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 ( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) & 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))) => 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y1))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y1))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (Y0))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (binintersect @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y1 @ Y2)) = 88.01/11.91 (binunion @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 ( 88.01/11.91 binintersect @ 88.01/11.91 Y0 @ Y2))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y0)))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (subset @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1)))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setminus @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (subset @ 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ Y1) @ 88.01/11.91 Y0))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (setminus @ 88.01/11.91 Y0 @ 88.01/11.91 Y1) = 88.01/11.91 (emptyset))) => 88.01/11.91 (subset @ 88.01/11.91 Y0 @ Y1))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1)) => 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y3 : $o]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (Y3))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (Y3))))) => 88.01/11.91 (Y3))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y1) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y0))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ Y1))) => 88.01/11.91 (( 88.01/11.91 (~) @ ( 88.01/11.91 in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 symdiff @ 88.01/11.91 Y0 @ Y1))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y0 @ 88.01/11.91 (setunion @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 (setunion @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 (setadjoin @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 (setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (??) @ ( 88.01/11.91 ^[Y3 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y3 @ 88.01/11.91 ( 88.01/11.91 setunion @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))) & 88.01/11.91 (( 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)) = 88.01/11.91 (setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y3 @ 88.01/11.91 emptyset)) @ 88.01/11.91 emptyset)))))))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (subset @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset) @ 88.01/11.91 Y0))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y1 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 Y0)))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 Y0) => 88.01/11.91 (in @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y2 @ 88.01/11.91 emptyset) @ 88.01/11.91 ( 88.01/11.91 powerset @ 88.01/11.91 ( 88.01/11.91 binunion @ 88.01/11.91 Y0 @ Y1)))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y2 : $i]: 88.01/11.91 (( 88.01/11.91 (in @ 88.01/11.91 Y2 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y0 @ 88.01/11.91 ( 88.01/11.91 setadjoin @ 88.01/11.91 Y1 @ 88.01/11.91 emptyset))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y1))) | 88.01/11.91 (( 88.01/11.91 (Y2) = 88.01/11.91 (Y0)))))))))))))))) => 88.01/11.91 (( 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y0 : $i]: 88.01/11.91 (( 88.01/11.91 (!!) @ ( 88.01/11.91 ^[Y1 : $i]: 88.01/11.91 (( 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(((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (((( 88.44/11.92 (~) @ ( 88.44/11.92 ((!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (Y1 @ Y2)))))))) => 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) & 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 Y1 @ Y2)))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.92 (((((??) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (Y0 @ Y1)))) => 88.44/11.92 (((( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2))))))))))))) => 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2)))))))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.92 (((( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) <=> 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y1))))))))))) => 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2)))))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y3 @ Y1))))))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) <=> 88.44/11.92 (in @ 88.44/11.92 Y3 @ Y1))))))))))))))))))) => 88.44/11.92 (((((!!) @ ( 88.44/11.92 ^[Y0 : $i > $o]: 88.44/11.92 (((((??) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2))))))))))))) => 88.44/11.92 (((!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2)))))))))))))))))) => 88.44/11.92 (((((!!) @ ( 88.44/11.92 ^[Y0 : $i > $o]: 88.44/11.92 (((!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) <=> 88.44/11.92 (Y1 @ Y3))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y3) => 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))))))))))))) <=> 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y1 @ 88.44/11.92 Y2) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (Y1 @ 88.44/11.92 Y3) => 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))))))))))))))))))))))) => 88.44/11.92 (((((!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 Y2) = 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ Y3))))))))))))))))))) => 88.44/11.92 (((((!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (powerset @ 88.44/11.92 Y0) = 88.44/11.92 (powerset @ 88.44/11.92 Y1))))))))))) => 88.44/11.92 (((( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (setunion @ 88.44/11.92 Y0) = 88.44/11.92 (setunion @ 88.44/11.92 Y1))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2))))))))))))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2)))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) <=> 88.44/11.92 (Y1 @ Y3))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y3) => 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y1 @ 88.44/11.92 Y2) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (Y1 @ 88.44/11.92 Y3) => 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))))))))))))) => 88.44/11.92 (( 88.44/11.92 (descr @ 88.44/11.92 Y0) = 88.44/11.92 (descr @ 88.44/11.92 Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y4 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y4 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y5 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y5 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y4) = 88.44/11.92 (Y5))) => 88.44/11.92 (( 88.44/11.92 (Y2 @ 88.44/11.92 Y4) <=> 88.44/11.92 (Y3 @ Y5))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (dsetconstr @ 88.44/11.92 Y0 @ 88.44/11.92 Y2) = 88.44/11.92 (dsetconstr @ 88.44/11.92 Y1 @ Y3))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (subset @ 88.44/11.92 Y1 @ Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (subset @ 88.44/11.92 emptyset @ 88.44/11.92 Y0)))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 subset @ 88.44/11.92 Y0 @ Y1)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 subset @ 88.44/11.92 Y0 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (Y0) != 88.44/11.92 (Y1))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (Y0) != 88.44/11.92 (Y1)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y0)))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y2) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y2)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ Y2))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y1)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) => 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (emptyset)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0)) => 88.44/11.92 (subset @ 88.44/11.92 Y1 @ Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y0 @ 88.44/11.92 (powerset @ 88.44/11.92 Y0))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y1)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (in @ 88.44/11.92 (dsetconstr @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 (powerset @ 88.44/11.92 Y0)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (subset @ 88.44/11.92 (dsetconstr @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y0))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $o]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (Y3))) => 88.44/11.92 (Y3))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) | 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y0)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 (binunion @ 88.44/11.92 Y0 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 (binunion @ 88.44/11.92 Y0 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y0)))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y0))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y0))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y1))) => 88.44/11.92 (subset @ 88.44/11.92 Y1 @ Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 ( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) & 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (emptyset))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y1))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y1))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y0))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y1 @ Y2)) = 88.44/11.92 (binunion @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y2))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y0)))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (setminus @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (emptyset))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 (setminus @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y0))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (setminus @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (emptyset))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (Y3))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (Y3))))) => 88.44/11.92 (Y3))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y0 @ 88.44/11.92 (setunion @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 (setunion @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) = 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) = 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset) @ 88.44/11.92 Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y1))) | 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y0)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 dsetconstr @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))) @ 88.44/11.92 ( 88.44/11.92 ^[Y4 : $i]: 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@ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (setunion @ 88.44/11.92 Y0) = 88.44/11.92 (setunion @ 88.44/11.92 Y1))))))))))) => 88.44/11.92 (((( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2))))))))))))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (( 88.44/11.92 (Y1) = 88.44/11.92 (Y2)))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) <=> 88.44/11.92 (Y1 @ Y3))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y2) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (Y0 @ 88.44/11.92 Y3) => 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (Y1 @ 88.44/11.92 Y2) & 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (Y1 @ 88.44/11.92 Y3) => 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y3))))))))))))) => 88.44/11.92 (( 88.44/11.92 (descr @ 88.44/11.92 Y0) = 88.44/11.92 (descr @ 88.44/11.92 Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i > $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y4 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y4 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y5 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y5 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y4) = 88.44/11.92 (Y5))) => 88.44/11.92 (( 88.44/11.92 (Y2 @ 88.44/11.92 Y4) <=> 88.44/11.92 (Y3 @ Y5))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (dsetconstr @ 88.44/11.92 Y0 @ 88.44/11.92 Y2) = 88.44/11.92 (dsetconstr @ 88.44/11.92 Y1 @ Y3))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (subset @ 88.44/11.92 Y1 @ Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (subset @ 88.44/11.92 emptyset @ 88.44/11.92 Y0)))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 subset @ 88.44/11.92 Y0 @ Y1)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 subset @ 88.44/11.92 Y0 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (Y0) != 88.44/11.92 (Y1))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (Y0) != 88.44/11.92 (Y1)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y0)))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y2) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y2)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y2) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ Y2))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y1)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (Y1))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) => 88.44/11.92 (( 88.44/11.92 (Y0) = 88.44/11.92 (emptyset)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0)) => 88.44/11.92 (subset @ 88.44/11.92 Y1 @ Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y0 @ 88.44/11.92 (powerset @ 88.44/11.92 Y0))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y1)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (in @ 88.44/11.92 (dsetconstr @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 (powerset @ 88.44/11.92 Y0)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i > $o]: 88.44/11.92 (subset @ 88.44/11.92 (dsetconstr @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y0))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $o]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (Y3))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (Y3))) => 88.44/11.92 (Y3))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) | 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y0)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 (binunion @ 88.44/11.92 Y0 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 (binunion @ 88.44/11.92 Y0 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y0)))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y0))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y0))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y1))) => 88.44/11.92 (subset @ 88.44/11.92 Y1 @ Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 ( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) & 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))) => 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (emptyset))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y1))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y1))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (Y0))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (binintersect @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y1 @ Y2)) = 88.44/11.92 (binunion @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 ( 88.44/11.92 binintersect @ 88.44/11.92 Y0 @ Y2))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y0)))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (subset @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (setminus @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (emptyset))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1)))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setminus @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (subset @ 88.44/11.92 (setminus @ 88.44/11.92 Y0 @ Y1) @ 88.44/11.92 Y0))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (setminus @ 88.44/11.92 Y0 @ 88.44/11.92 Y1) = 88.44/11.92 (emptyset))) => 88.44/11.92 (subset @ 88.44/11.92 Y0 @ Y1))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1)) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $o]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (Y3))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (Y3))))) => 88.44/11.92 (Y3))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y1) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y0))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ Y1))) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 symdiff @ 88.44/11.92 Y0 @ Y1))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y0 @ 88.44/11.92 (setunion @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 (setunion @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 (setadjoin @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) = 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 ( 88.44/11.92 setunion @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))) & 88.44/11.92 (( 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) = 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset) @ 88.44/11.92 Y0))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y1 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 Y0)))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y0 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y1 @ 88.44/11.92 emptyset))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y1))) | 88.44/11.92 (( 88.44/11.92 (Y2) = 88.44/11.92 (Y0)))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (subset @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1)))))))))))))))))))) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y0 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y1 : $i]: 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (!!) @ ( 88.44/11.92 ^[Y3 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y3 @ 88.44/11.92 Y1) => 88.44/11.92 (in @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y2 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y3 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)) @ 88.44/11.92 ( 88.44/11.92 dsetconstr @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 powerset @ 88.44/11.92 ( 88.44/11.92 binunion @ 88.44/11.92 Y0 @ Y1))) @ 88.44/11.92 ( 88.44/11.92 ^[Y4 : $i]: 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y5 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y5 @ 88.44/11.92 Y0) & 88.44/11.92 (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y6 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y6 @ 88.44/11.92 Y1) & 88.44/11.92 (( 88.44/11.92 (Y4) = 88.44/11.92 (setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y5 @ 88.44/11.92 emptyset) @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y5 @ 88.44/11.92 ( 88.44/11.92 setadjoin @ 88.44/11.92 Y6 @ 88.44/11.92 emptyset)) @ 88.44/11.92 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.44/11.92 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl300])). 88.44/11.92 thf(zip_derived_cl316, plain, 88.44/11.92 (~ (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.92 (((((??) @ (^[Y1 : $i]: 88.44/11.92 (((Y0 @ Y1) & 88.44/11.92 (((!!) @ (^[Y2 : $i]: 88.44/11.92 (((Y0 @ Y2) => 88.44/11.92 (((Y1) = (Y2))))))))))))) => 88.44/11.92 (((??) @ (^[Y1 : $i]: 88.44/11.92 (((!!) @ (^[Y2 : $i]: 88.44/11.92 (((Y0 @ Y2) <=> 88.44/11.92 (((Y2) = (Y1)))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((((Y0) != (emptyset))) => 88.44/11.92 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (((in @ Y0 @ 88.44/11.92 (setadjoin @ Y1 @ emptyset)) => 88.44/11.92 (((Y0) = (Y1))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (((((Y0) != (Y1))) => 88.44/11.92 (((~) @ (in @ Y1 @ 88.44/11.92 (setadjoin @ Y0 @ emptyset)))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (((((Y0) = (Y1))) => (in @ Y0 @ 88.44/11.92 (setadjoin @ Y1 @ emptyset)))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (((in @ Y0 @ 88.44/11.92 (setadjoin @ Y1 @ emptyset)) => 88.44/11.92 (in @ Y1 @ 88.44/11.92 (setadjoin @ Y0 @ emptyset)))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (((!!) @ (^[Y2 : $i]: 88.44/11.92 (((in @ Y2 @ 88.44/11.92 (setadjoin @ Y0 @ 88.44/11.92 (setadjoin @ 88.44/11.92 Y1 @ emptyset))) => 88.44/11.92 (((((Y2) = (Y1))) | 88.44/11.92 (((Y2) = (Y0)))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (in @ Y0 @ 88.44/11.92 (setadjoin @ Y0 @ 88.44/11.92 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (in @ Y1 @ 88.44/11.92 (setadjoin @ Y0 @ 88.44/11.92 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.92 (((((??) @ (^[Y2 : $i]: 88.44/11.92 (((in @ 88.44/11.92 Y2 @ Y0) & 88.44/11.92 (Y1 @ Y2)))))) => 88.44/11.92 (((dsetconstr @ Y0 @ 88.44/11.92 Y1) != (emptyset))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.92 (((!!) @ (^[Y1 : $i]: 88.44/11.92 (((in @ Y1 @ 88.44/11.92 emptyset) => (Y0 @ Y1))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.92 (((((~) @ (((!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (Y1 @ Y2)))))))) => 88.44/11.92 (((??) @ (^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) & 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 Y1 @ Y2)))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.92 (((((!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (((in @ Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (((~) @ ( 88.44/11.92 Y1 @ Y2)))))))) => 88.44/11.92 (((~) @ (( 88.44/11.92 (??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) & 88.44/11.92 (Y1 @ Y2)))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.92 (((((~) @ ( 88.44/11.92 ((??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (((in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) & 88.44/11.92 (Y1 @ Y2)))))))) => 88.44/11.92 (((!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (((in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 Y1 @ Y2)))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.92 (((((??) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 (( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) & 88.44/11.92 (( 88.44/11.92 (~) @ ( 88.44/11.92 Y1 @ Y2)))))))) => 88.44/11.92 (((~) @ ( 88.44/11.92 ((!!) @ ( 88.44/11.92 ^[Y2 : $i]: 88.44/11.92 ( 88.44/11.92 ( 88.44/11.92 (in @ 88.44/11.92 Y2 @ 88.44/11.92 Y0) => 88.44/11.92 (Y1 @ Y2)))))))))))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $o]: 88.44/11.92 (((Y0) => (in @ 88.44/11.92 emptyset @ 88.44/11.92 (prop2set @ Y0))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $o]: 88.44/11.92 (((Y0) => (set2prop @ 88.44/11.92 (prop2set @ Y0))))))) => 88.44/11.92 (((((!!) @ (^[Y0 : $i]: 88.44/11.92 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 ( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 ( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (Y0 @ Y1)))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y3 @ Y1))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) <=> 88.44/11.93 (in @ 88.44/11.93 Y3 @ Y1))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (Y1 @ Y3))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) <=> 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) = 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ Y3))))))))))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (powerset @ 88.44/11.93 Y0) = 88.44/11.93 (powerset @ 88.44/11.93 Y1))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (setunion @ 88.44/11.93 Y0) = 88.44/11.93 (setunion @ 88.44/11.93 Y1))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (Y1 @ Y3))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) => 88.44/11.93 (( 88.44/11.93 (descr @ 88.44/11.93 Y0) = 88.44/11.93 (descr @ 88.44/11.93 Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y4 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y4 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y5 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y5 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y4) = 88.44/11.93 (Y5))) => 88.44/11.93 (( 88.44/11.93 (Y2 @ 88.44/11.93 Y4) <=> 88.44/11.93 (Y3 @ Y5))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) = 88.44/11.93 (dsetconstr @ 88.44/11.93 Y1 @ Y3))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (subset @ 88.44/11.93 emptyset @ 88.44/11.93 Y0)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 subset @ 88.44/11.93 Y0 @ Y1)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 subset @ 88.44/11.93 Y0 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (Y0) != 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (Y0) != 88.44/11.93 (Y1)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y0)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y2) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y2)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y1)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) => 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (emptyset)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 (powerset @ 88.44/11.93 Y0))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y1)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (in @ 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 (powerset @ 88.44/11.93 Y0)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (subset @ 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $o]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (Y3))) => 88.44/11.93 (Y3))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) | 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 (binunion @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 (binunion @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y0))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 ( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (emptyset))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y1))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y0))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y1 @ Y2)) = 88.44/11.93 (binunion @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (setminus @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (emptyset))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (setminus @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (setminus @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (emptyset))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (Y3))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (Y3))))) => 88.44/11.93 (Y3))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 (setunion @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 (setunion @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) = 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) = 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset) @ 88.44/11.93 Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y1))) | 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y0)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 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emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.44/11.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl307])). 88.44/11.93 thf(zip_derived_cl324, plain, 88.44/11.93 (~ (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((((Y0) != (emptyset))) => 88.44/11.93 (((??) @ (^[Y1 : $i]: (in @ Y1 @ Y0))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((in @ Y0 @ 88.44/11.93 (setadjoin @ Y1 @ emptyset)) => 88.44/11.93 (((Y0) = (Y1))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((((Y0) != (Y1))) => 88.44/11.93 (((~) @ (in @ Y1 @ 88.44/11.93 (setadjoin @ Y0 @ emptyset)))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((((Y0) = (Y1))) => (in @ Y0 @ 88.44/11.93 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^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((~) @ (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (((in @ Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (((~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (((in @ 88.44/11.93 Y2 @ Y0) & 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))) => 88.44/11.93 (((~) @ ( 88.44/11.93 ((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (((in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $o]: 88.44/11.93 (((Y0) => (in @ emptyset @ 88.44/11.93 (prop2set @ Y0))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $o]: 88.44/11.93 (((Y0) => (set2prop @ 88.44/11.93 (prop2set @ Y0))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((( 88.44/11.93 (~) @ ( 88.44/11.93 ((??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 ( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (Y0 @ Y1)))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y3 @ Y1))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) <=> 88.44/11.93 (in @ 88.44/11.93 Y3 @ Y1))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (Y1 @ Y3))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) <=> 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) = 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ Y3))))))))))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (powerset @ 88.44/11.93 Y0) = 88.44/11.93 (powerset @ 88.44/11.93 Y1))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (setunion @ 88.44/11.93 Y0) = 88.44/11.93 (setunion @ 88.44/11.93 Y1))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (Y1 @ Y3))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) => 88.44/11.93 (( 88.44/11.93 (descr @ 88.44/11.93 Y0) = 88.44/11.93 (descr @ 88.44/11.93 Y1))))))))))))))) => 88.44/11.93 (((( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y4 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y4 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y5 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y5 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y4) = 88.44/11.93 (Y5))) => 88.44/11.93 (( 88.44/11.93 (Y2 @ 88.44/11.93 Y4) <=> 88.44/11.93 (Y3 @ Y5))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) = 88.44/11.93 (dsetconstr @ 88.44/11.93 Y1 @ Y3))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (subset @ 88.44/11.93 emptyset @ 88.44/11.93 Y0)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 subset @ 88.44/11.93 Y0 @ Y1)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 subset @ 88.44/11.93 Y0 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (Y0) != 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (Y0) != 88.44/11.93 (Y1)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y0)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y2) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y2)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y1)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) => 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (emptyset)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 (powerset @ 88.44/11.93 Y0))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y1)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (in @ 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 (powerset @ 88.44/11.93 Y0)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (subset @ 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $o]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (Y3))) => 88.44/11.93 (Y3))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) | 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 (binunion @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 (binunion @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y0))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 ( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (emptyset))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y1))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y0))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y1 @ Y2)) = 88.44/11.93 (binunion @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (setminus @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (emptyset))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setminus @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (setminus @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (setminus @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (emptyset))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (Y3))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (Y3))))) => 88.44/11.93 (Y3))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 symdiff @ 88.44/11.93 Y0 @ Y1))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 (setunion @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 (setunion @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 (setadjoin @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) = 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 ( 88.44/11.93 setunion @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))) & 88.44/11.93 (( 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) = 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset) @ 88.44/11.93 Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y1))) | 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y0)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y3 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y3 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)) @ 88.44/11.93 ( 88.44/11.93 dsetconstr @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))) @ 88.44/11.93 ( 88.44/11.93 ^[Y4 : $i]: 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y5 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y5 @ 88.44/11.93 Y0) & 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y6 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y6 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (Y4) = 88.44/11.93 (setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y5 @ 88.44/11.93 emptyset) @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y5 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y6 @ 88.44/11.93 emptyset)) @ 88.44/11.93 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.44/11.93 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl316])). 88.44/11.93 thf(zip_derived_cl331, plain, 88.44/11.93 (~ (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => 88.44/11.93 (((Y0) = (Y1))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((((Y0) != (Y1))) => 88.44/11.93 (((~) @ (in @ Y1 @ 88.44/11.93 (setadjoin @ Y0 @ emptyset)))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((((Y0) = (Y1))) => (in @ Y0 @ 88.44/11.93 (setadjoin @ Y1 @ emptyset)))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((in @ Y0 @ 88.44/11.93 (setadjoin @ Y1 @ emptyset)) => 88.44/11.93 (in @ Y1 @ 88.44/11.93 (setadjoin @ Y0 @ emptyset)))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((!!) @ (^[Y2 : $i]: 88.44/11.93 (((in @ Y2 @ 88.44/11.93 (setadjoin @ Y0 @ 88.44/11.93 (setadjoin @ Y1 @ 88.44/11.93 emptyset))) => 88.44/11.93 (((((Y2) = (Y1))) | 88.44/11.93 (((Y2) = (Y0)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (in @ Y0 @ 88.44/11.93 (setadjoin @ Y0 @ 88.44/11.93 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (in @ Y1 @ 88.44/11.93 (setadjoin @ Y0 @ 88.44/11.93 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((??) @ (^[Y2 : $i]: 88.44/11.93 (((in @ Y2 @ 88.44/11.93 Y0) & (Y1 @ 88.44/11.93 Y2)))))) => 88.44/11.93 (((dsetconstr @ Y0 @ Y1) != 88.44/11.93 (emptyset))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((!!) @ (^[Y1 : $i]: 88.44/11.93 (((in @ Y1 @ emptyset) => 88.44/11.93 (Y0 @ Y1))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((~) @ (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (((in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (((??) @ (^[Y2 : $i]: 88.44/11.93 (((in @ 88.44/11.93 Y2 @ Y0) & 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((!!) @ (^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))) => 88.44/11.93 (((~) @ (((??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((~) @ (((??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (((!!) @ (^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (((in @ Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (((~) @ ( 88.44/11.93 Y1 @ Y2)))))))) => 88.44/11.93 (((~) @ (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $o]: 88.44/11.93 (((Y0) => (in @ emptyset @ 88.44/11.93 (prop2set @ Y0))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $o]: 88.44/11.93 (((Y0) => (set2prop @ 88.44/11.93 (prop2set @ Y0))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((((~) @ ( 88.44/11.93 ((??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.93 (((( 88.44/11.93 (~) @ ( 88.44/11.93 ((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y1 @ Y2)))))))) => 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 Y1 @ Y2)))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((((??) @ (^[Y1 : $i]: 88.44/11.93 (Y0 @ Y1)))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((Y0 @ Y1) & 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((Y0 @ Y1) & 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((((Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y3 @ Y1))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (((( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) <=> 88.44/11.93 (in @ 88.44/11.93 Y3 @ Y1))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((((??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (Y1 @ Y3))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) <=> 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) = 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ Y3))))))))))))))))))) => 88.44/11.93 (((((!!) @ (^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (powerset @ 88.44/11.93 Y0) = 88.44/11.93 (powerset @ 88.44/11.93 Y1))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (((!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (setunion @ 88.44/11.93 Y0) = 88.44/11.93 (setunion @ 88.44/11.93 Y1))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i > $o]: 88.44/11.93 (((( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (( 88.44/11.93 (Y1) = 88.44/11.93 (Y2)))))))))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) <=> 88.44/11.93 (Y1 @ Y3))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y0 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y2) & 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i]: 88.44/11.93 (( 88.44/11.93 (Y1 @ 88.44/11.93 Y3) => 88.44/11.93 (( 88.44/11.93 (Y2) = 88.44/11.93 (Y3))))))))))))) => 88.44/11.93 (( 88.44/11.93 (descr @ 88.44/11.93 Y0) = 88.44/11.93 (descr @ 88.44/11.93 Y1))))))))))))))) => 88.44/11.93 (((((!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $i > $o]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y4 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y4 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y5 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y5 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y4) = 88.44/11.93 (Y5))) => 88.44/11.93 (( 88.44/11.93 (Y2 @ 88.44/11.93 Y4) <=> 88.44/11.93 (Y3 @ Y5))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) = 88.44/11.93 (dsetconstr @ 88.44/11.93 Y1 @ Y3))))))))))))))))))) => 88.44/11.93 (((( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (subset @ 88.44/11.93 emptyset @ 88.44/11.93 Y0)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y0)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 subset @ 88.44/11.93 Y0 @ Y1)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 subset @ 88.44/11.93 Y0 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (Y0) != 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 in @ 88.44/11.93 Y2 @ Y1))) => 88.44/11.93 (( 88.44/11.93 (Y0) != 88.44/11.93 (Y1)))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y0)))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y2) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y2)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y2) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 setadjoin @ 88.44/11.93 Y1 @ Y2))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y1)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 emptyset) => 88.44/11.93 (( 88.44/11.93 (Y0) = 88.44/11.93 (emptyset)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0)) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y0 @ 88.44/11.93 (powerset @ 88.44/11.93 Y0))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y0) @ 88.44/11.93 ( 88.44/11.93 powerset @ 88.44/11.93 Y1)))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (in @ 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 (powerset @ 88.44/11.93 Y0)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i > $o]: 88.44/11.93 (subset @ 88.44/11.93 (dsetconstr @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (in @ 88.44/11.93 Y1 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y0 @ 88.44/11.93 (setadjoin @ 88.44/11.93 Y1 @ 88.44/11.93 emptyset))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y3 : $o]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (Y3))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (Y3))) => 88.44/11.93 (Y3))))))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binunion @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) | 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 (binunion @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 (binunion @ 88.44/11.93 Y0 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 Y1) => 88.44/11.93 (subset @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1))))))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y0)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y0))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y0))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y1))) => 88.44/11.93 (subset @ 88.44/11.93 Y1 @ Y0))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 ( 88.44/11.93 binintersect @ 88.44/11.93 Y0 @ Y1)) => 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (~) @ ( 88.44/11.93 ( 88.44/11.93 (??) @ ( 88.44/11.93 ^[Y2 : $i]: 88.44/11.93 (( 88.44/11.93 (in @ 88.44/11.93 Y2 @ 88.44/11.93 Y0) & 88.44/11.93 (in @ 88.44/11.93 Y2 @ Y1)))))))) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (emptyset))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (subset @ 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ Y1) @ 88.44/11.93 Y1))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (subset @ 88.44/11.93 Y1 @ 88.44/11.93 Y0) => 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y1))))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y0 : $i]: 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.93 ^[Y1 : $i]: 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (binintersect @ 88.44/11.93 Y0 @ 88.44/11.93 Y1) = 88.44/11.93 (Y0))) => 88.44/11.93 (subset @ 88.44/11.93 Y0 @ Y1))))))))) => 88.44/11.93 (( 88.44/11.93 (( 88.44/11.93 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y1 @ Y2)) = 88.44/11.94 (binunion @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y2))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y0)))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y0))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (Y3))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (Y3))))) => 88.44/11.94 (Y3))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y0 @ 88.44/11.94 (setunion @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setunion @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) = 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) = 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset) @ 88.44/11.94 Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y1))) | 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 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(( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) <=> 88.44/11.94 (in @ 88.44/11.94 Y3 @ Y1))))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.94 (((((??) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2))))))))))))) => 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2)))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) <=> 88.44/11.94 (Y1 @ Y3))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))) <=> 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 Y2) = 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ Y3))))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (powerset @ 88.44/11.94 Y0) = 88.44/11.94 (powerset @ 88.44/11.94 Y1))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (setunion @ 88.44/11.94 Y0) = 88.44/11.94 (setunion @ 88.44/11.94 Y1))))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i > $o]: 88.44/11.94 (((((??) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2))))))))))))) => 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2)))))))))))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i > $o]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) <=> 88.44/11.94 (Y1 @ Y3))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))) => 88.44/11.94 (( 88.44/11.94 (descr @ 88.44/11.94 Y0) = 88.44/11.94 (descr @ 88.44/11.94 Y1))))))))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y4 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y4 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y5 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y5 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y4) = 88.44/11.94 (Y5))) => 88.44/11.94 (( 88.44/11.94 (Y2 @ 88.44/11.94 Y4) <=> 88.44/11.94 (Y3 @ Y5))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (dsetconstr @ 88.44/11.94 Y0 @ 88.44/11.94 Y2) = 88.44/11.94 (dsetconstr @ 88.44/11.94 Y1 @ Y3))))))))))))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (((( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (subset @ 88.44/11.94 Y1 @ Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (subset @ 88.44/11.94 emptyset @ 88.44/11.94 Y0)))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 subset @ 88.44/11.94 Y0 @ Y1)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 subset @ 88.44/11.94 Y0 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (Y0) != 88.44/11.94 (Y1))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (Y0) != 88.44/11.94 (Y1)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y0)))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y2) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y2)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ Y2))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y1)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) => 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (emptyset)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0)) => 88.44/11.94 (subset @ 88.44/11.94 Y1 @ Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y0 @ 88.44/11.94 (powerset @ 88.44/11.94 Y0))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y1)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (in @ 88.44/11.94 (dsetconstr @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 (powerset @ 88.44/11.94 Y0)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (subset @ 88.44/11.94 (dsetconstr @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y0))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $o]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (Y3))) => 88.44/11.94 (Y3))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) | 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y0)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 (binunion @ 88.44/11.94 Y0 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 (binunion @ 88.44/11.94 Y0 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y0)))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y0))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y0))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y1))) => 88.44/11.94 (subset @ 88.44/11.94 Y1 @ Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 ( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) & 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y1))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y1))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y0))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y1 @ Y2)) = 88.44/11.94 (binunion @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y2))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y0)))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y0))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (Y3))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (Y3))))) => 88.44/11.94 (Y3))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y0 @ 88.44/11.94 (setunion @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setunion @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) = 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) = 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset) @ 88.44/11.94 Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y1))) | 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) @ 88.44/11.94 ( 88.44/11.94 dsetconstr @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1))) @ 88.44/11.94 ( 88.44/11.94 ^[Y4 : $i]: 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y5 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y5 @ 88.44/11.94 Y0) & 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y6 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y6 @ 88.44/11.94 Y1) & 88.44/11.94 (( 88.44/11.94 (Y4) = 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y5 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y5 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y6 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.44/11.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl331])). 88.44/11.94 thf(zip_derived_cl343, plain, 88.44/11.94 (~ (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (((((Y0) = (Y1))) => (in @ Y0 @ 88.44/11.94 (setadjoin @ Y1 @ emptyset)))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (((in @ Y0 @ 88.44/11.94 (setadjoin @ Y1 @ emptyset)) => (in @ 88.44/11.94 Y1 @ (setadjoin @ Y0 @ emptyset)))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (((!!) @ (^[Y2 : $i]: 88.44/11.94 (((in @ Y2 @ 88.44/11.94 (setadjoin @ Y0 @ 88.44/11.94 (setadjoin @ Y1 @ 88.44/11.94 emptyset))) => 88.44/11.94 (((((Y2) = (Y1))) | 88.44/11.94 (((Y2) = (Y0)))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (in @ Y0 @ 88.44/11.94 (setadjoin @ Y0 @ 88.44/11.94 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (in @ Y1 @ 88.44/11.94 (setadjoin @ Y0 @ 88.44/11.94 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.94 (((((??) @ (^[Y2 : $i]: 88.44/11.94 (((in @ Y2 @ Y0) & 88.44/11.94 (Y1 @ Y2)))))) => 88.44/11.94 (((dsetconstr @ Y0 @ Y1) != 88.44/11.94 (emptyset))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (((in @ Y1 @ emptyset) => (Y0 @ 88.44/11.94 Y1))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.94 (((((~) @ (((!!) @ (^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (Y1 @ Y2)))))))) => 88.44/11.94 (((??) @ (^[Y2 : $i]: 88.44/11.94 (((in @ Y2 @ 88.44/11.94 Y0) & 88.44/11.94 (((~) @ ( 88.44/11.94 Y1 @ Y2)))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.94 (((((!!) @ (^[Y2 : $i]: 88.44/11.94 (((in @ Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (((~) @ ( 88.44/11.94 Y1 @ Y2)))))))) => 88.44/11.94 (((~) @ (((??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (((in @ Y2 @ 88.44/11.94 Y0) & (Y1 @ 88.44/11.94 Y2)))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.94 (((((~) @ (((??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (((in @ 88.44/11.94 Y2 @ Y0) & 88.44/11.94 (Y1 @ Y2)))))))) => 88.44/11.94 (((!!) @ (^[Y2 : $i]: 88.44/11.94 (((in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 Y1 @ Y2)))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.94 (((((??) @ (^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) & 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 Y1 @ Y2)))))))) => 88.44/11.94 (((~) @ (((!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (Y1 @ Y2)))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $o]: 88.44/11.94 (((Y0) => (in @ emptyset @ 88.44/11.94 (prop2set @ Y0))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $o]: 88.44/11.94 (((Y0) => (set2prop @ 88.44/11.94 (prop2set @ Y0))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.94 (((((~) @ ( 88.44/11.94 ((??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (((in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) & 88.44/11.94 (Y1 @ Y2)))))))) => 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (((in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 Y1 @ Y2)))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.94 (((((~) @ ( 88.44/11.94 ((!!) @ 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$i > $o]: 88.44/11.94 (((((??) @ (^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) <=> 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y1))))))))))) => 88.44/11.94 (((??) @ (^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2)))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y3 @ Y1))))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) <=> 88.44/11.94 (in @ 88.44/11.94 Y3 @ Y1))))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.94 (((((??) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (((Y0 @ 88.44/11.94 Y1) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2))))))))))))) => 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2)))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (((( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) <=> 88.44/11.94 (Y1 @ Y3))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))) <=> 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 Y2) = 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ Y3))))))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (powerset @ 88.44/11.94 Y0) = 88.44/11.94 (powerset @ 88.44/11.94 Y1))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (setunion @ 88.44/11.94 Y0) = 88.44/11.94 (setunion @ 88.44/11.94 Y1))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2))))))))))))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (( 88.44/11.94 (Y1) = 88.44/11.94 (Y2)))))))))))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i > $o]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) <=> 88.44/11.94 (Y1 @ Y3))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y0 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y2) & 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (Y1 @ 88.44/11.94 Y3) => 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y3))))))))))))) => 88.44/11.94 (( 88.44/11.94 (descr @ 88.44/11.94 Y0) = 88.44/11.94 (descr @ 88.44/11.94 Y1))))))))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (((!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i > $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y4 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y4 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y5 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y5 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y4) = 88.44/11.94 (Y5))) => 88.44/11.94 (( 88.44/11.94 (Y2 @ 88.44/11.94 Y4) <=> 88.44/11.94 (Y3 @ Y5))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (dsetconstr @ 88.44/11.94 Y0 @ 88.44/11.94 Y2) = 88.44/11.94 (dsetconstr @ 88.44/11.94 Y1 @ Y3))))))))))))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (((((!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (subset @ 88.44/11.94 Y1 @ Y0))))))))) => 88.44/11.94 (((( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (subset @ 88.44/11.94 emptyset @ 88.44/11.94 Y0)))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 subset @ 88.44/11.94 Y0 @ Y1)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 subset @ 88.44/11.94 Y0 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (Y0) != 88.44/11.94 (Y1))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (Y0) != 88.44/11.94 (Y1)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y0)))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y2) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y2)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y2) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ Y2))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y1)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (Y1))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) => 88.44/11.94 (( 88.44/11.94 (Y0) = 88.44/11.94 (emptyset)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0)) => 88.44/11.94 (subset @ 88.44/11.94 Y1 @ Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y0 @ 88.44/11.94 (powerset @ 88.44/11.94 Y0))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y1)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (in @ 88.44/11.94 (dsetconstr @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 (powerset @ 88.44/11.94 Y0)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i > $o]: 88.44/11.94 (subset @ 88.44/11.94 (dsetconstr @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y0))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $o]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (Y3))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (Y3))) => 88.44/11.94 (Y3))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) | 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y0)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 (binunion @ 88.44/11.94 Y0 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 (binunion @ 88.44/11.94 Y0 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y0)))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y0))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y0))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y1))) => 88.44/11.94 (subset @ 88.44/11.94 Y1 @ Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 ( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) & 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))) => 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y1))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y1))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (Y0))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (binintersect @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y1 @ Y2)) = 88.44/11.94 (binunion @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 ( 88.44/11.94 binintersect @ 88.44/11.94 Y0 @ Y2))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y0)))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (subset @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1)))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setminus @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (subset @ 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ Y1) @ 88.44/11.94 Y0))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (setminus @ 88.44/11.94 Y0 @ 88.44/11.94 Y1) = 88.44/11.94 (emptyset))) => 88.44/11.94 (subset @ 88.44/11.94 Y0 @ Y1))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1)) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $o]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (Y3))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (Y3))))) => 88.44/11.94 (Y3))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y1) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y0))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ Y1))) => 88.44/11.94 (( 88.44/11.94 (~) @ ( 88.44/11.94 in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 symdiff @ 88.44/11.94 Y0 @ Y1))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y0 @ 88.44/11.94 (setunion @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 (setunion @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 (setadjoin @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 (setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) = 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (??) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 ( 88.44/11.94 setunion @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))) & 88.44/11.94 (( 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)) = 88.44/11.94 (setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y3 @ 88.44/11.94 emptyset)) @ 88.44/11.94 emptyset)))))))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset) @ 88.44/11.94 Y0))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y1 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 Y0)))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (in @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 emptyset) @ 88.44/11.94 ( 88.44/11.94 powerset @ 88.44/11.94 ( 88.44/11.94 binunion @ 88.44/11.94 Y0 @ Y1)))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y0 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y1 @ 88.44/11.94 emptyset))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y1))) | 88.44/11.94 (( 88.44/11.94 (Y2) = 88.44/11.94 (Y0)))))))))))))))) => 88.44/11.94 (( 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y0 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y1 : $i]: 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y2 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y2 @ 88.44/11.94 Y0) => 88.44/11.94 (( 88.44/11.94 (!!) @ ( 88.44/11.94 ^[Y3 : $i]: 88.44/11.94 (( 88.44/11.94 (in @ 88.44/11.94 Y3 @ 88.44/11.94 Y1) => 88.44/11.94 (subset @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 88.44/11.94 Y2 @ 88.44/11.94 ( 88.44/11.94 setadjoin @ 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emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.44/11.94 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl337])). 88.44/11.94 thf(zip_derived_cl351, plain, 88.44/11.94 (~ (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (((in @ Y0 @ (setadjoin @ Y1 @ emptyset)) => 88.44/11.94 (in @ Y1 @ (setadjoin @ Y0 @ emptyset)))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (((!!) @ (^[Y2 : $i]: 88.44/11.94 (((in @ Y2 @ 88.44/11.94 (setadjoin @ Y0 @ 88.44/11.94 (setadjoin @ Y1 @ emptyset))) => 88.44/11.94 (((((Y2) = (Y1))) | 88.44/11.94 (((Y2) = (Y0)))))))))))))))) => 88.44/11.94 (((((!!) @ (^[Y0 : $i]: 88.44/11.94 (((!!) @ (^[Y1 : $i]: 88.44/11.94 (in @ Y0 @ 88.44/11.94 (setadjoin @ Y0 @ 88.44/11.94 (setadjoin @ Y1 @ 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88.44/11.95 (in @ 88.44/11.95 Y3 @ Y1))))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (((((??) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (((Y0 @ Y1) & 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2))))))))))))) => 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2)))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) <=> 88.44/11.95 (Y1 @ Y3))))))))))) => 88.44/11.95 (((( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))) <=> 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (((( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 Y2) = 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ Y3))))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (powerset @ 88.44/11.95 Y0) = 88.44/11.95 (powerset @ 88.44/11.95 Y1))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (setunion @ 88.44/11.95 Y0) = 88.44/11.95 (setunion @ 88.44/11.95 Y1))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2)))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) <=> 88.44/11.95 (Y1 @ Y3))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))) => 88.44/11.95 (( 88.44/11.95 (descr @ 88.44/11.95 Y0) = 88.44/11.95 (descr @ 88.44/11.95 Y1))))))))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y4 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y4 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y5 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y5 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y4) = 88.44/11.95 (Y5))) => 88.44/11.95 (( 88.44/11.95 (Y2 @ 88.44/11.95 Y4) <=> 88.44/11.95 (Y3 @ Y5))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ 88.44/11.95 Y2) = 88.44/11.95 (dsetconstr @ 88.44/11.95 Y1 @ Y3))))))))))))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (((( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (subset @ 88.44/11.95 emptyset @ 88.44/11.95 Y0)))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 subset @ 88.44/11.95 Y0 @ Y1)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 subset @ 88.44/11.95 Y0 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (Y0) != 88.44/11.95 (Y1))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (Y0) != 88.44/11.95 (Y1)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y0)))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y2) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y2)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y1)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) => 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (emptyset)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 (powerset @ 88.44/11.95 Y0))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y1)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (in @ 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 (powerset @ 88.44/11.95 Y0)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (subset @ 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $o]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (Y3))) => 88.44/11.95 (Y3))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) | 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 (binunion @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 (binunion @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y0))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y1))) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 ( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) & 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y1))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y1))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y0))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y1 @ Y2)) = 88.44/11.95 (binunion @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (Y3))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (Y3))))) => 88.44/11.95 (Y3))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 (setunion @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 (setunion @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) = 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) = 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset) @ 88.44/11.95 Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y1))) | 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 dsetconstr @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))) @ 88.44/11.95 ( 88.44/11.95 ^[Y4 : $i]: 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y5 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y5 @ 88.44/11.95 Y0) & 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y6 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y6 @ 88.44/11.95 Y1) & 88.44/11.95 (( 88.44/11.95 (Y4) = 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y5 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y5 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y6 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.44/11.95 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl343])). 88.44/11.95 thf(zip_derived_cl359, plain, 88.44/11.95 (~ (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i]: 88.44/11.95 (((!!) @ (^[Y2 : $i]: 88.44/11.95 (((in @ Y2 @ 88.44/11.95 (setadjoin @ Y0 @ 88.44/11.95 (setadjoin @ Y1 @ emptyset))) => 88.44/11.95 (((((Y2) = (Y1))) | 88.44/11.95 (((Y2) = (Y0)))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i]: 88.44/11.95 (in @ Y0 @ 88.44/11.95 (setadjoin @ Y0 @ 88.44/11.95 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i]: 88.44/11.95 (in @ Y1 @ 88.44/11.95 (setadjoin @ Y0 @ 88.44/11.95 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.95 (((((??) @ (^[Y2 : $i]: 88.44/11.95 (((in @ Y2 @ Y0) & 88.44/11.95 (Y1 @ Y2)))))) => 88.44/11.95 (((dsetconstr @ Y0 @ Y1) != 88.44/11.95 (emptyset))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (((!!) @ (^[Y1 : $i]: 88.44/11.95 (((in @ Y1 @ emptyset) => (Y0 @ Y1))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.95 (((((~) @ (((!!) @ (^[Y2 : $i]: 88.44/11.95 (((in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (Y1 @ Y2)))))))) => 88.44/11.95 (((??) @ (^[Y2 : $i]: 88.44/11.95 (((in @ Y2 @ Y0) & 88.44/11.95 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.95 (((((!!) @ (^[Y2 : $i]: 88.44/11.95 (((in @ Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (((~) @ ( 88.44/11.95 Y1 @ Y2)))))))) => 88.44/11.95 (((~) @ (((??) @ (^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) & 88.44/11.95 (Y1 @ Y2)))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.95 (((((~) @ (((??) @ (^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) & 88.44/11.95 (Y1 @ Y2)))))))) => 88.44/11.95 (((!!) @ (^[Y2 : $i]: 88.44/11.95 (((in @ Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (((~) @ ( 88.44/11.95 Y1 @ Y2)))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.95 (((((??) @ (^[Y2 : $i]: 88.44/11.95 (((in @ Y2 @ 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<=> 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y1))))))))))) => 88.44/11.95 (((??) @ (^[Y1 : $i]: 88.44/11.95 (((Y0 @ Y1) & 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2)))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i]: 88.44/11.95 (((((Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y3 @ Y1))))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ (^[Y1 : $i]: 88.44/11.95 (((( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) <=> 88.44/11.95 (in @ 88.44/11.95 Y3 @ Y1))))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (((((??) @ (^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2))))))))))))) => 88.44/11.95 (((!!) @ (^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2)))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 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88.44/11.95 (Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2)))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) <=> 88.44/11.95 (Y1 @ Y3))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))) => 88.44/11.95 (( 88.44/11.95 (descr @ 88.44/11.95 Y0) = 88.44/11.95 (descr @ 88.44/11.95 Y1))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y4 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y4 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y5 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y5 @ 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88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 subset @ 88.44/11.95 Y0 @ Y1)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 subset @ 88.44/11.95 Y0 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (Y0) != 88.44/11.95 (Y1))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (Y0) != 88.44/11.95 (Y1)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y0)))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y2) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y2)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y1)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) => 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (emptyset)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 (powerset @ 88.44/11.95 Y0))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y1)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (in @ 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 (powerset @ 88.44/11.95 Y0)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (subset @ 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $o]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (Y3))) => 88.44/11.95 (Y3))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) | 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 (binunion @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 (binunion @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y0))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y1))) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 ( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) & 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y1))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y1))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y0))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y1 @ Y2)) = 88.44/11.95 (binunion @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (Y3))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (Y3))))) => 88.44/11.95 (Y3))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 (setunion @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 (setunion @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 (setadjoin @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) = 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 ( 88.44/11.95 setunion @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))) & 88.44/11.95 (( 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)) = 88.44/11.95 (setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 emptyset)))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset) @ 88.44/11.95 Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y1))) | 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y3 @ 88.44/11.95 emptyset)) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y3 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y2 @ 88.44/11.95 emptyset) @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 ( 88.44/11.95 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88.44/11.95 (Y1))) => 88.44/11.95 (((powerset @ 88.44/11.95 Y0) = 88.44/11.95 (powerset @ 88.44/11.95 Y1))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (((( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (setunion @ 88.44/11.95 Y0) = 88.44/11.95 (setunion @ 88.44/11.95 Y1))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (((((??) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2))))))))))))) => 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (( 88.44/11.95 (Y1) = 88.44/11.95 (Y2)))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) <=> 88.44/11.95 (Y1 @ Y3))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y0 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y2) & 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i]: 88.44/11.95 (( 88.44/11.95 (Y1 @ 88.44/11.95 Y3) => 88.44/11.95 (( 88.44/11.95 (Y2) = 88.44/11.95 (Y3))))))))))))) => 88.44/11.95 (( 88.44/11.95 (descr @ 88.44/11.95 Y0) = 88.44/11.95 (descr @ 88.44/11.95 Y1))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $i > $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y4 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y4 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y5 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y5 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y4) = 88.44/11.95 (Y5))) => 88.44/11.95 (( 88.44/11.95 (Y2 @ 88.44/11.95 Y4) <=> 88.44/11.95 (Y3 @ Y5))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ 88.44/11.95 Y2) = 88.44/11.95 (dsetconstr @ 88.44/11.95 Y1 @ Y3))))))))))))))))))) => 88.44/11.95 (((((!!) @ (^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (((!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (((((!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (subset @ 88.44/11.95 emptyset @ 88.44/11.95 Y0)))) => 88.44/11.95 (((( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 subset @ 88.44/11.95 Y0 @ Y1)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 subset @ 88.44/11.95 Y0 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (Y0) != 88.44/11.95 (Y1))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (Y0) != 88.44/11.95 (Y1)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y0)))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y2) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y2)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y2) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 setadjoin @ 88.44/11.95 Y1 @ Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y1)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 emptyset) => 88.44/11.95 (( 88.44/11.95 (Y0) = 88.44/11.95 (emptyset)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0)) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y0 @ 88.44/11.95 (powerset @ 88.44/11.95 Y0))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y0) @ 88.44/11.95 ( 88.44/11.95 powerset @ 88.44/11.95 Y1)))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (in @ 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 (powerset @ 88.44/11.95 Y0)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i > $o]: 88.44/11.95 (subset @ 88.44/11.95 (dsetconstr @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (in @ 88.44/11.95 Y1 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y0 @ 88.44/11.95 (setadjoin @ 88.44/11.95 Y1 @ 88.44/11.95 emptyset))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $o]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (Y3))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (Y3))) => 88.44/11.95 (Y3))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) | 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 (binunion @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 (binunion @ 88.44/11.95 Y0 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (subset @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y0))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y1))) => 88.44/11.95 (subset @ 88.44/11.95 Y1 @ Y0))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 ( 88.44/11.95 (??) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) & 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y1))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y1 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y1))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (Y0))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (binintersect @ 88.44/11.95 Y0 @ 88.44/11.95 ( 88.44/11.95 binunion @ 88.44/11.95 Y1 @ Y2)) = 88.44/11.95 (binunion @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 ( 88.44/11.95 binintersect @ 88.44/11.95 Y0 @ Y2))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y0)))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (subset @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ Y1)))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1)))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0)))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 setminus @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (subset @ 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ Y1) @ 88.44/11.95 Y0))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (setminus @ 88.44/11.95 Y0 @ 88.44/11.95 Y1) = 88.44/11.95 (emptyset))) => 88.44/11.95 (subset @ 88.44/11.95 Y0 @ Y1))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1)) => 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y3 : $o]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (Y3))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (Y3))))) => 88.44/11.95 (Y3))))))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y0) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y1))) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y1 : $i]: 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y2 : $i]: 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (~) @ ( 88.44/11.95 in @ 88.44/11.95 Y2 @ Y0))) => 88.44/11.95 (( 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 Y1) => 88.44/11.95 (in @ 88.44/11.95 Y2 @ 88.44/11.95 ( 88.44/11.95 symdiff @ 88.44/11.95 Y0 @ Y1))))))))))))))) => 88.44/11.95 (( 88.44/11.95 (( 88.44/11.95 (!!) @ ( 88.44/11.95 ^[Y0 : $i]: 88.44/11.95 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 symdiff @ 88.44/11.96 Y0 @ Y1))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y0))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 symdiff @ 88.44/11.96 Y0 @ Y1))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y0 @ 88.44/11.96 (setunion @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 (setunion @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setunion @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))) & 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 88.44/11.96 ( 88.44/11.96 setunion @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))) & 88.44/11.96 (( 88.44/11.96 (setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)) = 88.44/11.96 (setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y3 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setunion @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))) & 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 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88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 Y0) => 88.44/11.96 (subset @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset) @ 88.44/11.96 Y0))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 Y0)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1)))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y1))) | 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y0)))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 88.44/11.96 Y1) => 88.44/11.96 (subset @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y3 @ 88.44/11.96 emptyset)) @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1)))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 88.44/11.96 Y1) => 88.44/11.96 (in @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y3 @ 88.44/11.96 emptyset)) @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1))))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 88.44/11.96 Y1) => 88.44/11.96 (subset @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y3 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)) @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1))))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 88.44/11.96 Y1) => 88.44/11.96 (in @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y3 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)) @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1)))))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 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88.44/11.96 setadjoin @ 88.44/11.96 Y5 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y6 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.44/11.96 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl359])). 88.44/11.96 thf(zip_derived_cl378, plain, 88.44/11.96 (~ (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i]: 88.44/11.96 (in @ Y1 @ 88.44/11.96 (setadjoin @ Y0 @ 88.44/11.96 (setadjoin @ Y1 @ emptyset))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((((??) @ (^[Y2 : $i]: 88.44/11.96 (((in @ Y2 @ Y0) & (Y1 @ Y2)))))) => 88.44/11.96 (((dsetconstr @ Y0 @ Y1) != (emptyset))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.96 (((!!) @ (^[Y1 : $i]: 88.44/11.96 (((in @ Y1 @ emptyset) => (Y0 @ Y1))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((((~) @ (((!!) @ (^[Y2 : $i]: 88.44/11.96 (((in @ Y2 @ 88.44/11.96 Y0) => (Y1 @ 88.44/11.96 Y2)))))))) => 88.44/11.96 (((??) @ (^[Y2 : $i]: 88.44/11.96 (((in @ Y2 @ Y0) & 88.44/11.96 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((((!!) @ (^[Y2 : $i]: 88.44/11.96 (((in @ Y2 @ Y0) => 88.44/11.96 (((~) @ (Y1 @ Y2)))))))) => 88.44/11.96 (((~) @ (((??) @ (^[Y2 : $i]: 88.44/11.96 (((in @ Y2 @ 88.44/11.96 Y0) & (Y1 @ 88.44/11.96 Y2)))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((((~) @ (((??) @ (^[Y2 : $i]: 88.44/11.96 (((in @ 88.44/11.96 Y2 @ Y0) & 88.44/11.96 (Y1 @ Y2)))))))) => 88.44/11.96 (((!!) @ (^[Y2 : $i]: 88.44/11.96 (((in @ Y2 @ Y0) => 88.44/11.96 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((((??) @ (^[Y2 : $i]: 88.44/11.96 (((in @ Y2 @ Y0) & 88.44/11.96 (((~) @ ( 88.44/11.96 Y1 @ Y2)))))))) => 88.44/11.96 (((~) @ (((!!) @ (^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (Y1 @ Y2)))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $o]: 88.44/11.96 (((Y0) => (in @ emptyset @ 88.44/11.96 (prop2set @ Y0))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $o]: 88.44/11.96 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((((~) @ (((??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (((in @ 88.44/11.96 Y2 @ Y0) & 88.44/11.96 (Y1 @ Y2)))))))) => 88.44/11.96 (((!!) @ (^[Y2 : $i]: 88.44/11.96 (((in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 Y1 @ Y2)))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((((~) @ (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (Y1 @ Y2)))))))) => 88.44/11.96 (((??) @ (^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) & 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 Y1 @ Y2)))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.96 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 88.44/11.96 (((((!!) @ (^[Y1 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (((Y0 @ Y1) => 88.44/11.96 (((Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (( 88.44/11.96 (Y1) = 88.44/11.96 (Y2))))))))))))) => 88.44/11.96 (((??) @ (^[Y1 : $i]: 88.44/11.96 (((Y0 @ Y1) & 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (((Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (( 88.44/11.96 (Y1) = 88.44/11.96 (Y2)))))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.96 (((((??) @ (^[Y1 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (((Y0 @ 88.44/11.96 Y2) <=> 88.44/11.96 (((Y2) = 88.44/11.96 (Y1))))))))))) => 88.44/11.96 (((??) @ (^[Y1 : $i]: 88.44/11.96 (((Y0 @ Y1) & 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (((Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (( 88.44/11.96 (Y1) = 88.44/11.96 (Y2)))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i]: 88.44/11.96 (((((Y0) = (Y1))) => 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 Y3 @ Y1))))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i]: 88.44/11.96 (((((Y0) = (Y1))) => 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) <=> 88.44/11.96 (in @ 88.44/11.96 Y3 @ Y1))))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.96 (((((??) @ (^[Y1 : $i]: 88.44/11.96 (((Y0 @ 88.44/11.96 Y1) & 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (( 88.44/11.96 (Y1) = 88.44/11.96 (Y2))))))))))))) => 88.44/11.96 (((!!) @ (^[Y1 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (( 88.44/11.96 (Y1) = 88.44/11.96 (Y2)))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.96 (((!!) @ (^[Y1 : $i > $o]: 88.44/11.96 (((( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))) => 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) <=> 88.44/11.96 (Y1 @ Y3))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) & 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y3) => 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))))))))))))) <=> 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y1 @ 88.44/11.96 Y2) & 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (Y1 @ 88.44/11.96 Y3) => 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))))))))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y0) = 88.44/11.96 (Y1))) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))) => 88.44/11.96 (( 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 Y2) = 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ Y3))))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ (^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y0) = 88.44/11.96 (Y1))) => 88.44/11.96 (( 88.44/11.96 (powerset @ 88.44/11.96 Y0) = 88.44/11.96 (powerset @ 88.44/11.96 Y1))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (((((Y0) = 88.44/11.96 (Y1))) => 88.44/11.96 (((setunion @ 88.44/11.96 Y0) = 88.44/11.96 (setunion @ 88.44/11.96 Y1))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.96 (((((??) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y1) & 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (( 88.44/11.96 (Y1) = 88.44/11.96 (Y2))))))))))))) => 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (( 88.44/11.96 (Y1) = 88.44/11.96 (Y2)))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i > $o]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y1 : $i > $o]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))) => 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) <=> 88.44/11.96 (Y1 @ Y3))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y2) & 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (Y0 @ 88.44/11.96 Y3) => 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (Y1 @ 88.44/11.96 Y2) & 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (Y1 @ 88.44/11.96 Y3) => 88.44/11.96 (( 88.44/11.96 (Y2) = 88.44/11.96 (Y3))))))))))))) => 88.44/11.96 (( 88.44/11.96 (descr @ 88.44/11.96 Y0) = 88.44/11.96 (descr @ 88.44/11.96 Y1))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y0) = 88.44/11.96 (Y1))) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i > $o]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $i > $o]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y4 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y4 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y5 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y5 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y4) = 88.44/11.96 (Y5))) => 88.44/11.96 (( 88.44/11.96 (Y2 @ 88.44/11.96 Y4) <=> 88.44/11.96 (Y3 @ Y5))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (dsetconstr @ 88.44/11.96 Y0 @ 88.44/11.96 Y2) = 88.44/11.96 (dsetconstr @ 88.44/11.96 Y1 @ Y3))))))))))))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y1)))))) => 88.44/11.96 (subset @ 88.44/11.96 Y0 @ Y1))))))))) => 88.44/11.96 (((((!!) @ (^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y0) = 88.44/11.96 (Y1))) => 88.44/11.96 (subset @ 88.44/11.96 Y1 @ Y0))))))))) => 88.44/11.96 (((((!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (Y0) = 88.44/11.96 (Y1))) => 88.44/11.96 (subset @ 88.44/11.96 Y0 @ Y1))))))))) => 88.44/11.96 (((((!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (((!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y1)))))) => 88.44/11.96 (subset @ 88.44/11.96 Y0 @ Y1))))))))) => 88.44/11.96 (((((!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (subset @ 88.44/11.96 emptyset @ 88.44/11.96 Y0)))) => 88.44/11.96 (((((!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y1)))))))))))))) => 88.44/11.96 (((( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y0)))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 subset @ 88.44/11.96 Y0 @ Y1)))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 subset @ 88.44/11.96 Y0 @ Y1))) => 88.44/11.96 (( 88.44/11.96 (Y0) != 88.44/11.96 (Y1))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (( 88.44/11.96 (Y0) != 88.44/11.96 (Y1)))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (subset @ 88.44/11.96 Y0 @ Y0)))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y1 @ 88.44/11.96 Y2) => 88.44/11.96 (subset @ 88.44/11.96 Y0 @ Y2)))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (subset @ 88.44/11.96 Y1 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ Y1)))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y2) => 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ Y2))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (in @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 Y1)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y1 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (Y0) = 88.44/11.96 (Y1))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) => 88.44/11.96 (( 88.44/11.96 (Y0) = 88.44/11.96 (emptyset)))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y1 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 Y0)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 Y0)) => 88.44/11.96 (subset @ 88.44/11.96 Y1 @ Y0))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y0 @ 88.44/11.96 (powerset @ 88.44/11.96 Y0))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (subset @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 Y0) @ 88.44/11.96 ( 88.44/11.96 powerset @ 88.44/11.96 Y1)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i > $o]: 88.44/11.96 (in @ 88.44/11.96 (dsetconstr @ 88.44/11.96 Y0 @ Y1) @ 88.44/11.96 (powerset @ 88.44/11.96 Y0)))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i > $o]: 88.44/11.96 (subset @ 88.44/11.96 (dsetconstr @ 88.44/11.96 Y0 @ Y1) @ 88.44/11.96 Y0))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $o]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1)) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (Y3))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (Y3))) => 88.44/11.96 (Y3))))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y0 @ Y1)) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) | 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y0)))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 (binunion @ 88.44/11.96 Y0 @ Y1)))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (subset @ 88.44/11.96 Y1 @ 88.44/11.96 (binunion @ 88.44/11.96 Y0 @ Y1)))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binintersect @ 88.44/11.96 Y0 @ Y1))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (subset @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binintersect @ 88.44/11.96 Y0 @ Y1))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binintersect @ 88.44/11.96 Y0 @ Y1)) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y0)))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (subset @ 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ Y1) @ 88.44/11.96 Y0))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) = 88.44/11.96 (Y0))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) = 88.44/11.96 (Y1))) => 88.44/11.96 (subset @ 88.44/11.96 Y1 @ Y0))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 binintersect @ 88.44/11.96 Y0 @ Y1)) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y1)))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 ( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) & 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y1)))))))) => 88.44/11.96 (( 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) = 88.44/11.96 (emptyset))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (subset @ 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ Y1) @ 88.44/11.96 Y1))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y1 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) = 88.44/11.96 (Y1))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) = 88.44/11.96 (Y0))) => 88.44/11.96 (subset @ 88.44/11.96 Y0 @ Y1))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (binintersect @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 binunion @ 88.44/11.96 Y1 @ Y2)) = 88.44/11.96 (binunion @ 88.44/11.96 ( 88.44/11.96 binintersect @ 88.44/11.96 Y0 @ Y1) @ 88.44/11.96 ( 88.44/11.96 binintersect @ 88.44/11.96 Y0 @ Y2))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setminus @ 88.44/11.96 Y0 @ Y1))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setminus @ 88.44/11.96 Y0 @ Y1)) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y0)))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setminus @ 88.44/11.96 Y0 @ Y1)) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1)))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (subset @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (setminus @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) = 88.44/11.96 (emptyset))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setminus @ 88.44/11.96 Y0 @ Y1)))) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ Y1)))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setminus @ 88.44/11.96 Y0 @ Y1)))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y0)))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y0))) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setminus @ 88.44/11.96 Y0 @ Y1))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setminus @ 88.44/11.96 Y0 @ Y1))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (subset @ 88.44/11.96 (setminus @ 88.44/11.96 Y0 @ Y1) @ 88.44/11.96 Y0))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (setminus @ 88.44/11.96 Y0 @ 88.44/11.96 Y1) = 88.44/11.96 (emptyset))) => 88.44/11.96 (subset @ 88.44/11.96 Y0 @ Y1))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 symdiff @ 88.44/11.96 Y0 @ Y1)) => 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y3 : $o]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (Y3))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y0))) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (Y3))))) => 88.44/11.96 (Y3))))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 symdiff @ 88.44/11.96 Y0 @ Y1))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y0))) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 symdiff @ 88.44/11.96 Y0 @ Y1))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y0) => 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 Y1) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 symdiff @ 88.44/11.96 Y0 @ Y1))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y0))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ Y1))) => 88.44/11.96 (( 88.44/11.96 (~) @ ( 88.44/11.96 in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 symdiff @ 88.44/11.96 Y0 @ Y1))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y0 @ 88.44/11.96 (setunion @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (in @ 88.44/11.96 Y1 @ 88.44/11.96 (setunion @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 (setadjoin @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 (setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setunion @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))) & 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 88.44/11.96 ( 88.44/11.96 setunion @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))) & 88.44/11.96 (( 88.44/11.96 (setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)) = 88.44/11.96 (setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y3 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))))))))))))))))))) => 88.44/11.96 (( 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y0 : $i]: 88.44/11.96 (( 88.44/11.96 (!!) @ ( 88.44/11.96 ^[Y1 : $i]: 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y2 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y2 @ 88.44/11.96 ( 88.44/11.96 setunion @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))) & 88.44/11.96 (( 88.44/11.96 (??) @ ( 88.44/11.96 ^[Y3 : $i]: 88.44/11.96 (( 88.44/11.96 (in @ 88.44/11.96 Y3 @ 88.44/11.96 ( 88.44/11.96 setunion @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 emptyset) @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y0 @ 88.44/11.96 ( 88.44/11.96 setadjoin @ 88.44/11.96 Y1 @ 88.44/11.96 emptyset)) @ 88.44/11.96 emptyset)))) & 88.74/11.96 (( 88.74/11.96 (setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) = 88.74/11.96 (setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 Y0) => 88.74/11.96 (subset @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset) @ 88.74/11.96 Y0))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 Y0)))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (Y2) = 88.74/11.96 (Y1))) | 88.74/11.96 (( 88.74/11.96 (Y2) = 88.74/11.96 (Y0)))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (subset @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (subset @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 dsetconstr @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1))) @ 88.74/11.96 ( 88.74/11.96 ^[Y4 : $i]: 88.74/11.96 (( 88.74/11.96 (??) @ ( 88.74/11.96 ^[Y5 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y5 @ 88.74/11.96 Y0) & 88.74/11.96 (( 88.74/11.96 (??) @ ( 88.74/11.96 ^[Y6 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y6 @ 88.74/11.96 Y1) & 88.74/11.96 (( 88.74/11.96 (Y4) = 88.74/11.96 (setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 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88.74/11.96 emptyset @ 88.74/11.96 Y0)))) => 88.74/11.96 (((((!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ Y1)))))))))))))) => 88.74/11.96 (((((!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y0)))))))))))))))) => 88.74/11.96 (((( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 subset @ 88.74/11.96 Y0 @ Y1)))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 subset @ 88.74/11.96 Y0 @ Y1))) => 88.74/11.96 (( 88.74/11.96 (Y0) != 88.74/11.96 (Y1))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (( 88.74/11.96 (Y0) != 88.74/11.96 (Y1)))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (subset @ 88.74/11.96 Y0 @ Y0)))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y1 @ 88.74/11.96 Y2) => 88.74/11.96 (subset @ 88.74/11.96 Y0 @ Y2)))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (subset @ 88.74/11.96 Y1 @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y0 @ Y1)))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y2) => 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ Y2))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 Y1)))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y1 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (Y0) = 88.74/11.96 (Y1))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) => 88.74/11.96 (( 88.74/11.96 (Y0) = 88.74/11.96 (emptyset)))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y1 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 Y0)))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 Y0)) => 88.74/11.96 (subset @ 88.74/11.96 Y1 @ Y0))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (in @ 88.74/11.96 Y0 @ 88.74/11.96 (powerset @ 88.74/11.96 Y0))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (subset @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 Y0) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 Y1)))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i > $o]: 88.74/11.96 (in @ 88.74/11.96 (dsetconstr @ 88.74/11.96 Y0 @ Y1) @ 88.74/11.96 (powerset @ 88.74/11.96 Y0)))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i > $o]: 88.74/11.96 (subset @ 88.74/11.96 (dsetconstr @ 88.74/11.96 Y0 @ Y1) @ 88.74/11.96 Y0))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $o]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (Y3))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (Y3))) => 88.74/11.96 (Y3))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)) => 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) | 88.74/11.96 (in @ 88.74/11.96 Y2 @ Y0)))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 (binunion @ 88.74/11.96 Y0 @ Y1)))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (subset @ 88.74/11.96 Y1 @ 88.74/11.96 (binunion @ 88.74/11.96 Y0 @ Y1)))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binintersect @ 88.74/11.96 Y0 @ Y1))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (subset @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binintersect @ 88.74/11.96 Y0 @ Y1))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binintersect @ 88.74/11.96 Y0 @ Y1)) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ Y0)))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (subset @ 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ Y1) @ 88.74/11.96 Y0))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) = 88.74/11.96 (Y0))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) = 88.74/11.96 (Y1))) => 88.74/11.96 (subset @ 88.74/11.96 Y1 @ Y0))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 binintersect @ 88.74/11.96 Y0 @ Y1)) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ Y1)))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 ( 88.74/11.96 (??) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) & 88.74/11.96 (in @ 88.74/11.96 Y2 @ Y1)))))))) => 88.74/11.96 (( 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) = 88.74/11.96 (emptyset))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (subset @ 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ Y1) @ 88.74/11.96 Y1))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y1 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) = 88.74/11.96 (Y1))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) = 88.74/11.96 (Y0))) => 88.74/11.96 (subset @ 88.74/11.96 Y0 @ Y1))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (binintersect @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y1 @ Y2)) = 88.74/11.96 (binunion @ 88.74/11.96 ( 88.74/11.96 binintersect @ 88.74/11.96 Y0 @ Y1) @ 88.74/11.96 ( 88.74/11.96 binintersect @ 88.74/11.96 Y0 @ Y2))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setminus @ 88.74/11.96 Y0 @ Y1))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setminus @ 88.74/11.96 Y0 @ Y1)) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ Y0)))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setminus @ 88.74/11.96 Y0 @ Y1)) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1)))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (subset @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (setminus @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) = 88.74/11.96 (emptyset))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setminus @ 88.74/11.96 Y0 @ Y1)))) => 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ Y1)))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setminus @ 88.74/11.96 Y0 @ Y1)))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y0)))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y0))) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setminus @ 88.74/11.96 Y0 @ Y1))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setminus @ 88.74/11.96 Y0 @ Y1))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (subset @ 88.74/11.96 (setminus @ 88.74/11.96 Y0 @ Y1) @ 88.74/11.96 Y0))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (setminus @ 88.74/11.96 Y0 @ 88.74/11.96 Y1) = 88.74/11.96 (emptyset))) => 88.74/11.96 (subset @ 88.74/11.96 Y0 @ Y1))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 symdiff @ 88.74/11.96 Y0 @ Y1)) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $o]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (Y3))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y0))) => 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (Y3))))) => 88.74/11.96 (Y3))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 symdiff @ 88.74/11.96 Y0 @ Y1))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y0))) => 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 symdiff @ 88.74/11.96 Y0 @ Y1))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y1) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 symdiff @ 88.74/11.96 Y0 @ Y1))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y0))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ Y1))) => 88.74/11.96 (( 88.74/11.96 (~) @ ( 88.74/11.96 in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 symdiff @ 88.74/11.96 Y0 @ Y1))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (in @ 88.74/11.96 Y0 @ 88.74/11.96 (setunion @ 88.74/11.96 (setadjoin @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 (setadjoin @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 (setunion @ 88.74/11.96 (setadjoin @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 (setadjoin @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 (setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (??) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setunion @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))) & 88.74/11.96 (( 88.74/11.96 (??) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 ( 88.74/11.96 setunion @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))) & 88.74/11.96 (( 88.74/11.96 (setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) = 88.74/11.96 (setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (??) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setunion @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))) & 88.74/11.96 (( 88.74/11.96 (??) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 ( 88.74/11.96 setunion @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))) & 88.74/11.96 (( 88.74/11.96 (setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) = 88.74/11.96 (setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 Y0) => 88.74/11.96 (subset @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset) @ 88.74/11.96 Y0))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y1 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 Y0)))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y0 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y1 @ 88.74/11.96 emptyset))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (Y2) = 88.74/11.96 (Y1))) | 88.74/11.96 (( 88.74/11.96 (Y2) = 88.74/11.96 (Y0)))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (subset @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1)))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (in @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y3 @ 88.74/11.96 Y1) => 88.74/11.96 (subset @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 emptyset) @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y2 @ 88.74/11.96 ( 88.74/11.96 setadjoin @ 88.74/11.96 Y3 @ 88.74/11.96 emptyset)) @ 88.74/11.96 emptyset)) @ 88.74/11.96 ( 88.74/11.96 powerset @ 88.74/11.96 ( 88.74/11.96 binunion @ 88.74/11.96 Y0 @ Y1))))))))))))))))))) => 88.74/11.96 (( 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y0 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y1 : $i]: 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y2 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 88.74/11.96 Y2 @ 88.74/11.96 Y0) => 88.74/11.96 (( 88.74/11.96 (!!) @ ( 88.74/11.96 ^[Y3 : $i]: 88.74/11.96 (( 88.74/11.96 (in @ 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(((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) <=> 88.74/11.97 (in @ 88.74/11.97 Y3 @ Y1))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: 88.74/11.97 (((Y0 @ Y1) & 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2))))))))))))) => 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((!!) @ 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88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))) => 88.74/11.97 (( 88.74/11.97 (descr @ 88.74/11.97 Y0) = 88.74/11.97 (descr @ 88.74/11.97 Y1))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (((( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y4 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y4 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y5 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y5 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y4) = 88.74/11.97 (Y5))) => 88.74/11.97 (( 88.74/11.97 (Y2 @ 88.74/11.97 Y4) <=> 88.74/11.97 (Y3 @ Y5))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) = 88.74/11.97 (dsetconstr @ 88.74/11.97 Y1 @ Y3))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (subset @ 88.74/11.97 emptyset @ Y0)))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0)))))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 subset @ 88.74/11.97 Y0 @ Y1)))))))))))))))) => 88.74/11.97 (((( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 subset @ 88.74/11.97 Y0 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (Y0) != 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (Y0) != 88.74/11.97 (Y1)))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y0)))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y2) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y2)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ Y2))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y1)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) => 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (emptyset)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 (powerset @ 88.74/11.97 Y0))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y1)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i > $o]: 88.74/11.97 (in @ 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 (powerset @ 88.74/11.97 Y0)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i > $o]: 88.74/11.97 (subset @ 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $o]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (Y3))) => 88.74/11.97 (Y3))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) | 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 (binunion @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 (binunion @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y0))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 ( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) & 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y1))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y0))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y1 @ Y2)) = 88.74/11.97 (binunion @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y2))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0)))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (Y3))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (Y3))))) => 88.74/11.97 (Y3))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 (setunion @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setunion @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) = 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) = 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset) @ 88.74/11.97 Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y1))) | 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y0)))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 dsetconstr @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))) @ 88.74/11.97 ( 88.74/11.97 ^[Y4 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y5 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y5 @ 88.74/11.97 Y0) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y6 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y6 @ 88.74/11.97 Y1) & 88.74/11.97 (( 88.74/11.97 (Y4) = 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y5 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y5 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y6 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/11.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl387])). 88.74/11.97 thf(zip_derived_cl399, plain, 88.74/11.97 (~ (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((~) @ (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) => 88.74/11.97 (Y1 @ Y2)))))))) => 88.74/11.97 (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) => 88.74/11.97 (((~) @ (Y1 @ Y2)))))))) => 88.74/11.97 (((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (Y1 @ Y2)))))))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) => 88.74/11.97 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (((~) @ (Y1 @ Y2)))))))) => 88.74/11.97 (((~) @ (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ 88.74/11.97 Y0) => (Y1 @ 88.74/11.97 Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $o]: 88.74/11.97 (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $o]: 88.74/11.97 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) & 88.74/11.97 (Y1 @ Y2)))))))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (((~) @ ( 88.74/11.97 Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((~) @ (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (Y1 @ Y2)))))))) => 88.74/11.97 (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ 88.74/11.97 Y0) & 88.74/11.97 (((~) @ ( 88.74/11.97 Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 88.74/11.97 (((((!!) @ (^[Y1 : $i]: 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2))))))))))))) => 88.74/11.97 (((??) @ (^[Y1 : $i]: 88.74/11.97 (((Y0 @ Y1) & 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) <=> 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (((??) @ (^[Y1 : $i]: 88.74/11.97 (((Y0 @ Y1) & 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y3 @ Y1))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) <=> 88.74/11.97 (in @ 88.74/11.97 Y3 @ Y1))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: 88.74/11.97 (((Y0 @ Y1) & 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2))))))))))))) => 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((Y0 @ Y1) => 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) <=> 88.74/11.97 (Y1 @ Y3))))))))))) => 88.74/11.97 (((((??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))) <=> 88.74/11.97 (((??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) = 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ Y3))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (((powerset @ 88.74/11.97 Y0) = 88.74/11.97 (powerset @ 88.74/11.97 Y1))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (( 88.74/11.97 (setunion @ 88.74/11.97 Y0) = 88.74/11.97 (setunion @ 88.74/11.97 Y1))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y1) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2))))))))))))) => 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) <=> 88.74/11.97 (Y1 @ Y3))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))) => 88.74/11.97 (( 88.74/11.97 (descr @ 88.74/11.97 Y0) = 88.74/11.97 (descr @ 88.74/11.97 Y1))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (((((Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y4 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y4 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y5 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y5 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y4) = 88.74/11.97 (Y5))) => 88.74/11.97 (( 88.74/11.97 (Y2 @ 88.74/11.97 Y4) <=> 88.74/11.97 (Y3 @ Y5))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) = 88.74/11.97 (dsetconstr @ 88.74/11.97 Y1 @ Y3))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (((( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (subset @ 88.74/11.97 emptyset @ 88.74/11.97 Y0)))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0)))))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 subset @ 88.74/11.97 Y0 @ Y1)))))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 subset @ 88.74/11.97 Y0 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (Y0) != 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (((( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (Y0) != 88.74/11.97 (Y1)))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y0)))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y2) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y2)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ Y2))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y1)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) => 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (emptyset)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 (powerset @ 88.74/11.97 Y0))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y1)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i > $o]: 88.74/11.97 (in @ 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 (powerset @ 88.74/11.97 Y0)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i > $o]: 88.74/11.97 (subset @ 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $o]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (Y3))) => 88.74/11.97 (Y3))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) | 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 (binunion @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 (binunion @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y0))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 ( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) & 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y1))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y0))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y1 @ Y2)) = 88.74/11.97 (binunion @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y2))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0)))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (Y3))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (Y3))))) => 88.74/11.97 (Y3))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 (setunion @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setunion @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) = 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) = 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset) @ 88.74/11.97 Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y1))) | 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y0)))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) @ 88.74/11.97 ( 88.74/11.97 dsetconstr @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))) @ 88.74/11.97 ( 88.74/11.97 ^[Y4 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y5 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y5 @ 88.74/11.97 Y0) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y6 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y6 @ 88.74/11.97 Y1) & 88.74/11.97 (( 88.74/11.97 (Y4) = 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y5 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y5 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y6 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/11.97 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl394])). 88.74/11.97 thf(zip_derived_cl404, plain, 88.74/11.97 (~ (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) => 88.74/11.97 (((~) @ (Y1 @ Y2)))))))) => 88.74/11.97 (((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (Y1 @ Y2)))))))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) => 88.74/11.97 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (((~) @ (Y1 @ Y2)))))))) => 88.74/11.97 (((~) @ (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ 88.74/11.97 Y0) => (Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $o]: 88.74/11.97 (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $o]: 88.74/11.97 (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ 88.74/11.97 Y2 @ Y0) & 88.74/11.97 (Y1 @ Y2)))))))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) => 88.74/11.97 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((~) @ (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (Y1 @ Y2)))))))) => 88.74/11.97 (((??) @ (^[Y2 : $i]: 88.74/11.97 (((in @ Y2 @ Y0) & 88.74/11.97 (((~) @ ( 88.74/11.97 Y1 @ Y2)))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 88.74/11.97 (((((!!) @ (^[Y1 : $i]: 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((Y0 @ Y1) => 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2))))))))))))) => 88.74/11.97 (((??) @ (^[Y1 : $i]: 88.74/11.97 (((Y0 @ Y1) & 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) <=> 88.74/11.97 (((Y2) = 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (((??) @ (^[Y1 : $i]: 88.74/11.97 (((Y0 @ Y1) & 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y3 @ Y1))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) <=> 88.74/11.97 (in @ 88.74/11.97 Y3 @ Y1))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: 88.74/11.97 (((Y0 @ Y1) & 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((Y0 @ Y2) => 88.74/11.97 (((Y1) = 88.74/11.97 (Y2))))))))))))) => 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((!!) @ (^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) <=> 88.74/11.97 (Y1 @ Y3))))))))))) => 88.74/11.97 (((((??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((Y0 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))) <=> 88.74/11.97 (((??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((Y1 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) = 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ Y3))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = (Y1))) => 88.74/11.97 (((powerset @ 88.74/11.97 Y0) = 88.74/11.97 (powerset @ 88.74/11.97 Y1))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (((((Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (((setunion @ 88.74/11.97 Y0) = 88.74/11.97 (setunion @ 88.74/11.97 Y1))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((((??) @ (^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y1) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2))))))))))))) => 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (( 88.74/11.97 (Y1) = 88.74/11.97 (Y2)))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.97 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) <=> 88.74/11.97 (Y1 @ Y3))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y0 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y2) & 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (Y1 @ 88.74/11.97 Y3) => 88.74/11.97 (( 88.74/11.97 (Y2) = 88.74/11.97 (Y3))))))))))))) => 88.74/11.97 (( 88.74/11.97 (descr @ 88.74/11.97 Y0) = 88.74/11.97 (descr @ 88.74/11.97 Y1))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ (^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $i > $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y4 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y4 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y5 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y5 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y4) = 88.74/11.97 (Y5))) => 88.74/11.97 (( 88.74/11.97 (Y2 @ 88.74/11.97 Y4) <=> 88.74/11.97 (Y3 @ Y5))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) = 88.74/11.97 (dsetconstr @ 88.74/11.97 Y1 @ Y3))))))))))))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (((( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (subset @ 88.74/11.97 emptyset @ 88.74/11.97 Y0)))) => 88.74/11.97 (((((!!) @ (^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0)))))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (((!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 subset @ 88.74/11.97 Y0 @ Y1)))))))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 subset @ 88.74/11.97 Y0 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (Y0) != 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (((((!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (Y0) != 88.74/11.97 (Y1)))))))))))))))) => 88.74/11.97 (((( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y0)))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y2) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y2)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y2) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ Y2))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y1)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) => 88.74/11.97 (( 88.74/11.97 (Y0) = 88.74/11.97 (emptyset)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0)) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 (powerset @ 88.74/11.97 Y0))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y0) @ 88.74/11.97 ( 88.74/11.97 powerset @ 88.74/11.97 Y1)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i > $o]: 88.74/11.97 (in @ 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 (powerset @ 88.74/11.97 Y0)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i > $o]: 88.74/11.97 (subset @ 88.74/11.97 (dsetconstr @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $o]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (Y3))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (Y3))) => 88.74/11.97 (Y3))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) | 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 (binunion @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 (binunion @ 88.74/11.97 Y0 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (subset @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y0))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y1))) => 88.74/11.97 (subset @ 88.74/11.97 Y1 @ Y0))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 ( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) & 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y1))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y1 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y1))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (Y0))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (binintersect @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 binunion @ 88.74/11.97 Y1 @ Y2)) = 88.74/11.97 (binunion @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 ( 88.74/11.97 binintersect @ 88.74/11.97 Y0 @ Y2))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y0)))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (subset @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ Y1)))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1)))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0)))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setminus @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (subset @ 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ Y1) @ 88.74/11.97 Y0))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (setminus @ 88.74/11.97 Y0 @ 88.74/11.97 Y1) = 88.74/11.97 (emptyset))) => 88.74/11.97 (subset @ 88.74/11.97 Y0 @ Y1))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1)) => 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y3 : $o]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (Y3))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (Y3))))) => 88.74/11.97 (Y3))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y0) => 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 Y1) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y0))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ Y1))) => 88.74/11.97 (( 88.74/11.97 (~) @ ( 88.74/11.97 in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 symdiff @ 88.74/11.97 Y0 @ Y1))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y0 @ 88.74/11.97 (setunion @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (in @ 88.74/11.97 Y1 @ 88.74/11.97 (setunion @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 (setadjoin @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 (setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)) = 88.74/11.97 (setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y3 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))))))))))))))))))) => 88.74/11.97 (( 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y0 : $i]: 88.74/11.97 (( 88.74/11.97 (!!) @ ( 88.74/11.97 ^[Y1 : $i]: 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y2 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y2 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 emptyset) @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y0 @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 Y1 @ 88.74/11.97 emptyset)) @ 88.74/11.97 emptyset)))) & 88.74/11.97 (( 88.74/11.97 (??) @ ( 88.74/11.97 ^[Y3 : $i]: 88.74/11.97 (( 88.74/11.97 (in @ 88.74/11.97 Y3 @ 88.74/11.97 ( 88.74/11.97 setunion @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.97 ( 88.74/11.97 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) = 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset) @ 88.74/11.98 Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (Y2) = 88.74/11.98 (Y1))) | 88.74/11.98 (( 88.74/11.98 (Y2) = 88.74/11.98 (Y0)))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 dsetconstr @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))) @ 88.74/11.98 ( 88.74/11.98 ^[Y4 : $i]: 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y5 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y5 @ 88.74/11.98 Y0) & 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y6 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y6 @ 88.74/11.98 Y1) & 88.74/11.98 (( 88.74/11.98 (Y4) = 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y5 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y5 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y6 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/11.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl399])). 88.74/11.98 thf(zip_derived_cl410, plain, 88.74/11.98 (~ (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.98 (((((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.98 (((in @ Y2 @ Y0) & 88.74/11.98 (Y1 @ Y2)))))))) => 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88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y2) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ Y2))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y1)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (Y0) = 88.74/11.98 (Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) => 88.74/11.98 (( 88.74/11.98 (Y0) = 88.74/11.98 (emptyset)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)) => 88.74/11.98 (subset @ 88.74/11.98 Y1 @ Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 (powerset @ 88.74/11.98 Y0))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y1)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i > $o]: 88.74/11.98 (in @ 88.74/11.98 (dsetconstr @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 (powerset @ 88.74/11.98 Y0)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i > $o]: 88.74/11.98 (subset @ 88.74/11.98 (dsetconstr @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $o]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (Y3))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (Y3))) => 88.74/11.98 (Y3))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) | 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 (binunion @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 (binunion @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y0))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y1))) => 88.74/11.98 (subset @ 88.74/11.98 Y1 @ Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 ( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) & 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y1))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y1))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y0))) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y1))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y1 @ Y2)) = 88.74/11.98 (binunion @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y2))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0)))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y1))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $o]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (Y3))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (Y3))))) => 88.74/11.98 (Y3))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 (setunion @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 (setunion @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) = 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) = 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset) @ 88.74/11.98 Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (Y2) = 88.74/11.98 (Y1))) | 88.74/11.98 (( 88.74/11.98 (Y2) = 88.74/11.98 (Y0)))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 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88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 subset @ 88.74/11.98 Y0 @ Y1)))))))))))))))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (((!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 subset @ 88.74/11.98 Y0 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (Y0) != 88.74/11.98 (Y1))))))))))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (((!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (Y0) != 88.74/11.98 (Y1)))))))))))))))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y0)))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y2) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y2)))))))))))))) => 88.74/11.98 (((( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y2) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ Y2))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y1)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (Y0) = 88.74/11.98 (Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) => 88.74/11.98 (( 88.74/11.98 (Y0) = 88.74/11.98 (emptyset)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)) => 88.74/11.98 (subset @ 88.74/11.98 Y1 @ Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 (powerset @ 88.74/11.98 Y0))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y1)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i > $o]: 88.74/11.98 (in @ 88.74/11.98 (dsetconstr @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 (powerset @ 88.74/11.98 Y0)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i > $o]: 88.74/11.98 (subset @ 88.74/11.98 (dsetconstr @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $o]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (Y3))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (Y3))) => 88.74/11.98 (Y3))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) | 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 (binunion @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 (binunion @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y0))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y1))) => 88.74/11.98 (subset @ 88.74/11.98 Y1 @ Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 ( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) & 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y1))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y1))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y0))) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y1))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y1 @ Y2)) = 88.74/11.98 (binunion @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y2))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0)))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y1))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $o]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (Y3))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (Y3))))) => 88.74/11.98 (Y3))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 (setunion @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 (setunion @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 (setadjoin @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) = 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 ( 88.74/11.98 setunion @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))) & 88.74/11.98 (( 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) = 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset) @ 88.74/11.98 Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (Y2) = 88.74/11.98 (Y1))) | 88.74/11.98 (( 88.74/11.98 (Y2) = 88.74/11.98 (Y0)))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y3 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y3 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)) @ 88.74/11.98 ( 88.74/11.98 dsetconstr @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))) @ 88.74/11.98 ( 88.74/11.98 ^[Y4 : $i]: 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y5 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y5 @ 88.74/11.98 Y0) & 88.74/11.98 (( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y6 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y6 @ 88.74/11.98 Y1) & 88.74/11.98 (( 88.74/11.98 (Y4) = 88.74/11.98 (setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y5 @ 88.74/11.98 emptyset) @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y5 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y6 @ 88.74/11.98 emptyset)) @ 88.74/11.98 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/11.98 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl410])). 88.74/11.98 thf(zip_derived_cl425, plain, 88.74/11.98 (~ (((((!!) @ (^[Y0 : $o]: (((Y0) => (in @ emptyset @ (prop2set @ Y0))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $o]: (((Y0) => (set2prop @ (prop2set @ Y0))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.98 (((((~) @ (((??) @ (^[Y2 : $i]: 88.74/11.98 (((in @ Y2 @ Y0) & 88.74/11.98 (Y1 @ Y2)))))))) => 88.74/11.98 (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((in @ Y2 @ Y0) => 88.74/11.98 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.98 (((((~) @ (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((in @ Y2 @ 88.74/11.98 Y0) => (Y1 @ 88.74/11.98 Y2)))))))) => 88.74/11.98 (((??) @ (^[Y2 : $i]: 88.74/11.98 (((in @ Y2 @ Y0) & 88.74/11.98 (((~) @ (Y1 @ Y2)))))))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.98 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 88.74/11.98 (((((!!) @ (^[Y1 : $i]: 88.74/11.98 (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((Y0 @ Y1) => 88.74/11.98 (((Y0 @ Y2) => 88.74/11.98 (((Y1) = (Y2))))))))))))) => 88.74/11.98 (((??) @ (^[Y1 : $i]: 88.74/11.98 (((Y0 @ Y1) & 88.74/11.98 (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((Y0 @ Y2) => 88.74/11.98 (((Y1) = (Y2)))))))))))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.98 (((((??) @ (^[Y1 : $i]: 88.74/11.98 (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((Y0 @ Y2) <=> 88.74/11.98 (((Y2) = (Y1))))))))))) => 88.74/11.98 (((??) @ (^[Y1 : $i]: 88.74/11.98 (((Y0 @ Y1) & 88.74/11.98 (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((Y0 @ Y2) => 88.74/11.98 (((Y1) = (Y2)))))))))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : $i]: 88.74/11.98 (((((Y0) = (Y1))) => 88.74/11.98 (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (((((Y2) = 88.74/11.98 (Y3))) => 88.74/11.98 (((in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y3 @ Y1))))))))))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : $i]: 88.74/11.98 (((((Y0) = (Y1))) => 88.74/11.98 (((!!) @ (^[Y2 : $i]: 88.74/11.98 (((!!) @ ( 88.74/11.98 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(((((Y0) = (Y1))) => 88.74/11.98 (((powerset @ Y0) = 88.74/11.98 (powerset @ Y1))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : $i]: 88.74/11.98 (((((Y0) = (Y1))) => 88.74/11.98 (((setunion @ 88.74/11.98 Y0) = 88.74/11.98 (setunion @ Y1))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.98 (((((??) @ (^[Y1 : $i]: 88.74/11.98 (((Y0 @ Y1) & 88.74/11.98 (((!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (Y0 @ 88.74/11.98 Y2) => 88.74/11.98 (( 88.74/11.98 (Y1) = 88.74/11.98 (Y2))))))))))))) => 88.74/11.98 (((!!) @ (^[Y1 : $i]: 88.74/11.98 (((!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (((Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (Y0 @ 88.74/11.98 Y2) => 88.74/11.98 (( 88.74/11.98 (Y1) = 88.74/11.98 (Y2)))))))))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i > $o]: 88.74/11.98 (((!!) @ (^[Y1 : $i > $o]: 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i]: 88.74/11.98 (( 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(( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $i > $o]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y4 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y4 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y5 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y5 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (Y4) = 88.74/11.98 (Y5))) => 88.74/11.98 (( 88.74/11.98 (Y2 @ 88.74/11.98 Y4) <=> 88.74/11.98 (Y3 @ Y5))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (dsetconstr @ 88.74/11.98 Y0 @ 88.74/11.98 Y2) = 88.74/11.98 (dsetconstr @ 88.74/11.98 Y1 @ Y3))))))))))))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : $i]: 88.74/11.98 (((( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y1))))))))) => 88.74/11.98 (((((!!) @ (^[Y0 : $i]: 88.74/11.98 (((!!) @ (^[Y1 : 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88.74/11.98 (~) @ ( 88.74/11.98 subset @ 88.74/11.98 Y0 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (Y0) != 88.74/11.98 (Y1))))))))))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (((!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (Y0) != 88.74/11.98 (Y1)))))))))))))))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y0)))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y2) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y2)))))))))))))) => 88.74/11.98 (((((!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (((( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y2) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 setadjoin @ 88.74/11.98 Y1 @ Y2))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y1)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (Y0) = 88.74/11.98 (Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 emptyset) => 88.74/11.98 (( 88.74/11.98 (Y0) = 88.74/11.98 (emptyset)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0)) => 88.74/11.98 (subset @ 88.74/11.98 Y1 @ Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y0 @ 88.74/11.98 (powerset @ 88.74/11.98 Y0))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y0) @ 88.74/11.98 ( 88.74/11.98 powerset @ 88.74/11.98 Y1)))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i > $o]: 88.74/11.98 (in @ 88.74/11.98 (dsetconstr @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 (powerset @ 88.74/11.98 Y0)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i > $o]: 88.74/11.98 (subset @ 88.74/11.98 (dsetconstr @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (in @ 88.74/11.98 Y1 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y0 @ 88.74/11.98 (setadjoin @ 88.74/11.98 Y1 @ 88.74/11.98 emptyset))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $o]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (Y3))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (Y3))) => 88.74/11.98 (Y3))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) | 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 (binunion @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 (binunion @ 88.74/11.98 Y0 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (subset @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y0))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y1))) => 88.74/11.98 (subset @ 88.74/11.98 Y1 @ Y0))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 ( 88.74/11.98 (??) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) & 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y1))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y1 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y1))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (Y0))) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y1))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (binintersect @ 88.74/11.98 Y0 @ 88.74/11.98 ( 88.74/11.98 binunion @ 88.74/11.98 Y1 @ Y2)) = 88.74/11.98 (binunion @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 ( 88.74/11.98 binintersect @ 88.74/11.98 Y0 @ Y2))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y0)))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (subset @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ Y1)))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1)))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0)))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 setminus @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (subset @ 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ Y1) @ 88.74/11.98 Y0))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (setminus @ 88.74/11.98 Y0 @ 88.74/11.98 Y1) = 88.74/11.98 (emptyset))) => 88.74/11.98 (subset @ 88.74/11.98 Y0 @ Y1))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1)) => 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y3 : $o]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (Y3))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (Y3))))) => 88.74/11.98 (Y3))))))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y1))) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (~) @ ( 88.74/11.98 in @ 88.74/11.98 Y2 @ Y0))) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 ( 88.74/11.98 symdiff @ 88.74/11.98 Y0 @ Y1))))))))))))))) => 88.74/11.98 (( 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y0 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y1 : $i]: 88.74/11.98 (( 88.74/11.98 (!!) @ ( 88.74/11.98 ^[Y2 : $i]: 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y0) => 88.74/11.98 (( 88.74/11.98 (in @ 88.74/11.98 Y2 @ 88.74/11.98 Y1) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 (setunion @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setunion @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) = 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) = 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset) @ 88.74/11.99 Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (Y2) = 88.74/11.99 (Y1))) | 88.74/11.99 (( 88.74/11.99 (Y2) = 88.74/11.99 (Y0)))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 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(subset @ 88.74/11.99 Y0 @ Y0)))) => 88.74/11.99 (((((!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (((!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y2) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ Y2)))))))))))))) => 88.74/11.99 (((((!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ Y1)))))))) => 88.74/11.99 (((((!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y2) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ Y2))))))))))))) => 88.74/11.99 (((( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y1)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (Y0) = 88.74/11.99 (Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) => 88.74/11.99 (( 88.74/11.99 (Y0) = 88.74/11.99 (emptyset)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)) => 88.74/11.99 (subset @ 88.74/11.99 Y1 @ Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 (powerset @ 88.74/11.99 Y0))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y1)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i > $o]: 88.74/11.99 (in @ 88.74/11.99 (dsetconstr @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 (powerset @ 88.74/11.99 Y0)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i > $o]: 88.74/11.99 (subset @ 88.74/11.99 (dsetconstr @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $o]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (Y3))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (Y3))) => 88.74/11.99 (Y3))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) | 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 (binunion @ 88.74/11.99 Y0 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 (binunion @ 88.74/11.99 Y0 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y0))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y1))) => 88.74/11.99 (subset @ 88.74/11.99 Y1 @ Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 ( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) & 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y1))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y1))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y0))) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ Y1))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y1 @ Y2)) = 88.74/11.99 (binunion @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y2))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0)))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ Y1))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $o]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (Y3))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (Y3))))) => 88.74/11.99 (Y3))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 (setunion @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setunion @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) = 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) = 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset) @ 88.74/11.99 Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (Y2) = 88.74/11.99 (Y1))) | 88.74/11.99 (( 88.74/11.99 (Y2) = 88.74/11.99 (Y0)))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 dsetconstr @ 88.74/11.99 ( 88.74/11.99 powerset @ 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88.74/11.99 Y2) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ Y2))))))))))))) => 88.74/11.99 (((((!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y1)))))))))) => 88.74/11.99 (((( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (Y0) = 88.74/11.99 (Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) => 88.74/11.99 (( 88.74/11.99 (Y0) = 88.74/11.99 (emptyset)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)) => 88.74/11.99 (subset @ 88.74/11.99 Y1 @ Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 (powerset @ 88.74/11.99 Y0))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y1)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i > $o]: 88.74/11.99 (in @ 88.74/11.99 (dsetconstr @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 (powerset @ 88.74/11.99 Y0)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i > $o]: 88.74/11.99 (subset @ 88.74/11.99 (dsetconstr @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $o]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (Y3))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (Y3))) => 88.74/11.99 (Y3))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) | 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 (binunion @ 88.74/11.99 Y0 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 (binunion @ 88.74/11.99 Y0 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y0))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y1))) => 88.74/11.99 (subset @ 88.74/11.99 Y1 @ Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 ( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) & 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y1))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y1))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y0))) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ Y1))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y1 @ Y2)) = 88.74/11.99 (binunion @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y2))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0)))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ Y1))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $o]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (Y3))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (Y3))))) => 88.74/11.99 (Y3))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 (setunion @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setunion @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 (setadjoin @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) = 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 ( 88.74/11.99 setunion @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))) & 88.74/11.99 (( 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) = 88.74/11.99 (setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset) @ 88.74/11.99 Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (Y2) = 88.74/11.99 (Y1))) | 88.74/11.99 (( 88.74/11.99 (Y2) = 88.74/11.99 (Y0)))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 emptyset)) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y3 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 emptyset) @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setadjoin @ 88.74/11.99 Y3 @ 88.74/11.99 emptyset)) @ 88.74/11.99 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( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y1)))))))))) => 88.74/11.99 (((((!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (Y0) = 88.74/11.99 (Y1))))))))))))) => 88.74/11.99 (((( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 emptyset) => 88.74/11.99 (( 88.74/11.99 (Y0) = 88.74/11.99 (emptyset)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0)) => 88.74/11.99 (subset @ 88.74/11.99 Y1 @ Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y0 @ 88.74/11.99 (powerset @ 88.74/11.99 Y0))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y0) @ 88.74/11.99 ( 88.74/11.99 powerset @ 88.74/11.99 Y1)))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i > $o]: 88.74/11.99 (in @ 88.74/11.99 (dsetconstr @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 (powerset @ 88.74/11.99 Y0)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i > $o]: 88.74/11.99 (subset @ 88.74/11.99 (dsetconstr @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (in @ 88.74/11.99 Y1 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y0 @ 88.74/11.99 (setadjoin @ 88.74/11.99 Y1 @ 88.74/11.99 emptyset))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $o]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (Y3))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (Y3))) => 88.74/11.99 (Y3))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) | 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 (binunion @ 88.74/11.99 Y0 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 (binunion @ 88.74/11.99 Y0 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (subset @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y0))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y1))) => 88.74/11.99 (subset @ 88.74/11.99 Y1 @ Y0))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 ( 88.74/11.99 (??) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) & 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y1))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y1 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y1))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (Y0))) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ Y1))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (binintersect @ 88.74/11.99 Y0 @ 88.74/11.99 ( 88.74/11.99 binunion @ 88.74/11.99 Y1 @ Y2)) = 88.74/11.99 (binunion @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 ( 88.74/11.99 binintersect @ 88.74/11.99 Y0 @ Y2))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y0)))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (subset @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (in @ 88.74/11.99 Y2 @ Y1)))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1)))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0)))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 setminus @ 88.74/11.99 Y0 @ Y1))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (subset @ 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ Y1) @ 88.74/11.99 Y0))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (setminus @ 88.74/11.99 Y0 @ 88.74/11.99 Y1) = 88.74/11.99 (emptyset))) => 88.74/11.99 (subset @ 88.74/11.99 Y0 @ Y1))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y1 : $i]: 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y2 : $i]: 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 ( 88.74/11.99 symdiff @ 88.74/11.99 Y0 @ Y1)) => 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y3 : $o]: 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y0) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y1))) => 88.74/11.99 (Y3))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (~) @ ( 88.74/11.99 in @ 88.74/11.99 Y2 @ Y0))) => 88.74/11.99 (( 88.74/11.99 (in @ 88.74/11.99 Y2 @ 88.74/11.99 Y1) => 88.74/11.99 (Y3))))) => 88.74/11.99 (Y3))))))))))))))))))) => 88.74/11.99 (( 88.74/11.99 (( 88.74/11.99 (!!) @ ( 88.74/11.99 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset) @ 88.74/12.00 Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y1))) | 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y0)))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 dsetconstr @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))) @ 88.74/12.00 ( 88.74/12.00 ^[Y4 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y5 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y5 @ 88.74/12.00 Y0) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y6 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y6 @ 88.74/12.00 Y1) & 88.74/12.00 (( 88.74/12.00 (Y4) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y5 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y5 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y6 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl438])). 88.74/12.00 thf(zip_derived_cl463, plain, 88.74/12.00 (~ (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: (Y0 @ Y1)))) => 88.74/12.00 (((((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y1) => 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2))))))))))))) => 88.74/12.00 (((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2)))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) <=> 88.74/12.00 (((Y2) = (Y1))))))))))) => 88.74/12.00 (((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (((((Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (((in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y3 @ Y1))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (((( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) <=> 88.74/12.00 (in @ 88.74/12.00 Y3 @ Y1))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2))))))))))))) => 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y1) => 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.00 (((((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y2) <=> 88.74/12.00 (Y1 @ Y3))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) & 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (((Y0 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) <=> 88.74/12.00 (((??) @ (^[Y2 : $i]: 88.74/12.00 (((Y1 @ Y2) & 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (((Y1 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (((((Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (((setadjoin @ 88.74/12.00 Y0 @ Y2) = 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ Y3))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((powerset @ 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Y2) <=> 88.74/12.00 (Y1 @ Y3))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y2) & 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) => 88.74/12.00 (((((??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (((Y1 @ Y2) & 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y1 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) => 88.74/12.00 (((descr @ Y0) = 88.74/12.00 (descr @ Y1))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i > $o]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y4 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y4 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y5 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y5 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y4) = 88.74/12.00 (Y5))) => 88.74/12.00 (( 88.74/12.00 (Y2 @ 88.74/12.00 Y4) <=> 88.74/12.00 (Y3 @ Y5))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) = 88.74/12.00 (dsetconstr @ 88.74/12.00 Y1 @ Y3))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (((in @ Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ Y2 @ 88.74/12.00 Y1)))))) => 88.74/12.00 (subset @ Y0 @ Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (subset @ Y1 @ 88.74/12.00 Y0))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (subset @ emptyset @ Y0)))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 subset @ 88.74/12.00 Y0 @ Y1)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (((( 88.74/12.00 (~) @ ( 88.74/12.00 subset @ 88.74/12.00 Y0 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (Y0) != 88.74/12.00 (Y1))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (Y0) != 88.74/12.00 (Y1)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y0)))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y2) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y2)))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ Y2))))))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y1)))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (Y0) = 88.74/12.00 (Y1))))))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) => 88.74/12.00 (( 88.74/12.00 (Y0) = 88.74/12.00 (emptyset)))))))) => 88.74/12.00 (((( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)) => 88.74/12.00 (subset @ 88.74/12.00 Y1 @ Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 (powerset @ 88.74/12.00 Y0))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y1)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i > $o]: 88.74/12.00 (in @ 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 (powerset @ 88.74/12.00 Y0)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i > $o]: 88.74/12.00 (subset @ 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $o]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (Y3))) => 88.74/12.00 (Y3))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) | 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 (binunion @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 (binunion @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y0))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y1))) => 88.74/12.00 (subset @ 88.74/12.00 Y1 @ Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 ( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) & 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y1))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y1))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y0))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y1 @ Y2)) = 88.74/12.00 (binunion @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y2))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0)))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $o]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (Y3))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (Y3))))) => 88.74/12.00 (Y3))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset) @ 88.74/12.00 Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y1))) | 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y0)))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 dsetconstr @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))) @ 88.74/12.00 ( 88.74/12.00 ^[Y4 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y5 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y5 @ 88.74/12.00 Y0) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y6 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y6 @ 88.74/12.00 Y1) & 88.74/12.00 (( 88.74/12.00 (Y4) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y5 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y5 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y6 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl449])). 88.74/12.00 thf(zip_derived_cl472, plain, 88.74/12.00 (~ (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) <=> 88.74/12.00 (((Y2) = (Y1))))))))))) => 88.74/12.00 (((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (((((Y2) = (Y3))) => 88.74/12.00 (((in @ Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ Y3 @ 88.74/12.00 Y1))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (((((Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (((in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) <=> 88.74/12.00 (in @ 88.74/12.00 Y3 @ Y1))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2))))))))))))) => 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y1) => 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.00 (((((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y2) <=> 88.74/12.00 (Y1 @ Y3))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) & 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (((Y0 @ Y3) => 88.74/12.00 (((Y2) = 88.74/12.00 (Y3))))))))))))) <=> 88.74/12.00 (((??) @ (^[Y2 : $i]: 88.74/12.00 (((Y1 @ Y2) & 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (((Y1 @ Y3) => 88.74/12.00 (((Y2) = 88.74/12.00 (Y3))))))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) = 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ Y3))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((powerset @ Y0) = 88.74/12.00 (powerset @ Y1))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((setunion @ Y0) = 88.74/12.00 (setunion @ Y1))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ 88.74/12.00 Y2) => 88.74/12.00 (( 88.74/12.00 (Y1) = 88.74/12.00 (Y2))))))))))))) => 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y1) => 88.74/12.00 (((Y0 @ 88.74/12.00 Y2) => 88.74/12.00 (( 88.74/12.00 (Y1) = 88.74/12.00 (Y2)))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.00 (((((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y2) <=> 88.74/12.00 (Y1 @ Y3))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y2) & 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (Y1 @ 88.74/12.00 Y2) & 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y1 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) => 88.74/12.00 (((descr @ Y0) = 88.74/12.00 (descr @ Y1))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i > $o]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y4 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y4 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y5 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y5 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y4) = 88.74/12.00 (Y5))) => 88.74/12.00 (( 88.74/12.00 (Y2 @ 88.74/12.00 Y4) <=> 88.74/12.00 (Y3 @ Y5))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) = 88.74/12.00 (dsetconstr @ 88.74/12.00 Y1 @ Y3))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((!!) @ (^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))) => 88.74/12.00 (subset @ Y0 @ Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (subset @ Y1 @ Y0))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (subset @ Y0 @ 88.74/12.00 Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (subset @ emptyset @ Y0)))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 subset @ 88.74/12.00 Y0 @ Y1)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (((((~) @ ( 88.74/12.00 subset @ 88.74/12.00 Y0 @ Y1))) => 88.74/12.00 (((Y0) != 88.74/12.00 (Y1))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (Y0) != 88.74/12.00 (Y1)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y0)))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y2) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y2)))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ Y2))))))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y1)))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (Y0) = 88.74/12.00 (Y1))))))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) => 88.74/12.00 (( 88.74/12.00 (Y0) = 88.74/12.00 (emptyset)))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)))))))))) => 88.74/12.00 (((( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)) => 88.74/12.00 (subset @ 88.74/12.00 Y1 @ Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 (powerset @ 88.74/12.00 Y0))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y1)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i > $o]: 88.74/12.00 (in @ 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 (powerset @ 88.74/12.00 Y0)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i > $o]: 88.74/12.00 (subset @ 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $o]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (Y3))) => 88.74/12.00 (Y3))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) | 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 (binunion @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 (binunion @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y0))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y1))) => 88.74/12.00 (subset @ 88.74/12.00 Y1 @ Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 ( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) & 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y1))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y1))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y0))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y1 @ Y2)) = 88.74/12.00 (binunion @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y2))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0)))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $o]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (Y3))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (Y3))))) => 88.74/12.00 (Y3))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))) & 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset) @ 88.74/12.00 Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y1))) | 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y0)))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y3 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y3 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)) @ 88.74/12.00 ( 88.74/12.00 dsetconstr @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))) @ 88.74/12.00 ( 88.74/12.00 ^[Y4 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y5 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y5 @ 88.74/12.00 Y0) & 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y6 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y6 @ 88.74/12.00 Y1) & 88.74/12.00 (( 88.74/12.00 (Y4) = 88.74/12.00 (setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y5 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y5 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y6 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.00 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl463])). 88.74/12.00 thf(zip_derived_cl478, plain, 88.74/12.00 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (((((Y2) = (Y3))) => 88.74/12.00 (((in @ Y2 @ 88.74/12.00 Y0) => (in @ 88.74/12.00 Y3 @ Y1))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (((((Y2) = (Y3))) => 88.74/12.00 (((in @ Y2 @ 88.74/12.00 Y0) <=> 88.74/12.00 (in @ Y3 @ 88.74/12.00 Y1))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2))))))))))))) => 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y1) => 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.00 (((((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (((( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y2) <=> 88.74/12.00 (Y1 @ Y3))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) & 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) <=> 88.74/12.00 (((??) @ (^[Y2 : $i]: 88.74/12.00 (((Y1 @ Y2) & 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y1 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ (^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) = 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ Y3))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((powerset @ Y0) = (powerset @ 88.74/12.00 Y1))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((setunion @ Y0) = 88.74/12.00 (setunion @ Y1))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((((??) @ (^[Y1 : $i]: 88.74/12.00 (((Y0 @ Y1) & 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = 88.74/12.00 (Y2))))))))))))) => 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ Y1) => 88.74/12.00 (((Y0 @ Y2) => 88.74/12.00 (((Y1) = 88.74/12.00 (Y2)))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.00 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.00 (((((!!) @ (^[Y2 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y2) <=> 88.74/12.00 (Y1 @ Y3))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (((Y0 @ 88.74/12.00 Y2) & 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y0 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) => 88.74/12.00 (((((??) @ (^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (Y1 @ 88.74/12.00 Y2) & 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $i]: 88.74/12.00 (( 88.74/12.00 (Y1 @ 88.74/12.00 Y3) => 88.74/12.00 (( 88.74/12.00 (Y2) = 88.74/12.00 (Y3))))))))))))) => 88.74/12.00 (((descr @ Y0) = 88.74/12.00 (descr @ Y1))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y3 : $i > $o]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y4 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y4 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y5 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y5 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (Y4) = 88.74/12.00 (Y5))) => 88.74/12.00 (( 88.74/12.00 (Y2 @ 88.74/12.00 Y4) <=> 88.74/12.00 (Y3 @ Y5))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) = 88.74/12.00 (dsetconstr @ 88.74/12.00 Y1 @ Y3))))))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((!!) @ (^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))) => 88.74/12.00 (subset @ Y0 @ Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (subset @ Y1 @ Y0))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((Y0) = (Y1))) => 88.74/12.00 (subset @ Y0 @ Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (((in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))) => 88.74/12.00 (subset @ Y0 @ 88.74/12.00 Y1))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (subset @ emptyset @ Y0)))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 subset @ 88.74/12.00 Y0 @ Y1)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ (^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 subset @ 88.74/12.00 Y0 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (Y0) != 88.74/12.00 (Y1))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (Y0) != 88.74/12.00 (Y1)))))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (subset @ Y0 @ 88.74/12.00 Y0)))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y2) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y2)))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y2) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y1 @ Y2))))))))))))) => 88.74/12.00 (((((!!) @ (^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y1)))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (((!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (Y0) = 88.74/12.00 (Y1))))))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (((subset @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) => 88.74/12.00 (( 88.74/12.00 (Y0) = 88.74/12.00 (emptyset)))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)))))))))) => 88.74/12.00 (((((!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0)) => 88.74/12.00 (subset @ 88.74/12.00 Y1 @ Y0))))))))) => 88.74/12.00 (((( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 (powerset @ 88.74/12.00 Y0))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y0) @ 88.74/12.00 ( 88.74/12.00 powerset @ 88.74/12.00 Y1)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i > $o]: 88.74/12.00 (in @ 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 (powerset @ 88.74/12.00 Y0)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i > $o]: 88.74/12.00 (subset @ 88.74/12.00 (dsetconstr @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $o]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (Y3))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (Y3))) => 88.74/12.00 (Y3))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) | 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 (binunion @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 (binunion @ 88.74/12.00 Y0 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (subset @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y0))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y1))) => 88.74/12.00 (subset @ 88.74/12.00 Y1 @ Y0))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 ( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) & 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y1))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y1 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y1))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (Y0))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (binintersect @ 88.74/12.00 Y0 @ 88.74/12.00 ( 88.74/12.00 binunion @ 88.74/12.00 Y1 @ Y2)) = 88.74/12.00 (binunion @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 ( 88.74/12.00 binintersect @ 88.74/12.00 Y0 @ Y2))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y0)))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (subset @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ Y1)))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1)))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0)))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setminus @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (subset @ 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ Y1) @ 88.74/12.00 Y0))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (setminus @ 88.74/12.00 Y0 @ 88.74/12.00 Y1) = 88.74/12.00 (emptyset))) => 88.74/12.00 (subset @ 88.74/12.00 Y0 @ Y1))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1)) => 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y3 : $o]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (Y3))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (Y3))))) => 88.74/12.00 (Y3))))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y0) => 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 Y1) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y0))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ Y1))) => 88.74/12.00 (( 88.74/12.00 (~) @ ( 88.74/12.00 in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 symdiff @ 88.74/12.00 Y0 @ Y1))))))))))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y0 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (in @ 88.74/12.00 Y1 @ 88.74/12.00 (setunion @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 (setadjoin @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 (setadjoin @ 88.74/12.00 Y1 @ 88.74/12.00 emptyset)) @ 88.74/12.00 emptyset)))))))))) => 88.74/12.00 (( 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y0 : $i]: 88.74/12.00 (( 88.74/12.00 (!!) @ ( 88.74/12.00 ^[Y1 : $i]: 88.74/12.00 (( 88.74/12.00 (??) @ ( 88.74/12.00 ^[Y2 : $i]: 88.74/12.00 (( 88.74/12.00 (in @ 88.74/12.00 Y2 @ 88.74/12.00 ( 88.74/12.00 setunion @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 Y0 @ 88.74/12.00 emptyset) @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.00 ( 88.74/12.00 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 Y0))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y1))) | 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y0)))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 dsetconstr @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))) @ 88.74/12.01 ( 88.74/12.01 ^[Y4 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y5 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y5 @ 88.74/12.01 Y0) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y6 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y6 @ 88.74/12.01 Y1) & 88.74/12.01 (( 88.74/12.01 (Y4) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y5 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y5 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y6 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl472])). 88.74/12.01 thf(zip_derived_cl486, plain, 88.74/12.01 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((((Y2) = (Y3))) => 88.74/12.01 (((in @ Y2 @ 88.74/12.01 Y0) <=> (in @ 88.74/12.01 Y3 @ Y1))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((((??) @ (^[Y1 : $i]: 88.74/12.01 (((Y0 @ Y1) & 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2))))))))))))) => 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y1) => 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((((Y2) = 88.74/12.01 (Y3))) => 88.74/12.01 (((Y0 @ 88.74/12.01 Y2) <=> 88.74/12.01 (Y1 @ Y3))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) & 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (Y0 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) <=> 88.74/12.01 (((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y1 @ Y2) & 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (Y1 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))) => 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ Y2) = 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ Y3))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((powerset @ Y0) = (powerset @ 88.74/12.01 Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((setunion @ Y0) = (setunion @ 88.74/12.01 Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((((??) @ (^[Y1 : $i]: 88.74/12.01 (((Y0 @ Y1) & 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2))))))))))))) => 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y1) => 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (((( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))) => 88.74/12.01 (( 88.74/12.01 (Y0 @ 88.74/12.01 Y2) <=> 88.74/12.01 (Y1 @ Y3))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) & 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (Y0 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y1 @ 88.74/12.01 Y2) & 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (Y1 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) => 88.74/12.01 (((descr @ Y0) = 88.74/12.01 (descr @ Y1))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i > $o]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y4 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y4 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y5 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y5 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y4) = 88.74/12.01 (Y5))) => 88.74/12.01 (( 88.74/12.01 (Y2 @ 88.74/12.01 Y4) <=> 88.74/12.01 (Y3 @ Y5))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ 88.74/12.01 Y2) = 88.74/12.01 (dsetconstr @ 88.74/12.01 Y1 @ Y3))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (subset @ Y1 @ Y0))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (((in @ Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ Y2 @ 88.74/12.01 Y1)))))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (subset @ emptyset @ Y0)))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (((subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 subset @ 88.74/12.01 Y0 @ Y1)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 subset @ 88.74/12.01 Y0 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (Y0) != 88.74/12.01 (Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (Y0) != 88.74/12.01 (Y1)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (subset @ Y0 @ Y0)))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y2) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y2)))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y2) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ Y2))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y1)))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (Y0) = 88.74/12.01 (Y1))))))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (((subset @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) => 88.74/12.01 (((Y0) = 88.74/12.01 (emptyset)))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)) => 88.74/12.01 (subset @ 88.74/12.01 Y1 @ Y0))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 (powerset @ 88.74/12.01 Y0))))) => 88.74/12.01 (((( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y1)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i > $o]: 88.74/12.01 (in @ 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 (powerset @ 88.74/12.01 Y0)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i > $o]: 88.74/12.01 (subset @ 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $o]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (Y3))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (Y3))) => 88.74/12.01 (Y3))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) | 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 (binunion @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 (binunion @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y0))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y1))) => 88.74/12.01 (subset @ 88.74/12.01 Y1 @ Y0))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 ( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) & 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y1))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y1))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y0))) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y1))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y1 @ Y2)) = 88.74/12.01 (binunion @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y2))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0)))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y1))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $o]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (Y3))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (Y3))))) => 88.74/12.01 (Y3))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 (setunion @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setunion @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 Y0))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y1))) | 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y0)))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 dsetconstr @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))) @ 88.74/12.01 ( 88.74/12.01 ^[Y4 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y5 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y5 @ 88.74/12.01 Y0) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y6 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y6 @ 88.74/12.01 Y1) & 88.74/12.01 (( 88.74/12.01 (Y4) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y5 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y5 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y6 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl478])). 88.74/12.01 thf(zip_derived_cl494, plain, 88.74/12.01 (~ (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((((??) @ (^[Y1 : $i]: 88.74/12.01 (((Y0 @ Y1) & 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2))))))))))))) => 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y1) => 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((((Y2) = (Y3))) => 88.74/12.01 (((Y0 @ 88.74/12.01 Y2) <=> 88.74/12.01 (Y1 @ Y3))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) & 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((Y0 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) <=> 88.74/12.01 (((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y1 @ Y2) & 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((Y1 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((((Y2) = 88.74/12.01 (Y3))) => 88.74/12.01 (((setadjoin @ 88.74/12.01 Y0 @ Y2) = 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ Y3))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((powerset @ Y0) = (powerset @ Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((setunion @ Y0) = (setunion @ 88.74/12.01 Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((((??) @ (^[Y1 : $i]: 88.74/12.01 (((Y0 @ Y1) & 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2))))))))))))) => 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y1) => 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (((((Y2) = 88.74/12.01 (Y3))) => 88.74/12.01 (((Y0 @ 88.74/12.01 Y2) <=> 88.74/12.01 (Y1 @ Y3))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) & 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (Y0 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y1 @ Y2) & 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (Y1 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) => 88.74/12.01 (((descr @ Y0) = (descr @ 88.74/12.01 Y1))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i > $o]: 88.74/12.01 (((( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y4 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y4 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y5 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y5 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y4) = 88.74/12.01 (Y5))) => 88.74/12.01 (( 88.74/12.01 (Y2 @ 88.74/12.01 Y4) <=> 88.74/12.01 (Y3 @ Y5))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ Y2) = 88.74/12.01 (dsetconstr @ 88.74/12.01 Y1 @ Y3))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((in @ Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ Y2 @ 88.74/12.01 Y1)))))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (subset @ Y1 @ Y0))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (subset @ emptyset @ Y0)))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (((subset @ 88.74/12.01 Y0 @ Y1) => 88.74/12.01 (((in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (((subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ Y2 @ 88.74/12.01 Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ Y2 @ 88.74/12.01 Y0)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 subset @ 88.74/12.01 Y0 @ Y1)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((( 88.74/12.01 (~) @ ( 88.74/12.01 subset @ 88.74/12.01 Y0 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (Y0) != 88.74/12.01 (Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (Y0) != 88.74/12.01 (Y1)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (subset @ Y0 @ Y0)))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y2) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y2)))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y2) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ Y2))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y1)))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (Y0) = 88.74/12.01 (Y1))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) => 88.74/12.01 (( 88.74/12.01 (Y0) = 88.74/12.01 (emptyset)))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)) => 88.74/12.01 (subset @ 88.74/12.01 Y1 @ Y0))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y1)))))))))) => 88.74/12.01 (((( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i > $o]: 88.74/12.01 (in @ 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 (powerset @ 88.74/12.01 Y0)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i > $o]: 88.74/12.01 (subset @ 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $o]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (Y3))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (Y3))) => 88.74/12.01 (Y3))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) | 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 (binunion @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 (binunion @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y0))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y1))) => 88.74/12.01 (subset @ 88.74/12.01 Y1 @ Y0))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 ( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) & 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y1))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y1))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y0))) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y1))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y1 @ Y2)) = 88.74/12.01 (binunion @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y2))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0)))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y1))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $o]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (Y3))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (Y3))))) => 88.74/12.01 (Y3))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 (setunion @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setunion @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 Y0))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y1))) | 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y0)))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 dsetconstr @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))) @ 88.74/12.01 ( 88.74/12.01 ^[Y4 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y5 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y5 @ 88.74/12.01 Y0) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y6 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y6 @ 88.74/12.01 Y1) & 88.74/12.01 (( 88.74/12.01 (Y4) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y5 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y5 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y6 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.01 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl486])). 88.74/12.01 thf(zip_derived_cl502, plain, 88.74/12.01 (~ (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((((Y2) = (Y3))) => 88.74/12.01 (((Y0 @ Y2) <=> 88.74/12.01 (Y1 @ Y3))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) & 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((Y0 @ Y3) => 88.74/12.01 (((Y2) = 88.74/12.01 (Y3))))))))))))) <=> 88.74/12.01 (((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y1 @ Y2) & 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((Y1 @ Y3) => 88.74/12.01 (((Y2) = 88.74/12.01 (Y3))))))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (((((Y2) = (Y3))) => 88.74/12.01 (((setadjoin @ 88.74/12.01 Y0 @ Y2) = 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ Y3))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((powerset @ Y0) = (powerset @ Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((setunion @ Y0) = (setunion @ Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((((??) @ (^[Y1 : $i]: 88.74/12.01 (((Y0 @ Y1) & 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2))))))))))))) => 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y1) => 88.74/12.01 (((Y0 @ Y2) => 88.74/12.01 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.01 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((!!) @ (^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))) => 88.74/12.01 (( 88.74/12.01 (Y0 @ 88.74/12.01 Y2) <=> 88.74/12.01 (Y1 @ Y3))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y0 @ Y2) & 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (((Y0 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) => 88.74/12.01 (((((??) @ (^[Y2 : $i]: 88.74/12.01 (((Y1 @ Y2) & 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (Y1 @ 88.74/12.01 Y3) => 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y3))))))))))))) => 88.74/12.01 (((descr @ Y0) = (descr @ 88.74/12.01 Y1))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y3 : $i > $o]: 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y4 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y4 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y5 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y5 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y4) = 88.74/12.01 (Y5))) => 88.74/12.01 (( 88.74/12.01 (Y2 @ 88.74/12.01 Y4) <=> 88.74/12.01 (Y3 @ Y5))))))))))))))) => 88.74/12.01 (((dsetconstr @ 88.74/12.01 Y0 @ Y2) = 88.74/12.01 (dsetconstr @ 88.74/12.01 Y1 @ Y3))))))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (((in @ Y2 @ 88.74/12.01 Y0) => (in @ 88.74/12.01 Y2 @ Y1)))))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (subset @ Y1 @ Y0))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((Y0) = (Y1))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((!!) @ (^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))) => 88.74/12.01 (subset @ Y0 @ Y1))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ (^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (((subset @ 88.74/12.01 Y0 @ Y1) => 88.74/12.01 (((( 88.74/12.01 (~) @ ( 88.74/12.01 in @ Y2 @ 88.74/12.01 Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ Y2 @ 88.74/12.01 Y0)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (((in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ Y2 @ 88.74/12.01 Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 subset @ 88.74/12.01 Y0 @ Y1)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((((~) @ ( 88.74/12.01 subset @ 88.74/12.01 Y0 @ Y1))) => 88.74/12.01 (((Y0) != 88.74/12.01 (Y1))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (Y0) != 88.74/12.01 (Y1)))))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (subset @ Y0 @ Y0)))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ (^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y2) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y2)))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y2) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ Y2))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y1)))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (Y0) = 88.74/12.01 (Y1))))))))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) => 88.74/12.01 (( 88.74/12.01 (Y0) = 88.74/12.01 (emptyset)))))))) => 88.74/12.01 (((((!!) @ (^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (((!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)) => 88.74/12.01 (subset @ 88.74/12.01 Y1 @ Y0))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (in @ Y0 @ 88.74/12.01 (powerset @ 88.74/12.01 Y0))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y1)))))))))) => 88.74/12.01 (((((!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i > $o]: 88.74/12.01 (in @ 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 (powerset @ 88.74/12.01 Y0)))))))) => 88.74/12.01 (((( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i > $o]: 88.74/12.01 (subset @ 88.74/12.01 (dsetconstr @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $o]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (Y3))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (Y3))) => 88.74/12.01 (Y3))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) | 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 (binunion @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 (binunion @ 88.74/12.01 Y0 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y0))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y1))) => 88.74/12.01 (subset @ 88.74/12.01 Y1 @ Y0))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 ( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) & 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y1))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y1))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (Y0))) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y1))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (binintersect @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y1 @ Y2)) = 88.74/12.01 (binunion @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 ( 88.74/12.01 binintersect @ 88.74/12.01 Y0 @ Y2))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y0)))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (subset @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1)))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0)))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setminus @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (subset @ 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ Y1) @ 88.74/12.01 Y0))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (setminus @ 88.74/12.01 Y0 @ 88.74/12.01 Y1) = 88.74/12.01 (emptyset))) => 88.74/12.01 (subset @ 88.74/12.01 Y0 @ Y1))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1)) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $o]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (Y3))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (Y3))))) => 88.74/12.01 (Y3))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y1) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y0))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ Y1))) => 88.74/12.01 (( 88.74/12.01 (~) @ ( 88.74/12.01 in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 symdiff @ 88.74/12.01 Y0 @ Y1))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y0 @ 88.74/12.01 (setunion @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 (setunion @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 (setadjoin @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 (setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (??) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 ( 88.74/12.01 setunion @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))) & 88.74/12.01 (( 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) = 88.74/12.01 (setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 Y0))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y1 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 Y0)))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y0 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y1 @ 88.74/12.01 emptyset))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y1))) | 88.74/12.01 (( 88.74/12.01 (Y2) = 88.74/12.01 (Y0)))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (subset @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y1 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y2 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y2 @ 88.74/12.01 Y0) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y3 : $i]: 88.74/12.01 (( 88.74/12.01 (in @ 88.74/12.01 Y3 @ 88.74/12.01 Y1) => 88.74/12.01 (in @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 emptyset) @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y2 @ 88.74/12.01 ( 88.74/12.01 setadjoin @ 88.74/12.01 Y3 @ 88.74/12.01 emptyset)) @ 88.74/12.01 emptyset)) @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 powerset @ 88.74/12.01 ( 88.74/12.01 binunion @ 88.74/12.01 Y0 @ Y1)))))))))))))))))))) => 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.01 ^[Y0 : $i]: 88.74/12.01 (( 88.74/12.01 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 dsetconstr @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))) @ 88.74/12.02 ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y0) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y6 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y6 @ 88.74/12.02 Y1) & 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y6 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl494])). 88.74/12.02 thf(zip_derived_cl510, plain, 88.74/12.02 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (((((Y2) = (Y3))) => 88.74/12.02 (((setadjoin @ 88.74/12.02 Y0 @ Y2) = 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ Y3))))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((powerset @ Y0) = (powerset @ Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((setunion @ Y0) = (setunion @ Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((((??) @ (^[Y1 : $i]: 88.74/12.02 (((Y0 @ Y1) & 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2))))))))))))) => 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y1) => 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))) => 88.74/12.02 (( 88.74/12.02 (Y0 @ 88.74/12.02 Y2) <=> 88.74/12.02 (Y1 @ Y3))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) & 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (((Y0 @ Y3) => 88.74/12.02 (((Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y1 @ Y2) & 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (((Y1 @ 88.74/12.02 Y3) => 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((descr @ Y0) = (descr @ Y1))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y3 : $i > $o]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y4 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (Y5))) => 88.74/12.02 (( 88.74/12.02 (Y2 @ 88.74/12.02 Y4) <=> 88.74/12.02 (Y3 @ Y5))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ 88.74/12.02 Y2) = 88.74/12.02 (dsetconstr @ 88.74/12.02 Y1 @ Y3))))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ 88.74/12.02 Y0) => (in @ 88.74/12.02 Y2 @ Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (subset @ Y1 @ Y0))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (((( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 subset @ 88.74/12.02 Y0 @ Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((~) @ ( 88.74/12.02 subset @ 88.74/12.02 Y0 @ Y1))) => 88.74/12.02 (((Y0) != (Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (Y0) != 88.74/12.02 (Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (subset @ Y0 @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y2)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ Y2))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 (powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (Y0) = 88.74/12.02 (Y1))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) => 88.74/12.02 (( 88.74/12.02 (Y0) = 88.74/12.02 (emptyset)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (in @ Y0 @ 88.74/12.02 (powerset @ 88.74/12.02 Y0))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (in @ 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 (powerset @ 88.74/12.02 Y0)))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (subset @ 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (((( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $o]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (Y3))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (Y3))) => 88.74/12.02 (Y3))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) | 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 ( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) & 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y1))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y1 @ Y2)) = 88.74/12.02 (binunion @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y2))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0)))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $o]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (Y3))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (Y3))))) => 88.74/12.02 (Y3))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 (setunion @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setunion @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset) @ 88.74/12.02 Y0))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y1))) | 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y0)))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 dsetconstr @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))) @ 88.74/12.02 ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y0) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y6 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y6 @ 88.74/12.02 Y1) & 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y6 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl502])). 88.74/12.02 thf(zip_derived_cl523, plain, 88.74/12.02 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((powerset @ Y0) = (powerset @ Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((setunion @ Y0) = (setunion @ Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((((??) @ (^[Y1 : $i]: 88.74/12.02 (((Y0 @ Y1) & 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2))))))))))))) => 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y1) => 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (((( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))) => 88.74/12.02 (( 88.74/12.02 (Y0 @ 88.74/12.02 Y2) <=> 88.74/12.02 (Y1 @ Y3))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) & 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (Y0 @ 88.74/12.02 Y3) => 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y1 @ Y2) & 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (((Y1 @ Y3) => 88.74/12.02 (((Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((descr @ Y0) = (descr @ Y1))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y3 : $i > $o]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y4 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (Y5))) => 88.74/12.02 (( 88.74/12.02 (Y2 @ 88.74/12.02 Y4) <=> 88.74/12.02 (Y3 @ Y5))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ 88.74/12.02 Y2) = 88.74/12.02 (dsetconstr @ 88.74/12.02 Y1 @ Y3))))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ Y0) => 88.74/12.02 (in @ Y2 @ Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ Y2 @ 88.74/12.02 Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 subset @ 88.74/12.02 Y0 @ Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((~) @ ( 88.74/12.02 subset @ Y0 @ 88.74/12.02 Y1))) => 88.74/12.02 (((Y0) != (Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (((in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y1))) => 88.74/12.02 (( 88.74/12.02 (Y0) != 88.74/12.02 (Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (subset @ Y0 @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y2)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ Y2))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ Y1) => 88.74/12.02 (in @ Y0 @ 88.74/12.02 (powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (Y0) = 88.74/12.02 (Y1))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) => 88.74/12.02 (((Y0) = 88.74/12.02 (emptyset)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 (powerset @ 88.74/12.02 Y0))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (in @ 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 (powerset @ 88.74/12.02 Y0)))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (subset @ 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (((( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $o]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (Y3))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (Y3))) => 88.74/12.02 (Y3))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) | 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 ( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) & 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y1))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y1 @ Y2)) = 88.74/12.02 (binunion @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y2))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0)))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $o]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (Y3))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (Y3))))) => 88.74/12.02 (Y3))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 (setunion @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setunion @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset) @ 88.74/12.02 Y0))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y1))) | 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y0)))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 dsetconstr @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))) @ 88.74/12.02 ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y0) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y6 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y6 @ 88.74/12.02 Y1) & 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y6 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl510])). 88.74/12.02 thf(zip_derived_cl539, plain, 88.74/12.02 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((setunion @ Y0) = (setunion @ Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((((??) @ (^[Y1 : $i]: 88.74/12.02 (((Y0 @ Y1) & 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2))))))))))))) => 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y1) => 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (((((Y2) = 88.74/12.02 (Y3))) => 88.74/12.02 (((Y0 @ 88.74/12.02 Y2) <=> 88.74/12.02 (Y1 @ Y3))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) & 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (Y0 @ 88.74/12.02 Y3) => 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y1 @ Y2) & 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (Y1 @ 88.74/12.02 Y3) => 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((descr @ Y0) = (descr @ Y1))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y3 : $i > $o]: 88.74/12.02 (((( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y4 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (Y5))) => 88.74/12.02 (( 88.74/12.02 (Y2 @ 88.74/12.02 Y4) <=> 88.74/12.02 (Y3 @ Y5))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ Y2) = 88.74/12.02 (dsetconstr @ 88.74/12.02 Y1 @ Y3))))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ Y0) => 88.74/12.02 (in @ Y2 @ Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ 88.74/12.02 Y0) => (in @ 88.74/12.02 Y2 @ Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ Y1) => 88.74/12.02 (((in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y0)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 subset @ 88.74/12.02 Y0 @ Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((~) @ (subset @ 88.74/12.02 Y0 @ Y1))) => 88.74/12.02 (((Y0) != (Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (((( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y1))) => 88.74/12.02 (( 88.74/12.02 (Y0) != 88.74/12.02 (Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y2)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ Y2))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ Y1) => 88.74/12.02 (((subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (Y0) = 88.74/12.02 (Y1))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) => 88.74/12.02 (((Y0) = 88.74/12.02 (emptyset)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (subset @ 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))))))))) => 88.74/12.02 (((( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $o]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (Y3))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (Y3))) => 88.74/12.02 (Y3))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) | 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 ( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) & 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y1))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y1 @ Y2)) = 88.74/12.02 (binunion @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y2))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1)))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0)))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setminus @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (setminus @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $o]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (Y3))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (Y3))))) => 88.74/12.02 (Y3))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y0))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 symdiff @ 88.74/12.02 Y0 @ Y1))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 (setunion @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setunion @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 (setadjoin @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 ( 88.74/12.02 setunion @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))) & 88.74/12.02 (( 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset) @ 88.74/12.02 Y0))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y1))) | 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y0)))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y3 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y3 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)) @ 88.74/12.02 ( 88.74/12.02 dsetconstr @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))) @ 88.74/12.02 ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y0) & 88.74/12.02 (( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y6 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y6 @ 88.74/12.02 Y1) & 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 emptyset) @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y5 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y6 @ 88.74/12.02 emptyset)) @ 88.74/12.02 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.02 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl523])). 88.74/12.02 thf(zip_derived_cl554, plain, 88.74/12.02 (~ (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((((??) @ (^[Y1 : $i]: 88.74/12.02 (((Y0 @ Y1) & 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2))))))))))))) => 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y1) => 88.74/12.02 (((Y0 @ Y2) => 88.74/12.02 (((Y1) = (Y2)))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (((((Y2) = (Y3))) => 88.74/12.02 (((Y0 @ 88.74/12.02 Y2) <=> 88.74/12.02 (Y1 @ Y3))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y0 @ Y2) & 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (((Y0 @ 88.74/12.02 Y3) => 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((((??) @ (^[Y2 : $i]: 88.74/12.02 (((Y1 @ Y2) & 88.74/12.02 (((!!) @ (^[Y3 : $i]: 88.74/12.02 (( 88.74/12.02 (Y1 @ 88.74/12.02 Y3) => 88.74/12.02 (( 88.74/12.02 (Y2) = 88.74/12.02 (Y3))))))))))))) => 88.74/12.02 (((descr @ Y0) = (descr @ Y1))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => 88.74/12.02 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.02 (((!!) @ (^[Y3 : $i > $o]: 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y4 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y4 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y5 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y5 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (Y4) = 88.74/12.02 (Y5))) => 88.74/12.02 (( 88.74/12.02 (Y2 @ 88.74/12.02 Y4) <=> 88.74/12.02 (Y3 @ Y5))))))))))))))) => 88.74/12.02 (((dsetconstr @ 88.74/12.02 Y0 @ Y2) = 88.74/12.02 (dsetconstr @ 88.74/12.02 Y1 @ Y3))))))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ Y0) => 88.74/12.02 (in @ Y2 @ Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => (subset @ Y1 @ 88.74/12.02 Y0))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((Y0) = (Y1))) => (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ Y2 @ 88.74/12.02 Y0) => (in @ 88.74/12.02 Y2 @ Y1)))))) => 88.74/12.02 (subset @ Y0 @ Y1))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ Y1) => 88.74/12.02 (((in @ Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ Y2 @ 88.74/12.02 Y1)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ Y1) => 88.74/12.02 (((( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y0)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (((in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ Y2 @ 88.74/12.02 Y1))) => 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 subset @ 88.74/12.02 Y0 @ Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((((~) @ (subset @ 88.74/12.02 Y0 @ Y1))) => 88.74/12.02 (((Y0) != (Y1))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ (^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 in @ 88.74/12.02 Y2 @ Y1))) => 88.74/12.02 (( 88.74/12.02 (Y0) != 88.74/12.02 (Y1)))))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y2)))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y2) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 setadjoin @ 88.74/12.02 Y1 @ Y2))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ (^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (Y0) = 88.74/12.02 (Y1))))))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((subset @ Y0 @ 88.74/12.02 emptyset) => 88.74/12.02 (((Y0) = 88.74/12.02 (emptyset)))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (((subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (powerset @ 88.74/12.02 Y0)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0)) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (in @ Y0 @ 88.74/12.02 (powerset @ 88.74/12.02 Y0))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y0) @ 88.74/12.02 ( 88.74/12.02 powerset @ 88.74/12.02 Y1)))))))))) => 88.74/12.02 (((((!!) @ (^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (in @ 88.74/12.02 (dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 (powerset @ 88.74/12.02 Y0)))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i > $o]: 88.74/12.02 (subset @ 88.74/12.02 ( 88.74/12.02 dsetconstr @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (((!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (in @ 88.74/12.02 Y1 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y0 @ 88.74/12.02 (setadjoin @ 88.74/12.02 Y1 @ 88.74/12.02 emptyset))))))))) => 88.74/12.02 (((((!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1))))))))))))) => 88.74/12.02 (((( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y3 : $o]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (Y3))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (Y3))) => 88.74/12.02 (Y3))))))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) | 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 (binunion @ 88.74/12.02 Y0 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 Y1) => 88.74/12.02 (subset @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1))))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y0)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y0))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))) => 88.74/12.02 (subset @ 88.74/12.02 Y1 @ Y0))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1)) => 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (~) @ ( 88.74/12.02 ( 88.74/12.02 (??) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (in @ 88.74/12.02 Y2 @ 88.74/12.02 Y0) & 88.74/12.02 (in @ 88.74/12.02 Y2 @ Y1)))))))) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (emptyset))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (subset @ 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 Y1))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (subset @ 88.74/12.02 Y1 @ 88.74/12.02 Y0) => 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y1))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 Y1) = 88.74/12.02 (Y0))) => 88.74/12.02 (subset @ 88.74/12.02 Y0 @ Y1))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y0 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y1 : $i]: 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.02 ^[Y2 : $i]: 88.74/12.02 (( 88.74/12.02 (binintersect @ 88.74/12.02 Y0 @ 88.74/12.02 ( 88.74/12.02 binunion @ 88.74/12.02 Y1 @ Y2)) = 88.74/12.02 (binunion @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y1) @ 88.74/12.02 ( 88.74/12.02 binintersect @ 88.74/12.02 Y0 @ Y2))))))))))))) => 88.74/12.02 (( 88.74/12.02 (( 88.74/12.02 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y1))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $o]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (Y3))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (Y3))))) => 88.74/12.03 (Y3))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y0 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 Y0))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y1))) | 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 dsetconstr @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))) @ 88.74/12.03 ( 88.74/12.03 ^[Y4 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y5 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y5 @ 88.74/12.03 Y0) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y6 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y6 @ 88.74/12.03 Y1) & 88.74/12.03 (( 88.74/12.03 (Y4) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y6 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl539])). 88.74/12.03 thf(zip_derived_cl571, plain, 88.74/12.03 (~ (((((!!) @ (^[Y0 : $i > $o]: 88.74/12.03 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((!!) @ (^[Y3 : $i]: 88.74/12.03 (((((Y2) = (Y3))) => 88.74/12.03 (((Y0 @ Y2) <=> 88.74/12.03 (Y1 @ Y3))))))))))) => 88.74/12.03 (((((??) @ (^[Y2 : $i]: 88.74/12.03 (((Y0 @ Y2) & 88.74/12.03 (((!!) @ (^[Y3 : $i]: 88.74/12.03 (((Y0 @ Y3) => 88.74/12.03 (((Y2) = 88.74/12.03 (Y3))))))))))))) => 88.74/12.03 (((((??) @ (^[Y2 : $i]: 88.74/12.03 (((Y1 @ Y2) & 88.74/12.03 (((!!) @ (^[Y3 : $i]: 88.74/12.03 (((Y1 @ 88.74/12.03 Y3) => 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y3))))))))))))) => 88.74/12.03 (((descr @ Y0) = (descr @ Y1))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => 88.74/12.03 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.03 (((!!) @ (^[Y3 : $i > $o]: 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y4 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y4 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y5 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y5 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (Y4) = 88.74/12.03 (Y5))) => 88.74/12.03 (( 88.74/12.03 (Y2 @ 88.74/12.03 Y4) <=> 88.74/12.03 (Y3 @ Y5))))))))))))))) => 88.74/12.03 (((dsetconstr @ 88.74/12.03 Y0 @ Y2) = 88.74/12.03 (dsetconstr @ 88.74/12.03 Y1 @ Y3))))))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => (in @ 88.74/12.03 Y2 @ Y1)))))) => 88.74/12.03 (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y1 @ 88.74/12.03 Y0))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y0 @ 88.74/12.03 Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => 88.74/12.03 (in @ Y2 @ Y1)))))) => 88.74/12.03 (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (((in @ Y2 @ 88.74/12.03 Y0) => (in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ Y1) => 88.74/12.03 (((((~) @ ( 88.74/12.03 in @ Y2 @ 88.74/12.03 Y1))) => 88.74/12.03 (((~) @ ( 88.74/12.03 in @ Y2 @ 88.74/12.03 Y0)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (((( 88.74/12.03 (~) @ ( 88.74/12.03 in @ Y2 @ 88.74/12.03 Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 subset @ 88.74/12.03 Y0 @ Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((~) @ (subset @ 88.74/12.03 Y0 @ Y1))) => 88.74/12.03 (((Y0) != (Y1))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (Y0) != 88.74/12.03 (Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ Y1) => 88.74/12.03 (((subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y2) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y2)))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (subset @ Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y2) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ Y2))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y0 @ 88.74/12.03 (powerset @ 88.74/12.03 Y1)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (Y0) = 88.74/12.03 (Y1))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 emptyset) => 88.74/12.03 (((Y0) = 88.74/12.03 (emptyset)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y1 @ Y0) => 88.74/12.03 (in @ Y1 @ 88.74/12.03 (powerset @ 88.74/12.03 Y0)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (((in @ 88.74/12.03 Y1 @ 88.74/12.03 (powerset @ 88.74/12.03 Y0)) => 88.74/12.03 (subset @ 88.74/12.03 Y1 @ Y0))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (in @ Y0 @ 88.74/12.03 (powerset @ 88.74/12.03 Y0))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y1)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i > $o]: 88.74/12.03 (in @ 88.74/12.03 (dsetconstr @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 (powerset @ 88.74/12.03 Y0)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i > $o]: 88.74/12.03 (subset @ 88.74/12.03 (dsetconstr @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $o]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (Y3))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (Y3))) => 88.74/12.03 (Y3))))))))))))))))))) => 88.74/12.03 (((( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) | 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 (binunion @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 (binunion @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y0))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y1))) => 88.74/12.03 (subset @ 88.74/12.03 Y1 @ Y0))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 ( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) & 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y1))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y1))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y0))) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y1))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y1 @ Y2)) = 88.74/12.03 (binunion @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y2))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y1))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $o]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (Y3))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (Y3))))) => 88.74/12.03 (Y3))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y0 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 Y0))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y1))) | 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 dsetconstr @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))) @ 88.74/12.03 ( 88.74/12.03 ^[Y4 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y5 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y5 @ 88.74/12.03 Y0) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y6 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y6 @ 88.74/12.03 Y1) & 88.74/12.03 (( 88.74/12.03 (Y4) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y6 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl554])). 88.74/12.03 thf(zip_derived_cl588, plain, 88.74/12.03 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => 88.74/12.03 (((!!) @ (^[Y2 : $i > $o]: 88.74/12.03 (((!!) @ (^[Y3 : $i > $o]: 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y4 : $i]: 88.74/12.03 (((in @ 88.74/12.03 Y4 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y5 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y5 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (Y4) = 88.74/12.03 (Y5))) => 88.74/12.03 (( 88.74/12.03 (Y2 @ 88.74/12.03 Y4) <=> 88.74/12.03 (Y3 @ Y5))))))))))))))) => 88.74/12.03 (((dsetconstr @ 88.74/12.03 Y0 @ Y2) = 88.74/12.03 (dsetconstr @ 88.74/12.03 Y1 @ Y3))))))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => (in @ 88.74/12.03 Y2 @ Y1)))))) => 88.74/12.03 (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y1 @ Y0))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y0 @ 88.74/12.03 Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => 88.74/12.03 (in @ Y2 @ Y1)))))) => 88.74/12.03 (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (((in @ Y2 @ 88.74/12.03 Y0) => (in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (((((~) @ ( 88.74/12.03 in @ Y2 @ Y1))) => 88.74/12.03 (((~) @ ( 88.74/12.03 in @ Y2 @ Y0)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (((((~) @ ( 88.74/12.03 in @ Y2 @ 88.74/12.03 Y1))) => 88.74/12.03 (((~) @ ( 88.74/12.03 subset @ 88.74/12.03 Y0 @ Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((~) @ (subset @ Y0 @ 88.74/12.03 Y1))) => 88.74/12.03 (((Y0) != (Y1))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ Y2 @ 88.74/12.03 Y1))) => 88.74/12.03 (( 88.74/12.03 (Y0) != 88.74/12.03 (Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y2) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y2)))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (subset @ Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y2) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ Y2))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ Y1) => 88.74/12.03 (in @ Y0 @ 88.74/12.03 (powerset @ 88.74/12.03 Y1)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (Y0) = 88.74/12.03 (Y1))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 emptyset) => 88.74/12.03 (((Y0) = (emptyset)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (((in @ Y1 @ 88.74/12.03 (powerset @ 88.74/12.03 Y0)) => 88.74/12.03 (subset @ 88.74/12.03 Y1 @ Y0))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (in @ Y0 @ 88.74/12.03 (powerset @ Y0))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y1)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i > $o]: 88.74/12.03 (in @ 88.74/12.03 (dsetconstr @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 (powerset @ 88.74/12.03 Y0)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i > $o]: 88.74/12.03 (subset @ 88.74/12.03 (dsetconstr @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $o]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (Y3))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (Y3))) => 88.74/12.03 (Y3))))))))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) | 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))))) => 88.74/12.03 (((( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 (binunion @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 (binunion @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y0))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y1))) => 88.74/12.03 (subset @ 88.74/12.03 Y1 @ Y0))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 ( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) & 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y1))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y1))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y0))) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y1))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y1 @ Y2)) = 88.74/12.03 (binunion @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y2))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y1))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $o]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (Y3))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (Y3))))) => 88.74/12.03 (Y3))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y0 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 Y0))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y1))) | 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 dsetconstr @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))) @ 88.74/12.03 ( 88.74/12.03 ^[Y4 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y5 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y5 @ 88.74/12.03 Y0) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y6 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y6 @ 88.74/12.03 Y1) & 88.74/12.03 (( 88.74/12.03 (Y4) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y6 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl571])). 88.74/12.03 thf(zip_derived_cl601, plain, 88.74/12.03 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => (in @ 88.74/12.03 Y2 @ Y1)))))) => 88.74/12.03 (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y1 @ Y0))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => 88.74/12.03 (in @ Y2 @ Y1)))))) => 88.74/12.03 (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (((in @ Y2 @ Y0) => 88.74/12.03 (in @ Y2 @ Y1)))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (((((~) @ ( 88.74/12.03 in @ Y2 @ Y1))) => 88.74/12.03 (((~) @ ( 88.74/12.03 in @ Y2 @ Y0)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (((((~) @ ( 88.74/12.03 in @ Y2 @ Y1))) => 88.74/12.03 (((~) @ ( 88.74/12.03 subset @ 88.74/12.03 Y0 @ Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((~) @ (subset @ Y0 @ Y1))) => 88.74/12.03 (((Y0) != (Y1))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (((( 88.74/12.03 (~) @ ( 88.74/12.03 in @ Y2 @ 88.74/12.03 Y1))) => 88.74/12.03 (( 88.74/12.03 (Y0) != 88.74/12.03 (Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y2) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y2)))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (subset @ Y1 @ 88.74/12.03 (setadjoin @ Y0 @ 88.74/12.03 Y1)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ Y2) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ Y2))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ Y1) => 88.74/12.03 (in @ Y0 @ 88.74/12.03 (powerset @ Y1)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ Y1) => 88.74/12.03 (((subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (Y0) = 88.74/12.03 (Y1))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 emptyset) => 88.74/12.03 (((Y0) = (emptyset)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)) => 88.74/12.03 (subset @ 88.74/12.03 Y1 @ Y0))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (in @ Y0 @ 88.74/12.03 (powerset @ Y0))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 (powerset @ 88.74/12.03 Y0) @ 88.74/12.03 (powerset @ 88.74/12.03 Y1)))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i > $o]: 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 dsetconstr @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i > $o]: 88.74/12.03 (subset @ 88.74/12.03 (dsetconstr @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (((!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $o]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (Y3))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (Y3))) => 88.74/12.03 (Y3))))))))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) | 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))))) => 88.74/12.03 (((((!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 (binunion @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (((( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 (binunion @ 88.74/12.03 Y0 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y0))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y1))) => 88.74/12.03 (subset @ 88.74/12.03 Y1 @ Y0))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 ( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) & 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y1))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y1))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (Y0))) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y1))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (binintersect @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y1 @ Y2)) = 88.74/12.03 (binunion @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 ( 88.74/12.03 binintersect @ 88.74/12.03 Y0 @ Y2))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y0)))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1)))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setminus @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (subset @ 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ Y1) @ 88.74/12.03 Y0))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (setminus @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) = 88.74/12.03 (emptyset))) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y1))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1)) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $o]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (Y3))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (Y3))))) => 88.74/12.03 (Y3))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y0))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (( 88.74/12.03 (~) @ ( 88.74/12.03 in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 symdiff @ 88.74/12.03 Y0 @ Y1))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y0 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 (setunion @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 (setadjoin @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 (setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 ( 88.74/12.03 setunion @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))) & 88.74/12.03 (( 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 Y0))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y1 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 Y0)))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y0 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y1 @ 88.74/12.03 emptyset))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y1))) | 88.74/12.03 (( 88.74/12.03 (Y2) = 88.74/12.03 (Y0)))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (subset @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1)))))))))))))))))))) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y0 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y1 : $i]: 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y2 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (( 88.74/12.03 (!!) @ ( 88.74/12.03 ^[Y3 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y3 @ 88.74/12.03 Y1) => 88.74/12.03 (in @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y2 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y3 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)) @ 88.74/12.03 ( 88.74/12.03 dsetconstr @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 powerset @ 88.74/12.03 ( 88.74/12.03 binunion @ 88.74/12.03 Y0 @ Y1))) @ 88.74/12.03 ( 88.74/12.03 ^[Y4 : $i]: 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y5 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y5 @ 88.74/12.03 Y0) & 88.74/12.03 (( 88.74/12.03 (??) @ ( 88.74/12.03 ^[Y6 : $i]: 88.74/12.03 (( 88.74/12.03 (in @ 88.74/12.03 Y6 @ 88.74/12.03 Y1) & 88.74/12.03 (( 88.74/12.03 (Y4) = 88.74/12.03 (setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 emptyset) @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y5 @ 88.74/12.03 ( 88.74/12.03 setadjoin @ 88.74/12.03 Y6 @ 88.74/12.03 emptyset)) @ 88.74/12.03 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.03 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl588])). 88.74/12.03 thf(zip_derived_cl617, plain, 88.74/12.03 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y1 @ Y0))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((Y0) = (Y1))) => (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => (in @ 88.74/12.03 Y2 @ Y1)))))) => 88.74/12.03 (subset @ Y0 @ Y1))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ Y0 @ Y1) => 88.74/12.03 (((in @ Y2 @ Y0) => 88.74/12.03 (in @ Y2 @ Y1)))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (((((~) @ (in @ 88.74/12.03 Y2 @ Y1))) => 88.74/12.03 (((~) @ (in @ 88.74/12.03 Y2 @ Y0)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ Y0) => 88.74/12.03 (((((~) @ ( 88.74/12.03 in @ Y2 @ Y1))) => 88.74/12.03 (((~) @ ( 88.74/12.03 subset @ Y0 @ 88.74/12.03 Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((((~) @ (subset @ Y0 @ Y1))) => 88.74/12.03 (((Y0) != (Y1))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((in @ Y2 @ 88.74/12.03 Y0) => 88.74/12.03 (((((~) @ ( 88.74/12.03 in @ Y2 @ 88.74/12.03 Y1))) => 88.74/12.03 (((Y0) != 88.74/12.03 (Y1)))))))))))))))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.03 (((((!!) @ (^[Y0 : $i]: 88.74/12.03 (((!!) @ (^[Y1 : $i]: 88.74/12.03 (((!!) @ (^[Y2 : $i]: 88.74/12.03 (((subset @ 88.74/12.03 Y0 @ 88.74/12.03 Y1) => 88.74/12.03 (( 88.74/12.03 (subset @ 88.74/12.03 Y1 @ 88.74/12.03 Y2) => 88.74/12.03 (subset @ 88.74/12.03 Y0 @ Y2)))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (subset @ Y1 @ 88.74/12.04 (setadjoin @ Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y2) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ Y2))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ Y0 @ 88.74/12.04 Y1) => (in @ 88.74/12.04 Y0 @ 88.74/12.04 (powerset @ Y1)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y0 @ Y1) => 88.74/12.04 (((subset @ 88.74/12.04 Y1 @ Y0) => 88.74/12.04 (((Y0) = 88.74/12.04 (Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((subset @ Y0 @ 88.74/12.04 emptyset) => 88.74/12.04 (((Y0) = (emptyset)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 (powerset @ 88.74/12.04 Y0)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 Y0)) => 88.74/12.04 (subset @ 88.74/12.04 Y1 @ Y0))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (in @ Y0 @ 88.74/12.04 (powerset @ Y0))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y0 @ Y1) => 88.74/12.04 (subset @ 88.74/12.04 (powerset @ 88.74/12.04 Y0) @ 88.74/12.04 (powerset @ 88.74/12.04 Y1)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i > $o]: 88.74/12.04 (in @ 88.74/12.04 (dsetconstr @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 (powerset @ 88.74/12.04 Y0)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i > $o]: 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 dsetconstr @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y0))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $o]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (Y3))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (Y3))) => 88.74/12.04 (Y3))))))))))))))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) | 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y0)))))))))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 (binunion @ 88.74/12.04 Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 Y1 @ 88.74/12.04 (binunion @ 88.74/12.04 Y0 @ Y1)))))))) => 88.74/12.04 (((( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y0)))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y0))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y0))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y1))) => 88.74/12.04 (subset @ 88.74/12.04 Y1 @ Y0))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y1)))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 ( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) & 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y1)))))))) => 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (emptyset))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y1))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y1))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y0))) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ Y1))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y1 @ Y2)) = 88.74/12.04 (binunion @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y2))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y0)))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1)))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (setminus @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (emptyset))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)))) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y1)))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0)))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 (setminus @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y0))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (setminus @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (emptyset))) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ Y1))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $o]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (Y3))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (Y3))))) => 88.74/12.04 (Y3))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y0 @ 88.74/12.04 (setunion @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 (setunion @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) = 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) = 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset) @ 88.74/12.04 Y0))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 Y0)))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (Y2) = 88.74/12.04 (Y1))) | 88.74/12.04 (( 88.74/12.04 (Y2) = 88.74/12.04 (Y0)))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 dsetconstr @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))) @ 88.74/12.04 ( 88.74/12.04 ^[Y4 : $i]: 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y5 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y5 @ 88.74/12.04 Y0) & 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y6 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y6 @ 88.74/12.04 Y1) & 88.74/12.04 (( 88.74/12.04 (Y4) = 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y5 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y5 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y6 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl601])). 88.74/12.04 thf(zip_derived_cl629, plain, 88.74/12.04 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((((Y0) = (Y1))) => (subset @ Y0 @ Y1))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((((!!) @ (^[Y2 : $i]: 88.74/12.04 (((in @ Y2 @ Y0) => (in @ 88.74/12.04 Y2 @ Y1)))))) => 88.74/12.04 (subset @ Y0 @ Y1))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((subset @ Y0 @ Y1) => 88.74/12.04 (((in @ Y2 @ Y0) => 88.74/12.04 (in @ Y2 @ Y1)))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((subset @ Y0 @ Y1) => 88.74/12.04 (((((~) @ (in @ Y2 @ 88.74/12.04 Y1))) => 88.74/12.04 (((~) @ (in @ Y2 @ 88.74/12.04 Y0)))))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((in @ Y2 @ Y0) => 88.74/12.04 (((((~) @ (in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (((~) @ (subset @ 88.74/12.04 Y0 @ Y1)))))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((((~) @ (subset @ Y0 @ Y1))) => 88.74/12.04 (((Y0) != (Y1))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((in @ Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (((((~) @ ( 88.74/12.04 in @ Y2 @ Y1))) => 88.74/12.04 (((Y0) != (Y1)))))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y0 @ Y1) => 88.74/12.04 (((subset @ 88.74/12.04 Y1 @ 88.74/12.04 Y2) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ Y2)))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (subset @ Y1 @ 88.74/12.04 (setadjoin @ Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y2) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ Y2))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ Y0 @ 88.74/12.04 Y1) => (in @ Y0 @ 88.74/12.04 (powerset @ Y1)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (((subset @ 88.74/12.04 Y1 @ Y0) => 88.74/12.04 (((Y0) = (Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((subset @ Y0 @ 88.74/12.04 emptyset) => 88.74/12.04 (((Y0) = (emptyset)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y1 @ Y0) => 88.74/12.04 (in @ Y1 @ 88.74/12.04 (powerset @ 88.74/12.04 Y0)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((in @ 88.74/12.04 Y1 @ 88.74/12.04 (powerset @ 88.74/12.04 Y0)) => 88.74/12.04 (subset @ 88.74/12.04 Y1 @ Y0))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (in @ Y0 @ 88.74/12.04 (powerset @ Y0))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 Y0) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 Y1)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i > $o]: 88.74/12.04 (in @ 88.74/12.04 (dsetconstr @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 (powerset @ 88.74/12.04 Y0)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i > $o]: 88.74/12.04 (subset @ 88.74/12.04 (dsetconstr @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y0))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $o]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (Y3))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (Y3))) => 88.74/12.04 (Y3))))))))))))))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) | 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y0)))))))))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 (binunion @ 88.74/12.04 Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 Y1 @ 88.74/12.04 (binunion @ 88.74/12.04 Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (((( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y0)))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y0))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y0))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y1))) => 88.74/12.04 (subset @ 88.74/12.04 Y1 @ Y0))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y1)))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 ( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) & 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y1)))))))) => 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (emptyset))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y1))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y1))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (Y0))) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ Y1))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (binintersect @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y1 @ Y2)) = 88.74/12.04 (binunion @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 ( 88.74/12.04 binintersect @ 88.74/12.04 Y0 @ Y2))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y0)))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1)))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (setminus @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (emptyset))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)))) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y1)))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1)))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0)))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setminus @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 (setminus @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y0))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (setminus @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) = 88.74/12.04 (emptyset))) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ Y1))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $o]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (Y3))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (Y3))))) => 88.74/12.04 (Y3))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y0))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ Y1))) => 88.74/12.04 (( 88.74/12.04 (~) @ ( 88.74/12.04 in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 symdiff @ 88.74/12.04 Y0 @ Y1))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y0 @ 88.74/12.04 (setunion @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 (setunion @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 (setadjoin @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) = 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 ( 88.74/12.04 setunion @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))) & 88.74/12.04 (( 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) = 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset) @ 88.74/12.04 Y0))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 Y0)))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (Y2) = 88.74/12.04 (Y1))) | 88.74/12.04 (( 88.74/12.04 (Y2) = 88.74/12.04 (Y0)))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))))))))))))))) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y3 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y3 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)) @ 88.74/12.04 ( 88.74/12.04 dsetconstr @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))) @ 88.74/12.04 ( 88.74/12.04 ^[Y4 : $i]: 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y5 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y5 @ 88.74/12.04 Y0) & 88.74/12.04 (( 88.74/12.04 (??) @ ( 88.74/12.04 ^[Y6 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y6 @ 88.74/12.04 Y1) & 88.74/12.04 (( 88.74/12.04 (Y4) = 88.74/12.04 (setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y5 @ 88.74/12.04 emptyset) @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y5 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y6 @ 88.74/12.04 emptyset)) @ 88.74/12.04 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 88.74/12.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl617])). 88.74/12.04 thf(zip_derived_cl640, plain, 88.74/12.04 (~ (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((((!!) @ (^[Y2 : $i]: 88.74/12.04 (((in @ Y2 @ Y0) => (in @ 88.74/12.04 Y2 @ Y1)))))) => 88.74/12.04 (subset @ Y0 @ Y1))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((subset @ Y0 @ Y1) => 88.74/12.04 (((in @ Y2 @ Y0) => (in @ 88.74/12.04 Y2 @ Y1)))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((subset @ Y0 @ Y1) => 88.74/12.04 (((((~) @ (in @ Y2 @ Y1))) => 88.74/12.04 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((in @ Y2 @ Y0) => 88.74/12.04 (((((~) @ (in @ Y2 @ 88.74/12.04 Y1))) => 88.74/12.04 (((~) @ (subset @ 88.74/12.04 Y0 @ Y1)))))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((((~) @ (subset @ Y0 @ Y1))) => 88.74/12.04 (((Y0) != (Y1))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((in @ Y2 @ Y0) => 88.74/12.04 (((((~) @ ( 88.74/12.04 in @ Y2 @ Y1))) => 88.74/12.04 (((Y0) != (Y1)))))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y0 @ Y1) => 88.74/12.04 (((subset @ 88.74/12.04 Y1 @ Y2) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ Y2)))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (subset @ Y1 @ 88.74/12.04 (setadjoin @ Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((!!) @ (^[Y2 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y2) => 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 (setadjoin @ 88.74/12.04 Y1 @ Y2))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ Y0 @ 88.74/12.04 Y1) => (in @ Y0 @ 88.74/12.04 (powerset @ Y1)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (((subset @ Y1 @ 88.74/12.04 Y0) => 88.74/12.04 (((Y0) = (Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((subset @ Y0 @ emptyset) => 88.74/12.04 (((Y0) = (emptyset)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((subset @ 88.74/12.04 Y1 @ Y0) => 88.74/12.04 (in @ Y1 @ 88.74/12.04 (powerset @ Y0)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (((in @ Y1 @ 88.74/12.04 (powerset @ 88.74/12.04 Y0)) => 88.74/12.04 (subset @ 88.74/12.04 Y1 @ Y0))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (in @ Y0 @ 88.74/12.04 (powerset @ Y0))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 Y1) => 88.74/12.04 (subset @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 Y0) @ 88.74/12.04 ( 88.74/12.04 powerset @ 88.74/12.04 Y1)))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ (^[Y1 : $i > $o]: 88.74/12.04 (in @ 88.74/12.04 (dsetconstr @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 (powerset @ 88.74/12.04 Y0)))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i > $o]: 88.74/12.04 (subset @ 88.74/12.04 (dsetconstr @ 88.74/12.04 Y0 @ Y1) @ 88.74/12.04 Y0))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (in @ 88.74/12.04 Y1 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 setadjoin @ 88.74/12.04 Y1 @ 88.74/12.04 emptyset))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y3 : $o]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (Y3))) => 88.74/12.04 (( 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (Y3))) => 88.74/12.04 (Y3))))))))))))))))))) => 88.74/12.04 (((((!!) @ (^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) | 88.74/12.04 (in @ 88.74/12.04 Y2 @ Y0)))))))))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 Y0 @ 88.74/12.04 ( 88.74/12.04 binunion @ 88.74/12.04 Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (((!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (subset @ 88.74/12.04 Y1 @ 88.74/12.04 (binunion @ 88.74/12.04 Y0 @ Y1)))))))) => 88.74/12.04 (((((!!) @ ( 88.74/12.04 ^[Y0 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y1 : $i]: 88.74/12.04 (( 88.74/12.04 (!!) @ ( 88.74/12.04 ^[Y2 : $i]: 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y0) => 88.74/12.04 (( 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 Y1) => 88.74/12.04 (in @ 88.74/12.04 Y2 @ 88.74/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (((((!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (subset @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (((( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y0)))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (subset @ 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 Y0))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) => 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y0))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y1))) => 89.32/12.04 (subset @ 89.32/12.04 Y1 @ Y0))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y1)))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 ( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) & 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y1)))))))) => 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (emptyset))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (subset @ 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 Y1))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y1 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y1))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y0))) => 89.32/12.04 (subset @ 89.32/12.04 Y0 @ Y1))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y1 @ Y2)) = 89.32/12.04 (binunion @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y2))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y0)))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1)))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) => 89.32/12.04 (( 89.32/12.04 (setminus @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (emptyset))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)))) => 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y1)))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y0)))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y0))) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (subset @ 89.32/12.04 (setminus @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 Y0))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (setminus @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (emptyset))) => 89.32/12.04 (subset @ 89.32/12.04 Y0 @ Y1))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 symdiff @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $o]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (Y3))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y0))) => 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (Y3))))) => 89.32/12.04 (Y3))))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 symdiff @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y0))) => 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 symdiff @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 symdiff @ 89.32/12.04 Y0 @ Y1))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y0))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 symdiff @ 89.32/12.04 Y0 @ Y1))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (in @ 89.32/12.04 Y1 @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (in @ 89.32/12.04 Y0 @ 89.32/12.04 (setunion @ 89.32/12.04 (setadjoin @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 (setadjoin @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (in @ 89.32/12.04 Y1 @ 89.32/12.04 (setunion @ 89.32/12.04 (setadjoin @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 (setadjoin @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setunion @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))) & 89.32/12.04 (( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 ( 89.32/12.04 setunion @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))) & 89.32/12.04 (( 89.32/12.04 (setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)) = 89.32/12.04 (setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setunion @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))) & 89.32/12.04 (( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 ( 89.32/12.04 setunion @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))) & 89.32/12.04 (( 89.32/12.04 (setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)) = 89.32/12.04 (setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y1 @ 89.32/12.04 Y0) => 89.32/12.04 (subset @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset) @ 89.32/12.04 Y0))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y1 @ 89.32/12.04 Y0) => 89.32/12.04 (in @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 Y0)))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (in @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1)))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (Y2) = 89.32/12.04 (Y1))) | 89.32/12.04 (( 89.32/12.04 (Y2) = 89.32/12.04 (Y0)))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 Y1) => 89.32/12.04 (subset @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1)))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 Y1) => 89.32/12.04 (in @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1))))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 Y1) => 89.32/12.04 (subset @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)) @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1))))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 Y1) => 89.32/12.04 (in @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)) @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1)))))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 Y1) => 89.32/12.04 (in @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)) @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1)))))))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y3 @ 89.32/12.04 Y1) => 89.32/12.04 (in @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y3 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)) @ 89.32/12.04 ( 89.32/12.04 dsetconstr @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1))) @ 89.32/12.04 ( 89.32/12.04 ^[Y4 : $i]: 89.32/12.04 (( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y5 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y5 @ 89.32/12.04 Y0) & 89.32/12.04 (( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y6 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y6 @ 89.32/12.04 Y1) & 89.32/12.04 (( 89.32/12.04 (Y4) = 89.32/12.04 (setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y5 @ 89.32/12.04 emptyset) @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y5 @ 89.32/12.04 ( 89.32/12.04 setadjoin @ 89.32/12.04 Y6 @ 89.32/12.04 emptyset)) @ 89.32/12.04 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.04 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl629])). 89.32/12.04 thf(zip_derived_cl652, plain, 89.32/12.04 (~ (((((!!) @ (^[Y0 : $i]: (subset @ emptyset @ Y0)))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((!!) @ (^[Y2 : $i]: 89.32/12.04 (((subset @ Y0 @ Y1) => 89.32/12.04 (((in @ Y2 @ Y0) => (in @ 89.32/12.04 Y2 @ Y1)))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((!!) @ (^[Y2 : $i]: 89.32/12.04 (((subset @ Y0 @ Y1) => 89.32/12.04 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.04 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((!!) @ (^[Y2 : $i]: 89.32/12.04 (((in @ Y2 @ Y0) => 89.32/12.04 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.04 (((~) @ (subset @ 89.32/12.04 Y0 @ Y1)))))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((((~) @ (subset @ Y0 @ Y1))) => 89.32/12.04 (((Y0) != (Y1))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((!!) @ (^[Y2 : $i]: 89.32/12.04 (((in @ Y2 @ Y0) => 89.32/12.04 (((((~) @ (in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (((Y0) != (Y1)))))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((!!) @ (^[Y2 : $i]: 89.32/12.04 (((subset @ Y0 @ 89.32/12.04 Y1) => 89.32/12.04 (((subset @ 89.32/12.04 Y1 @ Y2) => 89.32/12.04 (subset @ 89.32/12.04 Y0 @ Y2)))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (subset @ Y1 @ 89.32/12.04 (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((!!) @ (^[Y2 : $i]: 89.32/12.04 (((subset @ 89.32/12.04 Y0 @ Y2) => 89.32/12.04 (subset @ 89.32/12.04 Y0 @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y1 @ Y2))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((subset @ Y0 @ Y1) => 89.32/12.04 (in @ Y0 @ 89.32/12.04 (powerset @ Y1)))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((subset @ Y0 @ 89.32/12.04 Y1) => 89.32/12.04 (((subset @ Y1 @ 89.32/12.04 Y0) => 89.32/12.04 (((Y0) = (Y1))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((subset @ Y0 @ emptyset) => 89.32/12.04 (((Y0) = (emptyset)))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((subset @ Y1 @ 89.32/12.04 Y0) => (in @ 89.32/12.04 Y1 @ 89.32/12.04 (powerset @ Y0)))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((in @ Y1 @ 89.32/12.04 (powerset @ Y0)) => 89.32/12.04 (subset @ 89.32/12.04 Y1 @ Y0))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i]: 89.32/12.04 (((subset @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) => 89.32/12.04 (subset @ 89.32/12.04 (powerset @ 89.32/12.04 Y0) @ 89.32/12.04 (powerset @ 89.32/12.04 Y1)))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.04 (in @ 89.32/12.04 ( 89.32/12.04 dsetconstr @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 ( 89.32/12.04 powerset @ 89.32/12.04 Y0)))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.04 (subset @ 89.32/12.04 (dsetconstr @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 Y0))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (((!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (in @ Y1 @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y0 @ 89.32/12.04 (setadjoin @ 89.32/12.04 Y1 @ 89.32/12.04 emptyset))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (((!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y3 : $o]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (Y3))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (Y3))) => 89.32/12.04 (Y3))))))))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) | 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y0)))))))))))))) => 89.32/12.04 (((((!!) @ (^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (subset @ 89.32/12.04 Y0 @ 89.32/12.04 (binunion @ 89.32/12.04 Y0 @ Y1)))))))) => 89.32/12.04 (((((!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (((!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (subset @ 89.32/12.04 Y1 @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y0 @ Y1)))))))) => 89.32/12.04 (((((!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (((!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (((((!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (subset @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (((((!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y0)))))))))))) => 89.32/12.04 (((( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (subset @ 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 Y0))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) => 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y0))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y1))) => 89.32/12.04 (subset @ 89.32/12.04 Y1 @ Y0))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y1)))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 ( 89.32/12.04 (??) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) & 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y1)))))))) => 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (emptyset))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (subset @ 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 Y1))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y1 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y1))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (Y0))) => 89.32/12.04 (subset @ 89.32/12.04 Y0 @ Y1))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (binintersect @ 89.32/12.04 Y0 @ 89.32/12.04 ( 89.32/12.04 binunion @ 89.32/12.04 Y1 @ Y2)) = 89.32/12.04 (binunion @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y1) @ 89.32/12.04 ( 89.32/12.04 binintersect @ 89.32/12.04 Y0 @ Y2))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y0)))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1)))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (subset @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) => 89.32/12.04 (( 89.32/12.04 (setminus @ 89.32/12.04 Y0 @ 89.32/12.04 Y1) = 89.32/12.04 (emptyset))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)))) => 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y0) => 89.32/12.04 (in @ 89.32/12.04 Y2 @ Y1)))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1)))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y1))) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y0)))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ Y0))) => 89.32/12.04 (( 89.32/12.04 (~) @ ( 89.32/12.04 in @ 89.32/12.04 Y2 @ 89.32/12.04 ( 89.32/12.04 setminus @ 89.32/12.04 Y0 @ Y1))))))))))))))) => 89.32/12.04 (( 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y0 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y1 : $i]: 89.32/12.04 (( 89.32/12.04 (!!) @ ( 89.32/12.04 ^[Y2 : $i]: 89.32/12.04 (( 89.32/12.04 (in @ 89.32/12.04 Y2 @ 89.32/12.04 Y1) => 89.32/12.04 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (Y3))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y0 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 Y0))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 Y0)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y1))) | 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 dsetconstr @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))) @ 89.32/12.05 ( 89.32/12.05 ^[Y4 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y5 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y5 @ 89.32/12.05 Y0) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y6 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y6 @ 89.32/12.05 Y1) & 89.32/12.05 (( 89.32/12.05 (Y4) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y6 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl640])). 89.32/12.05 thf(zip_derived_cl662, plain, 89.32/12.05 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((in @ Y2 @ Y0) => (in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((in @ Y2 @ Y0) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((~) @ (subset @ Y0 @ 89.32/12.05 Y1)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((((~) @ (subset @ Y0 @ Y1))) => 89.32/12.05 (((Y0) != (Y1))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((in @ Y2 @ Y0) => 89.32/12.05 (((((~) @ (in @ Y2 @ 89.32/12.05 Y1))) => 89.32/12.05 (((Y0) != (Y1)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (((subset @ Y1 @ 89.32/12.05 Y2) => 89.32/12.05 (subset @ Y0 @ 89.32/12.05 Y2)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (subset @ Y1 @ 89.32/12.05 (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ 89.32/12.05 Y0 @ Y2) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ Y2))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (in @ Y0 @ 89.32/12.05 (powerset @ Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((subset @ Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (((Y0) = (Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((subset @ Y0 @ emptyset) => 89.32/12.05 (((Y0) = (emptyset)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y1 @ 89.32/12.05 Y0) => (in @ Y1 @ 89.32/12.05 (powerset @ Y0)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((in @ Y1 @ 89.32/12.05 (powerset @ Y0)) => 89.32/12.05 (subset @ Y1 @ 89.32/12.05 Y0))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ 89.32/12.05 Y0 @ Y1) => 89.32/12.05 (subset @ 89.32/12.05 (powerset @ 89.32/12.05 Y0) @ 89.32/12.05 (powerset @ 89.32/12.05 Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (in @ 89.32/12.05 (dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 (powerset @ 89.32/12.05 Y0)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ Y1 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (Y3))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) | 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 (binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 (binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))) => 89.32/12.05 (subset @ 89.32/12.05 Y1 @ Y0))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 ( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) & 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y1))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y1 @ Y2)) = 89.32/12.05 (binunion @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y2))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (Y3))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y0 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 Y0))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 Y0)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y1))) | 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 dsetconstr @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))) @ 89.32/12.05 ( 89.32/12.05 ^[Y4 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y5 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y5 @ 89.32/12.05 Y0) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y6 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y6 @ 89.32/12.05 Y1) & 89.32/12.05 (( 89.32/12.05 (Y4) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y6 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl652])). 89.32/12.05 thf(zip_derived_cl675, plain, 89.32/12.05 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((in @ Y2 @ Y0) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((~) @ (subset @ Y0 @ Y1)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((((~) @ (subset @ Y0 @ Y1))) => 89.32/12.05 (((Y0) != (Y1))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((in @ Y2 @ Y0) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((Y0) != (Y1)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (((subset @ Y1 @ 89.32/12.05 Y2) => (subset @ 89.32/12.05 Y0 @ Y2)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (subset @ Y1 @ 89.32/12.05 (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ 89.32/12.05 Y2) => 89.32/12.05 (subset @ Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ Y2))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (in @ Y0 @ 89.32/12.05 (powerset @ Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((subset @ Y1 @ Y0) => 89.32/12.05 (((Y0) = (Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((subset @ Y0 @ emptyset) => 89.32/12.05 (((Y0) = (emptyset)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y1 @ 89.32/12.05 Y0) => (in @ Y1 @ 89.32/12.05 (powerset @ Y0)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((in @ Y1 @ 89.32/12.05 (powerset @ Y0)) => 89.32/12.05 (subset @ Y1 @ Y0))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ 89.32/12.05 Y0 @ Y1) => 89.32/12.05 (subset @ 89.32/12.05 (powerset @ Y0) @ 89.32/12.05 (powerset @ Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (in @ 89.32/12.05 (dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 (powerset @ 89.32/12.05 Y0)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (subset @ 89.32/12.05 (dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (Y3))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) | 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 (binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 (binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))))))))))) => 89.32/12.05 (((( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))) => 89.32/12.05 (subset @ 89.32/12.05 Y1 @ Y0))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 ( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) & 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y1))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y1 @ Y2)) = 89.32/12.05 (binunion @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y2))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (Y3))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y0 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 Y0))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 Y0)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y1))) | 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 dsetconstr @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))) @ 89.32/12.05 ( 89.32/12.05 ^[Y4 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y5 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y5 @ 89.32/12.05 Y0) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y6 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y6 @ 89.32/12.05 Y1) & 89.32/12.05 (( 89.32/12.05 (Y4) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y6 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl662])). 89.32/12.05 thf(zip_derived_cl685, plain, 89.32/12.05 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((in @ Y2 @ Y0) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((~) @ (subset @ Y0 @ Y1)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((((~) @ (subset @ Y0 @ Y1))) => 89.32/12.05 (((Y0) != (Y1))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((in @ Y2 @ Y0) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((Y0) != (Y1)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((subset @ Y1 @ 89.32/12.05 Y2) => (subset @ 89.32/12.05 Y0 @ Y2)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (subset @ Y1 @ 89.32/12.05 (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ 89.32/12.05 Y2) => (subset @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ Y1 @ 89.32/12.05 Y2))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => (in @ 89.32/12.05 Y0 @ (powerset @ Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((subset @ Y1 @ Y0) => 89.32/12.05 (((Y0) = (Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((subset @ Y0 @ emptyset) => 89.32/12.05 (((Y0) = (emptyset)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y1 @ Y0) => 89.32/12.05 (in @ Y1 @ 89.32/12.05 (powerset @ Y0)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((in @ Y1 @ 89.32/12.05 (powerset @ Y0)) => 89.32/12.05 (subset @ Y1 @ Y0))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 (powerset @ Y0) @ 89.32/12.05 (powerset @ Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (in @ 89.32/12.05 (dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 (powerset @ Y0)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (subset @ 89.32/12.05 (dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (Y3))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) | 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 (binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))) => 89.32/12.05 (subset @ 89.32/12.05 Y1 @ Y0))))))))) => 89.32/12.05 (((( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 ( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) & 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y1))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y1 @ Y2)) = 89.32/12.05 (binunion @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y2))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (Y3))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y0 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 (setunion @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 (setadjoin @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 ( 89.32/12.05 setunion @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))) & 89.32/12.05 (( 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 Y0))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 Y0)))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y1))) | 89.32/12.05 (( 89.32/12.05 (Y2) = 89.32/12.05 (Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y3 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y3 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)) @ 89.32/12.05 ( 89.32/12.05 dsetconstr @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 powerset @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))) @ 89.32/12.05 ( 89.32/12.05 ^[Y4 : $i]: 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y5 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y5 @ 89.32/12.05 Y0) & 89.32/12.05 (( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y6 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y6 @ 89.32/12.05 Y1) & 89.32/12.05 (( 89.32/12.05 (Y4) = 89.32/12.05 (setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 emptyset) @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y5 @ 89.32/12.05 ( 89.32/12.05 setadjoin @ 89.32/12.05 Y6 @ 89.32/12.05 emptyset)) @ 89.32/12.05 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.05 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl675])). 89.32/12.05 thf(zip_derived_cl696, plain, 89.32/12.05 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((((~) @ (subset @ Y0 @ Y1))) => 89.32/12.05 (((Y0) != (Y1))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((in @ Y2 @ Y0) => 89.32/12.05 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.05 (((Y0) != (Y1)))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((subset @ Y1 @ Y2) => 89.32/12.05 (subset @ Y0 @ Y2)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (subset @ Y1 @ (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ (^[Y2 : $i]: 89.32/12.05 (((subset @ Y0 @ 89.32/12.05 Y2) => (subset @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ Y1 @ Y2))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => (in @ 89.32/12.05 Y0 @ (powerset @ Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ Y1) => 89.32/12.05 (((subset @ Y1 @ Y0) => 89.32/12.05 (((Y0) = (Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((subset @ Y0 @ emptyset) => 89.32/12.05 (((Y0) = (emptyset)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y1 @ Y0) => 89.32/12.05 (in @ Y1 @ 89.32/12.05 (powerset @ Y0)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((in @ Y1 @ 89.32/12.05 (powerset @ Y0)) => 89.32/12.05 (subset @ Y1 @ Y0))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((subset @ Y0 @ 89.32/12.05 Y1) => (subset @ 89.32/12.05 (powerset @ Y0) @ 89.32/12.05 (powerset @ Y1)))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (in @ 89.32/12.05 (dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 (powerset @ Y0)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.05 (subset @ 89.32/12.05 (dsetconstr @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (in @ Y1 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y0 @ 89.32/12.05 (setadjoin @ 89.32/12.05 Y1 @ 89.32/12.05 emptyset))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ (^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (Y3))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) | 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 (binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y0 @ Y1)))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (subset @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (((((!!) @ (^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (((!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))) => 89.32/12.05 (subset @ 89.32/12.05 Y1 @ Y0))))))))) => 89.32/12.05 (((((!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))) => 89.32/12.05 (((( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 ( 89.32/12.05 (??) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) & 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y1))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y1 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y1))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (Y0))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (binintersect @ 89.32/12.05 Y0 @ 89.32/12.05 ( 89.32/12.05 binunion @ 89.32/12.05 Y1 @ Y2)) = 89.32/12.05 (binunion @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 ( 89.32/12.05 binintersect @ 89.32/12.05 Y0 @ Y2))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y0)))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (subset @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ Y1)))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1)))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0)))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 setminus @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (subset @ 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ Y1) @ 89.32/12.05 Y0))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (setminus @ 89.32/12.05 Y0 @ 89.32/12.05 Y1) = 89.32/12.05 (emptyset))) => 89.32/12.05 (subset @ 89.32/12.05 Y0 @ Y1))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1)) => 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y3 : $o]: 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (Y3))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y0))) => 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y1) => 89.32/12.05 (Y3))))) => 89.32/12.05 (Y3))))))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y0 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y1 : $i]: 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.05 ^[Y2 : $i]: 89.32/12.05 (( 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 Y0) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (~) @ ( 89.32/12.05 in @ 89.32/12.05 Y2 @ Y1))) => 89.32/12.05 (in @ 89.32/12.05 Y2 @ 89.32/12.05 ( 89.32/12.05 symdiff @ 89.32/12.05 Y0 @ Y1))))))))))))))) => 89.32/12.05 (( 89.32/12.05 (( 89.32/12.05 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y0 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 Y0))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 Y0)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y1))) | 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 dsetconstr @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))) @ 89.32/12.06 ( 89.32/12.06 ^[Y4 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y5 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y5 @ 89.32/12.06 Y0) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y6 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y6 @ 89.32/12.06 Y1) & 89.32/12.06 (( 89.32/12.06 (Y4) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y6 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl685])). 89.32/12.06 thf(zip_derived_cl706, plain, 89.32/12.06 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((in @ Y2 @ Y0) => 89.32/12.06 (((((~) @ (in @ Y2 @ Y1))) => 89.32/12.06 (((Y0) != (Y1)))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (((subset @ Y1 @ Y2) => 89.32/12.06 (subset @ Y0 @ Y2)))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ Y1 @ (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((subset @ Y0 @ Y2) => 89.32/12.06 (subset @ Y0 @ 89.32/12.06 (setadjoin @ Y1 @ Y2))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => (in @ 89.32/12.06 Y0 @ (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (((subset @ Y1 @ Y0) => 89.32/12.06 (((Y0) = (Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((subset @ Y0 @ emptyset) => 89.32/12.06 (((Y0) = (emptyset)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y1 @ Y0) => 89.32/12.06 (in @ Y1 @ 89.32/12.06 (powerset @ Y0)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((in @ Y1 @ 89.32/12.06 (powerset @ Y0)) => 89.32/12.06 (subset @ Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ 89.32/12.06 Y1) => (subset @ 89.32/12.06 (powerset @ Y0) @ 89.32/12.06 (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (in @ 89.32/12.06 (dsetconstr @ Y0 @ 89.32/12.06 Y1) @ 89.32/12.06 (powerset @ Y0)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (subset @ 89.32/12.06 (dsetconstr @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (((in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (in @ Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (Y3))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) | 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))) => 89.32/12.06 (subset @ 89.32/12.06 Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 ( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) & 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (((( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y1))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y1 @ Y2)) = 89.32/12.06 (binunion @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y2))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (Y3))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y0 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 Y0))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 Y0)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y1))) | 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 dsetconstr @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))) @ 89.32/12.06 ( 89.32/12.06 ^[Y4 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y5 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y5 @ 89.32/12.06 Y0) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y6 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y6 @ 89.32/12.06 Y1) & 89.32/12.06 (( 89.32/12.06 (Y4) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y6 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl696])). 89.32/12.06 thf(zip_derived_cl716, plain, 89.32/12.06 (~ (((((!!) @ (^[Y0 : $i]: (subset @ Y0 @ Y0)))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (((subset @ Y1 @ Y2) => 89.32/12.06 (subset @ Y0 @ Y2)))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ Y1 @ (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((subset @ Y0 @ Y2) => 89.32/12.06 (subset @ Y0 @ 89.32/12.06 (setadjoin @ Y1 @ Y2))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => (in @ Y0 @ 89.32/12.06 (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (((subset @ Y1 @ Y0) => 89.32/12.06 (((Y0) = (Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((subset @ Y0 @ emptyset) => 89.32/12.06 (((Y0) = (emptyset)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y1 @ Y0) => (in @ 89.32/12.06 Y1 @ (powerset @ Y0)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((in @ Y1 @ 89.32/12.06 (powerset @ Y0)) => 89.32/12.06 (subset @ Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (subset @ 89.32/12.06 (powerset @ Y0) @ 89.32/12.06 (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (in @ 89.32/12.06 (dsetconstr @ Y0 @ Y1) @ 89.32/12.06 (powerset @ Y0)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (subset @ 89.32/12.06 (dsetconstr @ Y0 @ 89.32/12.06 Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (((in @ Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ Y2 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (in @ Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ emptyset))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (Y3))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) | 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))) => 89.32/12.06 (subset @ 89.32/12.06 Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 ( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) & 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y1))))))) => 89.32/12.06 (((( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y1 @ Y2)) = 89.32/12.06 (binunion @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y2))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (Y3))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y0 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 Y0))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 Y0)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y1))) | 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 dsetconstr @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))) @ 89.32/12.06 ( 89.32/12.06 ^[Y4 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y5 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y5 @ 89.32/12.06 Y0) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y6 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y6 @ 89.32/12.06 Y1) & 89.32/12.06 (( 89.32/12.06 (Y4) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y6 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl706])). 89.32/12.06 thf(zip_derived_cl725, plain, 89.32/12.06 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (((subset @ Y1 @ Y2) => 89.32/12.06 (subset @ Y0 @ Y2)))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ Y1 @ (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((subset @ Y0 @ Y2) => 89.32/12.06 (subset @ Y0 @ 89.32/12.06 (setadjoin @ Y1 @ Y2))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => (in @ Y0 @ 89.32/12.06 (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (((subset @ Y1 @ Y0) => 89.32/12.06 (((Y0) = (Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((subset @ Y0 @ emptyset) => 89.32/12.06 (((Y0) = (emptyset)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y1 @ Y0) => (in @ 89.32/12.06 Y1 @ (powerset @ Y0)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((in @ Y1 @ 89.32/12.06 (powerset @ Y0)) => 89.32/12.06 (subset @ Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (subset @ 89.32/12.06 (powerset @ Y0) @ 89.32/12.06 (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (in @ 89.32/12.06 (dsetconstr @ Y0 @ Y1) @ 89.32/12.06 (powerset @ Y0)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (subset @ 89.32/12.06 (dsetconstr @ Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (in @ Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ emptyset))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (((in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (Y3))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) | 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))) => 89.32/12.06 (subset @ 89.32/12.06 Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 ( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) & 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y1))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))))))))))) => 89.32/12.06 (((( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y1 @ Y2)) = 89.32/12.06 (binunion @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y2))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (Y3))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y0 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 Y0))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 Y0)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y1))) | 89.32/12.06 (( 89.32/12.06 (Y2) = 89.32/12.06 (Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) @ 89.32/12.06 ( 89.32/12.06 dsetconstr @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 powerset @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))) @ 89.32/12.06 ( 89.32/12.06 ^[Y4 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y5 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y5 @ 89.32/12.06 Y0) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y6 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y6 @ 89.32/12.06 Y1) & 89.32/12.06 (( 89.32/12.06 (Y4) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y5 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y6 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.06 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl716])). 89.32/12.06 thf(zip_derived_cl734, plain, 89.32/12.06 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ Y1 @ (setadjoin @ Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (((subset @ Y0 @ Y2) => 89.32/12.06 (subset @ Y0 @ 89.32/12.06 (setadjoin @ Y1 @ Y2))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => (in @ Y0 @ 89.32/12.06 (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (((subset @ Y1 @ Y0) => 89.32/12.06 (((Y0) = (Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((subset @ Y0 @ emptyset) => 89.32/12.06 (((Y0) = (emptyset)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y1 @ Y0) => (in @ 89.32/12.06 Y1 @ (powerset @ Y0)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((in @ Y1 @ (powerset @ Y0)) => 89.32/12.06 (subset @ Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((subset @ Y0 @ Y1) => 89.32/12.06 (subset @ 89.32/12.06 (powerset @ Y0) @ 89.32/12.06 (powerset @ Y1)))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (in @ 89.32/12.06 (dsetconstr @ Y0 @ Y1) @ 89.32/12.06 (powerset @ Y0)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.06 (subset @ 89.32/12.06 (dsetconstr @ Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ (^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (in @ Y1 @ 89.32/12.06 (setadjoin @ Y0 @ 89.32/12.06 (setadjoin @ Y1 @ 89.32/12.06 emptyset))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (((in @ Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ Y2 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (Y3))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) | 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 (binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y0 @ Y1)))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ (^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (subset @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))) => 89.32/12.06 (subset @ 89.32/12.06 Y1 @ Y0))))))))) => 89.32/12.06 (((((!!) @ (^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 ( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) & 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (((!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y1))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y1))))))))))) => 89.32/12.06 (((((!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (Y0))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (((( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (binintersect @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 binunion @ 89.32/12.06 Y1 @ Y2)) = 89.32/12.06 (binunion @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 ( 89.32/12.06 binintersect @ 89.32/12.06 Y0 @ Y2))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y0)))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (subset @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ Y1)))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1)))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0)))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setminus @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (subset @ 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ Y1) @ 89.32/12.06 Y0))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (setminus @ 89.32/12.06 Y0 @ 89.32/12.06 Y1) = 89.32/12.06 (emptyset))) => 89.32/12.06 (subset @ 89.32/12.06 Y0 @ Y1))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1)) => 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y3 : $o]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (Y3))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (Y3))))) => 89.32/12.06 (Y3))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y0) => 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 Y1) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y0))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ Y1))) => 89.32/12.06 (( 89.32/12.06 (~) @ ( 89.32/12.06 in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 symdiff @ 89.32/12.06 Y0 @ Y1))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y0 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 (setunion @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 (setadjoin @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 (setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y2 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (??) @ ( 89.32/12.06 ^[Y3 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y3 @ 89.32/12.06 ( 89.32/12.06 setunion @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))) & 89.32/12.06 (( 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y0 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)) = 89.32/12.06 (setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y2 @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y3 @ 89.32/12.06 emptyset)) @ 89.32/12.06 emptyset)))))))))))))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (subset @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 Y0))))))))) => 89.32/12.06 (( 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y0 : $i]: 89.32/12.06 (( 89.32/12.06 (!!) @ ( 89.32/12.06 ^[Y1 : $i]: 89.32/12.06 (( 89.32/12.06 (in @ 89.32/12.06 Y1 @ 89.32/12.06 Y0) => 89.32/12.06 (in @ 89.32/12.06 ( 89.32/12.06 setadjoin @ 89.32/12.06 Y1 @ 89.32/12.06 emptyset) @ 89.32/12.06 ( 89.32/12.07 powerset @ 89.32/12.07 Y0)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y1))) | 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 dsetconstr @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))) @ 89.32/12.07 ( 89.32/12.07 ^[Y4 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y5 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y5 @ 89.32/12.07 Y0) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y6 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y6 @ 89.32/12.07 Y1) & 89.32/12.07 (( 89.32/12.07 (Y4) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y6 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl725])). 89.32/12.07 thf(zip_derived_cl741, plain, 89.32/12.07 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((subset @ Y0 @ Y2) => 89.32/12.07 (subset @ Y0 @ 89.32/12.07 (setadjoin @ Y1 @ Y2))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => (in @ Y0 @ 89.32/12.07 (powerset @ Y1)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => 89.32/12.07 (((subset @ Y1 @ Y0) => 89.32/12.07 (((Y0) = (Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((subset @ Y0 @ emptyset) => 89.32/12.07 (((Y0) = (emptyset)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y1 @ Y0) => (in @ Y1 @ 89.32/12.07 (powerset @ Y0)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((in @ Y1 @ (powerset @ Y0)) => 89.32/12.07 (subset @ Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => 89.32/12.07 (subset @ (powerset @ Y0) @ 89.32/12.07 (powerset @ Y1)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (in @ 89.32/12.07 (dsetconstr @ Y0 @ Y1) @ 89.32/12.07 (powerset @ Y0)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (subset @ 89.32/12.07 (dsetconstr @ Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (in @ Y1 @ 89.32/12.07 (setadjoin @ Y0 @ 89.32/12.07 (setadjoin @ Y1 @ 89.32/12.07 emptyset))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (Y3))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (((in @ 89.32/12.07 Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1) | 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 Y1 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))) => 89.32/12.07 (subset @ 89.32/12.07 Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 ( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) & 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y1))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y1 @ Y2)) = 89.32/12.07 (binunion @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y2))))))))))))) => 89.32/12.07 (((( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (Y3))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y0 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 Y0))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 Y0)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y1))) | 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 dsetconstr @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))) @ 89.32/12.07 ( 89.32/12.07 ^[Y4 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y5 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y5 @ 89.32/12.07 Y0) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y6 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y6 @ 89.32/12.07 Y1) & 89.32/12.07 (( 89.32/12.07 (Y4) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y6 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl734])). 89.32/12.07 thf(zip_derived_cl746, plain, 89.32/12.07 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => (in @ Y0 @ 89.32/12.07 (powerset @ Y1)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => 89.32/12.07 (((subset @ Y1 @ Y0) => (((Y0) = (Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((subset @ Y0 @ emptyset) => (((Y0) = (emptyset)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y1 @ Y0) => (in @ Y1 @ 89.32/12.07 (powerset @ Y0)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((in @ Y1 @ (powerset @ Y0)) => 89.32/12.07 (subset @ Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => 89.32/12.07 (subset @ (powerset @ Y0) @ 89.32/12.07 (powerset @ Y1)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (in @ 89.32/12.07 (dsetconstr @ Y0 @ Y1) @ 89.32/12.07 (powerset @ Y0)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (subset @ 89.32/12.07 (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (in @ Y1 @ 89.32/12.07 (setadjoin @ Y0 @ 89.32/12.07 (setadjoin @ Y1 @ 89.32/12.07 emptyset))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (Y3))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (((in @ 89.32/12.07 Y2 @ Y1) | 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ Y0 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 Y1 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) = 89.32/12.07 (Y0))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))) => 89.32/12.07 (subset @ 89.32/12.07 Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 ( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) & 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y1))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y1 @ Y2)) = 89.32/12.07 (binunion @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y2))))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (Y3))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y0 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 Y0))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 Y0)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y1))) | 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 dsetconstr @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))) @ 89.32/12.07 ( 89.32/12.07 ^[Y4 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y5 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y5 @ 89.32/12.07 Y0) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y6 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y6 @ 89.32/12.07 Y1) & 89.32/12.07 (( 89.32/12.07 (Y4) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y6 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl741])). 89.32/12.07 thf(zip_derived_cl752, plain, 89.32/12.07 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => 89.32/12.07 (((subset @ Y1 @ Y0) => (((Y0) = (Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((subset @ Y0 @ emptyset) => (((Y0) = (emptyset)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y1 @ Y0) => (in @ Y1 @ 89.32/12.07 (powerset @ Y0)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((in @ Y1 @ (powerset @ Y0)) => 89.32/12.07 (subset @ Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => (subset @ 89.32/12.07 (powerset @ Y0) @ 89.32/12.07 (powerset @ Y1)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (in @ (dsetconstr @ Y0 @ Y1) @ 89.32/12.07 (powerset @ Y0)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (subset @ 89.32/12.07 (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ 89.32/12.07 Y0) => (in @ 89.32/12.07 Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (in @ Y1 @ 89.32/12.07 (setadjoin @ Y0 @ 89.32/12.07 (setadjoin @ Y1 @ 89.32/12.07 emptyset))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (Y3))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) | 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ Y0 @ 89.32/12.07 (binunion @ Y0 @ 89.32/12.07 Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ Y1 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((subset @ 89.32/12.07 Y0 @ Y1) => 89.32/12.07 (((binintersect @ 89.32/12.07 Y0 @ Y1) = 89.32/12.07 (Y0))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) = 89.32/12.07 (Y1))) => 89.32/12.07 (subset @ 89.32/12.07 Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 ( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) & 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y1))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y1 @ Y2)) = 89.32/12.07 (binunion @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y2))))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (((( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (Y3))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y0 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 Y0))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 Y0)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y1))) | 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 dsetconstr @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))) @ 89.32/12.07 ( 89.32/12.07 ^[Y4 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y5 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y5 @ 89.32/12.07 Y0) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y6 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y6 @ 89.32/12.07 Y1) & 89.32/12.07 (( 89.32/12.07 (Y4) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y6 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl746])). 89.32/12.07 thf(zip_derived_cl759, plain, 89.32/12.07 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((subset @ Y0 @ emptyset) => (((Y0) = (emptyset)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y1 @ Y0) => (in @ Y1 @ 89.32/12.07 (powerset @ Y0)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((in @ Y1 @ (powerset @ Y0)) => 89.32/12.07 (subset @ Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => (subset @ 89.32/12.07 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (in @ (dsetconstr @ Y0 @ Y1) @ 89.32/12.07 (powerset @ Y0)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (subset @ 89.32/12.07 (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ 89.32/12.07 Y0) => (in @ 89.32/12.07 Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (in @ Y1 @ 89.32/12.07 (setadjoin @ Y0 @ 89.32/12.07 (setadjoin @ Y1 @ emptyset))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (Y3))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) | 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ Y0 @ 89.32/12.07 (binunion @ Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ Y1 @ 89.32/12.07 (binunion @ Y0 @ 89.32/12.07 Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (((in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((((binintersect @ 89.32/12.07 Y0 @ Y1) = 89.32/12.07 (Y1))) => 89.32/12.07 (subset @ 89.32/12.07 Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 ( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) & 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y1))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y1 @ Y2)) = 89.32/12.07 (binunion @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y2))))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (((((!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (((( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1)))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setminus @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (setminus @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (emptyset))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (Y3))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y0))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ Y1))) => 89.32/12.07 (( 89.32/12.07 (~) @ ( 89.32/12.07 in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 symdiff @ 89.32/12.07 Y0 @ Y1))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y0 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 (setunion @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 (setadjoin @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 (setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 ( 89.32/12.07 setunion @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))) & 89.32/12.07 (( 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 Y0))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 Y0)))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y1 @ 89.32/12.07 emptyset))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y1))) | 89.32/12.07 (( 89.32/12.07 (Y2) = 89.32/12.07 (Y0)))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)))))))))))))))))))) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y3 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y3 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y3 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)) @ 89.32/12.07 ( 89.32/12.07 dsetconstr @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 powerset @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1))) @ 89.32/12.07 ( 89.32/12.07 ^[Y4 : $i]: 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y5 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y5 @ 89.32/12.07 Y0) & 89.32/12.07 (( 89.32/12.07 (??) @ ( 89.32/12.07 ^[Y6 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y6 @ 89.32/12.07 Y1) & 89.32/12.07 (( 89.32/12.07 (Y4) = 89.32/12.07 (setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 emptyset) @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y5 @ 89.32/12.07 ( 89.32/12.07 setadjoin @ 89.32/12.07 Y6 @ 89.32/12.07 emptyset)) @ 89.32/12.07 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.07 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl752])). 89.32/12.07 thf(zip_derived_cl765, plain, 89.32/12.07 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y1 @ Y0) => (in @ Y1 @ 89.32/12.07 (powerset @ Y0)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((in @ Y1 @ (powerset @ Y0)) => 89.32/12.07 (subset @ Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((subset @ Y0 @ Y1) => (subset @ 89.32/12.07 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (in @ (dsetconstr @ Y0 @ Y1) @ 89.32/12.07 (powerset @ Y0)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.07 (subset @ 89.32/12.07 (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ Y0) => 89.32/12.07 (in @ Y2 @ 89.32/12.07 (binunion @ Y0 @ 89.32/12.07 Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (in @ Y1 @ 89.32/12.07 (setadjoin @ Y0 @ 89.32/12.07 (setadjoin @ Y1 @ emptyset))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ 89.32/12.07 Y1) => (in @ 89.32/12.07 Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y3 : $o]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (Y3))) => 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (Y3))) => 89.32/12.07 (Y3))))))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ (^[Y2 : $i]: 89.32/12.07 (((in @ 89.32/12.07 Y2 @ 89.32/12.07 (binunion @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1) | 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ Y0 @ 89.32/12.07 (binunion @ Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ Y1 @ 89.32/12.07 (binunion @ Y0 @ Y1)))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (((in @ Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (((in @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (((subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 Y1) => 89.32/12.07 (subset @ 89.32/12.07 Y2 @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1))))))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y0)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y0))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ (^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))) => 89.32/12.07 (subset @ 89.32/12.07 Y1 @ Y0))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1)) => 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (((( 89.32/12.07 (~) @ ( 89.32/12.07 ((??) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (in @ 89.32/12.07 Y2 @ 89.32/12.07 Y0) & 89.32/12.07 (in @ 89.32/12.07 Y2 @ Y1)))))))) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ Y1) = 89.32/12.07 (emptyset))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (subset @ 89.32/12.07 ( 89.32/12.07 binintersect @ 89.32/12.07 Y0 @ Y1) @ 89.32/12.07 Y1))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (((!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (subset @ 89.32/12.07 Y1 @ 89.32/12.07 Y0) => 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y1))))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 Y1) = 89.32/12.07 (Y0))) => 89.32/12.07 (subset @ 89.32/12.07 Y0 @ Y1))))))))) => 89.32/12.07 (((((!!) @ (^[Y0 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y1 : $i]: 89.32/12.07 (( 89.32/12.07 (!!) @ ( 89.32/12.07 ^[Y2 : $i]: 89.32/12.07 (( 89.32/12.07 (binintersect @ 89.32/12.07 Y0 @ 89.32/12.07 ( 89.32/12.07 binunion @ 89.32/12.07 Y1 @ Y2)) = 89.32/12.08 (binunion @ 89.32/12.08 ( 89.32/12.08 binintersect @ 89.32/12.08 Y0 @ Y1) @ 89.32/12.08 ( 89.32/12.08 binintersect @ 89.32/12.08 Y0 @ Y2))))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y0)))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1)))))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (subset @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) => 89.32/12.08 (( 89.32/12.08 (setminus @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) = 89.32/12.08 (emptyset))))))))))) => 89.32/12.08 (((( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)))) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y1)))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0)))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (subset @ 89.32/12.08 (setminus @ 89.32/12.08 Y0 @ Y1) @ 89.32/12.08 Y0))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (setminus @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) = 89.32/12.08 (emptyset))) => 89.32/12.08 (subset @ 89.32/12.08 Y0 @ Y1))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $o]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (Y3))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (Y3))))) => 89.32/12.08 (Y3))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (in @ 89.32/12.08 Y1 @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (in @ 89.32/12.08 Y0 @ 89.32/12.08 (setunion @ 89.32/12.08 (setadjoin @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 (setadjoin @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (in @ 89.32/12.08 Y1 @ 89.32/12.08 (setunion @ 89.32/12.08 (setadjoin @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 (setadjoin @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (??) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setunion @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))) & 89.32/12.08 (( 89.32/12.08 (??) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 ( 89.32/12.08 setunion @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))) & 89.32/12.08 (( 89.32/12.08 (setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)) = 89.32/12.08 (setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (??) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setunion @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))) & 89.32/12.08 (( 89.32/12.08 (??) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 ( 89.32/12.08 setunion @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))) & 89.32/12.08 (( 89.32/12.08 (setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)) = 89.32/12.08 (setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y1 @ 89.32/12.08 Y0) => 89.32/12.08 (subset @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset) @ 89.32/12.08 Y0))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y1 @ 89.32/12.08 Y0) => 89.32/12.08 (in @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 Y0)))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (in @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y0 @ Y1)))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (Y2) = 89.32/12.08 (Y1))) | 89.32/12.08 (( 89.32/12.08 (Y2) = 89.32/12.08 (Y0)))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 Y1) => 89.32/12.08 (subset @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y0 @ Y1)))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 Y1) => 89.32/12.08 (in @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y0 @ Y1))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 Y1) => 89.32/12.08 (subset @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)) @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y0 @ Y1))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 Y1) => 89.32/12.08 (in @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)) @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y0 @ Y1)))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 Y1) => 89.32/12.08 (in @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)) @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y0 @ Y1)))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y3 @ 89.32/12.08 Y1) => 89.32/12.08 (in @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y3 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)) @ 89.32/12.08 ( 89.32/12.08 dsetconstr @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 powerset @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y0 @ Y1))) @ 89.32/12.08 ( 89.32/12.08 ^[Y4 : $i]: 89.32/12.08 (( 89.32/12.08 (??) @ ( 89.32/12.08 ^[Y5 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y5 @ 89.32/12.08 Y0) & 89.32/12.08 (( 89.32/12.08 (??) @ ( 89.32/12.08 ^[Y6 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y6 @ 89.32/12.08 Y1) & 89.32/12.08 (( 89.32/12.08 (Y4) = 89.32/12.08 (setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y5 @ 89.32/12.08 emptyset) @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y5 @ 89.32/12.08 ( 89.32/12.08 setadjoin @ 89.32/12.08 Y6 @ 89.32/12.08 emptyset)) @ 89.32/12.08 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.32/12.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl759])). 89.32/12.08 thf(zip_derived_cl771, plain, 89.32/12.08 (~ (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((in @ Y1 @ (powerset @ Y0)) => (subset @ 89.32/12.08 Y1 @ Y0))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((subset @ Y0 @ Y1) => (subset @ 89.32/12.08 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.08 (in @ (dsetconstr @ Y0 @ Y1) @ 89.32/12.08 (powerset @ Y0)))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.32/12.08 (subset @ (dsetconstr @ Y0 @ Y1) @ 89.32/12.08 Y0))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((!!) @ (^[Y2 : $i]: 89.32/12.08 (((in @ Y2 @ Y0) => 89.32/12.08 (in @ Y2 @ 89.32/12.08 (binunion @ Y0 @ Y1))))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (in @ Y1 @ 89.32/12.08 (setadjoin @ Y0 @ 89.32/12.08 (setadjoin @ Y1 @ emptyset))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((!!) @ (^[Y2 : $i]: 89.32/12.08 (((in @ Y2 @ 89.32/12.08 Y1) => (in @ 89.32/12.08 Y2 @ 89.32/12.08 (binunion @ 89.32/12.08 Y0 @ Y1))))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((!!) @ (^[Y2 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y3 : $o]: 89.32/12.08 (((in @ 89.32/12.08 Y2 @ 89.32/12.08 (binunion @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (Y3))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (Y3))) => 89.32/12.08 (Y3))))))))))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((!!) @ (^[Y2 : $i]: 89.32/12.08 (((in @ Y2 @ 89.32/12.08 (binunion @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (((in @ 89.32/12.08 Y2 @ Y1) | 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y0)))))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (subset @ Y0 @ 89.32/12.08 (binunion @ Y0 @ Y1)))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (subset @ Y1 @ 89.32/12.08 (binunion @ Y0 @ Y1)))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((!!) @ (^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 binintersect @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (((subset @ 89.32/12.08 Y2 @ Y0) => 89.32/12.08 (((subset @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (subset @ 89.32/12.08 Y2 @ 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (((in @ 89.32/12.08 Y2 @ 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y0)))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (subset @ 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ Y1) @ 89.32/12.08 Y0))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (((subset @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) => 89.32/12.08 (( 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ Y1) = 89.32/12.08 (Y0))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) = 89.32/12.08 (Y1))) => 89.32/12.08 (subset @ 89.32/12.08 Y1 @ Y0))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ (^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 binintersect @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y1)))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (((((~) @ ( 89.32/12.08 ((??) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) & 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y1)))))))) => 89.32/12.08 (((binintersect @ 89.32/12.08 Y0 @ Y1) = 89.32/12.08 (emptyset))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (subset @ 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ Y1) @ 89.32/12.08 Y1))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (subset @ 89.32/12.08 Y1 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) = 89.32/12.08 (Y1))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) = 89.32/12.08 (Y0))) => 89.32/12.08 (subset @ 89.32/12.08 Y0 @ Y1))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (binintersect @ 89.32/12.08 Y0 @ 89.32/12.08 ( 89.32/12.08 binunion @ 89.32/12.08 Y1 @ Y2)) = 89.32/12.08 (binunion @ 89.32/12.08 ( 89.32/12.08 binintersect @ 89.32/12.08 Y0 @ Y1) @ 89.32/12.08 ( 89.32/12.08 binintersect @ 89.32/12.08 Y0 @ Y2))))))))))))) => 89.32/12.08 (((((!!) @ (^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y0)))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (((!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1)))))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (subset @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) => 89.32/12.08 (( 89.32/12.08 (setminus @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) = 89.32/12.08 (emptyset))))))))))) => 89.32/12.08 (((((!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)))) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ Y1)))))))))))))) => 89.32/12.08 (((( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1)))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0)))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 setminus @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (subset @ 89.32/12.08 (setminus @ 89.32/12.08 Y0 @ Y1) @ 89.32/12.08 Y0))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (setminus @ 89.32/12.08 Y0 @ 89.32/12.08 Y1) = 89.32/12.08 (emptyset))) => 89.32/12.08 (subset @ 89.32/12.08 Y0 @ Y1))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1)) => 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y3 : $o]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (Y3))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (Y3))))) => 89.32/12.08 (Y3))))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y0) => 89.32/12.08 (( 89.32/12.08 (in @ 89.32/12.08 Y2 @ 89.32/12.08 Y1) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y2 : $i]: 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y0))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ Y1))) => 89.32/12.08 (( 89.32/12.08 (~) @ ( 89.32/12.08 in @ 89.32/12.08 Y2 @ 89.32/12.08 ( 89.32/12.08 symdiff @ 89.32/12.08 Y0 @ Y1))))))))))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y0 : $i]: 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.32/12.08 ^[Y1 : $i]: 89.32/12.08 (in @ 89.32/12.08 Y1 @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y0 @ 89.32/12.08 (setadjoin @ 89.32/12.08 Y1 @ 89.32/12.08 emptyset))))))))) => 89.32/12.08 (( 89.32/12.08 (( 89.32/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y0 @ 89.58/12.08 (setunion @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 (setunion @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset) @ 89.58/12.08 Y0))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 Y0)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (Y2) = 89.58/12.08 (Y1))) | 89.58/12.08 (( 89.58/12.08 (Y2) = 89.58/12.08 (Y0)))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 dsetconstr @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))) @ 89.58/12.08 ( 89.58/12.08 ^[Y4 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y5 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y5 @ 89.58/12.08 Y0) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y6 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y6 @ 89.58/12.08 Y1) & 89.58/12.08 (( 89.58/12.08 (Y4) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y5 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y5 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y6 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl765])). 89.58/12.08 thf(zip_derived_cl776, plain, 89.58/12.08 (~ (((((!!) @ (^[Y0 : $i]: (in @ Y0 @ (powerset @ Y0))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((subset @ Y0 @ Y1) => (subset @ 89.58/12.08 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.58/12.08 (in @ (dsetconstr @ Y0 @ Y1) @ 89.58/12.08 (powerset @ Y0)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.58/12.08 (subset @ (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ Y0) => 89.58/12.08 (in @ Y2 @ 89.58/12.08 (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (in @ Y1 @ 89.58/12.08 (setadjoin @ Y0 @ 89.58/12.08 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ Y1) => 89.58/12.08 (in @ Y2 @ 89.58/12.08 (binunion @ Y0 @ 89.58/12.08 Y1))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y3 : $o]: 89.58/12.08 (((in @ Y2 @ 89.58/12.08 (binunion @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (((( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (Y3))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (Y3))) => 89.58/12.08 (Y3))))))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ 89.58/12.08 (binunion @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (((in @ Y2 @ 89.58/12.08 Y1) | (in @ 89.58/12.08 Y2 @ Y0)))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ Y0 @ 89.58/12.08 (binunion @ Y0 @ Y1)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ Y1 @ 89.58/12.08 (binunion @ Y0 @ Y1)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ Y2 @ 89.58/12.08 Y0)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y0))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((subset @ 89.58/12.08 Y0 @ Y1) => 89.58/12.08 (((binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y0))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y1))) => 89.58/12.08 (subset @ 89.58/12.08 Y1 @ Y0))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 ( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) & 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))) => 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y1))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (((subset @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y1))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (Y0))) => 89.58/12.08 (subset @ 89.58/12.08 Y0 @ Y1))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y1 @ Y2)) = 89.58/12.08 (binunion @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y2))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y0)))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1)))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)))) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0)))))))))))))))) => 89.58/12.08 (((( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y0))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))) => 89.58/12.08 (subset @ 89.58/12.08 Y0 @ Y1))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $o]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (Y3))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (Y3))))) => 89.58/12.08 (Y3))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y0 @ 89.58/12.08 (setunion @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 (setunion @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset) @ 89.58/12.08 Y0))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 Y0)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (Y2) = 89.58/12.08 (Y1))) | 89.58/12.08 (( 89.58/12.08 (Y2) = 89.58/12.08 (Y0)))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 dsetconstr @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))) @ 89.58/12.08 ( 89.58/12.08 ^[Y4 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y5 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y5 @ 89.58/12.08 Y0) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y6 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y6 @ 89.58/12.08 Y1) & 89.58/12.08 (( 89.58/12.08 (Y4) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y5 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y5 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y6 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl771])). 89.58/12.08 thf(zip_derived_cl782, plain, 89.58/12.08 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((subset @ Y0 @ Y1) => (subset @ 89.58/12.08 (powerset @ Y0) @ (powerset @ Y1)))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.58/12.08 (in @ (dsetconstr @ Y0 @ Y1) @ 89.58/12.08 (powerset @ Y0)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.58/12.08 (subset @ (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ Y0) => (in @ 89.58/12.08 Y2 @ 89.58/12.08 (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (in @ Y1 @ 89.58/12.08 (setadjoin @ Y0 @ 89.58/12.08 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ Y1) => 89.58/12.08 (in @ Y2 @ 89.58/12.08 (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((!!) @ (^[Y3 : $o]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (Y3))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (Y3))) => 89.58/12.08 (Y3))))))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ 89.58/12.08 (binunion @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (((in @ Y2 @ 89.58/12.08 Y1) | (in @ 89.58/12.08 Y2 @ Y0)))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ Y0 @ 89.58/12.08 (binunion @ Y0 @ Y1)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ Y1 @ 89.58/12.08 (binunion @ Y0 @ Y1)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y0)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y0))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((subset @ 89.58/12.08 Y0 @ Y1) => 89.58/12.08 (((binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y0))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((((binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y1))) => 89.58/12.08 (subset @ 89.58/12.08 Y1 @ Y0))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 ( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) & 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))) => 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y1))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (((subset @ 89.58/12.08 Y1 @ Y0) => 89.58/12.08 (((binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y1))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (((( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y0))) => 89.58/12.08 (subset @ 89.58/12.08 Y0 @ Y1))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y1 @ Y2)) = 89.58/12.08 (binunion @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y2))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y0)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1)))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)))) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0)))))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y0))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))) => 89.58/12.08 (subset @ 89.58/12.08 Y0 @ Y1))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $o]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (Y3))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (Y3))))) => 89.58/12.08 (Y3))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y0 @ 89.58/12.08 (setunion @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 (setunion @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 (setadjoin @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 (setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 ( 89.58/12.08 setunion @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))) & 89.58/12.08 (( 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset) @ 89.58/12.08 Y0))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 Y0)))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y1 @ 89.58/12.08 emptyset))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (Y2) = 89.58/12.08 (Y1))) | 89.58/12.08 (( 89.58/12.08 (Y2) = 89.58/12.08 (Y0)))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)))))))))))))))))))) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y3 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y3 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)) @ 89.58/12.08 ( 89.58/12.08 dsetconstr @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 powerset @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1))) @ 89.58/12.08 ( 89.58/12.08 ^[Y4 : $i]: 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y5 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y5 @ 89.58/12.08 Y0) & 89.58/12.08 (( 89.58/12.08 (??) @ ( 89.58/12.08 ^[Y6 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y6 @ 89.58/12.08 Y1) & 89.58/12.08 (( 89.58/12.08 (Y4) = 89.58/12.08 (setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y5 @ 89.58/12.08 emptyset) @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y5 @ 89.58/12.08 ( 89.58/12.08 setadjoin @ 89.58/12.08 Y6 @ 89.58/12.08 emptyset)) @ 89.58/12.08 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.08 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl776])). 89.58/12.08 thf(zip_derived_cl788, plain, 89.58/12.08 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.58/12.08 (in @ (dsetconstr @ Y0 @ Y1) @ 89.58/12.08 (powerset @ Y0)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i > $o]: 89.58/12.08 (subset @ (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ Y0) => (in @ 89.58/12.08 Y2 @ (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (in @ Y1 @ 89.58/12.08 (setadjoin @ Y0 @ 89.58/12.08 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ Y1) => 89.58/12.08 (in @ Y2 @ 89.58/12.08 (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((!!) @ (^[Y3 : $o]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (Y3))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (Y3))) => 89.58/12.08 (Y3))))))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ 89.58/12.08 (binunion @ Y0 @ 89.58/12.08 Y1)) => 89.58/12.08 (((in @ Y2 @ Y1) | 89.58/12.08 (in @ Y2 @ Y0)))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ Y0 @ 89.58/12.08 (binunion @ Y0 @ Y1)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ Y1 @ 89.58/12.08 (binunion @ Y0 @ Y1)))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((in @ Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (((in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (((subset @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (subset @ 89.58/12.08 Y2 @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ (^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y0)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y0))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((subset @ Y0 @ 89.58/12.08 Y1) => 89.58/12.08 (((binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y0))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((((binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y1))) => 89.58/12.08 (subset @ 89.58/12.08 Y1 @ Y0))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (((( 89.58/12.08 (~) @ ( 89.58/12.08 ((??) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) & 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))) => 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (emptyset))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y1))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ (^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y1 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (Y1))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (((((binintersect @ 89.58/12.08 Y0 @ Y1) = 89.58/12.08 (Y0))) => 89.58/12.08 (subset @ 89.58/12.08 Y0 @ Y1))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (binintersect @ 89.58/12.08 Y0 @ 89.58/12.08 ( 89.58/12.08 binunion @ 89.58/12.08 Y1 @ Y2)) = 89.58/12.08 (binunion @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 ( 89.58/12.08 binintersect @ 89.58/12.08 Y0 @ Y2))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y0)))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1)))))))))))))) => 89.58/12.08 (((((!!) @ (^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (subset @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)))) => 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (in @ 89.58/12.08 Y2 @ Y1)))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (((!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1)))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0)))))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((((!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y1) => 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 setminus @ 89.58/12.08 Y0 @ Y1))))))))))))))) => 89.58/12.08 (((( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (subset @ 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ Y1) @ 89.58/12.08 Y0))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (setminus @ 89.58/12.08 Y0 @ 89.58/12.08 Y1) = 89.58/12.08 (emptyset))) => 89.58/12.08 (subset @ 89.58/12.08 Y0 @ Y1))))))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y0 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y1 : $i]: 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y2 : $i]: 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 ( 89.58/12.08 symdiff @ 89.58/12.08 Y0 @ Y1)) => 89.58/12.08 (( 89.58/12.08 (!!) @ ( 89.58/12.08 ^[Y3 : $o]: 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (in @ 89.58/12.08 Y2 @ 89.58/12.08 Y0) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y1))) => 89.58/12.08 (Y3))))) => 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (( 89.58/12.08 (~) @ ( 89.58/12.08 in @ 89.58/12.08 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y0 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 Y0))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 Y0)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y1))) | 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y0)))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 dsetconstr @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))) @ 89.58/12.09 ( 89.58/12.09 ^[Y4 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y5 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y5 @ 89.58/12.09 Y0) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y6 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y6 @ 89.58/12.09 Y1) & 89.58/12.09 (( 89.58/12.09 (Y4) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y6 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl782])). 89.58/12.09 thf(zip_derived_cl792, plain, 89.58/12.09 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i > $o]: 89.58/12.09 (subset @ (dsetconstr @ Y0 @ Y1) @ Y0))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y0) => (in @ 89.58/12.09 Y2 @ (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (in @ Y1 @ 89.58/12.09 (setadjoin @ Y0 @ 89.58/12.09 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y1) => (in @ 89.58/12.09 Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((!!) @ (^[Y3 : $o]: 89.58/12.09 (((in @ 89.58/12.09 Y2 @ 89.58/12.09 (binunion @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (Y3))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1)) => 89.58/12.09 (((in @ Y2 @ Y1) | 89.58/12.09 (in @ Y2 @ Y0)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y0 @ 89.58/12.09 (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y1 @ 89.58/12.09 (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (((in @ Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((subset @ 89.58/12.09 Y2 @ Y0) => 89.58/12.09 (((subset @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ Y0 @ 89.58/12.09 Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ Y0 @ 89.58/12.09 Y1) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = (Y0))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y1))) => 89.58/12.09 (subset @ Y1 @ 89.58/12.09 Y0))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (((in @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((~) @ ( 89.58/12.09 ((??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) & 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y1))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (subset @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (Y1))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (Y0))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y1 @ Y2)) = 89.58/12.09 (binunion @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y2))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (subset @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0)))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $o]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (Y3))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y0 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 Y0))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 Y0)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y1))) | 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y0)))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 dsetconstr @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))) @ 89.58/12.09 ( 89.58/12.09 ^[Y4 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y5 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y5 @ 89.58/12.09 Y0) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y6 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y6 @ 89.58/12.09 Y1) & 89.58/12.09 (( 89.58/12.09 (Y4) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y6 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl788])). 89.58/12.09 thf(zip_derived_cl796, plain, 89.58/12.09 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y0) => (in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (in @ Y1 @ 89.58/12.09 (setadjoin @ Y0 @ 89.58/12.09 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y1) => (in @ 89.58/12.09 Y2 @ (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((!!) @ (^[Y3 : $o]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (((( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (Y3))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1)) => 89.58/12.09 (((in @ Y2 @ Y1) | 89.58/12.09 (in @ Y2 @ Y0)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y0 @ 89.58/12.09 (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y1 @ 89.58/12.09 (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (((in @ Y2 @ 89.58/12.09 Y1) => (in @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((subset @ 89.58/12.09 Y2 @ Y0) => 89.58/12.09 (((subset @ 89.58/12.09 Y2 @ Y1) => 89.58/12.09 (subset @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ Y2 @ 89.58/12.09 Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ Y0 @ 89.58/12.09 Y1) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = (Y0))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((binintersect @ 89.58/12.09 Y0 @ Y1) = (Y1))) => 89.58/12.09 (subset @ Y1 @ Y0))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ Y2 @ 89.58/12.09 Y1)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((~) @ ( 89.58/12.09 ((??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 ( 89.58/12.09 ( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) & 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y1))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y1))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (Y0))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y1 @ Y2)) = 89.58/12.09 (binunion @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y2))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (subset @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0)))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $o]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (Y3))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y0 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 Y0))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 Y0)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y1))) | 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y0)))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 dsetconstr @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))) @ 89.58/12.09 ( 89.58/12.09 ^[Y4 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y5 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y5 @ 89.58/12.09 Y0) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y6 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y6 @ 89.58/12.09 Y1) & 89.58/12.09 (( 89.58/12.09 (Y4) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y6 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl792])). 89.58/12.09 thf(zip_derived_cl801, plain, 89.58/12.09 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (in @ Y1 @ 89.58/12.09 (setadjoin @ Y0 @ 89.58/12.09 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y1) => (in @ 89.58/12.09 Y2 @ (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((!!) @ (^[Y3 : $o]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (((((in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (Y3))) => 89.58/12.09 (((( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1)) => 89.58/12.09 (((in @ Y2 @ Y1) | 89.58/12.09 (in @ Y2 @ Y0)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y0 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y1 @ 89.58/12.09 (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y0) => 89.58/12.09 (((in @ Y2 @ 89.58/12.09 Y1) => (in @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((subset @ Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (((subset @ 89.58/12.09 Y2 @ Y1) => 89.58/12.09 (subset @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ Y0 @ Y1) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = (Y0))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((binintersect @ 89.58/12.09 Y0 @ Y1) = (Y1))) => 89.58/12.09 (subset @ Y1 @ Y0))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((~) @ ( 89.58/12.09 ((??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (((in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) & 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y1))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ 89.58/12.09 Y1 @ Y0) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y1))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y0))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y1 @ Y2)) = 89.58/12.09 (binunion @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y2))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (subset @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0)))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $o]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (Y3))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y0 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 Y0))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 Y0)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y1))) | 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y0)))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 dsetconstr @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))) @ 89.58/12.09 ( 89.58/12.09 ^[Y4 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y5 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y5 @ 89.58/12.09 Y0) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y6 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y6 @ 89.58/12.09 Y1) & 89.58/12.09 (( 89.58/12.09 (Y4) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y6 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl796])). 89.58/12.09 thf(zip_derived_cl805, plain, 89.58/12.09 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y1) => (in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((!!) @ (^[Y3 : $o]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (((((in @ Y2 @ 89.58/12.09 Y0) => (Y3))) => 89.58/12.09 (((((in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1)) => 89.58/12.09 (((in @ Y2 @ Y1) | (in @ 89.58/12.09 Y2 @ Y0)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y0 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y1 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y0) => 89.58/12.09 (((in @ Y2 @ Y1) => 89.58/12.09 (in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((subset @ Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (((subset @ Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ Y0 @ Y1) => 89.58/12.09 (((binintersect @ Y0 @ 89.58/12.09 Y1) = (Y0))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((binintersect @ 89.58/12.09 Y0 @ Y1) = (Y1))) => 89.58/12.09 (subset @ Y1 @ Y0))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((~) @ (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) & 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y1))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ 89.58/12.09 Y1 @ Y0) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y1))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y0))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y1 @ Y2)) = 89.58/12.09 (binunion @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y2))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((subset @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0)))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $o]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (Y3))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y0 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 (setunion @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 (setadjoin @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 (setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 ( 89.58/12.09 setunion @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))) & 89.58/12.09 (( 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 Y0))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 Y0)))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y1 @ 89.58/12.09 emptyset))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y1))) | 89.58/12.09 (( 89.58/12.09 (Y2) = 89.58/12.09 (Y0)))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (subset @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1)))))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y3 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y3 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)) @ 89.58/12.09 ( 89.58/12.09 dsetconstr @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 powerset @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y0 @ Y1))) @ 89.58/12.09 ( 89.58/12.09 ^[Y4 : $i]: 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y5 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y5 @ 89.58/12.09 Y0) & 89.58/12.09 (( 89.58/12.09 (??) @ ( 89.58/12.09 ^[Y6 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y6 @ 89.58/12.09 Y1) & 89.58/12.09 (( 89.58/12.09 (Y4) = 89.58/12.09 (setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 emptyset) @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y5 @ 89.58/12.09 ( 89.58/12.09 setadjoin @ 89.58/12.09 Y6 @ 89.58/12.09 emptyset)) @ 89.58/12.09 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.09 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl801])). 89.58/12.09 thf(zip_derived_cl809, plain, 89.58/12.09 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((!!) @ (^[Y3 : $o]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ 89.58/12.09 Y1)) => 89.58/12.09 (((((in @ Y2 @ 89.58/12.09 Y0) => (Y3))) => 89.58/12.09 (((((in @ Y2 @ 89.58/12.09 Y1) => (Y3))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binunion @ Y0 @ Y1)) => 89.58/12.09 (((in @ Y2 @ Y1) | (in @ 89.58/12.09 Y2 @ Y0)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y0 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ Y1 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ Y0) => 89.58/12.09 (((in @ Y2 @ Y1) => 89.58/12.09 (in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((subset @ Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (((subset @ Y2 @ 89.58/12.09 Y1) => (subset @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ Y0 @ Y1) @ Y0))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ Y0 @ Y1) => 89.58/12.09 (((binintersect @ Y0 @ 89.58/12.09 Y1) = (Y0))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((binintersect @ Y0 @ 89.58/12.09 Y1) = (Y1))) => 89.58/12.09 (subset @ Y1 @ Y0))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ (^[Y2 : $i]: 89.58/12.09 (((in @ 89.58/12.09 Y2 @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((~) @ (((??) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) & 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y1))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((subset @ Y1 @ 89.58/12.09 Y0) => 89.58/12.09 (((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y1))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((((binintersect @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (Y0))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (binintersect @ 89.58/12.09 Y0 @ 89.58/12.09 ( 89.58/12.09 binunion @ 89.58/12.09 Y1 @ Y2)) = 89.58/12.09 (binunion @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 ( 89.58/12.09 binintersect @ 89.58/12.09 Y0 @ Y2))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y0)))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ (^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((subset @ 89.58/12.09 Y0 @ Y1) => 89.58/12.09 (((setminus @ 89.58/12.09 Y0 @ Y1) = 89.58/12.09 (emptyset))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ Y1)))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1)))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0)))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 setminus @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ (^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (subset @ 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ Y1) @ 89.58/12.09 Y0))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (setminus @ 89.58/12.09 Y0 @ 89.58/12.09 Y1) = 89.58/12.09 (emptyset))) => 89.58/12.09 (subset @ 89.58/12.09 Y0 @ Y1))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (((!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1)) => 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y3 : $o]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (Y3))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (Y3))))) => 89.58/12.09 (Y3))))))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((((!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))) => 89.58/12.09 (((( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y0) => 89.58/12.09 (( 89.58/12.09 (in @ 89.58/12.09 Y2 @ 89.58/12.09 Y1) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y0 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y1 : $i]: 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.09 ^[Y2 : $i]: 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y0))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ Y1))) => 89.58/12.09 (( 89.58/12.09 (~) @ ( 89.58/12.09 in @ 89.58/12.09 Y2 @ 89.58/12.09 ( 89.58/12.09 symdiff @ 89.58/12.09 Y0 @ Y1))))))))))))))))) => 89.58/12.09 (( 89.58/12.09 (( 89.58/12.09 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y0 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 Y0))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 Y0)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y1))) | 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y0)))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset 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Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ 89.58/12.10 Y1) = 89.58/12.10 (emptyset))) => 89.58/12.10 (subset @ 89.58/12.10 Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $o]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (Y3))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (Y3))))) => 89.58/12.10 (Y3))))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y0 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 Y0))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 Y0)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y1))) | 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y0)))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 dsetconstr @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))) @ 89.58/12.10 ( 89.58/12.10 ^[Y4 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y5 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y5 @ 89.58/12.10 Y0) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y6 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y6 @ 89.58/12.10 Y1) & 89.58/12.10 (( 89.58/12.10 (Y4) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y6 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl809])). 89.58/12.10 thf(zip_derived_cl818, plain, 89.58/12.10 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ Y0 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ Y1 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ Y0) => 89.58/12.10 (((in @ Y2 @ Y1) => (in @ 89.58/12.10 Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((subset @ Y2 @ Y0) => 89.58/12.10 (((subset @ Y2 @ Y1) => 89.58/12.10 (subset @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ 89.58/12.10 Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ 89.58/12.10 Y1)) => 89.58/12.10 (in @ Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (binintersect @ Y0 @ Y1) @ Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y0 @ Y1) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = 89.58/12.10 (Y0))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ Y0 @ Y1) = 89.58/12.10 (Y1))) => 89.58/12.10 (subset @ Y1 @ Y0))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y1)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((~) @ (((??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ 89.58/12.10 Y2 @ Y0) & 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))) => 89.58/12.10 (((binintersect @ Y0 @ 89.58/12.10 Y1) = (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (binintersect @ Y0 @ Y1) @ 89.58/12.10 Y1))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (((binintersect @ 89.58/12.10 Y0 @ Y1) = (Y1))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ 89.58/12.10 Y0 @ Y1) = (Y0))) => 89.58/12.10 (subset @ Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((binintersect @ 89.58/12.10 Y0 @ 89.58/12.10 (binunion @ 89.58/12.10 Y1 @ Y2)) = 89.58/12.10 (binunion @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y2))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ Y2 @ 89.58/12.10 Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (subset @ 89.58/12.10 Y0 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ 89.58/12.10 Y1) = 89.58/12.10 (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0)))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ 89.58/12.10 Y1) = 89.58/12.10 (emptyset))) => 89.58/12.10 (subset @ 89.58/12.10 Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $o]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (Y3))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (Y3))))) => 89.58/12.10 (Y3))))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y0 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 Y0))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 Y0)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y1))) | 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y0)))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 dsetconstr @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))) @ 89.58/12.10 ( 89.58/12.10 ^[Y4 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y5 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y5 @ 89.58/12.10 Y0) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y6 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y6 @ 89.58/12.10 Y1) & 89.58/12.10 (( 89.58/12.10 (Y4) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y6 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl814])). 89.58/12.10 thf(zip_derived_cl823, plain, 89.58/12.10 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ Y1 @ (binunion @ Y0 @ Y1)))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ Y0) => 89.58/12.10 (((in @ Y2 @ Y1) => (in @ 89.58/12.10 Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((subset @ Y2 @ Y0) => 89.58/12.10 (((subset @ Y2 @ Y1) => 89.58/12.10 (subset @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (binintersect @ Y0 @ Y1) @ Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y0 @ Y1) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = 89.58/12.10 (Y0))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ Y0 @ Y1) = 89.58/12.10 (Y1))) => 89.58/12.10 (subset @ Y1 @ Y0))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y1)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((~) @ (((??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 Y0) & (in @ 89.58/12.10 Y2 @ Y1)))))))) => 89.58/12.10 (((binintersect @ Y0 @ 89.58/12.10 Y1) = (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (binintersect @ Y0 @ Y1) @ 89.58/12.10 Y1))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y1 @ Y0) => 89.58/12.10 (((binintersect @ 89.58/12.10 Y0 @ Y1) = (Y1))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ 89.58/12.10 Y0 @ Y1) = (Y0))) => 89.58/12.10 (subset @ Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y1 @ Y2)) = 89.58/12.10 (binunion @ 89.58/12.10 ( 89.58/12.10 binintersect @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 ( 89.58/12.10 binintersect @ 89.58/12.10 Y0 @ Y2))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (((( 89.58/12.10 (~) @ ( 89.58/12.10 in @ Y2 @ 89.58/12.10 Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ 89.58/12.10 Y2 @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ 89.58/12.10 Y0 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1) = 89.58/12.10 (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0)))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ 89.58/12.10 Y1) = 89.58/12.10 (emptyset))) => 89.58/12.10 (subset @ 89.58/12.10 Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $o]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (Y3))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (Y3))))) => 89.58/12.10 (Y3))))))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))))))))) => 89.58/12.10 (((( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y0 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 Y0))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 Y0)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y1))) | 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y0)))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 dsetconstr @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))) @ 89.58/12.10 ( 89.58/12.10 ^[Y4 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y5 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y5 @ 89.58/12.10 Y0) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y6 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y6 @ 89.58/12.10 Y1) & 89.58/12.10 (( 89.58/12.10 (Y4) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y6 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl818])). 89.58/12.10 thf(zip_derived_cl828, plain, 89.58/12.10 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ Y0) => 89.58/12.10 (((in @ Y2 @ Y1) => (in @ 89.58/12.10 Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((subset @ Y2 @ Y0) => 89.58/12.10 (((subset @ Y2 @ Y1) => 89.58/12.10 (subset @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ (binintersect @ Y0 @ Y1) @ 89.58/12.10 Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y0 @ Y1) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ Y0 @ Y1) = 89.58/12.10 (Y1))) => 89.58/12.10 (subset @ Y1 @ Y0))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y1)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) & 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = 89.58/12.10 (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (binintersect @ Y0 @ Y1) @ 89.58/12.10 Y1))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y1 @ Y0) => 89.58/12.10 (((binintersect @ Y0 @ 89.58/12.10 Y1) = (Y1))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ 89.58/12.10 Y0 @ Y1) = (Y0))) => 89.58/12.10 (subset @ Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y1 @ Y2)) = 89.58/12.10 (binunion @ 89.58/12.10 ( 89.58/12.10 binintersect @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 ( 89.58/12.10 binintersect @ 89.58/12.10 Y0 @ Y2))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ 89.58/12.10 Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ 89.58/12.10 Y2 @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ Y2 @ 89.58/12.10 Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ 89.58/12.10 Y0 @ Y1) => 89.58/12.10 (((setminus @ 89.58/12.10 Y0 @ Y1) = 89.58/12.10 (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0)))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ 89.58/12.10 Y1) = 89.58/12.10 (emptyset))) => 89.58/12.10 (subset @ 89.58/12.10 Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $o]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (Y3))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (Y3))))) => 89.58/12.10 (Y3))))))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y0 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (((( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 Y0))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 Y0)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y1))) | 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y0)))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 dsetconstr @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))) @ 89.58/12.10 ( 89.58/12.10 ^[Y4 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y5 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y5 @ 89.58/12.10 Y0) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y6 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y6 @ 89.58/12.10 Y1) & 89.58/12.10 (( 89.58/12.10 (Y4) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y6 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl823])). 89.58/12.10 thf(zip_derived_cl834, plain, 89.58/12.10 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((subset @ Y2 @ Y0) => 89.58/12.10 (((subset @ Y2 @ Y1) => 89.58/12.10 (subset @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ (binintersect @ Y0 @ Y1) @ Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y0 @ Y1) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ Y0 @ Y1) = (Y1))) => 89.58/12.10 (subset @ Y1 @ Y0))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y1)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) & 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = 89.58/12.10 (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (binintersect @ Y0 @ Y1) @ Y1))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y1 @ Y0) => 89.58/12.10 (((binintersect @ Y0 @ 89.58/12.10 Y1) = (Y1))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ Y0 @ 89.58/12.10 Y1) = (Y0))) => 89.58/12.10 (subset @ Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((binintersect @ 89.58/12.10 Y0 @ 89.58/12.10 (binunion @ 89.58/12.10 Y1 @ Y2)) = 89.58/12.10 (binunion @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 (binintersect @ 89.58/12.10 Y0 @ Y2))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (((~) @ ( 89.58/12.10 in @ Y2 @ 89.58/12.10 Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ 89.58/12.10 Y0 @ Y1) => 89.58/12.10 (((setminus @ 89.58/12.10 Y0 @ Y1) = 89.58/12.10 (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1)))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0)))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setminus @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1) @ 89.58/12.10 Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (((( 89.58/12.10 (setminus @ 89.58/12.10 Y0 @ Y1) = 89.58/12.10 (emptyset))) => 89.58/12.10 (subset @ 89.58/12.10 Y0 @ Y1))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1)) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $o]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (Y3))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (Y3))))) => 89.58/12.10 (Y3))))))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y1) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y0))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ Y1))) => 89.58/12.10 (( 89.58/12.10 (~) @ ( 89.58/12.10 in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 symdiff @ 89.58/12.10 Y0 @ Y1))))))))))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (((!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y0 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (((((!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 (setunion @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 (setadjoin @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 (setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))) => 89.58/12.10 (((( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 ( 89.58/12.10 setunion @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))) & 89.58/12.10 (( 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 Y0))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y1 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 Y0)))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y0 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y1 @ 89.58/12.10 emptyset))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y1))) | 89.58/12.10 (( 89.58/12.10 (Y2) = 89.58/12.10 (Y0)))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (subset @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1)))))))))))))))))))) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y0 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y1 : $i]: 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y2 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y2 @ 89.58/12.10 Y0) => 89.58/12.10 (( 89.58/12.10 (!!) @ ( 89.58/12.10 ^[Y3 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y3 @ 89.58/12.10 Y1) => 89.58/12.10 (in @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y2 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y3 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)) @ 89.58/12.10 ( 89.58/12.10 dsetconstr @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 powerset @ 89.58/12.10 ( 89.58/12.10 binunion @ 89.58/12.10 Y0 @ Y1))) @ 89.58/12.10 ( 89.58/12.10 ^[Y4 : $i]: 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y5 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y5 @ 89.58/12.10 Y0) & 89.58/12.10 (( 89.58/12.10 (??) @ ( 89.58/12.10 ^[Y6 : $i]: 89.58/12.10 (( 89.58/12.10 (in @ 89.58/12.10 Y6 @ 89.58/12.10 Y1) & 89.58/12.10 (( 89.58/12.10 (Y4) = 89.58/12.10 (setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 emptyset) @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y5 @ 89.58/12.10 ( 89.58/12.10 setadjoin @ 89.58/12.10 Y6 @ 89.58/12.10 emptyset)) @ 89.58/12.10 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.10 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl828])). 89.58/12.10 thf(zip_derived_cl840, plain, 89.58/12.10 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ Y1)) => 89.58/12.10 (in @ Y2 @ Y0)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ (binintersect @ Y0 @ Y1) @ Y0))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y0 @ Y1) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((binintersect @ Y0 @ Y1) = (Y1))) => 89.58/12.10 (subset @ Y1 @ Y0))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((!!) @ (^[Y2 : $i]: 89.58/12.10 (((in @ Y2 @ 89.58/12.10 (binintersect @ Y0 @ 89.58/12.10 Y1)) => 89.58/12.10 (in @ Y2 @ Y1)))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.10 (((in @ 89.58/12.10 Y2 @ Y0) & 89.58/12.10 (in @ 89.58/12.10 Y2 @ Y1)))))))) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = 89.58/12.10 (emptyset))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (subset @ 89.58/12.10 (binintersect @ Y0 @ Y1) @ Y1))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.10 (((!!) @ (^[Y1 : $i]: 89.58/12.10 (((subset @ Y1 @ Y0) => 89.58/12.10 (((binintersect @ Y0 @ Y1) = 89.58/12.10 (Y1))))))))))) => 89.58/12.10 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ 89.58/12.11 Y1) = (Y0))) => 89.58/12.11 (subset @ Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((binintersect @ 89.58/12.11 Y0 @ 89.58/12.11 (binunion @ 89.58/12.11 Y1 @ Y2)) = 89.58/12.11 (binunion @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y2))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y0)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ 89.58/12.11 Y1) => 89.58/12.11 (((setminus @ 89.58/12.11 Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0)))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((((setminus @ 89.58/12.11 Y0 @ Y1) = 89.58/12.11 (emptyset))) => 89.58/12.11 (subset @ 89.58/12.11 Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $o]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (Y3))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (Y3))))) => 89.58/12.11 (Y3))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y0 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 Y0))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 Y0)))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y1))) | 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y0)))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 dsetconstr @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))) @ 89.58/12.11 ( 89.58/12.11 ^[Y4 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y5 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y5 @ 89.58/12.11 Y0) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y6 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y6 @ 89.58/12.11 Y1) & 89.58/12.11 (( 89.58/12.11 (Y4) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y6 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.11 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl834])). 89.58/12.11 thf(zip_derived_cl846, plain, 89.58/12.11 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ (binintersect @ Y0 @ Y1) @ Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ Y1) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = (Y1))) => 89.58/12.11 (subset @ Y1 @ Y0))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (binintersect @ Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ Y1)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 Y0) & (in @ 89.58/12.11 Y2 @ Y1)))))))) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (binintersect @ Y0 @ Y1) @ Y1))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y1 @ Y0) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = 89.58/12.11 (Y1))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = 89.58/12.11 (Y0))) => 89.58/12.11 (subset @ Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((binintersect @ 89.58/12.11 Y0 @ 89.58/12.11 (binunion @ 89.58/12.11 Y1 @ Y2)) = 89.58/12.11 (binunion @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y2))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ 89.58/12.11 Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y0)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ 89.58/12.11 Y1) => 89.58/12.11 (((setminus @ 89.58/12.11 Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (((in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y0)))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ 89.58/12.11 Y1) = 89.58/12.11 (emptyset))) => 89.58/12.11 (subset @ 89.58/12.11 Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $o]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (Y3))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (Y3))))) => 89.58/12.11 (Y3))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 Y0))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 Y0)))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y1))) | 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y0)))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 dsetconstr @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))) @ 89.58/12.11 ( 89.58/12.11 ^[Y4 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y5 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y5 @ 89.58/12.11 Y0) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y6 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y6 @ 89.58/12.11 Y1) & 89.58/12.11 (( 89.58/12.11 (Y4) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y6 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.11 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl840])). 89.58/12.11 thf(zip_derived_cl853, plain, 89.58/12.11 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ Y1) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (Y0))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = (Y1))) => 89.58/12.11 (subset @ Y1 @ Y0))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (binintersect @ Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ Y1)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 Y0) & (in @ 89.58/12.11 Y2 @ Y1)))))))) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (binintersect @ Y0 @ Y1) @ Y1))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y1 @ Y0) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = 89.58/12.11 (Y1))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = 89.58/12.11 (Y0))) => 89.58/12.11 (subset @ Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((binintersect @ 89.58/12.11 Y0 @ 89.58/12.11 (binunion @ 89.58/12.11 Y1 @ Y2)) = 89.58/12.11 (binunion @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y2))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ 89.58/12.11 Y0)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ 89.58/12.11 Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ 89.58/12.11 Y1) => 89.58/12.11 (((setminus @ Y0 @ 89.58/12.11 Y1) = (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y0)))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y0))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ 89.58/12.11 Y1) = 89.58/12.11 (emptyset))) => 89.58/12.11 (subset @ 89.58/12.11 Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $o]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (Y3))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (Y3))))) => 89.58/12.11 (Y3))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y0 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 Y0))))))))) => 89.58/12.11 (((( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 Y0)))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y1))) | 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y0)))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 dsetconstr @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))) @ 89.58/12.11 ( 89.58/12.11 ^[Y4 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y5 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y5 @ 89.58/12.11 Y0) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y6 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y6 @ 89.58/12.11 Y1) & 89.58/12.11 (( 89.58/12.11 (Y4) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y6 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.11 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl846])). 89.58/12.11 thf(zip_derived_cl863, plain, 89.58/12.11 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = (Y1))) => 89.58/12.11 (subset @ Y1 @ Y0))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (binintersect @ Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ Y1)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ Y0) & 89.58/12.11 (in @ Y2 @ Y1)))))))) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ (binintersect @ Y0 @ Y1) @ 89.58/12.11 Y1))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y1 @ Y0) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = 89.58/12.11 (Y0))) => 89.58/12.11 (subset @ Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((binintersect @ 89.58/12.11 Y0 @ 89.58/12.11 (binunion @ Y1 @ 89.58/12.11 Y2)) = 89.58/12.11 (binunion @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y2))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ Y1))) => 89.58/12.11 (in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ Y0)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ Y1) => 89.58/12.11 (((setminus @ Y0 @ 89.58/12.11 Y1) = (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0)))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y0))) => 89.58/12.11 (((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((( 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1) = 89.58/12.11 (emptyset))) => 89.58/12.11 (subset @ 89.58/12.11 Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $o]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (Y3))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (Y3))))) => 89.58/12.11 (Y3))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y0 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 Y0))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 Y0)))))))))) => 89.58/12.11 (((( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y1))) | 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y0)))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 dsetconstr @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))) @ 89.58/12.11 ( 89.58/12.11 ^[Y4 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y5 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y5 @ 89.58/12.11 Y0) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y6 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y6 @ 89.58/12.11 Y1) & 89.58/12.11 (( 89.58/12.11 (Y4) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y6 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.11 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl853])). 89.58/12.11 thf(zip_derived_cl872, plain, 89.58/12.11 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (binintersect @ Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ Y1)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ Y0) & 89.58/12.11 (in @ Y2 @ Y1)))))))) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ (binintersect @ Y0 @ Y1) @ Y1))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y1 @ Y0) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = (Y0))) => 89.58/12.11 (subset @ Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((binintersect @ 89.58/12.11 Y0 @ 89.58/12.11 (binunion @ Y1 @ Y2)) = 89.58/12.11 (binunion @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 (binintersect @ 89.58/12.11 Y0 @ Y2))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ Y0) => 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ Y1))) => 89.58/12.11 (in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ Y0)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (((~) @ ( 89.58/12.11 in @ Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ Y1) => 89.58/12.11 (((setminus @ Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0)))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1) @ 89.58/12.11 Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((setminus @ 89.58/12.11 Y0 @ Y1) = 89.58/12.11 (emptyset))) => 89.58/12.11 (subset @ 89.58/12.11 Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $o]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (Y3))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (Y3))))) => 89.58/12.11 (Y3))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y0 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 Y0))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 Y0)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))) => 89.58/12.11 (((( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y1))) | 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y0)))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 dsetconstr @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))) @ 89.58/12.11 ( 89.58/12.11 ^[Y4 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y5 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y5 @ 89.58/12.11 Y0) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y6 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y6 @ 89.58/12.11 Y1) & 89.58/12.11 (( 89.58/12.11 (Y4) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y6 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.11 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl863])). 89.58/12.11 thf(zip_derived_cl877, plain, 89.58/12.11 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((~) @ (((??) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ Y0) & 89.58/12.11 (in @ Y2 @ Y1)))))))) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ (binintersect @ Y0 @ Y1) @ Y1))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y1 @ Y0) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = (Y0))) => 89.58/12.11 (subset @ Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((binintersect @ Y0 @ 89.58/12.11 (binunion @ Y1 @ Y2)) = 89.58/12.11 (binunion @ 89.58/12.11 (binintersect @ Y0 @ 89.58/12.11 Y1) @ 89.58/12.11 (binintersect @ Y0 @ 89.58/12.11 Y2))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ Y0) => 89.58/12.11 (((((~) @ (in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ Y2 @ 89.58/12.11 (setminus @ Y0 @ 89.58/12.11 Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ Y0 @ 89.58/12.11 Y1)) => 89.58/12.11 (in @ Y2 @ Y0)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (((~) @ ( 89.58/12.11 in @ Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ Y1) => 89.58/12.11 (((setminus @ Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (((in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y0)))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (setminus @ Y0 @ 89.58/12.11 Y1) @ 89.58/12.11 Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((setminus @ 89.58/12.11 Y0 @ Y1) = 89.58/12.11 (emptyset))) => 89.58/12.11 (subset @ 89.58/12.11 Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $o]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (Y3))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (Y3))))) => 89.58/12.11 (Y3))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ Y1 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 (setadjoin @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))) & 89.58/12.11 (( 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 Y0))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 Y0)))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y1))) | 89.58/12.11 (( 89.58/12.11 (Y2) = 89.58/12.11 (Y0)))))))))))))))) => 89.58/12.11 (((( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (subset @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1)))))))))))))))))))) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y0 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y3 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y3 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)) @ 89.58/12.11 ( 89.58/12.11 dsetconstr @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 powerset @ 89.58/12.11 ( 89.58/12.11 binunion @ 89.58/12.11 Y0 @ Y1))) @ 89.58/12.11 ( 89.58/12.11 ^[Y4 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y5 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y5 @ 89.58/12.11 Y0) & 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y6 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y6 @ 89.58/12.11 Y1) & 89.58/12.11 (( 89.58/12.11 (Y4) = 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y5 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y6 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.11 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl872])). 89.58/12.11 thf(zip_derived_cl882, plain, 89.58/12.11 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ (binintersect @ Y0 @ Y1) @ Y1))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y1 @ Y0) => 89.58/12.11 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((binintersect @ Y0 @ Y1) = (Y0))) => 89.58/12.11 (subset @ Y0 @ Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((binintersect @ Y0 @ 89.58/12.11 (binunion @ Y1 @ Y2)) = 89.58/12.11 (binunion @ 89.58/12.11 (binintersect @ Y0 @ Y1) @ 89.58/12.11 (binintersect @ Y0 @ Y2))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ Y0) => 89.58/12.11 (((((~) @ (in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (in @ Y2 @ 89.58/12.11 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ Y0 @ Y1)) => 89.58/12.11 (in @ Y2 @ Y0)))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((in @ Y2 @ 89.58/12.11 (setminus @ Y0 @ 89.58/12.11 Y1)) => 89.58/12.11 (((~) @ (in @ 89.58/12.11 Y2 @ Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((subset @ Y0 @ Y1) => 89.58/12.11 (((setminus @ Y0 @ Y1) = 89.58/12.11 (emptyset))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (((in @ Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (in @ Y2 @ 89.58/12.11 Y1)))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((((~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1)))) => 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y0)))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (((( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 Y0))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ Y2 @ 89.58/12.11 (setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ (^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setminus @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (subset @ 89.58/12.11 (setminus @ Y0 @ Y1) @ 89.58/12.11 Y0))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((((setminus @ 89.58/12.11 Y0 @ Y1) = 89.58/12.11 (emptyset))) => 89.58/12.11 (subset @ Y0 @ 89.58/12.11 Y1))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (((in @ 89.58/12.11 Y2 @ 89.58/12.11 (symdiff @ 89.58/12.11 Y0 @ Y1)) => 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y3 : $o]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (Y3))))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (Y3))))) => 89.58/12.11 (Y3))))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y0) => 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 Y1) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ (^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (!!) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y0))) => 89.58/12.11 (( 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ Y1))) => 89.58/12.11 (( 89.58/12.11 (~) @ ( 89.58/12.11 in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 symdiff @ 89.58/12.11 Y0 @ Y1))))))))))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ Y1 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 (setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ Y0 @ 89.58/12.11 (setunion @ 89.58/12.11 (setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (in @ 89.58/12.11 Y1 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.11 emptyset)))))))))) => 89.58/12.11 (((((!!) @ (^[Y0 : $i]: 89.58/12.11 (((!!) @ ( 89.58/12.11 ^[Y1 : $i]: 89.58/12.11 (( 89.58/12.11 (??) @ ( 89.58/12.11 ^[Y2 : $i]: 89.58/12.11 (( 89.58/12.11 (in @ 89.58/12.11 Y2 @ 89.58/12.11 ( 89.58/12.11 setunion @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 emptyset) @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y0 @ 89.58/12.11 ( 89.58/12.11 setadjoin @ 89.58/12.11 Y1 @ 89.58/12.11 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 dsetconstr @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))) @ 89.58/12.12 ( 89.58/12.12 ^[Y4 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y5 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y5 @ 89.58/12.12 Y0) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y6 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y6 @ 89.58/12.12 Y1) & 89.58/12.12 (( 89.58/12.12 (Y4) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y6 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.12 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl877])). 89.58/12.12 thf(zip_derived_cl888, plain, 89.58/12.12 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y1 @ Y0) => 89.58/12.12 (((binintersect @ Y0 @ Y1) = (Y1))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((binintersect @ Y0 @ Y1) = (Y0))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((binintersect @ Y0 @ 89.58/12.12 (binunion @ Y1 @ Y2)) = 89.58/12.12 (binunion @ 89.58/12.12 (binintersect @ Y0 @ Y1) @ 89.58/12.12 (binintersect @ Y0 @ Y2))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ Y0) => 89.58/12.12 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.12 (in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (in @ Y2 @ Y0)))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (((~) @ (in @ Y2 @ 89.58/12.12 Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y0 @ Y1) => 89.58/12.12 (((setminus @ Y0 @ Y1) = 89.58/12.12 (emptyset))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y0) => (in @ 89.58/12.12 Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (subset @ 89.58/12.12 (setminus @ Y0 @ Y1) @ 89.58/12.12 Y0))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((setminus @ 89.58/12.12 Y0 @ Y1) = 89.58/12.12 (emptyset))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1)) => 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y3 : $o]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (Y3))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (Y3))))) => 89.58/12.12 (Y3))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (in @ Y0 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 dsetconstr @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))) @ 89.58/12.12 ( 89.58/12.12 ^[Y4 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y5 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y5 @ 89.58/12.12 Y0) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y6 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y6 @ 89.58/12.12 Y1) & 89.58/12.12 (( 89.58/12.12 (Y4) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y6 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.12 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl882])). 89.58/12.12 thf(zip_derived_cl894, plain, 89.58/12.12 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((binintersect @ Y0 @ Y1) = (Y0))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((binintersect @ Y0 @ 89.58/12.12 (binunion @ Y1 @ Y2)) = 89.58/12.12 (binunion @ 89.58/12.12 (binintersect @ Y0 @ Y1) @ 89.58/12.12 (binintersect @ Y0 @ Y2))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ Y0) => 89.58/12.12 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.12 (in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (in @ Y2 @ Y0)))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (((~) @ (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y0 @ Y1) => 89.58/12.12 (((setminus @ Y0 @ Y1) = 89.58/12.12 (emptyset))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y0) => (in @ 89.58/12.12 Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ Y1))) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ Y0))) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (subset @ 89.58/12.12 (setminus @ Y0 @ Y1) @ 89.58/12.12 Y0))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((setminus @ Y0 @ 89.58/12.12 Y1) = (emptyset))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1)) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $o]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (Y3))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (Y3))))) => 89.58/12.12 (Y3))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (((( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ 89.58/12.12 Y0 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 dsetconstr @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))) @ 89.58/12.12 ( 89.58/12.12 ^[Y4 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y5 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y5 @ 89.58/12.12 Y0) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y6 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y6 @ 89.58/12.12 Y1) & 89.58/12.12 (( 89.58/12.12 (Y4) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y6 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.12 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl888])). 89.58/12.12 thf(zip_derived_cl899, plain, 89.58/12.12 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((binintersect @ Y0 @ 89.58/12.12 (binunion @ Y1 @ Y2)) = 89.58/12.12 (binunion @ 89.58/12.12 (binintersect @ Y0 @ Y1) @ 89.58/12.12 (binintersect @ Y0 @ Y2))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ Y0) => 89.58/12.12 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.12 (in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (in @ Y2 @ Y0)))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (((~) @ (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y0 @ Y1) => 89.58/12.12 (((setminus @ Y0 @ Y1) = 89.58/12.12 (emptyset))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((in @ Y2 @ Y0) => 89.58/12.12 (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ Y1))) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ Y0))) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (subset @ 89.58/12.12 (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((setminus @ Y0 @ 89.58/12.12 Y1) = (emptyset))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1)) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $o]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (Y3))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (Y3))))) => 89.58/12.12 (Y3))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 dsetconstr @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))) @ 89.58/12.12 ( 89.58/12.12 ^[Y4 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y5 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y5 @ 89.58/12.12 Y0) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y6 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y6 @ 89.58/12.12 Y1) & 89.58/12.12 (( 89.58/12.12 (Y4) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y6 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.12 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl894])). 89.58/12.12 thf(zip_derived_cl905, plain, 89.58/12.12 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ Y0) => 89.58/12.12 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.12 (in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (in @ Y2 @ Y0)))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (((~) @ (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y0 @ Y1) => 89.58/12.12 (((setminus @ Y0 @ Y1) = (emptyset))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((in @ Y2 @ Y0) => 89.58/12.12 (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((((~) @ (in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (((~) @ (in @ 89.58/12.12 Y2 @ Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (((~) @ (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (subset @ 89.58/12.12 (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((setminus @ Y0 @ Y1) = 89.58/12.12 (emptyset))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1)) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $o]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (Y3))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (Y3))))) => 89.58/12.12 (Y3))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y0 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 dsetconstr @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))) @ 89.58/12.12 ( 89.58/12.12 ^[Y4 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y5 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y5 @ 89.58/12.12 Y0) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y6 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y6 @ 89.58/12.12 Y1) & 89.58/12.12 (( 89.58/12.12 (Y4) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y6 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.12 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl899])). 89.58/12.12 thf(zip_derived_cl910, plain, 89.58/12.12 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (in @ Y2 @ Y0)))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (((~) @ (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y0 @ Y1) => 89.58/12.12 (((setminus @ Y0 @ Y1) = (emptyset))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((in @ Y2 @ Y0) => 89.58/12.12 (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (((~) @ (in @ Y2 @ 89.58/12.12 Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ Y1) => 89.58/12.12 (((~) @ (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (subset @ 89.58/12.12 (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((setminus @ Y0 @ Y1) = 89.58/12.12 (emptyset))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1)) => 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y3 : $o]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (Y3))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (Y3))))) => 89.58/12.12 (Y3))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (((( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ emptyset))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y0 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((in @ Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 (powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 dsetconstr @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))) @ 89.58/12.12 ( 89.58/12.12 ^[Y4 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y5 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y5 @ 89.58/12.12 Y0) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y6 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y6 @ 89.58/12.12 Y1) & 89.58/12.12 (( 89.58/12.12 (Y4) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y6 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.12 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl905])). 89.58/12.12 thf(zip_derived_cl916, plain, 89.58/12.12 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)) => 89.58/12.12 (((~) @ (in @ Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y0 @ Y1) => 89.58/12.12 (((setminus @ Y0 @ Y1) = (emptyset))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ 89.58/12.12 Y1)))) => 89.58/12.12 (((in @ Y2 @ Y0) => (in @ 89.58/12.12 Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1)))) => 89.58/12.12 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.12 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.12 (((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ Y1) => 89.58/12.12 (((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (subset @ 89.58/12.12 (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((setminus @ Y0 @ Y1) = 89.58/12.12 (emptyset))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1)) => 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y3 : $o]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (Y3))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (Y3))))) => 89.58/12.12 (Y3))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (((( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ emptyset))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y0 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((in @ Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 (powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 dsetconstr @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))) @ 89.58/12.12 ( 89.58/12.12 ^[Y4 : $i]: 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y5 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y5 @ 89.58/12.12 Y0) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y6 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y6 @ 89.58/12.12 Y1) & 89.58/12.12 (( 89.58/12.12 (Y4) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y5 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y6 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.12 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl910])). 89.58/12.12 thf(zip_derived_cl922, plain, 89.58/12.12 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((subset @ Y0 @ Y1) => 89.58/12.12 (((setminus @ Y0 @ Y1) = (emptyset))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ Y1)))) => 89.58/12.12 (((in @ Y2 @ Y0) => (in @ 89.58/12.12 Y2 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ Y0 @ 89.58/12.12 Y1)))) => 89.58/12.12 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.12 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.12 (((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ Y1) => 89.58/12.12 (((~) @ (in @ Y2 @ 89.58/12.12 (setminus @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (subset @ (setminus @ Y0 @ Y1) @ 89.58/12.12 Y0))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((((setminus @ Y0 @ Y1) = 89.58/12.12 (emptyset))) => 89.58/12.12 (subset @ Y0 @ Y1))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 (symdiff @ Y0 @ 89.58/12.12 Y1)) => 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y3 : $o]: 89.58/12.12 (((( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (Y3))))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (Y3))))) => 89.58/12.12 (Y3))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y1))) => 89.58/12.12 (in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((((~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 Y0))) => 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (((in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y1) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ Y2 @ 89.58/12.12 (symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((!!) @ (^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y0))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ Y1))) => 89.58/12.12 (( 89.58/12.12 (~) @ ( 89.58/12.12 in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 symdiff @ 89.58/12.12 Y0 @ Y1))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setadjoin @ Y0 @ 89.58/12.12 (setadjoin @ Y1 @ 89.58/12.12 emptyset))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y0 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (in @ Y1 @ 89.58/12.12 (setunion @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 (setadjoin @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 (setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (((??) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (??) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 ( 89.58/12.12 setunion @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))) & 89.58/12.12 (( 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) = 89.58/12.12 (setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 Y0))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ (^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y1 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 Y0)))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y0 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y1 @ 89.58/12.12 emptyset))) => 89.58/12.12 (( 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y1))) | 89.58/12.12 (( 89.58/12.12 (Y2) = 89.58/12.12 (Y0)))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (subset @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1))))))))))))))))))) => 89.58/12.12 (((((!!) @ (^[Y0 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.12 binunion @ 89.58/12.12 Y0 @ Y1)))))))))))))))))))) => 89.58/12.12 (((((!!) @ ( 89.58/12.12 ^[Y0 : $i]: 89.58/12.12 (((!!) @ ( 89.58/12.12 ^[Y1 : $i]: 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y2 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y2 @ 89.58/12.12 Y0) => 89.58/12.12 (( 89.58/12.12 (!!) @ ( 89.58/12.12 ^[Y3 : $i]: 89.58/12.12 (( 89.58/12.12 (in @ 89.58/12.12 Y3 @ 89.58/12.12 Y1) => 89.58/12.12 (in @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 emptyset) @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y2 @ 89.58/12.12 ( 89.58/12.12 setadjoin @ 89.58/12.12 Y3 @ 89.58/12.12 emptyset)) @ 89.58/12.12 emptyset)) @ 89.58/12.12 ( 89.58/12.12 powerset @ 89.58/12.12 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl916])). 89.58/12.13 thf(zip_derived_cl928, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ Y1)))) => 89.58/12.13 (((in @ Y2 @ Y0) => (in @ 89.58/12.13 Y2 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ Y1)))) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ 89.58/12.13 Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ 89.58/12.13 Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (subset @ (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((((setminus @ Y0 @ Y1) = 89.58/12.13 (emptyset))) => 89.58/12.13 (subset @ Y0 @ Y1))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1)) => 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y3 : $o]: 89.58/12.13 (((((in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (Y3))))) => 89.58/12.13 (((( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (Y3))))) => 89.58/12.13 (Y3))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y1 @ 89.58/12.13 Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y1 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl922])). 89.58/12.13 thf(zip_derived_cl934, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ Y1)))) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (((~) @ (in @ Y2 @ Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ 89.58/12.13 Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (subset @ (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((((setminus @ Y0 @ Y1) = 89.58/12.13 (emptyset))) => 89.58/12.13 (subset @ Y0 @ Y1))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1)) => 89.58/12.13 (((!!) @ (^[Y3 : $o]: 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ 89.58/12.13 Y2 @ Y1))) => 89.58/12.13 (Y3))))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ 89.58/12.13 Y2 @ Y0))) => 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (Y3))))) => 89.58/12.13 (Y3))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ 89.58/12.13 Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y1) => (in @ 89.58/12.13 Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (((( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ 89.58/12.13 Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y1 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 (powerset @ 89.58/12.13 Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl928])). 89.58/12.13 thf(zip_derived_cl940, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (subset @ (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((((setminus @ Y0 @ Y1) = (emptyset))) => 89.58/12.13 (subset @ Y0 @ Y1))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1)) => 89.58/12.13 (((!!) @ (^[Y3 : $o]: 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ 89.58/12.13 Y2 @ Y1))) => 89.58/12.13 (Y3))))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ 89.58/12.13 Y2 @ Y0))) => 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (Y3))))) => 89.58/12.13 (Y3))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((((~) @ (in @ 89.58/12.13 Y2 @ Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ 89.58/12.13 Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y1) => (in @ 89.58/12.13 Y2 @ 89.58/12.13 (symdiff @ Y0 @ 89.58/12.13 Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y0))) => 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ 89.58/12.13 Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 (powerset @ 89.58/12.13 Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl934])). 89.58/12.13 thf(zip_derived_cl946, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (setminus @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (subset @ (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((((setminus @ Y0 @ Y1) = (emptyset))) => 89.58/12.13 (subset @ Y0 @ Y1))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1)) => 89.58/12.13 (((!!) @ (^[Y3 : $o]: 89.58/12.13 (((( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (Y3))))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (Y3))))) => 89.58/12.13 (Y3))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((((~) @ (in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y0))) => 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y1))) => 89.58/12.13 (((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ 89.58/12.13 Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ 89.58/12.13 Y0) => (in @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset) @ 89.58/12.13 (powerset @ Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl940])). 89.58/12.13 thf(zip_derived_cl952, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (subset @ (setminus @ Y0 @ Y1) @ Y0))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((((setminus @ Y0 @ Y1) = (emptyset))) => 89.58/12.13 (subset @ Y0 @ Y1))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1)) => 89.58/12.13 (((!!) @ (^[Y3 : $o]: 89.58/12.13 (((((in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (Y3))))) => 89.58/12.13 (((( 89.58/12.13 (( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (Y3))))) => 89.58/12.13 (Y3))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ 89.58/12.13 Y2 @ Y0))) => 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ Y1))) => 89.58/12.13 (((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ 89.58/12.13 Y0) => (in @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ emptyset) @ 89.58/12.13 (powerset @ Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 (powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl946])). 89.58/12.13 thf(zip_derived_cl958, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((((setminus @ Y0 @ Y1) = (emptyset))) => 89.58/12.13 (subset @ Y0 @ Y1))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1)) => 89.58/12.13 (((!!) @ (^[Y3 : $o]: 89.58/12.13 (((((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (((( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (Y3))))) => 89.58/12.13 (((((( 89.58/12.13 (~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (Y3))))) => 89.58/12.13 (Y3))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (((((~) @ (in @ 89.58/12.13 Y2 @ Y1))) => 89.58/12.13 (((~) @ (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ Y0) => 89.58/12.13 (in @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 (powerset @ Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 (powerset @ 89.58/12.13 (binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl952])). 89.58/12.13 thf(zip_derived_cl965, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1)) => 89.58/12.13 (((!!) @ (^[Y3 : $o]: 89.58/12.13 (((((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (((((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (Y3))))) => 89.58/12.13 (((((((~) @ ( 89.58/12.13 in @ Y2 @ 89.58/12.13 Y0))) => 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 Y1) => 89.58/12.13 (Y3))))) => 89.58/12.13 (Y3))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ Y1) => (in @ 89.58/12.13 Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((((~) @ (in @ Y2 @ 89.58/12.13 Y1))) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ Y0) => 89.58/12.13 (in @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 (powerset @ Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (((( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl958])). 89.58/12.13 thf(zip_derived_cl972, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ Y1) => (in @ 89.58/12.13 Y2 @ (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y3 @ 89.58/12.13 (setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((??) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 (setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (((??) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 ( 89.58/12.13 setunion @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))) & 89.58/12.13 (( 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ Y0) => 89.58/12.13 (subset @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 Y0))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((in @ Y1 @ Y0) => 89.58/12.13 (in @ 89.58/12.13 (setadjoin @ Y1 @ 89.58/12.13 emptyset) @ 89.58/12.13 (powerset @ Y0)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y0 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y1 @ 89.58/12.13 emptyset))) => 89.58/12.13 (( 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y1))) | 89.58/12.13 (( 89.58/12.13 (Y2) = 89.58/12.13 (Y0)))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (((in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (subset @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1)))))))))))))))))))) => 89.58/12.13 (((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y2 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y2 @ 89.58/12.13 Y0) => 89.58/12.13 (( 89.58/12.13 (!!) @ ( 89.58/12.13 ^[Y3 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y3 @ 89.58/12.13 Y1) => 89.58/12.13 (in @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y2 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y3 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)) @ 89.58/12.13 ( 89.58/12.13 dsetconstr @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 powerset @ 89.58/12.13 ( 89.58/12.13 binunion @ 89.58/12.13 Y0 @ Y1))) @ 89.58/12.13 ( 89.58/12.13 ^[Y4 : $i]: 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y5 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y5 @ 89.58/12.13 Y0) & 89.58/12.13 (( 89.58/12.13 (??) @ ( 89.58/12.13 ^[Y6 : $i]: 89.58/12.13 (( 89.58/12.13 (in @ 89.58/12.13 Y6 @ 89.58/12.13 Y1) & 89.58/12.13 (( 89.58/12.13 (Y4) = 89.58/12.13 (setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 emptyset) @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y5 @ 89.58/12.13 ( 89.58/12.13 setadjoin @ 89.58/12.13 Y6 @ 89.58/12.13 emptyset)) @ 89.58/12.13 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.58/12.13 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl965])). 89.58/12.13 thf(zip_derived_cl977, plain, 89.58/12.13 (~ (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((in @ Y2 @ Y1) => (in @ 89.58/12.13 Y2 @ (symdiff @ Y0 @ Y1))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((in @ Y2 @ Y0) => 89.58/12.13 (((in @ Y2 @ Y1) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (symdiff @ Y0 @ 89.58/12.13 Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (((!!) @ (^[Y2 : $i]: 89.58/12.13 (((((~) @ (in @ Y2 @ Y0))) => 89.58/12.13 (((((~) @ (in @ Y2 @ Y1))) => 89.58/12.13 (((~) @ (in @ Y2 @ 89.58/12.13 (symdiff @ 89.58/12.13 Y0 @ Y1))))))))))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y0 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ emptyset) @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ 89.58/12.13 (setadjoin @ Y1 @ emptyset)) @ 89.58/12.13 emptyset)))))))))) => 89.58/12.13 (((((!!) @ (^[Y0 : $i]: 89.58/12.13 (((!!) @ (^[Y1 : $i]: 89.58/12.13 (in @ Y1 @ 89.58/12.13 (setunion @ 89.58/12.13 (setadjoin @ 89.58/12.13 (setadjoin @ Y0 @ emptyset) @ 89.99/12.13 (setadjoin @ 89.99/12.13 (setadjoin @ Y0 @ 89.99/12.13 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.13 emptyset)))))))))) => 89.99/12.13 (((((!!) @ (^[Y0 : $i]: 89.99/12.13 (((!!) @ (^[Y1 : $i]: 89.99/12.13 (((??) @ (^[Y2 : $i]: 89.99/12.13 (((in @ Y2 @ 89.99/12.13 (setunion @ 89.99/12.13 (setadjoin @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y0 @ emptyset) @ 89.99/12.13 (setadjoin @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y1 @ emptyset)) @ 89.99/12.13 emptyset)))) & 89.99/12.13 (((??) @ ( 89.99/12.13 ^[Y3 : $i]: 89.99/12.13 (((in @ Y3 @ 89.99/12.13 (setunion @ 89.99/12.13 (setadjoin @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 emptyset) @ 89.99/12.13 (setadjoin @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y1 @ 89.99/12.13 emptyset)) @ 89.99/12.13 emptyset)))) & 89.99/12.13 (((setadjoin @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 emptyset) @ 89.99/12.13 (setadjoin @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y1 @ 89.99/12.13 emptyset)) @ 89.99/12.13 emptyset)) = 89.99/12.13 (setadjoin @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y2 @ 89.99/12.13 emptyset) @ 89.99/12.13 (setadjoin @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y2 @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y3 @ 89.99/12.13 emptyset)) @ 89.99/12.13 emptyset)))))))))))))))))))) => 89.99/12.13 (((((!!) @ (^[Y0 : $i]: 89.99/12.13 (((!!) @ (^[Y1 : $i]: 89.99/12.13 (((??) @ (^[Y2 : $i]: 89.99/12.13 (((in @ Y2 @ 89.99/12.13 (setunion @ 89.99/12.13 (setadjoin @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y0 @ emptyset) @ 89.99/12.13 (setadjoin @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 (setadjoin @ 89.99/12.13 Y1 @ 89.99/12.13 emptyset)) @ 89.99/12.13 emptyset)))) & 89.99/12.13 (((??) @ ( 89.99/12.13 ^[Y3 : $i]: 89.99/12.13 (((in @ 89.99/12.13 Y3 @ 89.99/12.13 (setunion @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 emptyset) @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y0 @ 89.99/12.13 ( 89.99/12.13 setadjoin @ 89.99/12.13 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (( 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (( 89.99/12.14 (( 89.99/12.14 (Y2) = 89.99/12.14 (Y1))) | 89.99/12.14 (( 89.99/12.14 (Y2) = 89.99/12.14 (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl972])). 89.99/12.14 thf(zip_derived_cl982, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((in @ Y2 @ Y1) => 89.99/12.14 (((~) @ (in @ Y2 @ 89.99/12.14 (symdiff @ Y0 @ Y1))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((((~) @ (in @ Y2 @ Y0))) => 89.99/12.14 (((((~) @ (in @ Y2 @ Y1))) => 89.99/12.14 (((~) @ (in @ Y2 @ 89.99/12.14 (symdiff @ Y0 @ 89.99/12.14 Y1))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y0 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 ( 89.99/12.14 setunion @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (( 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (( 89.99/12.14 (( 89.99/12.14 (Y2) = 89.99/12.14 (Y1))) | 89.99/12.14 (( 89.99/12.14 (Y2) = 89.99/12.14 (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl977])). 89.99/12.14 thf(zip_derived_cl988, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((((~) @ (in @ Y2 @ Y0))) => 89.99/12.14 (((((~) @ (in @ Y2 @ Y1))) => 89.99/12.14 (((~) @ (in @ Y2 @ 89.99/12.14 (symdiff @ Y0 @ Y1))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y0 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 ( 89.99/12.14 setunion @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (( 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 ( 89.99/12.14 setunion @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (( 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (((( 89.99/12.14 (Y2) = 89.99/12.14 (Y1))) | 89.99/12.14 (( 89.99/12.14 (Y2) = 89.99/12.14 (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl982])). 89.99/12.14 thf(zip_derived_cl994, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y0 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (( 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 ( 89.99/12.14 setunion @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (( 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (((((Y2) = 89.99/12.14 (Y1))) | 89.99/12.14 (((Y2) = 89.99/12.14 (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl988])). 89.99/12.14 thf(zip_derived_cl1001, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y0 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (( 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ Y0 @ 89.99/12.14 Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl994])). 89.99/12.14 thf(zip_derived_cl1009, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (in @ Y1 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1001])). 89.99/12.14 thf(zip_derived_cl1018, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (( 89.99/12.14 (!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1009])). 89.99/12.14 thf(zip_derived_cl1029, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 (setunion @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))) & 89.99/12.14 (((setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y0 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y1 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1018])). 89.99/12.14 thf(zip_derived_cl1040, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (subset @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ Y0))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y2 @ emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1029])). 89.99/12.14 thf(zip_derived_cl1048, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (powerset @ Y0)))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y2 @ emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1040])). 89.99/12.14 thf(zip_derived_cl1055, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => (in @ 89.99/12.14 (setadjoin @ Y2 @ emptyset) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ Y0 @ Y1)))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ ( 89.99/12.14 ^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 (^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1048])). 89.99/12.14 thf(zip_derived_cl1062, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset))) => 89.99/12.14 (((((Y2) = (Y1))) | 89.99/12.14 (((Y2) = (Y0)))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1055])). 89.99/12.14 thf(zip_derived_cl1070, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ emptyset)) @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 ( 89.99/12.14 dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1062])). 89.99/12.14 thf(zip_derived_cl1078, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 ( 89.99/12.14 ^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1070])). 89.99/12.14 thf(zip_derived_cl1086, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (subset @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 ( 89.99/12.14 binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 (^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1078])). 89.99/12.14 thf(zip_derived_cl1093, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 (^[Y4 : $i]: 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1086])). 89.99/12.14 thf(zip_derived_cl1099, plain, 89.99/12.14 (~ (((((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1)))))))))))))))))))) => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ 89.99/12.14 Y1) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 (^[Y4 : $i]: 89.99/12.14 (((??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1093])). 89.99/12.14 thf(zip_derived_cl1106, plain, 89.99/12.14 (~ (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => 89.99/12.14 (((!!) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ Y1) => 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y2 @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ 89.99/12.14 Y0 @ Y1))) @ 89.99/12.14 (^[Y4 : $i]: 89.99/12.14 (((??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (??) @ ( 89.99/12.14 ^[Y6 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y6 @ 89.99/12.14 Y1) & 89.99/12.14 (( 89.99/12.14 (Y4) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y6 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1099])). 89.99/12.14 thf(zip_derived_cl1113, plain, 89.99/12.14 (~ (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ '#sk959') => 89.99/12.14 (((!!) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ Y0) => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ '#sk959' @ Y0))) @ 89.99/12.14 (^[Y3 : $i]: 89.99/12.14 (((??) @ (^[Y4 : $i]: 89.99/12.14 (((in @ Y4 @ 89.99/12.14 '#sk959') & 89.99/12.14 (((??) @ ( 89.99/12.14 ^[Y5 : $i]: 89.99/12.14 (( 89.99/12.14 (in @ 89.99/12.14 Y5 @ 89.99/12.14 Y0) & 89.99/12.14 (( 89.99/12.14 (Y3) = 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y4 @ 89.99/12.14 emptyset) @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y4 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y5 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1106])). 89.99/12.14 thf(zip_derived_cl1119, plain, 89.99/12.14 (~ (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((in @ Y0 @ '#sk959') => 89.99/12.14 (((!!) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ '#sk960') => (in @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y0 @ 89.99/12.14 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ 89.99/12.14 (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y2 : $i]: 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y4 : $i]: 89.99/12.14 (((in @ 89.99/12.14 Y4 @ 89.99/12.14 '#sk960') & 89.99/12.14 (( 89.99/12.14 (Y2) = 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y3 @ 89.99/12.14 ( 89.99/12.14 setadjoin @ 89.99/12.14 Y4 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1113])). 89.99/12.14 thf(zip_derived_cl1124, plain, 89.99/12.14 (~ (((in @ '#sk961' @ '#sk959') => 89.99/12.14 (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((in @ Y0 @ '#sk960') => (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk960') & 89.99/12.14 (((Y1) = (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 (setadjoin @ Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1119])). 89.99/12.14 thf(zip_derived_cl1128, plain, ( (in @ '#sk961' @ '#sk959')), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1124])). 89.99/12.14 thf(zip_derived_cl1129, plain, 89.99/12.14 (~ (((!!) @ (^[Y0 : $i]: 89.99/12.14 (((in @ Y0 @ '#sk960') => (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ 89.99/12.14 (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk960') & 89.99/12.14 (((Y1) = (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 (setadjoin @ Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1124])). 89.99/12.14 thf(zip_derived_cl1132, plain, 89.99/12.14 (~ (((in @ 89.99/12.14 ('#sk331' @ '#sk960' @ 89.99/12.14 (^[Y0 : $i]: 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk960') & 89.99/12.14 (((Y1) = (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 (setadjoin @ Y3 @ emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))) @ 89.99/12.14 '#sk960') => (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ 89.99/12.14 (setadjoin @ 89.99/12.14 ('#sk331' @ '#sk960' @ 89.99/12.14 (^[Y0 : $i]: 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk960') & 89.99/12.14 (((Y1) = (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 (setadjoin @ Y3 @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))) @ 89.99/12.14 emptyset)) @ 89.99/12.14 emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y0 : $i]: 89.99/12.14 (((??) @ (^[Y1 : $i]: 89.99/12.14 (((in @ Y1 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk960') & 89.99/12.14 (((Y0) = (setadjoin @ 89.99/12.14 (setadjoin @ Y1 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y1 @ 89.99/12.14 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.14 emptyset)))))))))))))))))))), 89.99/12.14 inference('lazy_cnf_exists', [status(thm)], [zip_derived_cl1129])). 89.99/12.14 thf(zip_derived_cl1134, plain, 89.99/12.14 ( (in @ 89.99/12.14 ('#sk331' @ '#sk960' @ 89.99/12.14 (^[Y0 : $i]: 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk960') & 89.99/12.14 (((Y1) = (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 (setadjoin @ Y3 @ emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))) @ 89.99/12.14 '#sk960')), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1132])). 89.99/12.14 thf(zip_derived_cl1134, plain, 89.99/12.14 ( (in @ 89.99/12.14 ('#sk331' @ '#sk960' @ 89.99/12.14 (^[Y0 : $i]: 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk960') & 89.99/12.14 (((Y1) = (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 (setadjoin @ Y3 @ emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))) @ 89.99/12.14 '#sk960')), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1132])). 89.99/12.14 thf(zip_derived_cl5202, plain, 89.99/12.14 (![X2 : $i]: 89.99/12.14 (('#l_lift10508' @ X2) 89.99/12.14 = (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ X2 @ emptyset)) @ emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 '#l_lift10507')))), 89.99/12.14 define([status(thm)])). 89.99/12.14 thf(zip_derived_cl1134, plain, 89.99/12.14 ( (in @ 89.99/12.14 ('#sk331' @ '#sk960' @ 89.99/12.14 (^[Y0 : $i]: 89.99/12.14 (in @ 89.99/12.14 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ emptyset)) @ 89.99/12.14 (dsetconstr @ 89.99/12.14 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.14 (^[Y1 : $i]: 89.99/12.14 (((??) @ (^[Y2 : $i]: 89.99/12.14 (((in @ Y2 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y3 : $i]: 89.99/12.14 (((in @ Y3 @ '#sk960') & 89.99/12.14 (((Y1) = (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ emptyset) @ 89.99/12.14 (setadjoin @ 89.99/12.14 (setadjoin @ Y2 @ 89.99/12.14 (setadjoin @ Y3 @ emptyset)) @ 89.99/12.14 emptyset))))))))))))))))))) @ 89.99/12.14 '#sk960')), 89.99/12.14 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1132])). 89.99/12.14 thf(zip_derived_cl5201, plain, 89.99/12.14 (![X1 : $i]: 89.99/12.14 (('#l_lift10507' @ X1) 89.99/12.14 = (((??) @ (^[Y0 : $i]: 89.99/12.14 (((in @ Y0 @ '#sk959') & 89.99/12.14 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk960') & 89.99/12.15 (((X1) = (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))))), 89.99/12.15 define([status(thm)])). 89.99/12.15 thf(zip_derived_cl5203, plain, 89.99/12.15 ( (in @ ('#sk331' @ '#sk960' @ '#l_lift10508') @ '#sk960')), 89.99/12.15 inference('lambda_lifting', [status(thm)], 89.99/12.15 [zip_derived_cl1134, zip_derived_cl5202, zip_derived_cl5201])). 89.99/12.15 thf(zip_derived_cl1098, plain, 89.99/12.15 ( (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((!!) @ (^[Y1 : $i]: 89.99/12.15 (((!!) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ Y0) => 89.99/12.15 (((!!) @ (^[Y3 : $i]: 89.99/12.15 (((in @ Y3 @ Y1) => 89.99/12.15 (in @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y2 @ 89.99/12.15 emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ 89.99/12.15 Y2 @ 89.99/12.15 (setadjoin @ 89.99/12.15 Y3 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (powerset @ 89.99/12.15 (powerset @ 89.99/12.15 (binunion @ Y0 @ 89.99/12.15 Y1))))))))))))))))))))), 89.99/12.15 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1093])). 89.99/12.15 thf(zip_derived_cl1104, plain, 89.99/12.15 (![X2 : $i]: 89.99/12.15 (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((!!) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ X2) => 89.99/12.15 (((!!) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ Y0) => (in @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (powerset @ 89.99/12.15 (powerset @ 89.99/12.15 (binunion @ X2 @ Y0)))))))))))))))))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1098])). 89.99/12.15 thf(zip_derived_cl1111, plain, 89.99/12.15 (![X2 : $i, X4 : $i]: 89.99/12.15 (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ X2) => 89.99/12.15 (((!!) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ X4) => (in @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (powerset @ 89.99/12.15 (powerset @ (binunion @ X2 @ X4))))))))))))))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1104])). 89.99/12.15 thf(zip_derived_cl1117, plain, 89.99/12.15 (![X2 : $i, X4 : $i, X6 : $i]: 89.99/12.15 (((in @ X6 @ X2) => 89.99/12.15 (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ X4) => (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X6 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ X6 @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (powerset @ (powerset @ (binunion @ X2 @ X4)))))))))))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1111])). 89.99/12.15 thf(zip_derived_cl1122, plain, 89.99/12.15 (![X2 : $i, X4 : $i, X6 : $i]: 89.99/12.15 (~ (in @ X6 @ X2) 89.99/12.15 | (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ X4) => (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X6 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ X6 @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (powerset @ (powerset @ (binunion @ X2 @ X4))))))))))), 89.99/12.15 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1117])). 89.99/12.15 thf(zip_derived_cl1126, plain, 89.99/12.15 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 89.99/12.15 ( (((in @ X8 @ X4) => (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X6 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X6 @ (setadjoin @ X8 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (powerset @ (powerset @ (binunion @ X2 @ X4)))))) 89.99/12.15 | ~ (in @ X6 @ X2))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1122])). 89.99/12.15 thf(zip_derived_cl1130, plain, 89.99/12.15 (![X2 : $i, X4 : $i, X6 : $i, X8 : $i]: 89.99/12.15 (~ (in @ X8 @ X4) 89.99/12.15 | (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X6 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X6 @ (setadjoin @ X8 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (powerset @ (powerset @ (binunion @ X2 @ X4)))) 89.99/12.15 | ~ (in @ X6 @ X2))), 89.99/12.15 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1126])). 89.99/12.15 thf(zip_derived_cl1135, plain, 89.99/12.15 (~ (in @ 89.99/12.15 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ '#sk961' @ 89.99/12.15 (setadjoin @ 89.99/12.15 ('#sk331' @ '#sk960' @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (in @ 89.99/12.15 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ '#sk961' @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (dsetconstr @ 89.99/12.15 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.15 (^[Y1 : $i]: 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y3 : $i]: 89.99/12.15 (((in @ Y3 @ '#sk960') & 89.99/12.15 (((Y1) = (setadjoin @ 89.99/12.15 (setadjoin @ Y2 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y2 @ 89.99/12.15 (setadjoin @ Y3 @ 89.99/12.15 emptyset)) @ 89.99/12.15 emptyset))))))))))))))))))) @ 89.99/12.15 emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (dsetconstr @ 89.99/12.15 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))))))), 89.99/12.15 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl1132])). 89.99/12.15 thf(zip_derived_cl5202, plain, 89.99/12.15 (![X2 : $i]: 89.99/12.15 (('#l_lift10508' @ X2) 89.99/12.15 = (in @ 89.99/12.15 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ '#sk961' @ (setadjoin @ X2 @ emptyset)) @ emptyset)) @ 89.99/12.15 (dsetconstr @ 89.99/12.15 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.15 '#l_lift10507')))), 89.99/12.15 define([status(thm)])). 89.99/12.15 thf(zip_derived_cl5201, plain, 89.99/12.15 (![X1 : $i]: 89.99/12.15 (('#l_lift10507' @ X1) 89.99/12.15 = (((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk960') & 89.99/12.15 (((X1) = (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))))), 89.99/12.15 define([status(thm)])). 89.99/12.15 thf(zip_derived_cl5201, plain, 89.99/12.15 (![X1 : $i]: 89.99/12.15 (('#l_lift10507' @ X1) 89.99/12.15 = (((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk960') & 89.99/12.15 (((X1) = (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))))), 89.99/12.15 define([status(thm)])). 89.99/12.15 thf(zip_derived_cl5204, plain, 89.99/12.15 (~ (in @ 89.99/12.15 (setadjoin @ (setadjoin @ '#sk961' @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ '#sk961' @ 89.99/12.15 (setadjoin @ ('#sk331' @ '#sk960' @ '#l_lift10508') @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (dsetconstr @ 89.99/12.15 (powerset @ (powerset @ (binunion @ '#sk959' @ '#sk960'))) @ 89.99/12.15 '#l_lift10507'))), 89.99/12.15 inference('lambda_lifting', [status(thm)], 89.99/12.15 [zip_derived_cl1135, zip_derived_cl5202, zip_derived_cl5201, 89.99/12.15 zip_derived_cl5201])). 89.99/12.15 thf(zip_derived_cl62, plain, 89.99/12.15 ( (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((!!) @ (^[Y1 : $i > $o]: 89.99/12.15 (((!!) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ Y0) => 89.99/12.15 (((Y1 @ Y2) => (in @ Y2 @ 89.99/12.15 (dsetconstr @ Y0 @ Y1)))))))))))))))), 89.99/12.15 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl55])). 89.99/12.15 thf(zip_derived_cl75, plain, 89.99/12.15 (![X2 : $i]: 89.99/12.15 (((!!) @ (^[Y0 : $i > $o]: 89.99/12.15 (((!!) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ X2) => 89.99/12.15 (((Y0 @ Y1) => (in @ Y1 @ 89.99/12.15 (dsetconstr @ X2 @ Y0))))))))))))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl62])). 89.99/12.15 thf(zip_derived_cl90, plain, 89.99/12.15 (![X2 : $i, X4 : $i > $o]: 89.99/12.15 (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ X2) => 89.99/12.15 (((X4 @ Y0) => (in @ Y0 @ (dsetconstr @ X2 @ X4)))))))))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl75])). 89.99/12.15 thf(zip_derived_cl1573, plain, 89.99/12.15 (![X0 : $i]: 89.99/12.15 (((!!) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ X0) => 89.99/12.15 (((((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ 89.99/12.15 emptyset)) @ 89.99/12.15 emptyset)))))))))))))) => 89.99/12.15 (in @ Y0 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y1 : $i]: 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y3 : $i]: 89.99/12.15 (((in @ Y3 @ 89.99/12.15 '#sk960') & 89.99/12.15 (((Y1) = 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y2 @ 89.99/12.15 emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y2 @ 89.99/12.15 (setadjoin @ 89.99/12.15 Y3 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))))))))))), 89.99/12.15 inference('triggered_bool_instantiation', [status(thm)], 89.99/12.15 [zip_derived_cl90])). 89.99/12.15 thf(zip_derived_cl3096, plain, 89.99/12.15 (![X0 : $i, X2 : $i]: 89.99/12.15 (((in @ X2 @ X0) => 89.99/12.15 (((((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk960') & 89.99/12.15 (((X2) = (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))) => 89.99/12.15 (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))))))))))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl1573])). 89.99/12.15 thf(zip_derived_cl3097, plain, 89.99/12.15 (![X0 : $i, X2 : $i]: 89.99/12.15 (~ (in @ X2 @ X0) 89.99/12.15 | (((((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk960') & 89.99/12.15 (((X2) = (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))) => 89.99/12.15 (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))))))), 89.99/12.15 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3096])). 89.99/12.15 thf(zip_derived_cl3098, plain, 89.99/12.15 (![X0 : $i, X2 : $i]: 89.99/12.15 (~ (((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk960') & 89.99/12.15 (((X2) = (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))) 89.99/12.15 | (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))) 89.99/12.15 | ~ (in @ X2 @ X0))), 89.99/12.15 inference('lazy_cnf_imply', [status(thm)], [zip_derived_cl3097])). 89.99/12.15 thf(zip_derived_cl3099, plain, 89.99/12.15 (![X0 : $i, X2 : $i, X4 : $i]: 89.99/12.15 (~ (((in @ X4 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk960') & 89.99/12.15 (((X2) = (setadjoin @ 89.99/12.15 (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ X4 @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.15 emptyset))))))))))) 89.99/12.15 | ~ (in @ X2 @ X0) 89.99/12.15 | (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3098])). 89.99/12.15 thf(zip_derived_cl3100, plain, 89.99/12.15 (![X0 : $i, X2 : $i, X4 : $i]: 89.99/12.15 (~ (in @ X4 @ '#sk959') 89.99/12.15 | ~ (((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk960') & 89.99/12.15 (((X2) = (setadjoin @ 89.99/12.15 (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ X4 @ (setadjoin @ Y0 @ emptyset)) @ 89.99/12.15 emptyset))))))))) 89.99/12.15 | (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))) 89.99/12.15 | ~ (in @ X2 @ X0))), 89.99/12.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3099])). 89.99/12.15 thf(zip_derived_cl3101, plain, 89.99/12.15 (![X0 : $i, X2 : $i, X4 : $i, X6 : $i]: 89.99/12.15 (~ (((in @ X6 @ '#sk960') & 89.99/12.15 (((X2) = (setadjoin @ (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ (setadjoin @ X6 @ emptyset)) @ 89.99/12.15 emptyset)))))) 89.99/12.15 | ~ (in @ X2 @ X0) 89.99/12.15 | (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))) 89.99/12.15 | ~ (in @ X4 @ '#sk959'))), 89.99/12.15 inference('lazy_cnf_forall', [status(thm)], [zip_derived_cl3100])). 89.99/12.15 thf(zip_derived_cl3102, plain, 89.99/12.15 (![X0 : $i, X2 : $i, X4 : $i, X6 : $i]: 89.99/12.15 (~ (in @ X6 @ '#sk960') 89.99/12.15 | ~ (((X2) = (setadjoin @ (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ (setadjoin @ X6 @ emptyset)) @ 89.99/12.15 emptyset)))) 89.99/12.15 | ~ (in @ X4 @ '#sk959') 89.99/12.15 | (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))) 89.99/12.15 | ~ (in @ X2 @ X0))), 89.99/12.15 inference('lazy_cnf_and', [status(thm)], [zip_derived_cl3101])). 89.99/12.15 thf(zip_derived_cl3103, plain, 89.99/12.15 (![X0 : $i, X2 : $i, X4 : $i, X6 : $i]: 89.99/12.15 (~ (in @ X6 @ '#sk960') 89.99/12.15 | ((X2) 89.99/12.15 != (setadjoin @ (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ X4 @ (setadjoin @ X6 @ emptyset)) @ emptyset))) 89.99/12.15 | ~ (in @ X4 @ '#sk959') 89.99/12.15 | (in @ X2 @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))) 89.99/12.15 | ~ (in @ X2 @ X0))), 89.99/12.15 inference('simplify nested equalities', [status(thm)], 89.99/12.15 [zip_derived_cl3102])). 89.99/12.15 thf(zip_derived_cl3104, plain, 89.99/12.15 (![X0 : $i, X4 : $i, X6 : $i]: 89.99/12.15 (~ (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ (setadjoin @ X6 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 X0) 89.99/12.15 | (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ (setadjoin @ X6 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (dsetconstr @ X0 @ 89.99/12.15 (^[Y0 : $i]: 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y2 : $i]: 89.99/12.15 (((in @ Y2 @ '#sk960') & 89.99/12.15 (((Y0) = (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y1 @ 89.99/12.15 (setadjoin @ Y2 @ emptyset)) @ 89.99/12.15 emptyset))))))))))))))))) 89.99/12.15 | ~ (in @ X4 @ '#sk959') 89.99/12.15 | ~ (in @ X6 @ '#sk960'))), 89.99/12.15 inference('simplify', [status(thm)], [zip_derived_cl3103])). 89.99/12.15 thf(zip_derived_cl5201, plain, 89.99/12.15 (![X1 : $i]: 89.99/12.15 (('#l_lift10507' @ X1) 89.99/12.15 = (((??) @ (^[Y0 : $i]: 89.99/12.15 (((in @ Y0 @ '#sk959') & 89.99/12.15 (((??) @ (^[Y1 : $i]: 89.99/12.15 (((in @ Y1 @ '#sk960') & 89.99/12.15 (((X1) = (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ emptyset) @ 89.99/12.15 (setadjoin @ 89.99/12.15 (setadjoin @ Y0 @ 89.99/12.15 (setadjoin @ Y1 @ emptyset)) @ 89.99/12.15 emptyset)))))))))))))))), 89.99/12.15 define([status(thm)])). 89.99/12.15 thf(zip_derived_cl5312, plain, 89.99/12.15 (![X0 : $i, X4 : $i, X6 : $i]: 89.99/12.15 (~ (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ (setadjoin @ X6 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 X0) 89.99/12.15 | (in @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ emptyset) @ 89.99/12.15 (setadjoin @ (setadjoin @ X4 @ (setadjoin @ X6 @ emptyset)) @ 89.99/12.15 emptyset)) @ 89.99/12.15 (dsetconstr @ X0 @ '#l_lift10507')) 89.99/12.15 | ~ (in @ X4 @ '#sk959') 89.99/12.15 | ~ (in @ X6 @ '#sk960'))), 89.99/12.15 inference('lambda_lifting', [status(thm)], 89.99/12.15 [zip_derived_cl3104, zip_derived_cl5201])). 89.99/12.15 thf(zip_derived_cl5404, plain, ($false), 89.99/12.15 inference('eprover', [status(thm)], 89.99/12.15 [zip_derived_cl1128, zip_derived_cl5203, zip_derived_cl1130, 89.99/12.15 zip_derived_cl5204, zip_derived_cl5312])). 89.99/12.15 89.99/12.15 % SZS output end Refutation 89.99/12.15 89.99/12.15 89.99/12.15 % /export/starexec/sandbox2/solver/bin/lams/35_full_unif.sh running for 33s 89.99/12.15 % Terminating... 90.55/12.30 % Runner terminated. 90.55/12.31 % Zipperpin 1.5 exiting 90.55/12.32 EOF