0.04/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.13/0.14 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.sn8fzChuXs 0.14/0.35 % Computer : n014.cluster.edu 0.14/0.35 % Model : x86_64 x86_64 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.35 % Memory : 8042.1875MB 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.35 % CPULimit : 180 0.14/0.35 % DateTime : Thu Aug 29 09:35:54 EDT 2019 0.14/0.35 % CPUTime : 136.10/137.14 % Running portfolio for 180 s 136.10/137.14 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 136.10/137.14 % TempDir : /export/starexec/sandbox2/tmp/tmp.sn8fzChuXs 136.10/137.14 % Recognized as monomorphic HO. 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/competitive.3.sh for 3 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.sh for 28 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.1.sh for 12 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.2.sh for 7 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.sh for 3 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.1.sh for 14 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.shallow.2.sh for 12 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.ll.e.sh for 19 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.sh for 13 136.10/137.14 % Running /export/starexec/sandbox2/solver/bin/pragmatic.bools.1.sh for 10 136.10/137.14 % Solved by: pragmatic.bools.1.sh 136.10/137.14 % done 513 iterations in 6.041s 136.10/137.14 % hashcons stats for terms: size 9223, num 40049, sum length 74120, buckets: small 0, median 7, big 22 136.10/137.14 % proof state stats: {active 196, passive 9204, simpl 0} 136.10/137.14 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 136.10/137.14 % SZS output start Refutation 136.10/137.14 tff(breln1unionI, axiom, breln1unionI <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.14 (breln1(A,S) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 ((in(kpair(Xx,Xy),S) | in(kpair(Xx,Xy),R)) => 136.10/137.14 in(kpair(Xx,Xy),binunion(R,S)))))))))))). 136.10/137.14 tff('0', plain, 136.10/137.14 breln1unionI = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (breln1(X2,X4) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (![X6]: 136.10/137.14 (in(X6,X2) => 136.10/137.14 ((in(kpair(X5,X6),X4) | in(kpair(X5,X6),X3)) => 136.10/137.14 in(kpair(X5,X6),binunion(X3,X4))))))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1unionIR, axiom, breln1unionIR <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.14 (breln1(A,S) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),binunion(R,S)))))))))))). 136.10/137.14 tff('1', plain, 136.10/137.14 breln1unionIR = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (breln1(X2,X4) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (![X6]: 136.10/137.14 (in(X6,X2) => 136.10/137.14 (in(kpair(X5,X6),X4) => in(kpair(X5,X6),binunion(X3,X4))))))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1unionIL, axiom, breln1unionIL <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.14 (breln1(A,S) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),binunion(R,S)))))))))))). 136.10/137.14 tff('2', plain, 136.10/137.14 breln1unionIL = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (breln1(X2,X4) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (![X6]: 136.10/137.14 (in(X6,X2) => 136.10/137.14 (in(kpair(X5,X6),X3) => in(kpair(X5,X6),binunion(X3,X4))))))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1unionprop, axiom, breln1unionprop <=> 136.10/137.14 (![A,R]: (breln1(A,R) => (![S]: (breln1(A,S) => breln1(A,binunion(R,S))))))). 136.10/137.14 tff('3', plain, 136.10/137.14 breln1unionprop = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: (breln1(X2,X4) => breln1(X2,binunion(X3,X4)))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1compEex, axiom, breln1compEex <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.14 (breln1(A,S) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 (in(kpair(Xx,Xy),breln1compset(A,R,S)) => 136.10/137.14 (![Xphi:$o]: 136.10/137.14 ((![Xz]: 136.10/137.14 (in(Xz,A) => 136.10/137.14 (in(kpair(Xx,Xz),R) => 136.10/137.14 (in(kpair(Xz,Xy),S) => Xphi)))) => 136.10/137.14 Xphi)))))))))))). 136.10/137.14 tff('4', plain, 136.10/137.14 breln1compEex = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (breln1(X2,X4) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (![X6]: 136.10/137.14 (in(X6,X2) => 136.10/137.14 (in(kpair(X5,X6),breln1compset(X2,X3,X4)) => 136.10/137.14 (![X7:$o]: 136.10/137.14 ((![X8]: 136.10/137.14 (in(X8,X2) => 136.10/137.14 (in(kpair(X5,X8),X3) => 136.10/137.14 (in(kpair(X8,X6),X4) => X7)))) => 136.10/137.14 X7))))))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1compE, axiom, breln1compE <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.14 (breln1(A,S) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 (in(kpair(Xx,Xy),breln1compset(A,R,S)) => 136.10/137.14 (?[Xz]: 136.10/137.14 (in(kpair(Xz,Xy),S) & in(kpair(Xx,Xz),R) & in(Xz,A))))))))))))). 136.10/137.14 tff('5', plain, 136.10/137.14 breln1compE = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (breln1(X2,X4) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (![X6]: 136.10/137.14 (in(X6,X2) => 136.10/137.14 (in(kpair(X5,X6),breln1compset(X2,X3,X4)) => 136.10/137.14 (?[X7]: 136.10/137.14 (in(kpair(X7,X6),X4) & in(kpair(X5,X7),X3) & 136.10/137.14 in(X7,X2)))))))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1compI, axiom, breln1compI <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.14 (breln1(A,S) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 (![Xz]: 136.10/137.14 (in(Xz,A) => 136.10/137.14 (in(kpair(Xx,Xz),R) => 136.10/137.14 (in(kpair(Xz,Xy),S) => 136.10/137.14 in(kpair(Xx,Xy),breln1compset(A,R,S))))))))))))))). 136.10/137.14 tff('6', plain, 136.10/137.14 breln1compI = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (breln1(X2,X4) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (![X6]: 136.10/137.14 (in(X6,X2) => 136.10/137.14 (![X7]: 136.10/137.14 (in(X7,X2) => 136.10/137.14 (in(kpair(X5,X7),X3) => 136.10/137.14 (in(kpair(X7,X6),X4) => 136.10/137.14 in(kpair(X5,X6),breln1compset(X2,X3,X4)))))))))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1compprop, axiom, breln1compprop <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => (![S]: (breln1(A,S) => breln1(A,breln1compset(A,R,S))))))). 136.10/137.14 tff('7', plain, 136.10/137.14 breln1compprop = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: (breln1(X2,X4) => breln1(X2,breln1compset(X2,X3,X4)))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1invE, axiom, breln1invE <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 (in(kpair(Xy,Xx),breln1invset(A,R)) => in(kpair(Xx,Xy),R))))))))). 136.10/137.14 tff('8', plain, 136.10/137.14 breln1invE = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (in(X4,X2) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (in(kpair(X5,X4),breln1invset(X2,X3)) => in(kpair(X4,X5),X3)))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1invI, axiom, breln1invI <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => 136.10/137.14 (in(kpair(Xx,Xy),R) => in(kpair(Xy,Xx),breln1invset(A,R)))))))))). 136.10/137.14 tff('9', plain, 136.10/137.14 breln1invI = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (in(X4,X2) => 136.10/137.14 (![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (in(kpair(X4,X5),X3) => in(kpair(X5,X4),breln1invset(X2,X3))))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(breln1invprop, axiom, breln1invprop <=> 136.10/137.14 (![A,R]: (breln1(A,R) => breln1(A,breln1invset(A,R))))). 136.10/137.14 tff('10', plain, 136.10/137.14 breln1invprop = 136.10/137.14 (![X2,X3]: (breln1(X2,X3) => breln1(X2,breln1invset(X2,X3)))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(eqbreln1, axiom, eqbreln1 <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.14 (breln1(A,S) => 136.10/137.14 ((![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 136.10/137.14 ((![Xx]: 136.10/137.14 (in(Xx,A) => 136.10/137.14 (![Xy]: 136.10/137.14 (in(Xy,A) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 136.10/137.14 (R = S)))))))). 136.10/137.14 tff('11', plain, 136.10/137.14 eqbreln1 = 136.10/137.14 (![X2,X3]: 136.10/137.14 (breln1(X2,X3) => 136.10/137.14 (![X4]: 136.10/137.14 (breln1(X2,X4) => 136.10/137.14 ((![X5]: 136.10/137.14 (in(X5,X2) => 136.10/137.14 (![X6]: 136.10/137.14 (in(X6,X2) => 136.10/137.14 (in(kpair(X5,X6),X3) => in(kpair(X5,X6),X4)))))) => 136.10/137.14 ((![X7]: 136.10/137.14 (in(X7,X2) => 136.10/137.14 (![X8]: 136.10/137.14 (in(X8,X2) => 136.10/137.14 (in(kpair(X7,X8),X4) => in(kpair(X7,X8),X3)))))) => 136.10/137.14 (X3 = X4))))))), 136.10/137.14 define([status(thm)])). 136.10/137.14 tff(subbreln1, axiom, subbreln1 <=> 136.10/137.14 (![A,R]: 136.10/137.14 (breln1(A,R) => 136.10/137.14 (![S]: 136.10/137.15 (breln1(A,S) => 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 136.10/137.15 subset(R,S))))))). 136.10/137.15 tff('12', plain, 136.10/137.15 subbreln1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (breln1(X2,X3) => 136.10/137.15 (![X4]: 136.10/137.15 (breln1(X2,X4) => 136.10/137.15 ((![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (in(kpair(X5,X6),X3) => in(kpair(X5,X6),X4)))))) => 136.10/137.15 subset(X3,X4)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(breln1all1, axiom, breln1all1 <=> 136.10/137.15 (![A,R]: 136.10/137.15 (breln1(A,R) => 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 136.10/137.15 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 136.10/137.15 tff('13', plain, 136.10/137.15 breln1all1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (breln1(X2,X3) => 136.10/137.15 (![X4:($i > $o)]: 136.10/137.15 ((![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => (in(kpair(X5,X6),X3) => X4(kpair(X5,X6))))))) => 136.10/137.15 (![X7]: (in(X7,X3) => X4(X7))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setOfPairsIsBReln1, axiom, setOfPairsIsBReln1 <=> 136.10/137.15 (![A,Xphi:(($i * $i) > $o)]: 136.10/137.15 breln1(A,dpsetconstr(A,A,^[Xx,Xy]: Xphi(Xx,Xy))))). 136.10/137.15 tff('14', plain, 136.10/137.15 setOfPairsIsBReln1 = 136.10/137.15 (![X2,X3:(($i * $i) > $o)]: 136.10/137.15 breln1(X2,dpsetconstr(X2,X2,^[V_1,V_2]: X3(V_1,V_2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(choice2fnsingleton, axiom, choice2fnsingleton <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => (?[Xy]: (Xphi(Xx,Xy) & in(Xy,B))))) => 136.10/137.15 (![R]: 136.10/137.15 (in(R,breln1Set(B)) => 136.10/137.15 (reflwellordering(B,R) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 singleton(dsetconstr(B, 136.10/137.15 ^[Xy]: 136.10/137.15 ((![Xz]: 136.10/137.15 (in(Xz,B) => 136.10/137.15 (Xphi(Xx,Xz) => in(kpair(Xy,Xz),R)))) & 136.10/137.15 Xphi(Xx,Xy)))))))))))). 136.10/137.15 tff('15', plain, 136.10/137.15 choice2fnsingleton = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o)]: 136.10/137.15 ((![X5]: (in(X5,X2) => (?[X6]: (X4(X5,X6) & in(X6,X3))))) => 136.10/137.15 (![X7]: 136.10/137.15 (in(X7,breln1Set(X3)) => 136.10/137.15 (reflwellordering(X3,X7) => 136.10/137.15 (![X8]: 136.10/137.15 (in(X8,X2) => 136.10/137.15 singleton(dsetconstr(X3, 136.10/137.15 ^[V_1]: 136.10/137.15 ((![X9]: 136.10/137.15 (in(X9,X3) => 136.10/137.15 (X4(X8,X9) => 136.10/137.15 in(kpair(V_1,X9),X7)))) & 136.10/137.15 X4(X8,V_1))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(breln1SetBreln1, axiom, breln1SetBreln1 <=> 136.10/137.15 (![A,R]: (in(R,breln1Set(A)) => breln1(A,R)))). 136.10/137.15 tff('16', plain, 136.10/137.15 breln1SetBreln1 = (![X2,X3]: (in(X3,breln1Set(X2)) => breln1(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(breln1all2, axiom, breln1all2 <=> 136.10/137.15 (![A,R]: 136.10/137.15 (breln1(A,R) => 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 136.10/137.15 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 136.10/137.15 tff('17', plain, 136.10/137.15 breln1all2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (breln1(X2,X3) => 136.10/137.15 (![X4:($i > $o)]: 136.10/137.15 ((![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => (in(kpair(X5,X6),X3) => X4(kpair(X5,X6))))))) => 136.10/137.15 (![X7]: (in(X7,X3) => X4(X7))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz1_5, axiom, woz1_5 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 136.10/137.15 tff('18', plain, 136.10/137.15 woz1_5 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 in(setminus(X2,binunion(X3,X4)),powerset(setminus(X2,X3))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz1_4, axiom, woz1_4 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 136.10/137.15 tff('19', plain, 136.10/137.15 woz1_4 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (subset(X3,setminus(X2,X4)) => subset(X4,setminus(X2,X3))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz1_3, axiom, woz1_3 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 in(binintersect(X,Y), 136.10/137.15 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 136.10/137.15 tff('20', plain, 136.10/137.15 woz1_3 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 in(binintersect(X3,X4), 136.10/137.15 powerset(binintersect(binunion(X3,X5),binunion(X4,X5)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz1_2, axiom, woz1_2 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (![W]: 136.10/137.15 (in(W,powerset(A)) => 136.10/137.15 (setminus(A,binintersect(binunion(X,Y),binunion(Z,W))) = 136.10/137.15 binunion(binintersect(setminus(A,X),setminus(A,Y)), 136.10/137.15 binintersect(setminus(A,Z),setminus(A,W))))))))))))). 136.10/137.15 tff('21', plain, 136.10/137.15 woz1_2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,powerset(X2)) => 136.10/137.15 (setminus(X2, 136.10/137.15 binintersect(binunion(X3,X4),binunion(X5,X6))) = 136.10/137.15 binunion(binintersect(setminus(X2,X3),setminus(X2,X4)), 136.10/137.15 binintersect(setminus(X2,X5),setminus(X2,X6)))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz1_1, axiom, woz1_1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 136.10/137.15 tff('22', plain, 136.10/137.15 woz1_1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 in(setminus(X2,X3),powerset(setminus(X2,binintersect(X3,X4)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz13rule4, axiom, woz13rule4 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (![W]: 136.10/137.15 (in(W,powerset(A)) => 136.10/137.15 (subset(X,Z) => 136.10/137.15 (subset(Y,W) => 136.10/137.15 subset(binintersect(X,Y),binintersect(Z,W))))))))))))). 136.10/137.15 tff('23', plain, 136.10/137.15 woz13rule4 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,powerset(X2)) => 136.10/137.15 (subset(X3,X5) => 136.10/137.15 (subset(X4,X6) => 136.10/137.15 subset(binintersect(X3,X4),binintersect(X5,X6)))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz13rule3, axiom, woz13rule3 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (subset(X,Y) => (subset(X,Z) => subset(X,binintersect(Y,Z))))))))))). 136.10/137.15 tff('24', plain, 136.10/137.15 woz13rule3 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (subset(X3,X4) => 136.10/137.15 (subset(X3,X5) => subset(X3,binintersect(X4,X5)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz13rule2, axiom, woz13rule2 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (subset(Y,Z) => subset(binintersect(X,Y),Z))))))))). 136.10/137.15 tff('25', plain, 136.10/137.15 woz13rule2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (subset(X4,X5) => subset(binintersect(X3,X4),X5)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz13rule1, axiom, woz13rule1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (subset(X,Z) => subset(binintersect(X,Y),Z))))))))). 136.10/137.15 tff('26', plain, 136.10/137.15 woz13rule1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (subset(X3,X5) => subset(binintersect(X3,X4),X5)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(woz13rule0, axiom, woz13rule0 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,binintersect(X,Y)) => in(Xx,A)))))))). 136.10/137.15 tff('27', plain, 136.10/137.15 woz13rule0 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: (in(X5,binintersect(X3,X4)) => in(X5,X2))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan2, axiom, demorgan2 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (setminus(A,binunion(X,Y)) = 136.10/137.15 binintersect(setminus(A,X),setminus(A,Y)))))))). 136.10/137.15 tff('28', plain, 136.10/137.15 demorgan2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (setminus(X2,binunion(X3,X4)) = 136.10/137.15 binintersect(setminus(X2,X3),setminus(X2,X4))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan2b, axiom, demorgan2b <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,binintersect(setminus(A,X),setminus(A,Y))) => 136.10/137.15 in(Xx,setminus(A,binunion(X,Y))))))))))). 136.10/137.15 tff('29', plain, 136.10/137.15 demorgan2b = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,binintersect(setminus(X2,X3),setminus(X2,X4))) => 136.10/137.15 in(X5,setminus(X2,binunion(X3,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan2b2, axiom, demorgan2b2 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,X)) => 136.10/137.15 (in(Xx,setminus(A,Y)) => in(Xx,setminus(A,binunion(X,Y)))))))))))). 136.10/137.15 tff('30', plain, 136.10/137.15 demorgan2b2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,X3)) => 136.10/137.15 (in(X5,setminus(X2,X4)) => 136.10/137.15 in(X5,setminus(X2,binunion(X3,X4))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan2a, axiom, demorgan2a <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,binunion(X,Y))) => 136.10/137.15 in(Xx,binintersect(setminus(A,X),setminus(A,Y))))))))))). 136.10/137.15 tff('31', plain, 136.10/137.15 demorgan2a = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,binunion(X3,X4))) => 136.10/137.15 in(X5,binintersect(setminus(X2,X3),setminus(X2,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan1, axiom, demorgan1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (setminus(A,binintersect(X,Y)) = 136.10/137.15 binunion(setminus(A,X),setminus(A,Y)))))))). 136.10/137.15 tff('32', plain, 136.10/137.15 demorgan1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (setminus(X2,binintersect(X3,X4)) = 136.10/137.15 binunion(setminus(X2,X3),setminus(X2,X4))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan1b, axiom, demorgan1b <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,binunion(setminus(A,X),setminus(A,Y))) => 136.10/137.15 in(Xx,setminus(A,binintersect(X,Y))))))))))). 136.10/137.15 tff('33', plain, 136.10/137.15 demorgan1b = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,binunion(setminus(X2,X3),setminus(X2,X4))) => 136.10/137.15 in(X5,setminus(X2,binintersect(X3,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan1a, axiom, demorgan1a <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,binintersect(X,Y))) => 136.10/137.15 in(Xx,binunion(setminus(A,X),setminus(A,Y))))))))))). 136.10/137.15 tff('34', plain, 136.10/137.15 demorgan1a = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,binintersect(X3,X4))) => 136.10/137.15 in(X5,binunion(setminus(X2,X3),setminus(X2,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan2a2, axiom, demorgan2a2 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,Y)))))))))). 136.10/137.15 tff('35', plain, 136.10/137.15 demorgan2a2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,binunion(X3,X4))) => 136.10/137.15 in(X5,setminus(X2,X4))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementUnionInPowersetComplement, axiom, 136.10/137.15 complementUnionInPowersetComplement <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 136.10/137.15 tff('36', plain, 136.10/137.15 complementUnionInPowersetComplement = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 in(setminus(X2,binunion(X3,X4)),powerset(setminus(X2,X3))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(demorgan2a1, axiom, demorgan2a1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 136.10/137.15 tff('37', plain, 136.10/137.15 demorgan2a1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,binunion(X3,X4))) => 136.10/137.15 in(X5,setminus(X2,X3))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionTEcontra, axiom, binunionTEcontra <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 ((~in(Xx,X)) => ((~in(Xx,Y)) => (~in(Xx,binunion(X,Y)))))))))))). 136.10/137.15 tff('38', plain, 136.10/137.15 binunionTEcontra = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 ((~in(X5,X3)) => ((~in(X5,X4)) => (~in(X5,binunion(X3,X4))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionTE, axiom, binunionTE <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,binunion(X,Y)) => 136.10/137.15 ((in(Xx,X) => Xphi) => ((in(Xx,Y) => Xphi) => Xphi)))))))))). 136.10/137.15 tff('39', plain, 136.10/137.15 binunionTE = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5:$o,X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (in(X6,binunion(X3,X4)) => 136.10/137.15 ((in(X6,X3) => X5) => ((in(X6,X4) => X5) => X5))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(inComplementUnionImpInComplement1, axiom, 136.10/137.15 inComplementUnionImpInComplement1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 136.10/137.15 tff('40', plain, 136.10/137.15 inComplementUnionImpInComplement1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,binunion(X3,X4))) => 136.10/137.15 in(X5,setminus(X2,X3))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => (in(Xx,setminus(A,binunion(X,Y))) => (~in(Xx,X)))))))))). 136.10/137.15 tff('41', plain, 136.10/137.15 inComplementUnionImpNotIn1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,binunion(X3,X4))) => (~in(X5,X3))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(intersectInPowersetIntersectUnions, axiom, 136.10/137.15 intersectInPowersetIntersectUnions <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 in(binintersect(X,Y), 136.10/137.15 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 136.10/137.15 tff('42', plain, 136.10/137.15 intersectInPowersetIntersectUnions = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 in(binintersect(X3,X4), 136.10/137.15 powerset(binintersect(binunion(X3,X5),binunion(X4,X5)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(inIntersectImpInIntersectUnions, axiom, 136.10/137.15 inIntersectImpInIntersectUnions <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,binintersect(X,Y)) => 136.10/137.15 in(Xx,binintersect(binunion(X,Z),binunion(Y,Z))))))))))))). 136.10/137.15 tff('43', plain, 136.10/137.15 inIntersectImpInIntersectUnions = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (in(X6,binintersect(X3,X4)) => 136.10/137.15 in(X6,binintersect(binunion(X3,X5),binunion(X4,X5)))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(Y,Z)))))))))))). 136.10/137.15 tff('44', plain, 136.10/137.15 inIntersectImpInUnion2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (in(X6,binintersect(X3,X4)) => in(X6,binunion(X4,X5))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(inIntersectImpInUnion, axiom, inIntersectImpInUnion <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Z]: 136.10/137.15 (in(Z,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(X,Z)))))))))))). 136.10/137.15 tff('45', plain, 136.10/137.15 inIntersectImpInUnion = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,powerset(X2)) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (in(X6,binintersect(X3,X4)) => in(X6,binunion(X3,X5))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionTIRcontra, axiom, binunionTIRcontra <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y)))))))))). 136.10/137.15 tff('46', plain, 136.10/137.15 binunionTIRcontra = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X4))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionTILcontra, axiom, binunionTILcontra <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X)))))))))). 136.10/137.15 tff('47', plain, 136.10/137.15 binunionTILcontra = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X3))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementTcontraSubset, axiom, complementTcontraSubset <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 136.10/137.15 tff('48', plain, 136.10/137.15 complementTcontraSubset = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (subset(X3,setminus(X2,X4)) => subset(X4,setminus(X2,X3))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(contraSubsetComplement, axiom, contraSubsetComplement <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (subset(X,setminus(A,Y)) => 136.10/137.15 (![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,setminus(A,X))))))))))). 136.10/137.15 tff('49', plain, 136.10/137.15 contraSubsetComplement = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (subset(X3,setminus(X2,X4)) => 136.10/137.15 (![X5]: (in(X5,X2) => (in(X5,X4) => in(X5,setminus(X2,X3)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementInPowersetComplementIntersect, axiom, 136.10/137.15 complementInPowersetComplementIntersect <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 136.10/137.15 tff('50', plain, 136.10/137.15 complementInPowersetComplementIntersect = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 in(setminus(X2,X3),powerset(setminus(X2,binintersect(X3,X4)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementSubsetComplementIntersect, axiom, 136.10/137.15 complementSubsetComplementIntersect <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 subset(setminus(A,X),setminus(A,binintersect(X,Y)))))))). 136.10/137.15 tff('51', plain, 136.10/137.15 complementSubsetComplementIntersect = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 subset(setminus(X2,X3),setminus(X2,binintersect(X3,X4))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementImpComplementIntersect, axiom, 136.10/137.15 complementImpComplementIntersect <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,X)) => in(Xx,setminus(A,binintersect(X,Y))))))))))). 136.10/137.15 tff('52', plain, 136.10/137.15 complementImpComplementIntersect = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,X3)) => 136.10/137.15 in(X5,setminus(X2,binintersect(X3,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementTnotintersectT, axiom, complementTnotintersectT <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (in(Xx,setminus(A,X)) => (~in(Xx,binintersect(X,Y))))))))))). 136.10/137.15 tff('53', plain, 136.10/137.15 complementTnotintersectT = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X5,setminus(X2,X3)) => (~in(X5,binintersect(X3,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(doubleComplementEq, axiom, doubleComplementEq <=> 136.10/137.15 (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))). 136.10/137.15 tff('54', plain, 136.10/137.15 doubleComplementEq = 136.10/137.15 (![X2,X3]: (in(X3,powerset(X2)) => (X3 = setminus(X2,setminus(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(doubleComplementSub2, axiom, doubleComplementSub2 <=> 136.10/137.15 (![A,X]: (in(X,powerset(A)) => subset(setminus(A,setminus(A,X)),X)))). 136.10/137.15 tff('55', plain, 136.10/137.15 doubleComplementSub2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => subset(setminus(X2,setminus(X2,X3)),X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 136.10/137.15 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 136.10/137.15 tff('56', plain, 136.10/137.15 doubleComplementSub1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => subset(X3,setminus(X2,setminus(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 136.10/137.15 tff('57', plain, 136.10/137.15 doubleComplementE1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,X2) => (in(X4,setminus(X2,setminus(X2,X3))) => in(X4,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 136.10/137.15 tff('58', plain, 136.10/137.15 doubleComplementI1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,X2) => (in(X4,X3) => in(X4,setminus(X2,setminus(X2,X3)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 136.10/137.15 tff('59', plain, 136.10/137.15 contrasubsetT3 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (subset(setminus(X2,X4),setminus(X2,X3)) => subset(X3,X4)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 136.10/137.15 tff('60', plain, 136.10/137.15 contrasubsetT2 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (subset(X3,X4) => subset(setminus(X2,X4),setminus(X2,X3))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 136.10/137.15 tff('61', plain, 136.10/137.15 contrasubsetT1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (subset(X3,X4) => ((~in(X5,X4)) => (~in(X5,X3)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(contrasubsetT, axiom, contrasubsetT <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 136.10/137.15 tff('62', plain, 136.10/137.15 contrasubsetT = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (subset(X3,setminus(X2,X4)) => (in(X5,X4) => (~in(X5,X3)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectTERcontra, axiom, binintersectTERcontra <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y))))))))))). 136.10/137.15 tff('63', plain, 136.10/137.15 binintersectTERcontra = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => ((~in(X5,X4)) => (~in(X5,binintersect(X3,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectTELcontra, axiom, binintersectTELcontra <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y))))))))))). 136.10/137.15 tff('64', plain, 136.10/137.15 binintersectTELcontra = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => ((~in(X5,X3)) => (~in(X5,binintersect(X3,X4)))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementTE1, axiom, complementTE1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 136.10/137.15 tff('65', plain, 136.10/137.15 complementTE1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: (in(X4,X2) => ((~in(X4,setminus(X2,X3))) => in(X4,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementTI1, axiom, complementTI1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 136.10/137.15 tff('66', plain, 136.10/137.15 complementTI1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,setminus(X2,X3)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetTE1, axiom, powersetTE1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 136.10/137.15 tff('67', plain, 136.10/137.15 powersetTE1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (in(X3,powerset(X4)) => (in(X5,X3) => in(X5,X4))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetTI1, axiom, powersetTI1 <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 136.10/137.15 tff('68', plain, 136.10/137.15 powersetTI1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 136.10/137.15 in(X3,powerset(X4))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetTI, axiom, subsetTI <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 136.10/137.15 tff('69', plain, 136.10/137.15 subsetTI = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 136.10/137.15 subset(X3,X4)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setextT, axiom, setextT <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: 136.10/137.15 (in(Y,powerset(A)) => 136.10/137.15 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 136.10/137.15 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 136.10/137.15 tff('70', plain, 136.10/137.15 setextT = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,powerset(X2)) => 136.10/137.15 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 136.10/137.15 ((![X6]: (in(X6,X2) => (in(X6,X4) => in(X6,X3)))) => (X3 = X4))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(complementT_lem, axiom, complementT_lem <=> 136.10/137.15 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 136.10/137.15 tff('71', plain, 136.10/137.15 complementT_lem = 136.10/137.15 (![X2,X3]: (in(X3,powerset(X2)) => in(setminus(X2,X3),powerset(X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusT_lem, axiom, setminusT_lem <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 136.10/137.15 tff('72', plain, 136.10/137.15 setminusT_lem = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: (in(X4,powerset(X2)) => in(setminus(X3,X4),powerset(X2)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetT_lem, axiom, powersetT_lem <=> 136.10/137.15 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 136.10/137.15 tff('73', plain, 136.10/137.15 powersetT_lem = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => in(powerset(X3),powerset(powerset(X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionT_lem, axiom, binunionT_lem <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))). 136.10/137.15 tff('74', plain, 136.10/137.15 binunionT_lem = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: (in(X4,powerset(X2)) => in(binunion(X3,X4),powerset(X2)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectT_lem, axiom, binintersectT_lem <=> 136.10/137.15 (![A,X]: 136.10/137.15 (in(X,powerset(A)) => 136.10/137.15 (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))). 136.10/137.15 tff('75', plain, 136.10/137.15 binintersectT_lem = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,powerset(X2)) => 136.10/137.15 (![X4]: (in(X4,powerset(X2)) => in(binintersect(X3,X4),powerset(X2)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(iftrueorfalse, axiom, iftrueorfalse <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => 136.10/137.15 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))). 136.10/137.15 tff('76', plain, 136.10/137.15 iftrueorfalse = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 in(if(X2,X3,X4,X5),setadjoin(X4,setadjoin(X5,emptyset))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(iffalse, axiom, iffalse <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy))))))). 136.10/137.15 tff('77', plain, 136.10/137.15 iffalse = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: (in(X5,X2) => ((~X3) => (if(X2,X3,X4,X5) = X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(iftrue, axiom, iftrue <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx))))))). 136.10/137.15 tff('78', plain, 136.10/137.15 iftrue = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => (![X5]: (in(X5,X2) => (X3 => (if(X2,X3,X4,X5) = X4)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(theeq, axiom, theeq <=> 136.10/137.15 (![X]: (singleton(X) => (![Xx]: (in(Xx,X) => (setunion(X) = Xx)))))). 136.10/137.15 tff('79', plain, 136.10/137.15 theeq = 136.10/137.15 (![X2]: (singleton(X2) => (![X3]: (in(X3,X2) => (setunion(X2) = X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ifp, axiom, ifp <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => (![Xy]: (in(Xy,A) => in(if(A,Xphi,Xx,Xy),A)))))). 136.10/137.15 tff('80', plain, 136.10/137.15 ifp = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => (![X5]: (in(X5,X2) => in(if(X2,X3,X4,X5),X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ifSingleton, axiom, ifSingleton <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => 136.10/137.15 singleton(dsetconstr(A, 136.10/137.15 ^[Xz]: 136.10/137.15 (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))))))))). 136.10/137.15 tff('81', plain, 136.10/137.15 ifSingleton = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 singleton(dsetconstr(X2, 136.10/137.15 ^[V_1]: 136.10/137.15 (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(iftrueProp2, axiom, iftrueProp2 <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => 136.10/137.15 (Xphi => 136.10/137.15 (dsetconstr(A,^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))) = 136.10/137.15 setadjoin(Xx,emptyset)))))))). 136.10/137.15 tff('82', plain, 136.10/137.15 iftrueProp2 = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (X3 => 136.10/137.15 (dsetconstr(X2, 136.10/137.15 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))) = 136.10/137.15 setadjoin(X4,emptyset))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(iftrueProp1, axiom, iftrueProp1 <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => 136.10/137.15 (Xphi => 136.10/137.15 in(Xx, 136.10/137.15 dsetconstr(A, 136.10/137.15 ^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi)))))))))). 136.10/137.15 tff('83', plain, 136.10/137.15 iftrueProp1 = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (X3 => 136.10/137.15 in(X4, 136.10/137.15 dsetconstr(X2, 136.10/137.15 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(iffalseProp2, axiom, iffalseProp2 <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => 136.10/137.15 ((~Xphi) => 136.10/137.15 (dsetconstr(A,^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))) = 136.10/137.15 setadjoin(Xy,emptyset)))))))). 136.10/137.15 tff('84', plain, 136.10/137.15 iffalseProp2 = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 ((~X3) => 136.10/137.15 (dsetconstr(X2, 136.10/137.15 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))) = 136.10/137.15 setadjoin(X5,emptyset))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(iffalseProp1, axiom, iffalseProp1 <=> 136.10/137.15 (![A,Xphi:$o,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,A) => 136.10/137.15 ((~Xphi) => 136.10/137.15 in(Xy, 136.10/137.15 dsetconstr(A, 136.10/137.15 ^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi)))))))))). 136.10/137.15 tff('85', plain, 136.10/137.15 iffalseProp1 = 136.10/137.15 (![X2,X3:$o,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 ((~X3) => 136.10/137.15 in(X5, 136.10/137.15 dsetconstr(X2, 136.10/137.15 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(eta2, axiom, eta2 <=> 136.10/137.15 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 136.10/137.15 tff('86', plain, 136.10/137.15 eta2 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,funcSet(X2,X3)) => (lam(X2,X3,^[V_1]: ap(X2,X3,X4,V_1)) = X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(beta2, axiom, beta2 <=> 136.10/137.15 (![A,B,Xf:($i > $i)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 136.10/137.15 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 136.10/137.15 tff('87', plain, 136.10/137.15 beta2 = 136.10/137.15 (![X2,X3,X4:($i > $i)]: 136.10/137.15 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => (ap(X2,X3,lam(X2,X3,^[V_1]: X4(V_1)),X6) = X4(X6)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(lam2lamEq, axiom, lam2lamEq <=> 136.10/137.15 (![A,B,Xf:($i > $i)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 136.10/137.15 (lam(A,B,^[Xx]: Xf(Xx)) = lam(A,B,^[Xx]: Xf(Xx)))))). 136.10/137.15 tff('88', plain, 136.10/137.15 lam2lamEq = 136.10/137.15 (![X2,X3,X4:($i > $i)]: 136.10/137.15 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 136.10/137.15 (lam(X2,X3,^[V_1]: X4(V_1)) = lam(X2,X3,^[V_2]: X4(V_2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(eta1, axiom, eta1 <=> 136.10/137.15 (![A,B,Xf]: (func(A,B,Xf) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 136.10/137.15 tff('89', plain, 136.10/137.15 eta1 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => (lam(X2,X3,^[V_1]: ap(X2,X3,X4,V_1)) = X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(beta1, axiom, beta1 <=> 136.10/137.15 (![A,B,Xf:($i > $i)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 136.10/137.15 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 136.10/137.15 tff('90', plain, 136.10/137.15 beta1 = 136.10/137.15 (![X2,X3,X4:($i > $i)]: 136.10/137.15 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X2) => (ap(X2,X3,lam(X2,X3,^[V_1]: X4(V_1)),X6) = X4(X6)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ap2apEq2, axiom, ap2apEq2 <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 136.10/137.15 tff('91', plain, 136.10/137.15 ap2apEq2 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => 136.10/137.15 (![X5]: (in(X5,X2) => (ap(X2,X3,X4,X5) = ap(X2,X3,X4,X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ap2apEq1, axiom, ap2apEq1 <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (in(Xf,funcSet(A,B)) => 136.10/137.15 (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 136.10/137.15 tff('92', plain, 136.10/137.15 ap2apEq1 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,funcSet(X2,X3)) => 136.10/137.15 (![X5]: (in(X5,X2) => (ap(X2,X3,X4,X5) = ap(X2,X3,X4,X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcext2, axiom, funcext2 <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (in(Xf,funcSet(A,B)) => 136.10/137.15 (![Xg]: 136.10/137.15 (in(Xg,funcSet(A,B)) => 136.10/137.15 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 136.10/137.15 (Xf = Xg))))))). 136.10/137.15 tff('93', plain, 136.10/137.15 funcext2 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,funcSet(X2,X3)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,funcSet(X2,X3)) => 136.10/137.15 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 136.10/137.15 (X4 = X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcext, axiom, funcext <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (func(A,B,Xf) => 136.10/137.15 (![Xg]: 136.10/137.15 (func(A,B,Xg) => 136.10/137.15 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 136.10/137.15 (Xf = Xg))))))). 136.10/137.15 tff('94', plain, 136.10/137.15 funcext = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => 136.10/137.15 (![X5]: 136.10/137.15 (func(X2,X3,X5) => 136.10/137.15 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 136.10/137.15 (X4 = X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(eqbreln, axiom, eqbreln <=> 136.10/137.15 (![A,B,R]: 136.10/137.15 (breln(A,B,R) => 136.10/137.15 (![S]: 136.10/137.15 (breln(A,B,S) => 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 136.10/137.15 (R = S)))))))). 136.10/137.15 tff('95', plain, 136.10/137.15 eqbreln = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (breln(X2,X3,X4) => 136.10/137.15 (![X5]: 136.10/137.15 (breln(X2,X3,X5) => 136.10/137.15 ((![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (![X7]: 136.10/137.15 (in(X7,X3) => 136.10/137.15 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 136.10/137.15 ((![X8]: 136.10/137.15 (in(X8,X2) => 136.10/137.15 (![X9]: 136.10/137.15 (in(X9,X3) => 136.10/137.15 (in(kpair(X8,X9),X5) => in(kpair(X8,X9),X4)))))) => 136.10/137.15 (X4 = X5))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subbreln, axiom, subbreln <=> 136.10/137.15 (![A,B,R]: 136.10/137.15 (breln(A,B,R) => 136.10/137.15 (![S]: 136.10/137.15 (breln(A,B,S) => 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 136.10/137.15 subset(R,S))))))). 136.10/137.15 tff('96', plain, 136.10/137.15 subbreln = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (breln(X2,X3,X4) => 136.10/137.15 (![X5]: 136.10/137.15 (breln(X2,X3,X5) => 136.10/137.15 ((![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (![X7]: 136.10/137.15 (in(X7,X3) => 136.10/137.15 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 136.10/137.15 subset(X4,X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (in(Xf,funcSet(A,B)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 136.10/137.15 tff('97', plain, 136.10/137.15 funcGraphProp4 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,funcSet(X2,X3)) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcextLem, axiom, funcextLem <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (func(A,B,Xf) => 136.10/137.15 (![Xg]: 136.10/137.15 (func(A,B,Xg) => 136.10/137.15 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 136.10/137.15 tff('98', plain, 136.10/137.15 funcextLem = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => 136.10/137.15 (![X5]: 136.10/137.15 (func(X2,X3,X5) => 136.10/137.15 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 136.10/137.15 (![X7]: 136.10/137.15 (in(X7,X2) => 136.10/137.15 (![X8]: 136.10/137.15 (in(X8,X3) => 136.10/137.15 (in(kpair(X7,X8),X5) => in(kpair(X7,X8),X4))))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (func(A,B,Xf) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 136.10/137.15 tff('99', plain, 136.10/137.15 funcGraphProp2 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (in(Xf,funcSet(A,B)) => 136.10/137.15 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 136.10/137.15 tff('100', plain, 136.10/137.15 funcGraphProp3 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,funcSet(X2,X3)) => 136.10/137.15 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 136.10/137.15 tff('101', plain, 136.10/137.15 funcGraphProp1 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => 136.10/137.15 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ex1E2, axiom, ex1E2 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 (ex1(A,^[Xx]: Xphi(Xx)) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 136.10/137.15 tff('102', plain, 136.10/137.15 ex1E2 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 (ex1(X2,^[V_1]: X3(V_1)) => 136.10/137.15 (![X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(brelnall2, axiom, brelnall2 <=> 136.10/137.15 (![A,B,R]: 136.10/137.15 (breln(A,B,R) => 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 136.10/137.15 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 136.10/137.15 tff('103', plain, 136.10/137.15 brelnall2 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (breln(X2,X3,X4) => 136.10/137.15 (![X5:($i > $o)]: 136.10/137.15 ((![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (![X7]: 136.10/137.15 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 136.10/137.15 (![X8]: (in(X8,X4) => X5(X8))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(brelnall1, axiom, brelnall1 <=> 136.10/137.15 (![A,B,R]: 136.10/137.15 (breln(A,B,R) => 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 136.10/137.15 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 136.10/137.15 tff('104', plain, 136.10/137.15 brelnall1 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (breln(X2,X3,X4) => 136.10/137.15 (![X5:($i > $o)]: 136.10/137.15 ((![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (![X7]: 136.10/137.15 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 136.10/137.15 (![X8]: (in(X8,X4) => X5(X8))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(lam2p, axiom, lam2p <=> 136.10/137.15 (![A,B,Xf:($i > $i)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 136.10/137.15 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 136.10/137.15 tff('105', plain, 136.10/137.15 lam2p = 136.10/137.15 (![X2,X3,X4:($i > $i)]: 136.10/137.15 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 136.10/137.15 in(lam(X2,X3,^[V_1]: X4(V_1)),funcSet(X2,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(lamp, axiom, lamp <=> 136.10/137.15 (![A,B,Xf:($i > $i)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 136.10/137.15 tff('106', plain, 136.10/137.15 lamp = 136.10/137.15 (![X2,X3,X4:($i > $i)]: 136.10/137.15 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 136.10/137.15 func(X2,X3,lam(X2,X3,^[V_1]: X4(V_1))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(lamProp, axiom, lamProp <=> 136.10/137.15 (![A,B,Xf:($i > $i)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 136.10/137.15 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 136.10/137.15 tff('107', plain, 136.10/137.15 lamProp = 136.10/137.15 (![X2,X3,X4:($i > $i)]: 136.10/137.15 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 136.10/137.15 func(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: (X4(V_1) = V_2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcinfuncset, axiom, funcinfuncset <=> 136.10/137.15 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 136.10/137.15 tff('108', plain, 136.10/137.15 funcinfuncset = (![X2,X3,X4]: (func(X2,X3,X4) => in(X4,funcSet(X2,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ap2p, axiom, ap2p <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 136.10/137.15 tff('109', plain, 136.10/137.15 ap2p = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,funcSet(X2,X3)) => 136.10/137.15 (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(infuncsetfunc, axiom, infuncsetfunc <=> 136.10/137.15 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 136.10/137.15 tff('110', plain, 136.10/137.15 infuncsetfunc = (![X2,X3,X4]: (in(X4,funcSet(X2,X3)) => func(X2,X3,X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(app, axiom, app <=> 136.10/137.15 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 136.10/137.15 tff('111', plain, 136.10/137.15 app = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(apProp, axiom, apProp <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (func(A,B,Xf) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 136.10/137.15 tff('112', plain, 136.10/137.15 apProp = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 in(setunion(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))),X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(funcImageSingleton, axiom, funcImageSingleton <=> 136.10/137.15 (![A,B,Xf]: 136.10/137.15 (func(A,B,Xf) => 136.10/137.15 (![Xx]: 136.10/137.15 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 136.10/137.15 tff('113', plain, 136.10/137.15 funcImageSingleton = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (func(X2,X3,X4) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 singleton(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dpsetconstrER, axiom, dpsetconstrER <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 136.10/137.15 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 136.10/137.15 tff('114', plain, 136.10/137.15 dpsetconstrER = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 136.10/137.15 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 136.10/137.15 X4(X5,X6))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 136.10/137.15 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 136.10/137.15 tff('115', plain, 136.10/137.15 dpsetconstrEL2 = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 136.10/137.15 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 136.10/137.15 in(X6,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 136.10/137.15 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 136.10/137.15 tff('116', plain, 136.10/137.15 dpsetconstrEL1 = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 136.10/137.15 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 136.10/137.15 in(X5,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o),Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => 136.10/137.15 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 136.10/137.15 Xphi(Xx,Xy))))))). 136.10/137.15 tff('117', plain, 136.10/137.15 dpsetconstrERa = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o),X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X3) => 136.10/137.15 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 136.10/137.15 X4(X5,X6)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o)]: 136.10/137.15 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 136.10/137.15 tff('118', plain, 136.10/137.15 setOfPairsIsBReln = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o)]: 136.10/137.15 breln(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o)]: 136.10/137.15 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 136.10/137.15 tff('119', plain, 136.10/137.15 dpsetconstrSub = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o)]: 136.10/137.15 subset(dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)),cartprod(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dpsetconstrI, axiom, dpsetconstrI <=> 136.10/137.15 (![A,B,Xphi:(($i * $i) > $o),Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => 136.10/137.15 (Xphi(Xx,Xy) => 136.10/137.15 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 136.10/137.15 tff('120', plain, 136.10/137.15 dpsetconstrI = 136.10/137.15 (![X2,X3,X4:(($i * $i) > $o),X5]: 136.10/137.15 (in(X5,X2) => 136.10/137.15 (![X6]: 136.10/137.15 (in(X6,X3) => 136.10/137.15 (X4(X5,X6) => 136.10/137.15 in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 136.10/137.15 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 136.10/137.15 tff('121', plain, 136.10/137.15 cartprodpairsurjEq = 136.10/137.15 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => (kpair(kfst(X4),ksnd(X4)) = X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 136.10/137.15 tff('122', plain, 136.10/137.15 cartprodsndpairEq = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => (![X5]: (in(X5,X3) => (ksnd(kpair(X4,X5)) = X5))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 136.10/137.15 tff('123', plain, 136.10/137.15 cartprodfstpairEq = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => (![X5]: (in(X5,X3) => (kfst(kpair(X4,X5)) = X4))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 136.10/137.15 tff('124', plain, 136.10/137.15 cartprodmempaircEq = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => (![X5]: (in(X5,X3) => (kpair(X4,X5) = kpair(X4,X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 136.10/137.15 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 136.10/137.15 tff('125', plain, 136.10/137.15 cartprodpairmemER = 136.10/137.15 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X5,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 136.10/137.15 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 136.10/137.15 tff('126', plain, 136.10/137.15 cartprodpairmemEL = 136.10/137.15 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X4,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodsndin, axiom, cartprodsndin <=> 136.10/137.15 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 136.10/137.15 tff('127', plain, 136.10/137.15 cartprodsndin = 136.10/137.15 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(ksnd(X4),X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(kpairsurjEq, axiom, kpairsurjEq <=> 136.10/137.15 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 136.10/137.15 tff('128', plain, 136.10/137.15 kpairsurjEq = (![X2]: (iskpair(X2) => (kpair(kfst(X2),ksnd(X2)) = X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 136.10/137.15 tff('129', plain, ksndpairEq = (![X2,X3]: (ksnd(kpair(X2,X3)) = X3)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ksndsingleton, axiom, ksndsingleton <=> 136.10/137.15 (![Xu]: 136.10/137.15 (iskpair(Xu) => 136.10/137.15 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 136.10/137.15 tff('130', plain, 136.10/137.15 ksndsingleton = 136.10/137.15 (![X2]: 136.10/137.15 (iskpair(X2) => 136.10/137.15 singleton(dsetconstr(setunion(X2),^[V_1]: (X2 = kpair(kfst(X2),V_1)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjR, axiom, setukpairinjR <=> 136.10/137.15 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 136.10/137.15 tff('131', plain, 136.10/137.15 setukpairinjR = 136.10/137.15 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X3 = X5))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 136.10/137.15 (![Xx,Xy,Xz,Xu]: 136.10/137.15 ((setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(Xz,emptyset), 136.10/137.15 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 136.10/137.15 (Xy = Xu)))). 136.10/137.15 tff('132', plain, 136.10/137.15 setukpairinjR2 = 136.10/137.15 (![X2,X3,X4,X5]: 136.10/137.15 ((setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(X4,emptyset), 136.10/137.15 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 136.10/137.15 (X3 = X5))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairequniteq, axiom, upairequniteq <=> 136.10/137.15 (![Xx,Xy,Xz]: 136.10/137.15 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 136.10/137.15 (Xx = Xy)))). 136.10/137.15 tff('133', plain, 136.10/137.15 upairequniteq = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 ((setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X4,emptyset)) => 136.10/137.15 (X2 = X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 136.10/137.15 (![Xx,Xy,Xz,Xu]: 136.10/137.15 ((setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(Xz,emptyset), 136.10/137.15 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 136.10/137.15 ((Xz = Xu) => (Xy = Xu))))). 136.10/137.15 tff('134', plain, 136.10/137.15 setukpairinjR1 = 136.10/137.15 (![X2,X3,X4,X5]: 136.10/137.15 ((setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(X4,emptyset), 136.10/137.15 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 136.10/137.15 ((X4 = X5) => (X3 = X5)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 136.10/137.15 (![Xx,Xy]: 136.10/137.15 ((Xx = Xy) => 136.10/137.15 (setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 136.10/137.15 tff('135', plain, 136.10/137.15 setukpairinjR12 = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((X2 = X3) => 136.10/137.15 (setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(X2,emptyset),emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 136.10/137.15 (![Xx,Xy]: 136.10/137.15 ((Xx = Xy) => 136.10/137.15 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 136.10/137.15 tff('136', plain, 136.10/137.15 setukpairinjR11 = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((X2 = X3) => 136.10/137.15 (setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X2,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjL, axiom, setukpairinjL <=> 136.10/137.15 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 136.10/137.15 tff('137', plain, 136.10/137.15 setukpairinjL = 136.10/137.15 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X2 = X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 136.10/137.15 (![Xx,Xy,Xz,Xu]: 136.10/137.15 ((setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(Xz,emptyset), 136.10/137.15 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 136.10/137.15 (Xx = Xz)))). 136.10/137.15 tff('138', plain, 136.10/137.15 setukpairinjL2 = 136.10/137.15 (![X2,X3,X4,X5]: 136.10/137.15 ((setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 136.10/137.15 setadjoin(setadjoin(X4,emptyset), 136.10/137.15 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 136.10/137.15 (X2 = X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodfstin, axiom, cartprodfstin <=> 136.10/137.15 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 136.10/137.15 tff('139', plain, 136.10/137.15 cartprodfstin = 136.10/137.15 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(kfst(X4),X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 136.10/137.15 tff('140', plain, kfstpairEq = (![X2,X3]: (kfst(kpair(X2,X3)) = X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 136.10/137.15 tff('141', plain, theprop = (![X2]: (singleton(X2) => in(setunion(X2),X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(kfstsingleton, axiom, kfstsingleton <=> 136.10/137.15 (![Xu]: 136.10/137.15 (iskpair(Xu) => 136.10/137.15 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 136.10/137.15 tff('142', plain, 136.10/137.15 kfstsingleton = 136.10/137.15 (![X2]: 136.10/137.15 (iskpair(X2) => 136.10/137.15 singleton(dsetconstr(setunion(X2), 136.10/137.15 ^[V_1]: in(setadjoin(V_1,emptyset),X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 136.10/137.15 (![Xx,Xy,Xz]: 136.10/137.15 (in(setadjoin(Xz,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 136.10/137.15 (Xx = Xz)))). 136.10/137.15 tff('143', plain, 136.10/137.15 setukpairinjL1 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(setadjoin(X4,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset))) => 136.10/137.15 (X2 = X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(singletonsuniq, axiom, singletonsuniq <=> 136.10/137.15 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 136.10/137.15 tff('144', plain, 136.10/137.15 singletonsuniq = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((setadjoin(X2,emptyset) = setadjoin(X3,emptyset)) => (X2 = X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ex1I2, axiom, ex1I2 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 136.10/137.15 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 136.10/137.15 tff('145', plain, 136.10/137.15 ex1I2 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((![X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 136.10/137.15 ((?[X6]: (X3(X6) & in(X6,X2))) => ex1(X2,^[V_1]: X3(V_1))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ex1I, axiom, ex1I <=> 136.10/137.15 (![A,Xphi:($i > $o),Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (Xphi(Xx) => 136.10/137.15 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 136.10/137.15 ex1(A,^[Xy]: Xphi(Xy))))))). 136.10/137.15 tff('146', plain, 136.10/137.15 ex1I = 136.10/137.15 (![X2,X3:($i > $o),X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (X3(X4) => 136.10/137.15 ((![X5]: (in(X5,X2) => (X3(X5) => (X5 = X4)))) => 136.10/137.15 ex1(X2,^[V_1]: X3(V_1)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ex1E1, axiom, ex1E1 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 136.10/137.15 tff('147', plain, 136.10/137.15 ex1E1 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 (ex1(X2,^[V_1]: X3(V_1)) => (?[X4]: (X3(X4) & in(X4,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(singletonprop, axiom, singletonprop <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 136.10/137.15 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 136.10/137.15 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 136.10/137.15 tff('148', plain, 136.10/137.15 singletonprop = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((![X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 136.10/137.15 ((?[X6]: (X3(X6) & in(X6,X2))) => 136.10/137.15 singleton(dsetconstr(X2,^[V_1]: X3(V_1)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setunionsingleton, axiom, setunionsingleton <=> 136.10/137.15 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 136.10/137.15 tff('149', plain, 136.10/137.15 setunionsingleton = (![X2]: (setunion(setadjoin(X2,emptyset)) = X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 136.10/137.15 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 136.10/137.15 tff('150', plain, 136.10/137.15 setunionsingleton2 = (![X2]: subset(X2,setunion(setadjoin(X2,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 136.10/137.15 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 136.10/137.15 tff('151', plain, 136.10/137.15 setunionsingleton1 = (![X2]: subset(setunion(setadjoin(X2,emptyset)),X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setunionE2, axiom, setunionE2 <=> 136.10/137.15 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 136.10/137.15 tff('152', plain, 136.10/137.15 setunionE2 = 136.10/137.15 (![X2,X3]: (in(X3,setunion(X2)) => (?[X4]: (in(X3,X4) & in(X4,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodmempair, axiom, cartprodmempair <=> 136.10/137.15 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 136.10/137.15 tff('153', plain, 136.10/137.15 cartprodmempair = (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => iskpair(X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 136.10/137.15 (![A,B,Xu]: 136.10/137.15 (in(Xu,cartprod(A,B)) => 136.10/137.15 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 136.10/137.15 tff('154', plain, 136.10/137.15 cartprodmempair1 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,cartprod(X2,X3)) => 136.10/137.15 (?[X5]: ((?[X6]: ((X4 = kpair(X5,X6)) & in(X6,X3))) & in(X5,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(cartprodpairin, axiom, cartprodpairin <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 136.10/137.15 tff('155', plain, 136.10/137.15 cartprodpairin = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => (![X5]: (in(X5,X3) => in(kpair(X4,X5),cartprod(X2,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 136.10/137.15 tff('156', plain, 136.10/137.15 ubforcartprodlem3 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X3) => in(kpair(X4,X5),powerset(powerset(binunion(X2,X3)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => 136.10/137.15 in(setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 136.10/137.15 emptyset)), 136.10/137.15 powerset(powerset(binunion(A,B))))))))). 136.10/137.15 tff('157', plain, 136.10/137.15 ubforcartprodlem2 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X3) => 136.10/137.15 in(setadjoin(setadjoin(X4,emptyset), 136.10/137.15 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 136.10/137.15 emptyset)), 136.10/137.15 powerset(powerset(binunion(X2,X3)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => 136.10/137.15 subset(setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 136.10/137.15 emptyset)), 136.10/137.15 powerset(binunion(A,B)))))))). 136.10/137.15 tff('158', plain, 136.10/137.15 ubforcartprodlem1 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X3) => 136.10/137.15 subset(setadjoin(setadjoin(X4,emptyset), 136.10/137.15 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 136.10/137.15 emptyset)), 136.10/137.15 powerset(binunion(X2,X3))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairinpowunion, axiom, upairinpowunion <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => 136.10/137.15 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 136.10/137.15 tff('159', plain, 136.10/137.15 upairinpowunion = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X3) => 136.10/137.15 in(setadjoin(X4,setadjoin(X5,emptyset)),powerset(binunion(X2,X3))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairsubunion, axiom, upairsubunion <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: 136.10/137.15 (in(Xy,B) => 136.10/137.15 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 136.10/137.15 tff('160', plain, 136.10/137.15 upairsubunion = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => 136.10/137.15 (![X5]: 136.10/137.15 (in(X5,X3) => 136.10/137.15 subset(setadjoin(X4,setadjoin(X5,emptyset)),binunion(X2,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairset2E, axiom, upairset2E <=> 136.10/137.15 (![Xx,Xy,Xz]: 136.10/137.15 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 136.10/137.15 tff('161', plain, 136.10/137.15 upairset2E = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 136.10/137.15 ((X4 = X3) | (X4 = X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(singletoninpowunion, axiom, singletoninpowunion <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 136.10/137.15 tff('162', plain, 136.10/137.15 singletoninpowunion = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,X2) => in(setadjoin(X4,emptyset),powerset(binunion(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(singletoninpowerset, axiom, singletoninpowerset <=> 136.10/137.15 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 136.10/137.15 tff('163', plain, 136.10/137.15 singletoninpowerset = 136.10/137.15 (![X2,X3]: (in(X3,X2) => in(setadjoin(X3,emptyset),powerset(X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(singletonsubset, axiom, singletonsubset <=> 136.10/137.15 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 136.10/137.15 tff('164', plain, 136.10/137.15 singletonsubset = 136.10/137.15 (![X2,X3]: (in(X3,X2) => subset(setadjoin(X3,emptyset),X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 136.10/137.15 tff('165', plain, kpairp = (![X2,X3]: iskpair(kpair(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(kpairiskpair, axiom, kpairiskpair <=> 136.10/137.15 (![Xx,Xy]: 136.10/137.15 iskpair(setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 136.10/137.15 emptyset))))). 136.10/137.15 tff('166', plain, 136.10/137.15 kpairiskpair = 136.10/137.15 (![X2,X3]: 136.10/137.15 iskpair(setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 136.10/137.15 emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairIR, axiom, setukpairIR <=> 136.10/137.15 (![Xx,Xy]: 136.10/137.15 in(Xy, 136.10/137.15 setunion(setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 136.10/137.15 emptyset)))))). 136.10/137.15 tff('167', plain, 136.10/137.15 setukpairIR = 136.10/137.15 (![X2,X3]: 136.10/137.15 in(X3, 136.10/137.15 setunion(setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 136.10/137.15 emptyset))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setukpairIL, axiom, setukpairIL <=> 136.10/137.15 (![Xx,Xy]: 136.10/137.15 in(Xx, 136.10/137.15 setunion(setadjoin(setadjoin(Xx,emptyset), 136.10/137.15 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 136.10/137.15 emptyset)))))). 136.10/137.15 tff('168', plain, 136.10/137.15 setukpairIL = 136.10/137.15 (![X2,X3]: 136.10/137.15 in(X2, 136.10/137.15 setunion(setadjoin(setadjoin(X2,emptyset), 136.10/137.15 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 136.10/137.15 emptyset))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(secondinupair, axiom, secondinupair <=> 136.10/137.15 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 136.10/137.15 tff('169', plain, 136.10/137.15 secondinupair = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 136.10/137.15 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 136.10/137.15 tff('170', plain, 136.10/137.15 symdiffIneg2 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 ((~in(X4,X2)) => ((~in(X4,X3)) => (~in(X4,symdiff(X2,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 136.10/137.15 tff('171', plain, 136.10/137.15 symdiffIneg1 = 136.10/137.15 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,symdiff(X2,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(symdiffI2, axiom, symdiffI2 <=> 136.10/137.15 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 136.10/137.15 tff('172', plain, 136.10/137.15 symdiffI2 = 136.10/137.15 (![X2,X3,X4]: ((~in(X4,X2)) => (in(X4,X3) => in(X4,symdiff(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(symdiffI1, axiom, symdiffI1 <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 136.10/137.15 tff('173', plain, 136.10/137.15 symdiffI1 = 136.10/137.15 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,symdiff(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(symdiffE, axiom, symdiffE <=> 136.10/137.15 (![A,B,Xx]: 136.10/137.15 (in(Xx,symdiff(A,B)) => 136.10/137.15 (![Xphi:$o]: 136.10/137.15 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 136.10/137.15 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 136.10/137.15 tff('174', plain, 136.10/137.15 symdiffE = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,symdiff(X2,X3)) => 136.10/137.15 (![X5:$o]: 136.10/137.15 ((in(X4,X2) => ((~in(X4,X3)) => X5)) => 136.10/137.15 (((~in(X4,X2)) => (in(X4,X3) => X5)) => X5))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusSubset1, axiom, setminusSubset1 <=> 136.10/137.15 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 136.10/137.15 tff('175', plain, 136.10/137.15 setminusSubset1 = 136.10/137.15 (![X2,X3]: ((setminus(X2,X3) = emptyset) => subset(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 136.10/137.15 tff('176', plain, setminusLsub = (![X2,X3]: subset(setminus(X2,X3),X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusIRneg, axiom, setminusIRneg <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 136.10/137.15 tff('177', plain, 136.10/137.15 setminusIRneg = (![X2,X3,X4]: (in(X4,X3) => (~in(X4,setminus(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusILneg, axiom, setminusILneg <=> 136.10/137.15 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 136.10/137.15 tff('178', plain, 136.10/137.15 setminusILneg = 136.10/137.15 (![X2,X3,X4]: ((~in(X4,X2)) => (~in(X4,setminus(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusELneg, axiom, setminusELneg <=> 136.10/137.15 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 136.10/137.15 tff('179', plain, 136.10/137.15 setminusELneg = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 ((~in(X4,setminus(X2,X3))) => ((~in(X4,X3)) => (~in(X4,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusERneg, axiom, setminusERneg <=> 136.10/137.15 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 136.10/137.15 tff('180', plain, 136.10/137.15 setminusERneg = 136.10/137.15 (![X2,X3,X4]: ((~in(X4,setminus(X2,X3))) => (in(X4,X2) => in(X4,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusSubset2, axiom, setminusSubset2 <=> 136.10/137.15 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 136.10/137.15 tff('181', plain, 136.10/137.15 setminusSubset2 = 136.10/137.15 (![X2,X3]: (subset(X2,X3) => (setminus(X2,X3) = emptyset))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusER, axiom, setminusER <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 136.10/137.15 tff('182', plain, 136.10/137.15 setminusER = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => (~in(X4,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusEL, axiom, setminusEL <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 136.10/137.15 tff('183', plain, 136.10/137.15 setminusEL = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => in(X4,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setminusI, axiom, setminusI <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 136.10/137.15 tff('184', plain, 136.10/137.15 setminusI = 136.10/137.15 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,setminus(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(bs114d, axiom, bs114d <=> 136.10/137.15 (![A,B,C]: 136.10/137.15 (binintersect(A,binunion(B,C)) = 136.10/137.15 binunion(binintersect(A,B),binintersect(A,C))))). 136.10/137.15 tff('185', plain, 136.10/137.15 bs114d = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (binintersect(X2,binunion(X3,X4)) = 136.10/137.15 binunion(binintersect(X2,X3),binintersect(X2,X4)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 136.10/137.15 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 136.10/137.15 tff('186', plain, 136.10/137.15 binintersectSubset1 = 136.10/137.15 (![X2,X3]: ((binintersect(X2,X3) = X2) => subset(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 136.10/137.15 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 136.10/137.15 tff('187', plain, 136.10/137.15 binintersectSubset4 = 136.10/137.15 (![X2,X3]: (subset(X3,X2) => (binintersect(X2,X3) = X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectRsub, axiom, binintersectRsub <=> 136.10/137.15 (![A,B]: subset(binintersect(A,B),B))). 136.10/137.15 tff('188', plain, 136.10/137.15 binintersectRsub = (![X2,X3]: subset(binintersect(X2,X3),X3)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 136.10/137.15 (![A,B]: 136.10/137.15 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 136.10/137.15 tff('189', plain, 136.10/137.15 disjointsetsI1 = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((~(?[X4]: (in(X4,X3) & in(X4,X2)))) => 136.10/137.15 (binintersect(X2,X3) = emptyset))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectER, axiom, binintersectER <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 136.10/137.15 tff('190', plain, 136.10/137.15 binintersectER = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 136.10/137.15 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 136.10/137.15 tff('191', plain, 136.10/137.15 binintersectSubset3 = 136.10/137.15 (![X2,X3]: ((binintersect(X2,X3) = X3) => subset(X3,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 136.10/137.15 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 136.10/137.15 tff('192', plain, 136.10/137.15 binintersectSubset2 = 136.10/137.15 (![X2,X3]: (subset(X2,X3) => (binintersect(X2,X3) = X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectLsub, axiom, binintersectLsub <=> 136.10/137.15 (![A,B]: subset(binintersect(A,B),A))). 136.10/137.15 tff('193', plain, 136.10/137.15 binintersectLsub = (![X2,X3]: subset(binintersect(X2,X3),X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectEL, axiom, binintersectEL <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 136.10/137.15 tff('194', plain, 136.10/137.15 binintersectEL = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 136.10/137.15 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 136.10/137.15 tff('195', plain, 136.10/137.15 binintersectSubset5 = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (subset(X4,X2) => (subset(X4,X3) => subset(X4,binintersect(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binintersectI, axiom, binintersectI <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 136.10/137.15 tff('196', plain, 136.10/137.15 binintersectI = 136.10/137.15 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 136.10/137.15 tff('197', plain, binunionRsub = (![X2,X3]: subset(X3,binunion(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 136.10/137.15 tff('198', plain, binunionLsub = (![X2,X3]: subset(X2,binunion(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionE, axiom, binunionE <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,B) | in(Xx,A))))). 136.10/137.15 tff('199', plain, 136.10/137.15 binunionE = 136.10/137.15 (![X2,X3,X4]: (in(X4,binunion(X2,X3)) => (in(X4,X3) | in(X4,X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionEcases, axiom, binunionEcases <=> 136.10/137.15 (![A,B,Xx,Xphi:$o]: 136.10/137.15 (in(Xx,binunion(A,B)) => 136.10/137.15 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 136.10/137.15 tff('200', plain, 136.10/137.15 binunionEcases = 136.10/137.15 (![X2,X3,X4,X5:$o]: 136.10/137.15 (in(X4,binunion(X2,X3)) => 136.10/137.15 ((in(X4,X2) => X5) => ((in(X4,X3) => X5) => X5)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionIR, axiom, binunionIR <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 136.10/137.15 tff('201', plain, 136.10/137.15 binunionIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,binunion(X2,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairset2IR, axiom, upairset2IR <=> 136.10/137.15 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 136.10/137.15 tff('202', plain, 136.10/137.15 upairset2IR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(binunionIL, axiom, binunionIL <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 136.10/137.15 tff('203', plain, 136.10/137.15 binunionIL = (![X2,X3,X4]: (in(X4,X2) => in(X4,binunion(X2,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(sepSubset, axiom, sepSubset <=> 136.10/137.15 (![A,Xphi:($i > $o)]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 136.10/137.15 tff('204', plain, 136.10/137.15 sepSubset = 136.10/137.15 (![X2,X3:($i > $o)]: subset(dsetconstr(X2,^[V_1]: X3(V_1)),X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(sepInPowerset, axiom, sepInPowerset <=> 136.10/137.15 (![A,Xphi:($i > $o)]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 136.10/137.15 tff('205', plain, 136.10/137.15 sepInPowerset = 136.10/137.15 (![X2,X3:($i > $o)]: in(dsetconstr(X2,^[V_1]: X3(V_1)),powerset(X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetsubset, axiom, powersetsubset <=> 136.10/137.15 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 136.10/137.15 tff('206', plain, 136.10/137.15 powersetsubset = 136.10/137.15 (![X2,X3]: (subset(X2,X3) => subset(powerset(X2),powerset(X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 136.10/137.15 tff('207', plain, inPowerset = (![X2]: in(X2,powerset(X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetE1, axiom, powersetE1 <=> 136.10/137.15 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 136.10/137.15 tff('208', plain, 136.10/137.15 powersetE1 = (![X2,X3]: (in(X3,powerset(X2)) => subset(X3,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetI1, axiom, powersetI1 <=> 136.10/137.15 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 136.10/137.15 tff('209', plain, 136.10/137.15 powersetI1 = (![X2,X3]: (subset(X3,X2) => in(X3,powerset(X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 136.10/137.15 (![A]: (subset(A,emptyset) => (A = emptyset)))). 136.10/137.15 tff('210', plain, 136.10/137.15 subsetemptysetimpeq = (![X2]: (subset(X2,emptyset) => (X2 = emptyset))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setextsub, axiom, setextsub <=> 136.10/137.15 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 136.10/137.15 tff('211', plain, 136.10/137.15 setextsub = (![X2,X3]: (subset(X2,X3) => (subset(X3,X2) => (X2 = X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subset2powerset, axiom, subset2powerset <=> 136.10/137.15 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 136.10/137.15 tff('212', plain, 136.10/137.15 subset2powerset = (![X2,X3]: (subset(X2,X3) => in(X2,powerset(X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 136.10/137.15 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 136.10/137.15 tff('213', plain, 136.10/137.15 setadjoinSub2 = 136.10/137.15 (![X2,X3,X4]: (subset(X2,X4) => subset(X2,setadjoin(X3,X4)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoinSub, axiom, setadjoinSub <=> 136.10/137.15 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 136.10/137.15 tff('214', plain, setadjoinSub = (![X2,X3]: subset(X3,setadjoin(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetTrans, axiom, subsetTrans <=> 136.10/137.15 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 136.10/137.15 tff('215', plain, 136.10/137.15 subsetTrans = 136.10/137.15 (![X2,X3,X4]: (subset(X2,X3) => (subset(X3,X4) => subset(X2,X4)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 136.10/137.15 tff('216', plain, subsetRefl = (![X2]: subset(X2,X2)), define([status(thm)])). 136.10/137.15 tff(notequalI2, axiom, notequalI2 <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 136.10/137.15 tff('217', plain, 136.10/137.15 notequalI2 = (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (X2 != X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 136.10/137.15 tff('218', plain, notequalI1 = (![X2,X3]: ((~subset(X2,X3)) => (X2 != X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(notsubsetI, axiom, notsubsetI <=> 136.10/137.15 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 136.10/137.15 tff('219', plain, 136.10/137.15 notsubsetI = 136.10/137.15 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (~subset(X2,X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetE2, axiom, subsetE2 <=> 136.10/137.15 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 136.10/137.15 tff('220', plain, 136.10/137.15 subsetE2 = 136.10/137.15 (![X2,X3,X4]: (subset(X2,X3) => ((~in(X4,X3)) => (~in(X4,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetE, axiom, subsetE <=> 136.10/137.15 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 136.10/137.15 tff('221', plain, 136.10/137.15 subsetE = (![X2,X3,X4]: (subset(X2,X3) => (in(X4,X2) => in(X4,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 136.10/137.15 tff('222', plain, emptysetsubset = (![X2]: subset(emptyset,X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetI2, axiom, subsetI2 <=> 136.10/137.15 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 136.10/137.15 tff('223', plain, 136.10/137.15 subsetI2 = 136.10/137.15 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 136.10/137.15 tff('224', plain, eqimpsubset1 = (![X2,X3]: ((X2 = X3) => subset(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 136.10/137.15 tff('225', plain, eqimpsubset2 = (![X2,X3]: ((X2 = X3) => subset(X3,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subsetI1, axiom, subsetI1 <=> 136.10/137.15 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 136.10/137.15 tff('226', plain, 136.10/137.15 subsetI1 = 136.10/137.15 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 136.10/137.15 (![A,B]: 136.10/137.15 ((A = B) => 136.10/137.15 (![Xphi:($i > $o),Xpsi:($i > $o)]: 136.10/137.15 ((![Xx]: 136.10/137.15 (in(Xx,A) => 136.10/137.15 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 136.10/137.15 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 136.10/137.15 tff('227', plain, 136.10/137.15 dsetconstr__Cong = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((X2 = X3) => 136.10/137.15 (![X4:($i > $o),X5:($i > $o)]: 136.10/137.15 ((![X6]: 136.10/137.15 (in(X6,X2) => 136.10/137.15 (![X7]: (in(X7,X3) => ((X6 = X7) => (X4(X6) <=> X5(X7))))))) => 136.10/137.15 (dsetconstr(X2,^[V_1]: X4(V_1)) = dsetconstr(X3,^[V_2]: X5(V_2))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(descr__Cong, axiom, descr__Cong <=> 136.10/137.15 (![Xphi:($i > $o),Xpsi:($i > $o)]: 136.10/137.15 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 136.10/137.15 (exu(^[Xx]: Xphi(Xx)) => 136.10/137.15 (exu(^[Xx]: Xpsi(Xx)) => 136.10/137.15 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 136.10/137.15 tff('228', plain, 136.10/137.15 descr__Cong = 136.10/137.15 (![X2:($i > $o),X3:($i > $o)]: 136.10/137.15 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 136.10/137.15 (exu(^[V_1]: X2(V_1)) => 136.10/137.15 (exu(^[V_2]: X3(V_2)) => 136.10/137.15 (descr(^[V_3]: X2(V_3)) = descr(^[V_4]: X3(V_4))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuEu, axiom, exuEu <=> 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 (exu(^[Xx]: Xphi(Xx)) => 136.10/137.15 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 136.10/137.15 tff('229', plain, 136.10/137.15 exuEu = 136.10/137.15 (![X2:($i > $o)]: 136.10/137.15 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 136.10/137.15 tff('230', plain, omega__Cong = (omega = omega), define([status(thm)])). 136.10/137.15 tff(setunion__Cong, axiom, setunion__Cong <=> 136.10/137.15 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 136.10/137.15 tff('231', plain, 136.10/137.15 setunion__Cong = (![X2,X3]: ((X2 = X3) => (setunion(X2) = setunion(X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powerset__Cong, axiom, powerset__Cong <=> 136.10/137.15 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 136.10/137.15 tff('232', plain, 136.10/137.15 powerset__Cong = (![X2,X3]: ((X2 = X3) => (powerset(X2) = powerset(X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 136.10/137.15 (![Xx,Xy]: 136.10/137.15 ((Xx = Xy) => 136.10/137.15 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 136.10/137.15 tff('233', plain, 136.10/137.15 setadjoin__Cong = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((X2 = X3) => 136.10/137.15 (![X4,X5]: ((X4 = X5) => (setadjoin(X2,X4) = setadjoin(X3,X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 136.10/137.15 tff('234', plain, emptyset__Cong = (emptyset = emptyset), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exu__Cong, axiom, exu__Cong <=> 136.10/137.15 (![Xphi:($i > $o),Xpsi:($i > $o)]: 136.10/137.15 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 136.10/137.15 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 136.10/137.15 tff('235', plain, 136.10/137.15 exu__Cong = 136.10/137.15 (![X2:($i > $o),X3:($i > $o)]: 136.10/137.15 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 136.10/137.15 (exu(^[V_1]: X2(V_1)) <=> exu(^[V_2]: X3(V_2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuE3u, axiom, exuE3u <=> 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 (exu(^[Xx]: Xphi(Xx)) => 136.10/137.15 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 136.10/137.15 tff('236', plain, 136.10/137.15 exuE3u = 136.10/137.15 (![X2:($i > $o)]: 136.10/137.15 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(in__Cong, axiom, in__Cong <=> 136.10/137.15 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 136.10/137.15 tff('237', plain, 136.10/137.15 in__Cong = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) <=> in(X5,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(inCongP, axiom, inCongP <=> 136.10/137.15 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 136.10/137.15 tff('238', plain, 136.10/137.15 inCongP = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) => in(X5,X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuI2, axiom, exuI2 <=> 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 136.10/137.15 tff('239', plain, 136.10/137.15 exuI2 = 136.10/137.15 (![X2:($i > $o)]: 136.10/137.15 ((?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))) => exu(^[V_1]: X2(V_1)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuI3, axiom, exuI3 <=> 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 ((?[Xx]: Xphi(Xx)) => 136.10/137.15 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 136.10/137.15 exu(^[Xx]: Xphi(Xx)))))). 136.10/137.15 tff('240', plain, 136.10/137.15 exuI3 = 136.10/137.15 (![X2:($i > $o)]: 136.10/137.15 ((?[X3]: X2(X3)) => 136.10/137.15 ((![X4,X5]: (X2(X4) => (X2(X5) => (X4 = X5)))) => 136.10/137.15 exu(^[V_1]: X2(V_1))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuI1, axiom, exuI1 <=> 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 136.10/137.15 exu(^[Xx]: Xphi(Xx))))). 136.10/137.15 tff('241', plain, 136.10/137.15 exuI1 = 136.10/137.15 (![X2:($i > $o)]: 136.10/137.15 ((?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))) => 136.10/137.15 exu(^[V_1]: X2(V_1)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(notdallE, axiom, notdallE <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 136.10/137.15 tff('242', plain, 136.10/137.15 notdallE = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(notdexE, axiom, notdexE <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 136.10/137.15 tff('243', plain, 136.10/137.15 notdexE = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(prop2set2propI, axiom, prop2set2propI <=> 136.10/137.15 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 136.10/137.15 tff('244', plain, 136.10/137.15 prop2set2propI = (![X2:$o]: (X2 => set2prop(prop2set(X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(prop2setI, axiom, prop2setI <=> 136.10/137.15 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 136.10/137.15 tff('245', plain, prop2setI = (![X2:$o]: (X2 => in(emptyset,prop2set(X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 136.10/137.15 tff('246', plain, 136.10/137.15 quantDeMorgan4 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((?[X4]: ((~X3(X4)) & in(X4,X2))) => (~(![X5]: (in(X5,X2) => X3(X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 136.10/137.15 tff('247', plain, 136.10/137.15 quantDeMorgan3 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 136.10/137.15 tff('248', plain, 136.10/137.15 quantDeMorgan2 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((![X4]: (in(X4,X2) => (~X3(X4)))) => (~(?[X5]: (X3(X5) & in(X5,X2)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 136.10/137.15 tff('249', plain, 136.10/137.15 quantDeMorgan1 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(vacuousDall, axiom, vacuousDall <=> 136.10/137.15 (![Xphi:($i > $o),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 136.10/137.15 tff('250', plain, 136.10/137.15 vacuousDall = (![X2:($i > $o),X3]: (in(X3,emptyset) => X2(X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptyE1, axiom, emptyE1 <=> 136.10/137.15 (![A,Xphi:($i > $o)]: 136.10/137.15 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 136.10/137.15 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 136.10/137.15 tff('251', plain, 136.10/137.15 emptyE1 = 136.10/137.15 (![X2,X3:($i > $o)]: 136.10/137.15 ((?[X4]: (X3(X4) & in(X4,X2))) => 136.10/137.15 ((dsetconstr(X2,^[V_1]: X3(V_1)) = emptyset) => $false))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairsetIR, axiom, upairsetIR <=> 136.10/137.15 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 136.10/137.15 tff('252', plain, 136.10/137.15 upairsetIR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairsetIL, axiom, upairsetIL <=> 136.10/137.15 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 136.10/137.15 tff('253', plain, 136.10/137.15 upairsetIL = (![X2,X3]: in(X2,setadjoin(X2,setadjoin(X3,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(upairsetE, axiom, upairsetE <=> 136.10/137.15 (![Xx,Xy,Xz]: 136.10/137.15 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 136.10/137.15 tff('254', plain, 136.10/137.15 upairsetE = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 136.10/137.15 ((X4 = X3) | (X4 = X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(singletonsswitch, axiom, singletonsswitch <=> 136.10/137.15 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 136.10/137.15 tff('255', plain, 136.10/137.15 singletonsswitch = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X2,setadjoin(X3,emptyset)) => in(X3,setadjoin(X2,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(eqinunit, axiom, eqinunit <=> 136.10/137.15 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 136.10/137.15 tff('256', plain, 136.10/137.15 eqinunit = (![X2,X3]: ((X2 = X3) => in(X2,setadjoin(X3,emptyset)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(notinsingleton, axiom, notinsingleton <=> 136.10/137.15 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 136.10/137.15 tff('257', plain, 136.10/137.15 notinsingleton = 136.10/137.15 (![X2,X3]: ((X2 != X3) => (~in(X3,setadjoin(X2,emptyset))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(uniqinunit, axiom, uniqinunit <=> 136.10/137.15 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 136.10/137.15 tff('258', plain, 136.10/137.15 uniqinunit = (![X2,X3]: (in(X2,setadjoin(X3,emptyset)) => (X2 = X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 136.10/137.15 (![A]: (nonempty(A) => (?[Xx]: (in(Xx,A)))))). 136.10/137.15 tff('259', plain, 136.10/137.15 nonemptyImpWitness = (![X2]: (nonempty(X2) => (?[X3]: (in(X3,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuE2, axiom, exuE2 <=> 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 136.10/137.15 tff('260', plain, 136.10/137.15 exuE2 = 136.10/137.15 (![X2:($i > $o)]: 136.10/137.15 (exu(^[V_1]: X2(V_1)) => (?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(subPowSU, axiom, subPowSU <=> 136.10/137.15 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 136.10/137.15 tff('261', plain, 136.10/137.15 subPowSU = (![X2,X3]: (in(X3,X2) => in(X3,powerset(setunion(X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setunionE, axiom, setunionE <=> 136.10/137.15 (![A,Xx]: 136.10/137.15 (in(Xx,setunion(A)) => 136.10/137.15 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 136.10/137.15 tff('262', plain, 136.10/137.15 setunionE = 136.10/137.15 (![X2,X3]: 136.10/137.15 (in(X3,setunion(X2)) => 136.10/137.15 (![X4:$o]: ((![X5]: (in(X3,X5) => (in(X5,X2) => X4))) => X4)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setunionI, axiom, setunionI <=> 136.10/137.15 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 136.10/137.15 tff('263', plain, 136.10/137.15 setunionI = 136.10/137.15 (![X2,X3,X4]: (in(X3,X4) => (in(X4,X2) => in(X3,setunion(X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetE, axiom, powersetE <=> 136.10/137.15 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 136.10/137.15 tff('264', plain, 136.10/137.15 powersetE = 136.10/137.15 (![X2,X3,X4]: (in(X3,powerset(X2)) => (in(X4,X3) => in(X4,X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptyInPowerset, axiom, emptyInPowerset <=> 136.10/137.15 (![A]: in(emptyset,powerset(A)))). 136.10/137.15 tff('265', plain, emptyInPowerset = (![X2]: in(emptyset,powerset(X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptyinPowerset, axiom, emptyinPowerset <=> 136.10/137.15 (![A]: in(emptyset,powerset(A)))). 136.10/137.15 tff('266', plain, emptyinPowerset = (![X2]: in(emptyset,powerset(X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetI, axiom, powersetI <=> 136.10/137.15 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 136.10/137.15 tff('267', plain, 136.10/137.15 powersetI = 136.10/137.15 (![X2,X3]: ((![X4]: (in(X4,X3) => in(X4,X2))) => in(X3,powerset(X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setoftrueEq, axiom, setoftrueEq <=> 136.10/137.15 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 136.10/137.15 tff('268', plain, setoftrueEq = (![X2]: (dsetconstr(X2,^[V_1]: $true) = X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoinOr, axiom, setadjoinOr <=> 136.10/137.15 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => (in(Xy,A) | (Xy = Xx))))). 136.10/137.15 tff('269', plain, 136.10/137.15 setadjoinOr = 136.10/137.15 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) => (in(X4,X3) | (X4 = X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoinE, axiom, setadjoinE <=> 136.10/137.15 (![Xx,A,Xy]: 136.10/137.15 (in(Xy,setadjoin(Xx,A)) => 136.10/137.15 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 136.10/137.15 tff('270', plain, 136.10/137.15 setadjoinE = 136.10/137.15 (![X2,X3,X4]: 136.10/137.15 (in(X4,setadjoin(X2,X3)) => 136.10/137.15 (![X5:$o]: (((X4 = X2) => X5) => ((in(X4,X3) => X5) => X5))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoinIR, axiom, setadjoinIR <=> 136.10/137.15 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 136.10/137.15 tff('271', plain, 136.10/137.15 setadjoinIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,setadjoin(X2,X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptyinunitempty, axiom, emptyinunitempty() = 136.10/137.15 in(emptyset,setadjoin(emptyset,emptyset))). 136.10/137.15 tff('272', plain, 136.10/137.15 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 136.10/137.15 tff('273', plain, setadjoinIL = (![X2,X3]: in(X2,setadjoin(X2,X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(nonemptyI1, axiom, nonemptyI1 <=> 136.10/137.15 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 136.10/137.15 tff('274', plain, nonemptyI1 = (![X2]: ((?[X3]: in(X3,X2)) => nonempty(X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(nonemptyI, axiom, nonemptyI <=> 136.10/137.15 (![A,Xphi:($i > $o),Xx]: 136.10/137.15 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 136.10/137.15 tff('275', plain, 136.10/137.15 nonemptyI = 136.10/137.15 (![X2,X3:($i > $o),X4]: 136.10/137.15 (in(X4,X2) => (X3(X4) => nonempty(dsetconstr(X2,^[V_1]: X3(V_1)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(nonemptyE1, axiom, nonemptyE1 <=> 136.10/137.15 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 136.10/137.15 tff('276', plain, nonemptyE1 = (![X2]: (nonempty(X2) => (?[X3]: in(X3,X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 136.10/137.15 tff('277', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setbeta, axiom, setbeta <=> 136.10/137.15 (![A,Xphi:($i > $o),Xx]: 136.10/137.15 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 136.10/137.15 tff('278', plain, 136.10/137.15 setbeta = 136.10/137.15 (![X2,X3:($i > $o),X4]: 136.10/137.15 (in(X4,X2) => (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) <=> X3(X4)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(noeltsimpempty, axiom, noeltsimpempty <=> 136.10/137.15 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 136.10/137.15 tff('279', plain, 136.10/137.15 noeltsimpempty = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptyI, axiom, emptyI <=> 136.10/137.15 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 136.10/137.15 tff('280', plain, 136.10/137.15 emptyI = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setext, axiom, setext <=> 136.10/137.15 (![A,B]: 136.10/137.15 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 136.10/137.15 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 136.10/137.15 tff('281', plain, 136.10/137.15 setext = 136.10/137.15 (![X2,X3]: 136.10/137.15 ((![X4]: (in(X4,X2) => in(X4,X3))) => 136.10/137.15 ((![X5]: (in(X5,X3) => in(X5,X2))) => (X2 = X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuE3e, axiom, exuE3e <=> 136.10/137.15 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 136.10/137.15 tff('282', plain, 136.10/137.15 exuE3e = (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => (?[X3]: X2(X3)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 136.10/137.15 tff('283', plain, notinemptyset = (![X2]: (~in(X2,emptyset))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 136.10/137.15 (![Xx]: (in(Xx,emptyset) => $false))). 136.10/137.15 tff('284', plain, emptysetimpfalse = (![X2]: (in(X2,emptyset) => $false)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptysetE, axiom, emptysetE <=> 136.10/137.15 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 136.10/137.15 tff('285', plain, emptysetE = (![X2]: (in(X2,emptyset) => (![X3:$o]: X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(prop2setE, axiom, prop2setE <=> 136.10/137.15 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 136.10/137.15 tff('286', plain, prop2setE = (![X2:$o,X3]: (in(X3,prop2set(X2)) => X2)), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exuE1, axiom, exuE1 <=> 136.10/137.15 (![Xphi:($i > $o)]: 136.10/137.15 (exu(^[Xx]: Xphi(Xx)) => 136.10/137.15 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 136.10/137.15 tff('287', plain, 136.10/137.15 exuE1 = 136.10/137.15 (![X2:($i > $o)]: 136.10/137.15 (exu(^[V_1]: X2(V_1)) => 136.10/137.15 (?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dsetconstrER, axiom, dsetconstrER <=> 136.10/137.15 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 136.10/137.15 tff('288', plain, 136.10/137.15 dsetconstrER = 136.10/137.15 (![X2,X3:($i > $o),X4]: (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => X3(X4))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dsetconstrEL, axiom, dsetconstrEL <=> 136.10/137.15 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 136.10/137.15 tff('289', plain, 136.10/137.15 dsetconstrEL = 136.10/137.15 (![X2,X3:($i > $o),X4]: 136.10/137.15 (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => in(X4,X2))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(dsetconstrI, axiom, dsetconstrI <=> 136.10/137.15 (![A,Xphi:($i > $o),Xx]: 136.10/137.15 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 136.10/137.15 tff('290', plain, 136.10/137.15 dsetconstrI = 136.10/137.15 (![X2,X3:($i > $o),X4]: 136.10/137.15 (in(X4,X2) => (X3(X4) => in(X4,dsetconstr(X2,^[V_1]: X3(V_1)))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(descrp, axiom, descrp <=> 136.10/137.15 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 136.10/137.15 tff('291', plain, 136.10/137.15 descrp = 136.10/137.15 (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => X2(descr(^[V_2]: X2(V_2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(wellorderingAx, axiom, wellorderingAx <=> 136.10/137.15 (![A]: 136.10/137.15 (?[B]: 136.10/137.15 ((![C]: 136.10/137.15 (((?[Xx]: in(Xx,C)) & (![Xx]: (in(Xx,C) => in(Xx,A)))) => 136.10/137.15 (?[D,Xx]: 136.10/137.15 ((![E]: 136.10/137.15 (in(E,B) => (in(Xx,E) | (![Xy]: (in(Xy,E) => in(Xy,D)))))) & 136.10/137.15 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 136.10/137.15 (![C,D]: 136.10/137.15 ((in(D,B) & in(C,B)) => 136.10/137.15 ((![Xx]: (in(Xx,D) => in(Xx,C))) | 136.10/137.15 (![Xx]: (in(Xx,C) => in(Xx,D)))))) & 136.10/137.15 (![Xx,Xy]: 136.10/137.15 ((in(Xy,A) & in(Xx,A)) => 136.10/137.15 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 136.10/137.15 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 136.10/137.15 tff('292', plain, 136.10/137.15 wellorderingAx = 136.10/137.15 (![X2]: 136.10/137.15 (?[X3]: 136.10/137.15 ((![X4]: 136.10/137.15 (((?[X5]: in(X5,X4)) & (![X6]: (in(X6,X4) => in(X6,X2)))) => 136.10/137.15 (?[X7,X8]: 136.10/137.15 ((![X9]: 136.10/137.15 (in(X9,X3) => 136.10/137.15 (in(X8,X9) | (![X10]: (in(X10,X9) => in(X10,X7)))))) & 136.10/137.15 (~(?[X11]: (in(X11,X4) & in(X11,X7)))) & in(X8,X4) & 136.10/137.15 in(X7,X3))))) & 136.10/137.15 (![X12,X13]: 136.10/137.15 ((in(X13,X3) & in(X12,X3)) => 136.10/137.15 ((![X14]: (in(X14,X13) => in(X14,X12))) | 136.10/137.15 (![X15]: (in(X15,X12) => in(X15,X13)))))) & 136.10/137.15 (![X16,X17]: 136.10/137.15 ((in(X17,X2) & in(X16,X2)) => 136.10/137.15 ((![X18]: (in(X18,X3) => (in(X16,X18) <=> in(X17,X18)))) => 136.10/137.15 (X16 = X17)))) & 136.10/137.15 (![X19]: (in(X19,X3) => (![X20]: (in(X20,X19) => in(X20,X2)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(foundationAx, axiom, foundationAx <=> 136.10/137.15 (![A]: 136.10/137.15 ((?[Xx]: in(Xx,A)) => 136.10/137.15 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 136.10/137.15 tff('293', plain, 136.10/137.15 foundationAx = 136.10/137.15 (![X2]: 136.10/137.15 ((?[X3]: in(X3,X2)) => 136.10/137.15 (?[X4]: ((~(?[X5]: (in(X5,X2) & in(X5,X4)))) & in(X4,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(replAx, axiom, replAx <=> 136.10/137.15 (![Xphi:(($i * $i) > $o),A]: 136.10/137.15 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 136.10/137.15 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 136.10/137.15 tff('294', plain, 136.10/137.15 replAx = 136.10/137.15 (![X2:(($i * $i) > $o),X3]: 136.10/137.15 ((![X4]: (in(X4,X3) => exu(^[V_1]: X2(X4,V_1)))) => 136.10/137.15 (?[X5]: (![X6]: (in(X6,X5) <=> (?[X7]: (X2(X7,X6) & in(X7,X3)))))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(omegaIndAx, axiom, omegaIndAx <=> 136.10/137.15 (![A]: 136.10/137.15 (((![Xx]: ((in(Xx,A) & in(Xx,omega)) => in(setadjoin(Xx,Xx),A))) & 136.10/137.15 in(emptyset,A)) => 136.10/137.15 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 136.10/137.15 tff('295', plain, 136.10/137.15 omegaIndAx = 136.10/137.15 (![X2]: 136.10/137.15 (((![X3]: ((in(X3,X2) & in(X3,omega)) => in(setadjoin(X3,X3),X2))) & 136.10/137.15 in(emptyset,X2)) => 136.10/137.15 (![X4]: (in(X4,omega) => in(X4,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(omegaSAx, axiom, omegaSAx <=> 136.10/137.15 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 136.10/137.15 tff('296', plain, 136.10/137.15 omegaSAx = (![X2]: (in(X2,omega) => in(setadjoin(X2,X2),omega))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 136.10/137.15 tff('297', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 136.10/137.15 tff(setunionAx, axiom, setunionAx <=> 136.10/137.15 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 136.10/137.15 tff('298', plain, 136.10/137.15 setunionAx = 136.10/137.15 (![X2,X3]: (in(X3,setunion(X2)) <=> (?[X4]: (in(X4,X2) & in(X3,X4))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(powersetAx, axiom, powersetAx <=> 136.10/137.15 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 136.10/137.15 tff('299', plain, 136.10/137.15 powersetAx = 136.10/137.15 (![X2,X3]: (in(X3,powerset(X2)) <=> (![X4]: (in(X4,X3) => in(X4,X2))))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setadjoinAx, axiom, setadjoinAx <=> 136.10/137.15 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> (in(Xy,A) | (Xy = Xx))))). 136.10/137.15 tff('300', plain, 136.10/137.15 setadjoinAx = 136.10/137.15 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) <=> (in(X4,X3) | (X4 = X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 136.10/137.15 tff('301', plain, emptysetAx = (![X2]: (~in(X2,emptyset))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(setextAx, axiom, setextAx <=> 136.10/137.15 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 136.10/137.15 tff('302', plain, 136.10/137.15 setextAx = (![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(exu, axiom, exu() = 136.10/137.15 ^[Xphi:($i > $o)]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 136.10/137.15 tff('303', plain, 136.10/137.15 exu = 136.10/137.15 (^[V_1:($i > $o)]: (?[X2]: ((![X3]: (V_1(X3) => (X2 = X3))) & V_1(X2)))), 136.10/137.15 define([status(thm)])). 136.10/137.15 tff(breln1unionE, conjecture, 136.10/137.15 (setextAx => 136.10/137.15 (emptysetAx => 136.10/137.15 (setadjoinAx => 136.10/137.15 (powersetAx => 136.10/137.15 (setunionAx => 136.10/137.15 (omega0Ax => 136.10/137.15 (omegaSAx => 136.10/137.15 (omegaIndAx => 136.10/137.15 (replAx => 136.10/137.15 (foundationAx => 136.10/137.15 (wellorderingAx => 136.10/137.15 (descrp => 136.10/137.15 (dsetconstrI => 136.10/137.15 (dsetconstrEL => 136.10/137.15 (dsetconstrER => 136.10/137.15 (exuE1 => 136.10/137.15 (prop2setE => 136.10/137.15 (emptysetE => 136.10/137.15 (emptysetimpfalse => 136.10/137.15 (notinemptyset => 136.10/137.15 (exuE3e => 136.10/137.15 (setext => 136.10/137.15 (emptyI => 136.10/137.15 (noeltsimpempty => 136.10/137.15 (setbeta => 136.10/137.15 (nonemptyE1 => 136.10/137.15 (nonemptyI => 136.10/137.15 (nonemptyI1 => 136.10/137.15 (setadjoinIL => 136.10/137.15 (emptyinunitempty => 136.10/137.15 (setadjoinIR => 136.10/137.15 (setadjoinE => 136.10/137.15 (setadjoinOr => 136.10/137.15 (setoftrueEq => 136.10/137.15 (powersetI => 136.10/137.15 (emptyinPowerset => 136.10/137.15 (emptyInPowerset => 136.10/137.15 (powersetE => 136.10/137.15 (setunionI => 136.10/137.15 (setunionE => 136.10/137.15 (subPowSU => 136.10/137.15 (exuE2 => 136.10/137.15 (nonemptyImpWitness => 136.10/137.15 (uniqinunit => 136.10/137.15 (notinsingleton => 136.10/137.15 (eqinunit => 136.10/137.15 (singletonsswitch => 136.10/137.15 (upairsetE => 136.10/137.15 (upairsetIL => 136.10/137.15 (upairsetIR => 136.10/137.15 (emptyE1 => 136.10/137.15 (vacuousDall => 136.10/137.15 (quantDeMorgan1 => 136.10/137.15 (quantDeMorgan2 => 136.10/137.15 (quantDeMorgan3 => 136.10/137.15 (quantDeMorgan4 => 136.10/137.15 (prop2setI => 136.10/137.15 (prop2set2propI => 136.10/137.15 (notdexE => 136.10/137.15 (notdallE => 136.10/137.15 (exuI1 => 136.10/137.15 (exuI3 => 136.10/137.15 (exuI2 => 136.10/137.15 (inCongP => 136.10/137.15 (in__Cong => 136.10/137.15 (exuE3u => 136.10/137.15 ( 136.10/137.15 exu__Cong => 136.10/137.15 ( 136.10/137.15 emptyset__Cong => 136.10/137.15 ( 136.10/137.15 setadjoin__Cong => 136.10/137.15 ( 136.10/137.15 powerset__Cong => 136.10/137.15 ( 136.10/137.15 setunion__Cong => 136.10/137.15 ( 136.10/137.15 omega__Cong => 136.10/137.15 ( 136.10/137.15 exuEu => 136.10/137.15 ( 136.10/137.15 descr__Cong => 136.10/137.15 ( 136.10/137.15 dsetconstr__Cong => 136.10/137.15 ( 136.10/137.15 subsetI1 => 136.10/137.15 ( 136.10/137.15 eqimpsubset2 => 136.10/137.15 ( 136.10/137.15 eqimpsubset1 => 136.10/137.15 ( 136.10/137.15 subsetI2 => 136.10/137.15 ( 136.10/137.15 emptysetsubset => 136.10/137.15 ( 136.10/137.15 subsetE => 136.10/137.15 ( 136.10/137.15 subsetE2 => 136.10/137.15 ( 136.10/137.15 notsubsetI => 136.10/137.15 ( 136.10/137.15 notequalI1 => 136.10/137.15 ( 136.10/137.15 notequalI2 => 136.10/137.15 ( 136.10/137.15 subsetRefl => 136.10/137.15 ( 136.10/137.15 subsetTrans => 136.10/137.15 ( 136.10/137.15 setadjoinSub => 136.10/137.15 ( 136.10/137.15 setadjoinSub2 => 136.10/137.15 ( 136.10/137.15 subset2powerset => 136.10/137.15 ( 136.10/137.15 setextsub => 136.10/137.15 ( 136.10/137.15 subsetemptysetimpeq => 136.10/137.15 ( 136.10/137.15 powersetI1 => 136.10/137.15 ( 136.10/137.15 powersetE1 => 136.10/137.15 ( 136.10/137.15 inPowerset => 136.10/137.15 ( 136.10/137.15 powersetsubset => 136.10/137.15 ( 136.10/137.15 sepInPowerset => 136.10/137.15 ( 136.10/137.15 sepSubset => 136.10/137.15 ( 136.10/137.15 binunionIL => 136.10/137.15 ( 136.10/137.15 upairset2IR => 136.10/137.15 ( 136.10/137.15 binunionIR => 136.10/137.15 ( 136.10/137.15 binunionEcases => 136.10/137.15 ( 136.10/137.15 binunionE => 136.10/137.15 ( 136.10/137.15 binunionLsub => 136.10/137.15 ( 136.10/137.15 binunionRsub => 136.10/137.15 ( 136.10/137.15 binintersectI => 136.10/137.15 ( 136.10/137.15 binintersectSubset5 => 136.10/137.15 ( 136.10/137.15 binintersectEL => 136.10/137.15 ( 136.10/137.15 binintersectLsub => 136.10/137.15 ( 136.10/137.15 binintersectSubset2 => 136.10/137.15 ( 136.10/137.15 binintersectSubset3 => 136.10/137.15 ( 136.10/137.15 binintersectER => 136.10/137.15 ( 136.10/137.15 disjointsetsI1 => 136.10/137.15 ( 136.10/137.15 binintersectRsub => 136.10/137.15 ( 136.10/137.15 binintersectSubset4 => 136.10/137.15 ( 136.10/137.15 binintersectSubset1 => 136.10/137.15 ( 136.10/137.15 bs114d => 136.10/137.15 ( 136.10/137.16 setminusI => 136.10/137.16 ( 136.10/137.16 setminusEL => 136.10/137.16 ( 136.10/137.16 setminusER => 136.10/137.16 ( 136.10/137.16 setminusSubset2 => 136.10/137.16 ( 136.10/137.16 setminusERneg => 136.10/137.16 ( 136.10/137.16 setminusELneg => 136.10/137.16 ( 136.10/137.16 setminusILneg => 136.10/137.16 ( 136.10/137.16 setminusIRneg => 136.10/137.16 ( 136.10/137.16 setminusLsub => 136.10/137.16 ( 136.10/137.16 setminusSubset1 => 136.10/137.16 ( 136.10/137.16 symdiffE => 136.10/137.16 ( 136.10/137.16 symdiffI1 => 136.10/137.16 ( 136.10/137.16 symdiffI2 => 136.10/137.16 ( 136.10/137.16 symdiffIneg1 => 136.10/137.16 ( 136.10/137.16 symdiffIneg2 => 136.10/137.16 ( 136.10/137.16 secondinupair => 136.10/137.16 ( 136.10/137.16 setukpairIL => 136.10/137.16 ( 136.10/137.16 setukpairIR => 136.10/137.16 ( 136.10/137.16 kpairiskpair => 136.10/137.16 ( 136.10/137.16 kpairp => 136.10/137.16 ( 136.10/137.16 singletonsubset => 136.10/137.16 ( 136.10/137.16 singletoninpowerset => 136.10/137.16 ( 136.10/137.16 singletoninpowunion => 136.10/137.16 ( 136.10/137.16 upairset2E => 136.10/137.16 ( 136.10/137.16 upairsubunion => 136.10/137.16 ( 136.10/137.16 upairinpowunion => 136.10/137.16 ( 136.10/137.16 ubforcartprodlem1 => 136.10/137.16 ( 136.10/137.16 ubforcartprodlem2 => 136.10/137.16 ( 136.10/137.16 ubforcartprodlem3 => 136.10/137.16 ( 136.10/137.16 cartprodpairin => 136.10/137.16 ( 136.10/137.16 cartprodmempair1 => 136.10/137.16 ( 136.10/137.16 cartprodmempair => 136.10/137.16 ( 136.10/137.16 setunionE2 => 136.10/137.16 ( 136.10/137.16 setunionsingleton1 => 136.10/137.16 ( 136.10/137.16 setunionsingleton2 => 136.10/137.16 ( 136.10/137.16 setunionsingleton => 136.10/137.16 ( 136.10/137.16 singletonprop => 136.10/137.16 ( 136.10/137.16 ex1E1 => 136.10/137.16 ( 136.10/137.16 ex1I => 136.10/137.16 ( 136.10/137.16 ex1I2 => 136.10/137.16 ( 136.10/137.16 singletonsuniq => 136.10/137.16 ( 136.10/137.16 setukpairinjL1 => 136.10/137.16 ( 136.10/137.16 kfstsingleton => 136.10/137.16 ( 136.10/137.16 theprop => 136.10/137.16 ( 136.10/137.16 kfstpairEq => 136.10/137.16 ( 136.10/137.16 cartprodfstin => 136.10/137.16 ( 136.10/137.16 setukpairinjL2 => 136.10/137.16 ( 136.10/137.16 setukpairinjL => 136.10/137.16 ( 136.10/137.16 setukpairinjR11 => 136.10/137.16 ( 136.10/137.16 setukpairinjR12 => 136.10/137.16 ( 136.10/137.16 setukpairinjR1 => 136.10/137.16 ( 136.10/137.16 upairequniteq => 136.10/137.16 ( 136.10/137.16 setukpairinjR2 => 136.10/137.16 ( 136.10/137.16 setukpairinjR => 136.10/137.16 ( 136.10/137.16 ksndsingleton => 136.10/137.16 ( 136.10/137.16 ksndpairEq => 136.10/137.16 ( 136.10/137.16 kpairsurjEq => 136.10/137.16 ( 136.10/137.16 cartprodsndin => 136.10/137.16 ( 136.10/137.16 cartprodpairmemEL => 136.10/137.16 ( 136.10/137.16 cartprodpairmemER => 136.10/137.16 ( 136.10/137.16 cartprodmempaircEq => 136.10/137.16 ( 136.10/137.16 cartprodfstpairEq => 136.10/137.16 ( 136.10/137.16 cartprodsndpairEq => 136.10/137.16 ( 136.10/137.16 cartprodpairsurjEq => 136.10/137.16 ( 136.10/137.16 dpsetconstrI => 136.10/137.16 ( 136.10/137.16 dpsetconstrSub => 136.10/137.16 ( 136.10/137.16 setOfPairsIsBReln => 136.10/137.16 ( 136.10/137.16 dpsetconstrERa => 136.10/137.16 ( 136.10/137.16 dpsetconstrEL1 => 136.10/137.16 ( 136.10/137.16 dpsetconstrEL2 => 136.10/137.16 ( 136.10/137.16 dpsetconstrER => 136.10/137.16 ( 136.10/137.16 funcImageSingleton => 136.10/137.16 ( 136.10/137.16 apProp => 136.10/137.16 ( 136.10/137.16 app => 136.10/137.16 ( 136.10/137.16 infuncsetfunc => 136.10/137.16 ( 136.10/137.16 ap2p => 136.10/137.16 ( 136.10/137.16 funcinfuncset => 136.10/137.16 ( 136.10/137.16 lamProp => 136.10/137.16 ( 136.10/137.16 lamp => 136.10/137.16 ( 136.10/137.16 lam2p => 136.10/137.16 ( 136.10/137.16 brelnall1 => 136.10/137.16 ( 136.10/137.16 brelnall2 => 136.10/137.16 ( 136.10/137.16 ex1E2 => 136.10/137.16 ( 136.10/137.16 funcGraphProp1 => 136.10/137.16 ( 136.10/137.16 funcGraphProp3 => 136.10/137.16 ( 136.10/137.16 funcGraphProp2 => 136.10/137.16 ( 136.10/137.16 funcextLem => 136.10/137.16 ( 136.10/137.16 funcGraphProp4 => 136.10/137.16 ( 136.10/137.16 subbreln => 136.10/137.16 ( 136.10/137.16 eqbreln => 136.10/137.16 ( 136.10/137.16 funcext => 136.10/137.16 ( 136.10/137.16 funcext2 => 136.10/137.16 ( 136.10/137.16 ap2apEq1 => 136.10/137.16 ( 136.10/137.16 ap2apEq2 => 136.10/137.16 ( 136.10/137.16 beta1 => 136.10/137.16 ( 136.10/137.16 eta1 => 136.10/137.16 ( 136.10/137.16 lam2lamEq => 136.10/137.16 ( 136.10/137.16 beta2 => 136.10/137.16 ( 136.10/137.16 eta2 => 136.10/137.16 ( 136.10/137.16 iffalseProp1 => 136.10/137.16 ( 136.10/137.16 iffalseProp2 => 136.10/137.16 ( 136.10/137.16 iftrueProp1 => 136.10/137.16 ( 136.10/137.16 iftrueProp2 => 136.10/137.16 ( 136.10/137.16 ifSingleton => 136.10/137.16 ( 136.10/137.16 ifp => 136.10/137.16 ( 136.10/137.16 theeq => 136.10/137.16 ( 136.10/137.16 iftrue => 136.10/137.16 ( 136.10/137.16 iffalse => 136.10/137.16 ( 136.10/137.16 iftrueorfalse => 136.10/137.16 ( 136.10/137.16 binintersectT_lem => 136.10/137.16 ( 136.10/137.16 binunionT_lem => 136.10/137.16 ( 136.10/137.16 powersetT_lem => 136.10/137.16 ( 136.10/137.16 setminusT_lem => 136.10/137.16 ( 136.10/137.16 complementT_lem => 136.10/137.16 ( 136.10/137.16 setextT => 136.10/137.16 ( 136.10/137.16 subsetTI => 136.10/137.16 ( 136.10/137.16 powersetTI1 => 136.10/137.16 ( 136.10/137.16 powersetTE1 => 136.10/137.16 ( 136.10/137.16 complementTI1 => 136.10/137.16 ( 136.10/137.16 complementTE1 => 136.10/137.16 ( 136.10/137.16 binintersectTELcontra => 136.10/137.16 ( 136.10/137.16 binintersectTERcontra => 136.10/137.16 ( 136.10/137.16 contrasubsetT => 136.10/137.16 ( 136.10/137.16 contrasubsetT1 => 136.10/137.16 ( 136.10/137.16 contrasubsetT2 => 136.10/137.16 ( 136.10/137.16 contrasubsetT3 => 136.10/137.16 ( 136.10/137.16 doubleComplementI1 => 136.10/137.16 ( 136.10/137.16 doubleComplementE1 => 136.10/137.16 ( 136.10/137.16 doubleComplementSub1 => 136.10/137.16 ( 136.10/137.16 doubleComplementSub2 => 136.10/137.16 ( 136.10/137.16 doubleComplementEq => 136.10/137.16 ( 136.10/137.16 complementTnotintersectT => 136.10/137.16 ( 136.10/137.16 complementImpComplementIntersect => 136.10/137.16 ( 136.10/137.16 complementSubsetComplementIntersect => 136.10/137.16 ( 136.10/137.16 complementInPowersetComplementIntersect => 136.10/137.16 ( 136.10/137.16 contraSubsetComplement => 136.10/137.16 ( 136.10/137.16 complementTcontraSubset => 136.10/137.16 ( 136.10/137.16 binunionTILcontra => 136.10/137.16 ( 136.10/137.16 binunionTIRcontra => 136.10/137.16 ( 136.10/137.16 inIntersectImpInUnion => 136.10/137.16 ( 136.10/137.16 inIntersectImpInUnion2 => 136.10/137.16 ( 136.10/137.16 inIntersectImpInIntersectUnions => 136.10/137.16 ( 136.10/137.16 intersectInPowersetIntersectUnions => 136.10/137.16 ( 136.10/137.16 inComplementUnionImpNotIn1 => 136.10/137.16 ( 136.10/137.16 inComplementUnionImpInComplement1 => 136.10/137.16 ( 136.10/137.16 binunionTE => 136.10/137.16 ( 136.10/137.16 binunionTEcontra => 136.10/137.16 ( 136.10/137.16 demorgan2a1 => 136.10/137.16 ( 136.10/137.16 complementUnionInPowersetComplement => 136.10/137.16 ( 136.10/137.16 demorgan2a2 => 136.10/137.16 ( 136.10/137.16 demorgan1a => 136.10/137.16 ( 136.10/137.16 demorgan1b => 136.10/137.16 ( 136.10/137.16 demorgan1 => 136.10/137.16 ( 136.10/137.16 demorgan2a => 136.10/137.16 ( 136.10/137.16 demorgan2b2 => 136.10/137.16 ( 136.10/137.16 demorgan2b => 136.10/137.16 ( 136.10/137.16 demorgan2 => 136.10/137.16 ( 136.10/137.16 woz13rule0 => 136.10/137.16 ( 136.10/137.16 woz13rule1 => 136.10/137.16 ( 136.10/137.16 woz13rule2 => 136.10/137.16 ( 136.10/137.16 woz13rule3 => 136.10/137.16 ( 136.10/137.16 woz13rule4 => 136.10/137.16 ( 136.10/137.16 woz1_1 => 136.10/137.16 ( 136.10/137.16 woz1_2 => 136.10/137.16 ( 136.10/137.16 woz1_3 => 136.10/137.16 ( 136.10/137.16 woz1_4 => 136.10/137.16 ( 136.10/137.16 woz1_5 => 136.10/137.16 ( 136.10/137.16 breln1all2 => 136.10/137.16 ( 136.10/137.16 breln1SetBreln1 => 136.10/137.16 ( 136.10/137.16 choice2fnsingleton => 136.10/137.16 ( 136.10/137.16 setOfPairsIsBReln1 => 136.10/137.16 ( 136.10/137.16 breln1all1 => 136.10/137.16 ( 136.10/137.16 subbreln1 => 136.10/137.16 ( 136.10/137.16 eqbreln1 => 136.10/137.16 ( 136.10/137.16 breln1invprop => 136.10/137.16 ( 136.10/137.16 breln1invI => 136.10/137.16 ( 136.10/137.16 breln1invE => 136.10/137.16 ( 136.10/137.16 breln1compprop => 136.10/137.16 ( 136.10/137.16 breln1compI => 136.10/137.16 ( 136.10/137.16 breln1compE => 136.10/137.16 ( 136.10/137.16 breln1compEex => 136.10/137.16 ( 136.10/137.16 breln1unionprop => 136.10/137.16 ( 136.10/137.16 breln1unionIL => 136.10/137.16 ( 136.10/137.16 breln1unionIR => 136.10/137.16 ( 136.10/137.16 breln1unionI => 136.10/137.16 ( 136.10/137.16 ![A,R]: 136.10/137.16 (breln1( 136.10/137.16 A,R) => 136.10/137.16 (![S]: 136.10/137.16 (breln1( 136.10/137.16 A,S) => 136.10/137.16 (![Xx]: 136.10/137.16 (in(Xx,A) => 136.10/137.16 (![Xy]: 136.10/137.16 (in(Xy,A) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 Xx,Xy), 136.10/137.16 binunion( 136.10/137.16 R,S)) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 Xx,Xy),R) | 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 Xx,Xy),S)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 136.10/137.16 tff(zf_stmt_0, conjecture, 136.10/137.16 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 136.10/137.16 ((![X5]: (~in(X5,emptyset))) => 136.10/137.16 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> ((X8 = X6) | in(X8,X7)))) => 136.10/137.16 ((![X9,X10]: 136.10/137.16 (in(X10,powerset(X9)) <=> (![X11]: (in(X11,X10) => in(X11,X9))))) => 136.10/137.16 ((![X12,X13]: 136.10/137.16 (in(X13,setunion(X12)) <=> (?[X14]: (in(X13,X14) & in(X14,X12))))) => 136.10/137.16 (in(emptyset,omega) => 136.10/137.16 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 136.10/137.16 ((![X16]: 136.10/137.16 ((in(emptyset,X16) & 136.10/137.16 (![X17]: 136.10/137.16 ((in(X17,omega) & in(X17,X16)) => 136.10/137.16 in(setadjoin(X17,X17),X16)))) => 136.10/137.16 (![X18]: (in(X18,omega) => in(X18,X16))))) => 136.10/137.16 ((![X19:(($i * $i) > $o),X20]: 136.10/137.16 ((![X21]: 136.10/137.16 (in(X21,X20) => 136.10/137.16 (?[X22]: 136.10/137.16 (X19(X21,X22) & (![X23]: (X19(X21,X23) => (X22 = X23))))))) => 136.10/137.16 (?[X24]: 136.10/137.16 (![X25]: 136.10/137.16 (in(X25,X24) <=> (?[X26]: (in(X26,X20) & X19(X26,X25)))))))) => 136.10/137.16 ((![X27]: 136.10/137.16 ((?[X28]: in(X28,X27)) => 136.10/137.16 (?[X29]: 136.10/137.16 (in(X29,X27) & (~(?[X30]: (in(X30,X29) & in(X30,X27)))))))) => 136.10/137.16 ((![X31]: 136.10/137.16 (?[X32]: 136.10/137.16 ((![X48]: 136.10/137.16 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31))))) & 136.10/137.16 (![X45,X46]: 136.10/137.16 ((in(X45,X31) & in(X46,X31)) => 136.10/137.16 ((![X47]: 136.10/137.16 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 136.10/137.16 (X45 = X46)))) & 136.10/137.16 (![X41,X42]: 136.10/137.16 ((in(X41,X32) & in(X42,X32)) => 136.10/137.16 ((![X44]: (in(X44,X41) => in(X44,X42))) | 136.10/137.16 (![X43]: (in(X43,X42) => in(X43,X41)))))) & 136.10/137.16 (![X33]: 136.10/137.16 (((![X35]: (in(X35,X33) => in(X35,X31))) & 136.10/137.16 (?[X34]: in(X34,X33))) => 136.10/137.16 (?[X36,X37]: 136.10/137.16 (in(X36,X32) & in(X37,X33) & 136.10/137.16 (~(?[X40]: (in(X40,X36) & in(X40,X33)))) & 136.10/137.16 (![X38]: 136.10/137.16 (in(X38,X32) => 136.10/137.16 ((![X39]: (in(X39,X38) => in(X39,X36))) | 136.10/137.16 in(X37,X38))))))))))) => 136.10/137.16 ((![X50:($i > $o)]: 136.10/137.16 ((?[X51]: (X50(X51) & (![X52]: (X50(X52) => (X51 = X52))))) => 136.10/137.16 X50(descr(^[V_1]: X50(V_1))))) => 136.10/137.16 ((![X53,X54:($i > $o),X55]: 136.10/137.16 (in(X55,X53) => 136.10/137.16 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 136.10/137.16 ((![X56,X57:($i > $o),X58]: 136.10/137.16 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 136.10/137.16 ((![X59,X60:($i > $o),X61]: 136.10/137.16 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 136.10/137.16 ((![X62:($i > $o)]: 136.10/137.16 ((?[X63]: 136.10/137.16 (X62(X63) & (![X64]: (X62(X64) => (X63 = X64))))) => 136.10/137.16 (?[X65]: 136.10/137.16 (X62(X65) & (![X66]: (X62(X66) => (X65 = X66))))))) => 136.10/137.16 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 136.10/137.16 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 136.10/137.16 ((![X71]: (in(X71,emptyset) => $false)) => 136.10/137.16 ((![X72]: (~in(X72,emptyset))) => 136.10/137.16 ((![X73:($i > $o)]: 136.10/137.16 ((?[X74]: 136.10/137.16 (X73(X74) & (![X75]: (X73(X75) => (X74 = X75))))) => 136.10/137.16 (?[X76]: X73(X76)))) => 136.10/137.16 ((![X77,X78]: 136.10/137.16 ((![X79]: (in(X79,X77) => in(X79,X78))) => 136.10/137.16 ((![X80]: (in(X80,X78) => in(X80,X77))) => 136.10/137.16 (X77 = X78)))) => 136.10/137.16 ((![X81]: 136.10/137.16 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 136.10/137.16 ((![X83]: 136.10/137.16 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 136.10/137.16 ((![X85,X86:($i > $o),X87]: 136.10/137.16 (in(X87,X85) => 136.10/137.16 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 136.10/137.16 X86(X87)))) => 136.10/137.16 ((![X88]: 136.10/137.16 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 136.10/137.16 ((![X90,X91:($i > $o),X92]: 136.10/137.16 (in(X92,X90) => 136.10/137.16 (X91(X92) => 136.10/137.16 (dsetconstr(X90,^[V_6]: X91(V_6)) != 136.10/137.16 emptyset)))) => 136.10/137.16 ((![X93]: 136.10/137.16 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 136.10/137.16 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 136.10/137.16 (in(emptyset,setadjoin(emptyset,emptyset)) => 136.10/137.16 ((![X97,X98,X99]: 136.10/137.16 (in(X99,X98) => 136.10/137.16 in(X99,setadjoin(X97,X98)))) => 136.10/137.16 ((![X100,X101,X102]: 136.10/137.16 (in(X102,setadjoin(X100,X101)) => 136.10/137.16 (![X103:$o]: 136.10/137.16 (((X102 = X100) => X103) => 136.10/137.16 ((in(X102,X101) => X103) => X103))))) => 136.10/137.16 ((![X104,X105,X106]: 136.10/137.16 (in(X106,setadjoin(X104,X105)) => 136.10/137.16 ((X106 = X104) | in(X106,X105)))) => 136.10/137.16 ((![X107]: 136.10/137.16 (dsetconstr(X107,^[V_7]: $true) = X107)) => 136.10/137.16 ((![X108,X109]: 136.10/137.16 ((![X110]: 136.10/137.16 (in(X110,X109) => in(X110,X108))) => 136.10/137.16 in(X109,powerset(X108)))) => 136.10/137.16 ((![X111]: in(emptyset,powerset(X111))) => 136.10/137.16 ((![X112]: in(emptyset,powerset(X112))) => 136.10/137.16 ((![X113,X114,X115]: 136.10/137.16 (in(X114,powerset(X113)) => 136.10/137.16 (in(X115,X114) => in(X115,X113)))) => 136.10/137.16 ((![X116,X117,X118]: 136.10/137.16 (in(X117,X118) => 136.10/137.16 (in(X118,X116) => 136.10/137.16 in(X117,setunion(X116))))) => 136.10/137.16 ((![X119,X120]: 136.10/137.16 (in(X120,setunion(X119)) => 136.10/137.16 (![X121:$o]: 136.10/137.16 ((![X122]: 136.10/137.16 (in(X120,X122) => 136.10/137.16 (in(X122,X119) => X121))) => 136.10/137.16 X121)))) => 136.10/137.16 ((![X123,X124]: 136.10/137.16 (in(X124,X123) => 136.10/137.16 in(X124, 136.10/137.16 powerset(setunion(X123))))) => 136.10/137.16 ((![X125:($i > $o)]: 136.10/137.16 ((?[X126]: 136.10/137.16 (X125(X126) & 136.10/137.16 (![X127]: 136.10/137.16 (X125(X127) => 136.10/137.16 (X126 = X127))))) => 136.10/137.16 (?[X128]: 136.10/137.16 (![X129]: 136.10/137.16 (X125(X129) <=> 136.10/137.16 (X129 = X128)))))) => 136.10/137.16 ((![X130]: 136.10/137.16 ((X130 != emptyset) => 136.10/137.16 (?[X131]: in(X131,X130)))) => 136.10/137.16 ((![X132,X133]: 136.10/137.16 (in(X132, 136.10/137.16 setadjoin(X133,emptyset)) => 136.10/137.16 (X132 = X133))) => 136.10/137.16 ((![X134,X135]: 136.10/137.16 ((X134 != X135) => 136.10/137.16 (~ 136.10/137.16 in(X135, 136.10/137.16 setadjoin(X134, 136.10/137.16 emptyset))))) => 136.10/137.16 ((![X136,X137]: 136.10/137.16 ((X136 = X137) => 136.10/137.16 in(X136, 136.10/137.16 setadjoin(X137, 136.10/137.16 emptyset)))) => 136.10/137.16 ((![X138,X139]: 136.10/137.16 (in(X138, 136.10/137.16 setadjoin(X139, 136.10/137.16 emptyset)) => 136.10/137.16 in(X139, 136.10/137.16 setadjoin(X138, 136.10/137.16 emptyset)))) => 136.10/137.16 ((![X140,X141,X142]: 136.10/137.16 (in(X142, 136.10/137.16 setadjoin(X140, 136.10/137.16 setadjoin( 136.10/137.16 X141, 136.10/137.16 emptyset))) => 136.10/137.16 ((X142 = X140) | 136.10/137.16 (X142 = X141)))) => 136.10/137.16 ((![X143,X144]: 136.10/137.16 in(X143, 136.10/137.16 setadjoin(X143, 136.10/137.16 setadjoin( 136.10/137.16 X144, 136.10/137.16 emptyset)))) => 136.10/137.16 ((![X145,X146]: 136.10/137.16 in(X146, 136.10/137.16 setadjoin(X145, 136.10/137.16 setadjoin( 136.10/137.16 X146, 136.10/137.16 emptyset)))) => 136.10/137.16 ((![X147,X148:($i > $o)]: 136.10/137.16 ((?[X149]: 136.10/137.16 (in(X149,X147) & 136.10/137.16 X148(X149))) => 136.10/137.16 ((dsetconstr( 136.10/137.16 X147, 136.10/137.16 ^[V_8]: X148(V_8)) = 136.10/137.16 emptyset) => 136.10/137.16 $false))) => 136.10/137.16 ((![X150:($i > $o),X151]: 136.10/137.16 (in(X151,emptyset) => 136.10/137.16 X150(X151))) => 136.10/137.16 ((![X152,X153:($i > $o)]: 136.10/137.16 ((~ 136.10/137.16 (![X154]: 136.10/137.16 (in(X154,X152) => 136.10/137.16 X153(X154)))) => 136.10/137.16 (?[X155]: 136.10/137.16 (in(X155,X152) & 136.10/137.16 (~X153(X155)))))) => 136.10/137.16 ((![X156, 136.10/137.16 X157:($i > $o)]: 136.10/137.16 ((![X158]: 136.10/137.16 (in(X158,X156) => 136.10/137.16 (~X157(X158)))) => 136.10/137.16 (~ 136.10/137.16 (?[X159]: 136.10/137.16 (in( 136.10/137.16 X159,X156) & 136.10/137.16 X157(X159)))))) => 136.10/137.16 ((![X160, 136.10/137.16 X161:($i > $o)]: 136.10/137.16 ((~ 136.10/137.16 (?[X162]: 136.10/137.16 (in( 136.10/137.16 X162,X160) & 136.10/137.16 X161(X162)))) => 136.10/137.16 (![X163]: 136.10/137.16 (in(X163,X160) => 136.10/137.16 (~X161(X163)))))) => 136.10/137.16 ((![X164, 136.10/137.16 X165:($i > $o)]: 136.10/137.16 ((?[X166]: 136.10/137.16 (in( 136.10/137.16 X166,X164) & 136.10/137.16 (~ 136.10/137.16 X165( 136.10/137.16 X166)))) => 136.10/137.16 (~ 136.10/137.16 (![X167]: 136.10/137.16 (in( 136.10/137.16 X167,X164) => 136.10/137.16 X165( 136.10/137.16 X167)))))) => 136.10/137.16 ((![X168:$o]: 136.10/137.16 (X168 => 136.10/137.16 in(emptyset, 136.10/137.16 prop2set( 136.10/137.16 X168)))) => 136.10/137.16 ((![X169:$o]: 136.10/137.16 (X169 => 136.10/137.16 set2prop( 136.10/137.16 prop2set( 136.10/137.16 X169)))) => 136.10/137.16 ((![X170, 136.10/137.16 X171:( 136.10/137.16 $i > $o)]: 136.10/137.16 ((~ 136.10/137.16 (?[X172]: 136.10/137.16 (in( 136.10/137.16 X172,X170) & 136.10/137.16 X171( 136.10/137.16 X172)))) => 136.10/137.16 (![X173]: 136.10/137.16 ( 136.10/137.16 in( 136.10/137.16 X173,X170) => 136.10/137.16 ( 136.10/137.16 ~ 136.10/137.16 X171( 136.10/137.16 X173)))))) => 136.10/137.16 ((![X174, 136.10/137.16 X175:( 136.10/137.16 $i > $o)]: 136.10/137.16 ((~ 136.10/137.16 ( 136.10/137.16 ![X176]: 136.10/137.16 (in( 136.10/137.16 X176,X174) => 136.10/137.16 X175( 136.10/137.16 X176)))) => 136.10/137.16 (?[X177]: 136.10/137.16 (in( 136.10/137.16 X177,X174) & 136.10/137.16 (~ 136.10/137.16 X175( 136.10/137.16 X177)))))) => 136.10/137.16 ((![X178:( 136.10/137.16 $i > $o)]: 136.10/137.16 ((?[X179]: 136.10/137.16 (X178( 136.10/137.16 X179) & 136.10/137.16 (![X180]: 136.10/137.16 (X178( 136.10/137.16 X180) => 136.10/137.16 (X179 = 136.10/137.16 X180))))) => 136.10/137.16 (?[X181]: 136.10/137.16 (X178( 136.10/137.16 X181) & 136.10/137.16 (![X182]: 136.10/137.16 (X178( 136.10/137.16 X182) => 136.10/137.16 (X181 = 136.10/137.16 X182))))))) => 136.10/137.16 ((![X183:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ?[X184]: 136.10/137.16 X183( 136.10/137.16 X184)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X185, 136.10/137.16 X186]: 136.10/137.16 (X183( 136.10/137.16 X185) => 136.10/137.16 (X183( 136.10/137.16 X186) => 136.10/137.16 (X185 = 136.10/137.16 X186)))) => 136.10/137.16 ( 136.10/137.16 ?[X187]: 136.10/137.16 (X183( 136.10/137.16 X187) & 136.10/137.16 (![X188]: 136.10/137.16 (X183( 136.10/137.16 X188) => 136.10/137.16 (X187 = 136.10/137.16 X188)))))))) => 136.10/137.16 ((![X189:( 136.10/137.16 $i > $o)]: 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ?[X190]: 136.10/137.16 (![X191]: 136.10/137.16 (X189( 136.10/137.16 X191) <=> 136.10/137.16 (X191 = 136.10/137.16 X190)))) => 136.10/137.16 ( 136.10/137.16 ?[X192]: 136.10/137.16 (X189( 136.10/137.16 X192) & 136.10/137.16 (![X193]: 136.10/137.16 (X189( 136.10/137.16 X193) => 136.10/137.16 (X192 = 136.10/137.16 X193))))))) => 136.10/137.16 ((![X194, 136.10/137.16 X195]: 136.10/137.16 (( 136.10/137.16 X194 = 136.10/137.16 X195) => 136.10/137.16 (![X196, 136.10/137.16 X197]: 136.10/137.16 (( 136.10/137.16 X196 = 136.10/137.16 X197) => 136.10/137.16 (in( 136.10/137.16 X196,X194) => 136.10/137.16 in( 136.10/137.16 X197,X195)))))) => 136.10/137.16 ((![X198, 136.10/137.16 X199]: 136.10/137.16 (( 136.10/137.16 X198 = 136.10/137.16 X199) => 136.10/137.16 (![X200, 136.10/137.16 X201]: 136.10/137.16 (( 136.10/137.16 X200 = 136.10/137.16 X201) => 136.10/137.16 (in( 136.10/137.16 X200,X198) <=> 136.10/137.16 in( 136.10/137.16 X201,X199)))))) => 136.10/137.16 (( 136.10/137.16 ![X202:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ?[X203]: 136.10/137.16 (X202( 136.10/137.16 X203) & 136.10/137.16 (![X204]: 136.10/137.16 (X202( 136.10/137.16 X204) => 136.10/137.16 (X203 = 136.10/137.16 X204))))) => 136.10/137.16 (![X205, 136.10/137.16 X206]: 136.10/137.16 (X202( 136.10/137.16 X205) => 136.10/137.16 (X202( 136.10/137.16 X206) => 136.10/137.16 (X205 = 136.10/137.16 X206)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X207:( 136.10/137.16 $i > $o), 136.10/137.16 X208:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ![X209, 136.10/137.16 X210]: 136.10/137.16 (( 136.10/137.16 X209 = 136.10/137.16 X210) => 136.10/137.16 (X207( 136.10/137.16 X209) <=> 136.10/137.16 X208( 136.10/137.16 X210)))) => 136.10/137.16 (( 136.10/137.16 ?[X211]: 136.10/137.16 (X207( 136.10/137.16 X211) & 136.10/137.16 (![X212]: 136.10/137.16 (X207( 136.10/137.16 X212) => 136.10/137.16 (X211 = 136.10/137.16 X212))))) <=> 136.10/137.16 (?[X213]: 136.10/137.16 (X208( 136.10/137.16 X213) & 136.10/137.16 (![X214]: 136.10/137.16 (X208( 136.10/137.16 X214) => 136.10/137.16 (X213 = 136.10/137.16 X214)))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 emptyset = 136.10/137.16 emptyset) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X215, 136.10/137.16 X216]: 136.10/137.16 (( 136.10/137.16 X215 = 136.10/137.16 X216) => 136.10/137.16 (![X217, 136.10/137.16 X218]: 136.10/137.16 (( 136.10/137.16 X217 = 136.10/137.16 X218) => 136.10/137.16 (setadjoin( 136.10/137.16 X215,X217) = 136.10/137.16 setadjoin( 136.10/137.16 X216,X218)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X219, 136.10/137.16 X220]: 136.10/137.16 (( 136.10/137.16 X219 = 136.10/137.16 X220) => 136.10/137.16 (powerset( 136.10/137.16 X219) = 136.10/137.16 powerset( 136.10/137.16 X220)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X221, 136.10/137.16 X222]: 136.10/137.16 (( 136.10/137.16 X221 = 136.10/137.16 X222) => 136.10/137.16 (setunion( 136.10/137.16 X221) = 136.10/137.16 setunion( 136.10/137.16 X222)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 omega = 136.10/137.16 omega) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X223:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ?[X224]: 136.10/137.16 (X223( 136.10/137.16 X224) & 136.10/137.16 (![X225]: 136.10/137.16 (X223( 136.10/137.16 X225) => 136.10/137.16 (X224 = 136.10/137.16 X225))))) => 136.10/137.16 (![X226, 136.10/137.16 X227]: 136.10/137.16 (X223( 136.10/137.16 X226) => 136.10/137.16 (X223( 136.10/137.16 X227) => 136.10/137.16 (X226 = 136.10/137.16 X227)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X228:( 136.10/137.16 $i > $o), 136.10/137.16 X229:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ![X230, 136.10/137.16 X231]: 136.10/137.16 (( 136.10/137.16 X230 = 136.10/137.16 X231) => 136.10/137.16 (X228( 136.10/137.16 X230) <=> 136.10/137.16 X229( 136.10/137.16 X231)))) => 136.10/137.16 (( 136.10/137.16 ?[X232]: 136.10/137.16 (X228( 136.10/137.16 X232) & 136.10/137.16 (![X233]: 136.10/137.16 (X228( 136.10/137.16 X233) => 136.10/137.16 (X232 = 136.10/137.16 X233))))) => 136.10/137.16 (( 136.10/137.16 ?[X234]: 136.10/137.16 (X229( 136.10/137.16 X234) & 136.10/137.16 (![X235]: 136.10/137.16 (X229( 136.10/137.16 X235) => 136.10/137.16 (X234 = 136.10/137.16 X235))))) => 136.10/137.16 (descr( 136.10/137.16 ^[V_9]: 136.10/137.16 X228(V_9)) = 136.10/137.16 descr( 136.10/137.16 ^[V_10]: 136.10/137.16 X229( 136.10/137.16 V_10))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X236, 136.10/137.16 X237]: 136.10/137.16 (( 136.10/137.16 X236 = 136.10/137.16 X237) => 136.10/137.16 (![X238:( 136.10/137.16 $i > $o), 136.10/137.16 X239:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ![X240]: 136.10/137.16 (in( 136.10/137.16 X240,X236) => 136.10/137.16 (![X241]: 136.10/137.16 (in( 136.10/137.16 X241,X237) => 136.10/137.16 (( 136.10/137.16 X240 = 136.10/137.16 X241) => 136.10/137.16 (X238( 136.10/137.16 X240) <=> 136.10/137.16 X239( 136.10/137.16 X241))))))) => 136.10/137.16 (dsetconstr( 136.10/137.16 X236, 136.10/137.16 ^[V_11]: 136.10/137.16 X238( 136.10/137.16 V_11)) = 136.10/137.16 dsetconstr( 136.10/137.16 X237, 136.10/137.16 ^[V_12]: 136.10/137.16 X239( 136.10/137.16 V_12))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X242, 136.10/137.16 X243]: 136.10/137.16 (( 136.10/137.16 ![X244]: 136.10/137.16 (in( 136.10/137.16 X244,X242) => 136.10/137.16 in( 136.10/137.16 X244,X243))) => 136.10/137.16 subset( 136.10/137.16 X242,X243))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X245, 136.10/137.16 X246]: 136.10/137.16 (( 136.10/137.16 X245 = 136.10/137.16 X246) => 136.10/137.16 subset( 136.10/137.16 X246,X245))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X247, 136.10/137.16 X248]: 136.10/137.16 (( 136.10/137.16 X247 = 136.10/137.16 X248) => 136.10/137.16 subset( 136.10/137.16 X247,X248))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X249, 136.10/137.16 X250]: 136.10/137.16 (( 136.10/137.16 ![X251]: 136.10/137.16 (in( 136.10/137.16 X251,X249) => 136.10/137.16 in( 136.10/137.16 X251,X250))) => 136.10/137.16 subset( 136.10/137.16 X249,X250))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X252]: 136.10/137.16 subset( 136.10/137.16 emptyset, 136.10/137.16 X252)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X253, 136.10/137.16 X254,X255]: 136.10/137.16 (subset( 136.10/137.16 X253,X254) => 136.10/137.16 (in( 136.10/137.16 X255,X253) => 136.10/137.16 in( 136.10/137.16 X255,X254)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X256, 136.10/137.16 X257,X258]: 136.10/137.16 (subset( 136.10/137.16 X256,X257) => 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X258,X257)) => 136.10/137.16 (~ 136.10/137.16 in( 136.10/137.16 X258,X256))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X259, 136.10/137.16 X260,X261]: 136.10/137.16 (in( 136.10/137.16 X261,X259) => 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X261,X260)) => 136.10/137.16 (~ 136.10/137.16 subset( 136.10/137.16 X259,X260))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X262, 136.10/137.16 X263]: 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 subset( 136.10/137.16 X262,X263)) => 136.10/137.16 (X262 != 136.10/137.16 X263))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X264, 136.10/137.16 X265,X266]: 136.10/137.16 (in( 136.10/137.16 X266,X264) => 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X266,X265)) => 136.10/137.16 (X264 != 136.10/137.16 X265)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X267]: 136.10/137.16 subset( 136.10/137.16 X267,X267)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X268, 136.10/137.16 X269,X270]: 136.10/137.16 (subset( 136.10/137.16 X268,X269) => 136.10/137.16 (subset( 136.10/137.16 X269,X270) => 136.10/137.16 subset( 136.10/137.16 X268,X270)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X271, 136.10/137.16 X272]: 136.10/137.16 subset( 136.10/137.16 X272, 136.10/137.16 setadjoin( 136.10/137.16 X271,X272))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X273, 136.10/137.16 X274,X275]: 136.10/137.16 (subset( 136.10/137.16 X273,X275) => 136.10/137.16 subset( 136.10/137.16 X273, 136.10/137.16 setadjoin( 136.10/137.16 X274,X275)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X276, 136.10/137.16 X277]: 136.10/137.16 (subset( 136.10/137.16 X276,X277) => 136.10/137.16 in( 136.10/137.16 X276, 136.10/137.16 powerset( 136.10/137.16 X277)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X278, 136.10/137.16 X279]: 136.10/137.16 (subset( 136.10/137.16 X278,X279) => 136.10/137.16 (subset( 136.10/137.16 X279,X278) => 136.10/137.16 (X278 = 136.10/137.16 X279)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X280]: 136.10/137.16 (subset( 136.10/137.16 X280, 136.10/137.16 emptyset) => 136.10/137.16 (X280 = 136.10/137.16 emptyset))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X281, 136.10/137.16 X282]: 136.10/137.16 (subset( 136.10/137.16 X282,X281) => 136.10/137.16 in( 136.10/137.16 X282, 136.10/137.16 powerset( 136.10/137.16 X281)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X283, 136.10/137.16 X284]: 136.10/137.16 (in( 136.10/137.16 X284, 136.10/137.16 powerset( 136.10/137.16 X283)) => 136.10/137.16 subset( 136.10/137.16 X284,X283))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X285]: 136.10/137.16 in( 136.10/137.16 X285, 136.10/137.16 powerset( 136.10/137.16 X285))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X286, 136.10/137.16 X287]: 136.10/137.16 (subset( 136.10/137.16 X286,X287) => 136.10/137.16 subset( 136.10/137.16 powerset( 136.10/137.16 X286), 136.10/137.16 powerset( 136.10/137.16 X287)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X288, 136.10/137.16 X289:( 136.10/137.16 $i > $o)]: 136.10/137.16 in( 136.10/137.16 dsetconstr( 136.10/137.16 X288, 136.10/137.16 ^[V_13]: 136.10/137.16 X289( 136.10/137.16 V_13)), 136.10/137.16 powerset( 136.10/137.16 X288))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X290, 136.10/137.16 X291:( 136.10/137.16 $i > $o)]: 136.10/137.16 subset( 136.10/137.16 dsetconstr( 136.10/137.16 X290, 136.10/137.16 ^[V_14]: 136.10/137.16 X291( 136.10/137.16 V_14)), 136.10/137.16 X290)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X292, 136.10/137.16 X293,X294]: 136.10/137.16 (in( 136.10/137.16 X294,X292) => 136.10/137.16 in( 136.10/137.16 X294, 136.10/137.16 binunion( 136.10/137.16 X292,X293)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X295, 136.10/137.16 X296]: 136.10/137.16 in( 136.10/137.16 X296, 136.10/137.16 setadjoin( 136.10/137.16 X295, 136.10/137.16 setadjoin( 136.10/137.16 X296, 136.10/137.16 emptyset)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X297, 136.10/137.16 X298,X299]: 136.10/137.16 (in( 136.10/137.16 X299,X298) => 136.10/137.16 in( 136.10/137.16 X299, 136.10/137.16 binunion( 136.10/137.16 X297,X298)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X300, 136.10/137.16 X301, 136.10/137.16 X302, 136.10/137.16 X303:$o]: 136.10/137.16 (in( 136.10/137.16 X302, 136.10/137.16 binunion( 136.10/137.16 X300,X301)) => 136.10/137.16 (( 136.10/137.16 in( 136.10/137.16 X302,X300) => 136.10/137.16 X303) => 136.10/137.16 (( 136.10/137.16 in( 136.10/137.16 X302,X301) => 136.10/137.16 X303) => 136.10/137.16 X303)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X304, 136.10/137.16 X305,X306]: 136.10/137.16 (in( 136.10/137.16 X306, 136.10/137.16 binunion( 136.10/137.16 X304,X305)) => 136.10/137.16 (in( 136.10/137.16 X306,X304) | 136.10/137.16 in( 136.10/137.16 X306,X305)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X307, 136.10/137.16 X308]: 136.10/137.16 subset( 136.10/137.16 X307, 136.10/137.16 binunion( 136.10/137.16 X307,X308))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X309, 136.10/137.16 X310]: 136.10/137.16 subset( 136.10/137.16 X310, 136.10/137.16 binunion( 136.10/137.16 X309,X310))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X311, 136.10/137.16 X312,X313]: 136.10/137.16 (in( 136.10/137.16 X313,X311) => 136.10/137.16 (in( 136.10/137.16 X313,X312) => 136.10/137.16 in( 136.10/137.16 X313, 136.10/137.16 binintersect( 136.10/137.16 X311,X312))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X314, 136.10/137.16 X315,X316]: 136.10/137.16 (subset( 136.10/137.16 X316,X314) => 136.10/137.16 (subset( 136.10/137.16 X316,X315) => 136.10/137.16 subset( 136.10/137.16 X316, 136.10/137.16 binintersect( 136.10/137.16 X314,X315))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X317, 136.10/137.16 X318,X319]: 136.10/137.16 (in( 136.10/137.16 X319, 136.10/137.16 binintersect( 136.10/137.16 X317,X318)) => 136.10/137.16 in( 136.10/137.16 X319,X317))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X320, 136.10/137.16 X321]: 136.10/137.16 subset( 136.10/137.16 binintersect( 136.10/137.16 X320,X321), 136.10/137.16 X320)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X322, 136.10/137.16 X323]: 136.10/137.16 (subset( 136.10/137.16 X322,X323) => 136.10/137.16 (binintersect( 136.10/137.16 X322,X323) = 136.10/137.16 X322))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X324, 136.10/137.16 X325]: 136.10/137.16 (( 136.10/137.16 binintersect( 136.10/137.16 X324,X325) = 136.10/137.16 X325) => 136.10/137.16 subset( 136.10/137.16 X325,X324))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X326, 136.10/137.16 X327,X328]: 136.10/137.16 (in( 136.10/137.16 X328, 136.10/137.16 binintersect( 136.10/137.16 X326,X327)) => 136.10/137.16 in( 136.10/137.16 X328,X327))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X329, 136.10/137.16 X330]: 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 ( 136.10/137.16 ?[X331]: 136.10/137.16 (in( 136.10/137.16 X331,X329) & 136.10/137.16 in( 136.10/137.16 X331,X330)))) => 136.10/137.16 (binintersect( 136.10/137.16 X329,X330) = 136.10/137.16 emptyset))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X332, 136.10/137.16 X333]: 136.10/137.16 subset( 136.10/137.16 binintersect( 136.10/137.16 X332,X333), 136.10/137.16 X333)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X334, 136.10/137.16 X335]: 136.10/137.16 (subset( 136.10/137.16 X335,X334) => 136.10/137.16 (binintersect( 136.10/137.16 X334,X335) = 136.10/137.16 X335))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X336, 136.10/137.16 X337]: 136.10/137.16 (( 136.10/137.16 binintersect( 136.10/137.16 X336,X337) = 136.10/137.16 X336) => 136.10/137.16 subset( 136.10/137.16 X336,X337))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X338, 136.10/137.16 X339,X340]: 136.10/137.16 (binintersect( 136.10/137.16 X338, 136.10/137.16 binunion( 136.10/137.16 X339,X340)) = 136.10/137.16 binunion( 136.10/137.16 binintersect( 136.10/137.16 X338,X339), 136.10/137.16 binintersect( 136.10/137.16 X338,X340)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X341, 136.10/137.16 X342,X343]: 136.10/137.16 (in( 136.10/137.16 X343,X341) => 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X343,X342)) => 136.10/137.16 in( 136.10/137.16 X343, 136.10/137.16 setminus( 136.10/137.16 X341,X342))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X344, 136.10/137.16 X345,X346]: 136.10/137.16 (in( 136.10/137.16 X346, 136.10/137.16 setminus( 136.10/137.16 X344,X345)) => 136.10/137.16 in( 136.10/137.16 X346,X344))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X347, 136.10/137.16 X348,X349]: 136.10/137.16 (in( 136.10/137.16 X349, 136.10/137.16 setminus( 136.10/137.16 X347,X348)) => 136.10/137.16 (~ 136.10/137.16 in( 136.10/137.16 X349,X348)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X350, 136.10/137.16 X351]: 136.10/137.16 (subset( 136.10/137.16 X350,X351) => 136.10/137.16 (setminus( 136.10/137.16 X350,X351) = 136.10/137.16 emptyset))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X352, 136.10/137.16 X353,X354]: 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X354, 136.10/137.16 setminus( 136.10/137.16 X352,X353))) => 136.10/137.16 (in( 136.10/137.16 X354,X352) => 136.10/137.16 in( 136.10/137.16 X354,X353)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X355, 136.10/137.16 X356,X357]: 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X357, 136.10/137.16 setminus( 136.10/137.16 X355,X356))) => 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X357,X356)) => 136.10/137.16 (~ 136.10/137.16 in( 136.10/137.16 X357,X355))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X358, 136.10/137.16 X359,X360]: 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X360,X358)) => 136.10/137.16 (~ 136.10/137.16 in( 136.10/137.16 X360, 136.10/137.16 setminus( 136.10/137.16 X358,X359))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X361, 136.10/137.16 X362,X363]: 136.10/137.16 (in( 136.10/137.16 X363,X362) => 136.10/137.16 (~ 136.10/137.16 in( 136.10/137.16 X363, 136.10/137.16 setminus( 136.10/137.16 X361,X362))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X364, 136.10/137.16 X365]: 136.10/137.16 subset( 136.10/137.16 setminus( 136.10/137.16 X364,X365), 136.10/137.16 X364)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X366, 136.10/137.16 X367]: 136.10/137.16 (( 136.10/137.16 setminus( 136.10/137.16 X366,X367) = 136.10/137.16 emptyset) => 136.10/137.16 subset( 136.10/137.16 X366,X367))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X368, 136.10/137.16 X369,X370]: 136.10/137.16 (in( 136.10/137.16 X370, 136.10/137.16 symdiff( 136.10/137.16 X368,X369)) => 136.10/137.16 (![X371:$o]: 136.10/137.16 (( 136.10/137.16 in( 136.10/137.16 X370,X368) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X370,X369)) => 136.10/137.16 X371)) => 136.10/137.16 (( 136.10/137.16 ( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X370,X368)) => 136.10/137.16 ( 136.10/137.16 in( 136.10/137.16 X370,X369) => 136.10/137.16 X371)) => 136.10/137.16 X371))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X372, 136.10/137.16 X373,X374]: 136.10/137.16 (in( 136.10/137.16 X374,X372) => 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X374,X373)) => 136.10/137.16 in( 136.10/137.16 X374, 136.10/137.16 symdiff( 136.10/137.16 X372,X373))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X375, 136.10/137.16 X376,X377]: 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X377,X375)) => 136.10/137.16 (in( 136.10/137.16 X377,X376) => 136.10/137.16 in( 136.10/137.16 X377, 136.10/137.16 symdiff( 136.10/137.16 X375,X376))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X378, 136.10/137.16 X379,X380]: 136.10/137.16 (in( 136.10/137.16 X380,X378) => 136.10/137.16 (in( 136.10/137.16 X380,X379) => 136.10/137.16 (~ 136.10/137.16 in( 136.10/137.16 X380, 136.10/137.16 symdiff( 136.10/137.16 X378,X379)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X381, 136.10/137.16 X382,X383]: 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X383,X381)) => 136.10/137.16 (( 136.10/137.16 ~ 136.10/137.16 in( 136.10/137.16 X383,X382)) => 136.10/137.16 (~ 136.10/137.16 in( 136.10/137.16 X383, 136.10/137.16 symdiff( 136.10/137.16 X381,X382)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X384, 136.10/137.16 X385]: 136.10/137.16 in( 136.10/137.16 X385, 136.10/137.16 setadjoin( 136.10/137.16 X384, 136.10/137.16 setadjoin( 136.10/137.16 X385, 136.10/137.16 emptyset)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X386, 136.10/137.16 X387]: 136.10/137.16 in( 136.10/137.16 X386, 136.10/137.16 setunion( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X386, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X386, 136.10/137.16 setadjoin( 136.10/137.16 X387, 136.10/137.16 emptyset)), 136.10/137.16 emptyset))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X388, 136.10/137.16 X389]: 136.10/137.16 in( 136.10/137.16 X389, 136.10/137.16 setunion( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X388, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X388, 136.10/137.16 setadjoin( 136.10/137.16 X389, 136.10/137.16 emptyset)), 136.10/137.16 emptyset))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X390, 136.10/137.16 X391]: 136.10/137.16 iskpair( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X390, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X390, 136.10/137.16 setadjoin( 136.10/137.16 X391, 136.10/137.16 emptyset)), 136.10/137.16 emptyset)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X392, 136.10/137.16 X393]: 136.10/137.16 iskpair( 136.10/137.16 kpair( 136.10/137.16 X392,X393))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X394, 136.10/137.16 X395]: 136.10/137.16 (in( 136.10/137.16 X395,X394) => 136.10/137.16 subset( 136.10/137.16 setadjoin( 136.10/137.16 X395, 136.10/137.16 emptyset), 136.10/137.16 X394))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X396, 136.10/137.16 X397]: 136.10/137.16 (in( 136.10/137.16 X397,X396) => 136.10/137.16 in( 136.10/137.16 setadjoin( 136.10/137.16 X397, 136.10/137.16 emptyset), 136.10/137.16 powerset( 136.10/137.16 X396)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X398, 136.10/137.16 X399,X400]: 136.10/137.16 (in( 136.10/137.16 X400,X398) => 136.10/137.16 in( 136.10/137.16 setadjoin( 136.10/137.16 X400, 136.10/137.16 emptyset), 136.10/137.16 powerset( 136.10/137.16 binunion( 136.10/137.16 X398,X399))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X401, 136.10/137.16 X402,X403]: 136.10/137.16 (in( 136.10/137.16 X403, 136.10/137.16 setadjoin( 136.10/137.16 X401, 136.10/137.16 setadjoin( 136.10/137.16 X402, 136.10/137.16 emptyset))) => 136.10/137.16 (( 136.10/137.16 X403 = 136.10/137.16 X401) | 136.10/137.16 (X403 = 136.10/137.16 X402)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X404, 136.10/137.16 X405,X406]: 136.10/137.16 (in( 136.10/137.16 X406,X404) => 136.10/137.16 (![X407]: 136.10/137.16 (in( 136.10/137.16 X407,X405) => 136.10/137.16 subset( 136.10/137.16 setadjoin( 136.10/137.16 X406, 136.10/137.16 setadjoin( 136.10/137.16 X407, 136.10/137.16 emptyset)), 136.10/137.16 binunion( 136.10/137.16 X404,X405)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X408, 136.10/137.16 X409,X410]: 136.10/137.16 (in( 136.10/137.16 X410,X408) => 136.10/137.16 (![X411]: 136.10/137.16 (in( 136.10/137.16 X411,X409) => 136.10/137.16 in( 136.10/137.16 setadjoin( 136.10/137.16 X410, 136.10/137.16 setadjoin( 136.10/137.16 X411, 136.10/137.16 emptyset)), 136.10/137.16 powerset( 136.10/137.16 binunion( 136.10/137.16 X408,X409))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X412, 136.10/137.16 X413,X414]: 136.10/137.16 (in( 136.10/137.16 X414,X412) => 136.10/137.16 (![X415]: 136.10/137.16 (in( 136.10/137.16 X415,X413) => 136.10/137.16 subset( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X414, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X414, 136.10/137.16 setadjoin( 136.10/137.16 X415, 136.10/137.16 emptyset)), 136.10/137.16 emptyset)), 136.10/137.16 powerset( 136.10/137.16 binunion( 136.10/137.16 X412,X413))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X416, 136.10/137.16 X417,X418]: 136.10/137.16 (in( 136.10/137.16 X418,X416) => 136.10/137.16 (![X419]: 136.10/137.16 (in( 136.10/137.16 X419,X417) => 136.10/137.16 in( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X418, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X418, 136.10/137.16 setadjoin( 136.10/137.16 X419, 136.10/137.16 emptyset)), 136.10/137.16 emptyset)), 136.10/137.16 powerset( 136.10/137.16 powerset( 136.10/137.16 binunion( 136.10/137.16 X416,X417)))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X420, 136.10/137.16 X421,X422]: 136.10/137.16 (in( 136.10/137.16 X422,X420) => 136.10/137.16 (![X423]: 136.10/137.16 (in( 136.10/137.16 X423,X421) => 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X422,X423), 136.10/137.16 powerset( 136.10/137.16 powerset( 136.10/137.16 binunion( 136.10/137.16 X420,X421)))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X424, 136.10/137.16 X425,X426]: 136.10/137.16 (in( 136.10/137.16 X426,X424) => 136.10/137.16 (![X427]: 136.10/137.16 (in( 136.10/137.16 X427,X425) => 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X426,X427), 136.10/137.16 cartprod( 136.10/137.16 X424,X425)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X428, 136.10/137.16 X429,X430]: 136.10/137.16 (in( 136.10/137.16 X430, 136.10/137.16 cartprod( 136.10/137.16 X428,X429)) => 136.10/137.16 (?[X431]: 136.10/137.16 (in( 136.10/137.16 X431,X428) & 136.10/137.16 (?[X432]: 136.10/137.16 (in( 136.10/137.16 X432,X429) & 136.10/137.16 (X430 = 136.10/137.16 kpair( 136.10/137.16 X431,X432)))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X433, 136.10/137.16 X434,X435]: 136.10/137.16 (in( 136.10/137.16 X435, 136.10/137.16 cartprod( 136.10/137.16 X433,X434)) => 136.10/137.16 iskpair( 136.10/137.16 X435))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X436, 136.10/137.16 X437]: 136.10/137.16 (in( 136.10/137.16 X437, 136.10/137.16 setunion( 136.10/137.16 X436)) => 136.10/137.16 (?[X438]: 136.10/137.16 (in( 136.10/137.16 X438,X436) & 136.10/137.16 in( 136.10/137.16 X437,X438))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X439]: 136.10/137.16 subset( 136.10/137.16 setunion( 136.10/137.16 setadjoin( 136.10/137.16 X439, 136.10/137.16 emptyset)), 136.10/137.16 X439)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X440]: 136.10/137.16 subset( 136.10/137.16 X440, 136.10/137.16 setunion( 136.10/137.16 setadjoin( 136.10/137.16 X440, 136.10/137.16 emptyset)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X441]: 136.10/137.16 (setunion( 136.10/137.16 setadjoin( 136.10/137.16 X441, 136.10/137.16 emptyset)) = 136.10/137.16 X441)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X442, 136.10/137.16 X443:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ![X444]: 136.10/137.16 (in( 136.10/137.16 X444,X442) => 136.10/137.16 (![X445]: 136.10/137.16 (in( 136.10/137.16 X445,X442) => 136.10/137.16 (X443( 136.10/137.16 X444) => 136.10/137.16 (X443( 136.10/137.16 X445) => 136.10/137.16 (X444 = 136.10/137.16 X445))))))) => 136.10/137.16 (( 136.10/137.16 ?[X446]: 136.10/137.16 (in( 136.10/137.16 X446,X442) & 136.10/137.16 X443( 136.10/137.16 X446))) => 136.10/137.16 singleton( 136.10/137.16 dsetconstr( 136.10/137.16 X442, 136.10/137.16 ^[V_15]: 136.10/137.16 X443( 136.10/137.16 V_15)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X447, 136.10/137.16 X448:( 136.10/137.16 $i > $o)]: 136.10/137.16 (ex1( 136.10/137.16 X447, 136.10/137.16 ^[V_16]: 136.10/137.16 X448( 136.10/137.16 V_16)) => 136.10/137.16 (?[X449]: 136.10/137.16 (in( 136.10/137.16 X449,X447) & 136.10/137.16 X448( 136.10/137.16 X449))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X450, 136.10/137.16 X451:( 136.10/137.16 $i > $o), 136.10/137.16 X452]: 136.10/137.16 (in( 136.10/137.16 X452,X450) => 136.10/137.16 (X451( 136.10/137.16 X452) => 136.10/137.16 (( 136.10/137.16 ![X453]: 136.10/137.16 (in( 136.10/137.16 X453,X450) => 136.10/137.16 (X451( 136.10/137.16 X453) => 136.10/137.16 (X453 = 136.10/137.16 X452)))) => 136.10/137.16 ex1( 136.10/137.16 X450, 136.10/137.16 ^[V_17]: 136.10/137.16 X451( 136.10/137.16 V_17)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X454, 136.10/137.16 X455:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ![X456]: 136.10/137.16 (in( 136.10/137.16 X456,X454) => 136.10/137.16 (![X457]: 136.10/137.16 (in( 136.10/137.16 X457,X454) => 136.10/137.16 (X455( 136.10/137.16 X456) => 136.10/137.16 (X455( 136.10/137.16 X457) => 136.10/137.16 (X456 = 136.10/137.16 X457))))))) => 136.10/137.16 (( 136.10/137.16 ?[X458]: 136.10/137.16 (in( 136.10/137.16 X458,X454) & 136.10/137.16 X455( 136.10/137.16 X458))) => 136.10/137.16 ex1( 136.10/137.16 X454, 136.10/137.16 ^[V_18]: 136.10/137.16 X455( 136.10/137.16 V_18))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X459, 136.10/137.16 X460]: 136.10/137.16 (( 136.10/137.16 setadjoin( 136.10/137.16 X459, 136.10/137.16 emptyset) = 136.10/137.16 setadjoin( 136.10/137.16 X460, 136.10/137.16 emptyset)) => 136.10/137.16 (X459 = 136.10/137.16 X460))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X461, 136.10/137.16 X462,X463]: 136.10/137.16 (in( 136.10/137.16 setadjoin( 136.10/137.16 X463, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X461, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X461, 136.10/137.16 setadjoin( 136.10/137.16 X462, 136.10/137.16 emptyset)), 136.10/137.16 emptyset))) => 136.10/137.16 (X461 = 136.10/137.16 X463))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X464]: 136.10/137.16 (iskpair( 136.10/137.16 X464) => 136.10/137.16 singleton( 136.10/137.16 dsetconstr( 136.10/137.16 setunion( 136.10/137.16 X464), 136.10/137.16 ^[V_19]: 136.10/137.16 in( 136.10/137.16 setadjoin( 136.10/137.16 V_19, 136.10/137.16 emptyset), 136.10/137.16 X464))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X465]: 136.10/137.16 (singleton( 136.10/137.16 X465) => 136.10/137.16 in( 136.10/137.16 setunion( 136.10/137.16 X465), 136.10/137.16 X465))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X466, 136.10/137.16 X467]: 136.10/137.16 (kfst( 136.10/137.16 kpair( 136.10/137.16 X466,X467)) = 136.10/137.16 X466)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X468, 136.10/137.16 X469,X470]: 136.10/137.16 (in( 136.10/137.16 X470, 136.10/137.16 cartprod( 136.10/137.16 X468,X469)) => 136.10/137.16 in( 136.10/137.16 kfst( 136.10/137.16 X470), 136.10/137.16 X468))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X471, 136.10/137.16 X472, 136.10/137.16 X473,X474]: 136.10/137.16 (( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X471, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X471, 136.10/137.16 setadjoin( 136.10/137.16 X472, 136.10/137.16 emptyset)), 136.10/137.16 emptyset)) = 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X473, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X473, 136.10/137.16 setadjoin( 136.10/137.16 X474, 136.10/137.16 emptyset)), 136.10/137.16 emptyset))) => 136.10/137.16 (X471 = 136.10/137.16 X473))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X475, 136.10/137.16 X476, 136.10/137.16 X477,X478]: 136.10/137.16 (( 136.10/137.16 kpair( 136.10/137.16 X475,X476) = 136.10/137.16 kpair( 136.10/137.16 X477,X478)) => 136.10/137.16 (X475 = 136.10/137.16 X477))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X479, 136.10/137.16 X480]: 136.10/137.16 (( 136.10/137.16 X479 = 136.10/137.16 X480) => 136.10/137.16 (setadjoin( 136.10/137.16 X479, 136.10/137.16 setadjoin( 136.10/137.16 X480, 136.10/137.16 emptyset)) = 136.10/137.16 setadjoin( 136.10/137.16 X479, 136.10/137.16 emptyset)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X481, 136.10/137.16 X482]: 136.10/137.16 (( 136.10/137.16 X481 = 136.10/137.16 X482) => 136.10/137.16 (setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X481, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X481, 136.10/137.16 setadjoin( 136.10/137.16 X482, 136.10/137.16 emptyset)), 136.10/137.16 emptyset)) = 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X481, 136.10/137.16 emptyset), 136.10/137.16 emptyset)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X483, 136.10/137.16 X484, 136.10/137.16 X485,X486]: 136.10/137.16 (( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X483, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X483, 136.10/137.16 setadjoin( 136.10/137.16 X484, 136.10/137.16 emptyset)), 136.10/137.16 emptyset)) = 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X485, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X485, 136.10/137.16 setadjoin( 136.10/137.16 X486, 136.10/137.16 emptyset)), 136.10/137.16 emptyset))) => 136.10/137.16 (( 136.10/137.16 X485 = 136.10/137.16 X486) => 136.10/137.16 (X484 = 136.10/137.16 X486)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X487, 136.10/137.16 X488,X489]: 136.10/137.16 (( 136.10/137.16 setadjoin( 136.10/137.16 X487, 136.10/137.16 setadjoin( 136.10/137.16 X488, 136.10/137.16 emptyset)) = 136.10/137.16 setadjoin( 136.10/137.16 X489, 136.10/137.16 emptyset)) => 136.10/137.16 (X487 = 136.10/137.16 X488))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X490, 136.10/137.16 X491, 136.10/137.16 X492,X493]: 136.10/137.16 (( 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X490, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X490, 136.10/137.16 setadjoin( 136.10/137.16 X491, 136.10/137.16 emptyset)), 136.10/137.16 emptyset)) = 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X492, 136.10/137.16 emptyset), 136.10/137.16 setadjoin( 136.10/137.16 setadjoin( 136.10/137.16 X492, 136.10/137.16 setadjoin( 136.10/137.16 X493, 136.10/137.16 emptyset)), 136.10/137.16 emptyset))) => 136.10/137.16 (X491 = 136.10/137.16 X493))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X494, 136.10/137.16 X495, 136.10/137.16 X496,X497]: 136.10/137.16 (( 136.10/137.16 kpair( 136.10/137.16 X494,X495) = 136.10/137.16 kpair( 136.10/137.16 X496,X497)) => 136.10/137.16 (X495 = 136.10/137.16 X497))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X498]: 136.10/137.16 (iskpair( 136.10/137.16 X498) => 136.10/137.16 singleton( 136.10/137.16 dsetconstr( 136.10/137.16 setunion( 136.10/137.16 X498), 136.10/137.16 ^[V_20]: 136.10/137.16 (X498 = 136.10/137.16 kpair( 136.10/137.16 kfst( 136.10/137.16 X498), 136.10/137.16 V_20)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X499, 136.10/137.16 X500]: 136.10/137.16 (ksnd( 136.10/137.16 kpair( 136.10/137.16 X499,X500)) = 136.10/137.16 X500)) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X501]: 136.10/137.16 (iskpair( 136.10/137.16 X501) => 136.10/137.16 (kpair( 136.10/137.16 kfst( 136.10/137.16 X501), 136.10/137.16 ksnd( 136.10/137.16 X501)) = 136.10/137.16 X501))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X502, 136.10/137.16 X503,X504]: 136.10/137.16 (in( 136.10/137.16 X504, 136.10/137.16 cartprod( 136.10/137.16 X502,X503)) => 136.10/137.16 in( 136.10/137.16 ksnd( 136.10/137.16 X504), 136.10/137.16 X503))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X505, 136.10/137.16 X506, 136.10/137.16 X507,X508]: 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X507,X508), 136.10/137.16 cartprod( 136.10/137.16 X505,X506)) => 136.10/137.16 in( 136.10/137.16 X507,X505))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X509, 136.10/137.16 X510, 136.10/137.16 X511,X512]: 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X511,X512), 136.10/137.16 cartprod( 136.10/137.16 X509,X510)) => 136.10/137.16 in( 136.10/137.16 X512,X510))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X513, 136.10/137.16 X514,X515]: 136.10/137.16 (in( 136.10/137.16 X515,X513) => 136.10/137.16 (![X516]: 136.10/137.16 (in( 136.10/137.16 X516,X514) => 136.10/137.16 (kpair( 136.10/137.16 X515,X516) = 136.10/137.16 kpair( 136.10/137.16 X515,X516)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X517, 136.10/137.16 X518,X519]: 136.10/137.16 (in( 136.10/137.16 X519,X517) => 136.10/137.16 (![X520]: 136.10/137.16 (in( 136.10/137.16 X520,X518) => 136.10/137.16 (kfst( 136.10/137.16 kpair( 136.10/137.16 X519,X520)) = 136.10/137.16 X519))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X521, 136.10/137.16 X522,X523]: 136.10/137.16 (in( 136.10/137.16 X523,X521) => 136.10/137.16 (![X524]: 136.10/137.16 (in( 136.10/137.16 X524,X522) => 136.10/137.16 (ksnd( 136.10/137.16 kpair( 136.10/137.16 X523,X524)) = 136.10/137.16 X524))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X525, 136.10/137.16 X526,X527]: 136.10/137.16 (in( 136.10/137.16 X527, 136.10/137.16 cartprod( 136.10/137.16 X525,X526)) => 136.10/137.16 (kpair( 136.10/137.16 kfst( 136.10/137.16 X527), 136.10/137.16 ksnd( 136.10/137.16 X527)) = 136.10/137.16 X527))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X528, 136.10/137.16 X529, 136.10/137.16 X530:( 136.10/137.16 ($i * $i) > 136.10/137.16 $o),X531]: 136.10/137.16 (in( 136.10/137.16 X531,X528) => 136.10/137.16 (![X532]: 136.10/137.16 (in( 136.10/137.16 X532,X529) => 136.10/137.16 (X530( 136.10/137.16 X531,X532) => 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X531,X532), 136.10/137.16 dpsetconstr( 136.10/137.16 X528, 136.10/137.16 X529, 136.10/137.16 ^[V_21, 136.10/137.16 V_22]: 136.10/137.16 X530( 136.10/137.16 V_21,V_22)))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X533, 136.10/137.16 X534, 136.10/137.16 X535:( 136.10/137.16 ($i * $i) > 136.10/137.16 $o)]: 136.10/137.16 subset( 136.10/137.16 dpsetconstr( 136.10/137.16 X533, 136.10/137.16 X534, 136.10/137.16 ^[V_23, 136.10/137.16 V_24]: 136.10/137.16 X535( 136.10/137.16 V_23,V_24)), 136.10/137.16 cartprod( 136.10/137.16 X533,X534))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X536, 136.10/137.16 X537, 136.10/137.16 X538:( 136.10/137.16 ($i * $i) > 136.10/137.16 $o)]: 136.10/137.16 breln( 136.10/137.16 X536, 136.10/137.16 X537, 136.10/137.16 dpsetconstr( 136.10/137.16 X536, 136.10/137.16 X537, 136.10/137.16 ^[V_25, 136.10/137.16 V_26]: 136.10/137.16 X538( 136.10/137.16 V_25,V_26)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X539, 136.10/137.16 X540, 136.10/137.16 X541:( 136.10/137.16 ($i * $i) > 136.10/137.16 $o),X542]: 136.10/137.16 (in( 136.10/137.16 X542,X539) => 136.10/137.16 (![X543]: 136.10/137.16 (in( 136.10/137.16 X543,X540) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X542,X543), 136.10/137.16 dpsetconstr( 136.10/137.16 X539, 136.10/137.16 X540, 136.10/137.16 ^[V_27, 136.10/137.16 V_28]: 136.10/137.16 X541( 136.10/137.16 V_27,V_28))) => 136.10/137.16 X541( 136.10/137.16 X542,X543)))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X544, 136.10/137.16 X545, 136.10/137.16 X546:( 136.10/137.16 ($i * $i) > 136.10/137.16 $o),X547, 136.10/137.16 X548]: 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X547,X548), 136.10/137.16 dpsetconstr( 136.10/137.16 X544, 136.10/137.16 X545, 136.10/137.16 ^[V_29, 136.10/137.16 V_30]: 136.10/137.16 X546( 136.10/137.16 V_29,V_30))) => 136.10/137.16 in( 136.10/137.16 X547,X544))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X549, 136.10/137.16 X550, 136.10/137.16 X551:( 136.10/137.16 ($i * $i) > 136.10/137.16 $o),X552, 136.10/137.16 X553]: 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X552,X553), 136.10/137.16 dpsetconstr( 136.10/137.16 X549, 136.10/137.16 X550, 136.10/137.16 ^[V_31, 136.10/137.16 V_32]: 136.10/137.16 X551( 136.10/137.16 V_31,V_32))) => 136.10/137.16 in( 136.10/137.16 X553,X550))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X554, 136.10/137.16 X555, 136.10/137.16 X556:( 136.10/137.16 ($i * $i) > 136.10/137.16 $o),X557, 136.10/137.16 X558]: 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X557,X558), 136.10/137.16 dpsetconstr( 136.10/137.16 X554, 136.10/137.16 X555, 136.10/137.16 ^[V_33, 136.10/137.16 V_34]: 136.10/137.16 X556( 136.10/137.16 V_33,V_34))) => 136.10/137.16 X556( 136.10/137.16 X557,X558))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X559, 136.10/137.16 X560,X561]: 136.10/137.16 (func( 136.10/137.16 X559, 136.10/137.16 X560,X561) => 136.10/137.16 (![X562]: 136.10/137.16 (in( 136.10/137.16 X562,X559) => 136.10/137.16 singleton( 136.10/137.16 dsetconstr( 136.10/137.16 X560, 136.10/137.16 ^[V_35]: 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X562,V_35), 136.10/137.16 X561))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X563, 136.10/137.16 X564,X565]: 136.10/137.16 (func( 136.10/137.16 X563, 136.10/137.16 X564,X565) => 136.10/137.16 (![X566]: 136.10/137.16 (in( 136.10/137.16 X566,X563) => 136.10/137.16 in( 136.10/137.16 setunion( 136.10/137.16 dsetconstr( 136.10/137.16 X564, 136.10/137.16 ^[V_36]: 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X566,V_36), 136.10/137.16 X565))), 136.10/137.16 X564))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X567, 136.10/137.16 X568,X569]: 136.10/137.16 (func( 136.10/137.16 X567, 136.10/137.16 X568,X569) => 136.10/137.16 (![X570]: 136.10/137.16 (in( 136.10/137.16 X570,X567) => 136.10/137.16 in( 136.10/137.16 ap( 136.10/137.16 X567, 136.10/137.16 X568, 136.10/137.16 X569,X570), 136.10/137.16 X568))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X571, 136.10/137.16 X572,X573]: 136.10/137.16 (in( 136.10/137.16 X573, 136.10/137.16 funcSet( 136.10/137.16 X571,X572)) => 136.10/137.16 func( 136.10/137.16 X571, 136.10/137.16 X572,X573))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X574, 136.10/137.16 X575,X576]: 136.10/137.16 (in( 136.10/137.16 X576, 136.10/137.16 funcSet( 136.10/137.16 X574,X575)) => 136.10/137.16 (![X577]: 136.10/137.16 (in( 136.10/137.16 X577,X574) => 136.10/137.16 in( 136.10/137.16 ap( 136.10/137.16 X574, 136.10/137.16 X575, 136.10/137.16 X576,X577), 136.10/137.16 X575))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X578, 136.10/137.16 X579,X580]: 136.10/137.16 (func( 136.10/137.16 X578, 136.10/137.16 X579,X580) => 136.10/137.16 in( 136.10/137.16 X580, 136.10/137.16 funcSet( 136.10/137.16 X578,X579)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X581, 136.10/137.16 X582, 136.10/137.16 X583:( 136.10/137.16 $i > $i)]: 136.10/137.16 (( 136.10/137.16 ![X584]: 136.10/137.16 (in( 136.10/137.16 X584,X581) => 136.10/137.16 in( 136.10/137.16 X583( 136.10/137.16 X584), 136.10/137.16 X582))) => 136.10/137.16 func( 136.10/137.16 X581, 136.10/137.16 X582, 136.10/137.16 dpsetconstr( 136.10/137.16 X581, 136.10/137.16 X582, 136.10/137.16 ^[V_37, 136.10/137.16 V_38]: 136.10/137.16 (X583( 136.10/137.16 V_37) = 136.10/137.16 V_38))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X585, 136.10/137.16 X586, 136.10/137.16 X587:( 136.10/137.16 $i > $i)]: 136.10/137.16 (( 136.10/137.16 ![X588]: 136.10/137.16 (in( 136.10/137.16 X588,X585) => 136.10/137.16 in( 136.10/137.16 X587( 136.10/137.16 X588), 136.10/137.16 X586))) => 136.10/137.16 func( 136.10/137.16 X585, 136.10/137.16 X586, 136.10/137.16 lam( 136.10/137.16 X585, 136.10/137.16 X586, 136.10/137.16 ^[V_39]: 136.10/137.16 X587( 136.10/137.16 V_39))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X589, 136.10/137.16 X590, 136.10/137.16 X591:( 136.10/137.16 $i > $i)]: 136.10/137.16 (( 136.10/137.16 ![X592]: 136.10/137.16 (in( 136.10/137.16 X592,X589) => 136.10/137.16 in( 136.10/137.16 X591( 136.10/137.16 X592), 136.10/137.16 X590))) => 136.10/137.16 in( 136.10/137.16 lam( 136.10/137.16 X589, 136.10/137.16 X590, 136.10/137.16 ^[V_40]: 136.10/137.16 X591( 136.10/137.16 V_40)), 136.10/137.16 funcSet( 136.10/137.16 X589,X590)))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X593, 136.10/137.16 X594,X595]: 136.10/137.16 (breln( 136.10/137.16 X593, 136.10/137.16 X594,X595) => 136.10/137.16 (![X596:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ![X597]: 136.10/137.16 (in( 136.10/137.16 X597,X593) => 136.10/137.16 (![X598]: 136.10/137.16 (in( 136.10/137.16 X598,X594) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X597,X598), 136.10/137.16 X595) => 136.10/137.16 X596( 136.10/137.16 kpair( 136.10/137.16 X597,X598))))))) => 136.10/137.16 (![X599]: 136.10/137.16 (in( 136.10/137.16 X599,X595) => 136.10/137.16 X596( 136.10/137.16 X599))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X600, 136.10/137.16 X601,X602]: 136.10/137.16 (breln( 136.10/137.16 X600, 136.10/137.16 X601,X602) => 136.10/137.16 (![X603:( 136.10/137.16 $i > $o)]: 136.10/137.16 (( 136.10/137.16 ![X604]: 136.10/137.16 (in( 136.10/137.16 X604,X600) => 136.10/137.16 (![X605]: 136.10/137.16 (in( 136.10/137.16 X605,X601) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X604,X605), 136.10/137.16 X602) => 136.10/137.16 X603( 136.10/137.16 kpair( 136.10/137.16 X604,X605))))))) => 136.10/137.16 (![X606]: 136.10/137.16 (in( 136.10/137.16 X606,X602) => 136.10/137.16 X603( 136.10/137.16 X606))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X607, 136.10/137.16 X608:( 136.10/137.16 $i > $o)]: 136.10/137.16 (ex1( 136.10/137.16 X607, 136.10/137.16 ^[V_41]: 136.10/137.16 X608( 136.10/137.16 V_41)) => 136.10/137.16 (![X609]: 136.10/137.16 (in( 136.10/137.16 X609,X607) => 136.10/137.16 (![X610]: 136.10/137.16 (in( 136.10/137.16 X610,X607) => 136.10/137.16 (X608( 136.10/137.16 X609) => 136.10/137.16 (X608( 136.10/137.16 X610) => 136.10/137.16 (X609 = 136.10/137.16 X610))))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X611, 136.10/137.16 X612,X613]: 136.10/137.16 (func( 136.10/137.16 X611, 136.10/137.16 X612,X613) => 136.10/137.16 (![X614]: 136.10/137.16 (in( 136.10/137.16 X614,X611) => 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X614, 136.10/137.16 ap( 136.10/137.16 X611, 136.10/137.16 X612, 136.10/137.16 X613,X614)), 136.10/137.16 X613))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X615, 136.10/137.16 X616,X617]: 136.10/137.16 (in( 136.10/137.16 X617, 136.10/137.16 funcSet( 136.10/137.16 X615,X616)) => 136.10/137.16 (![X618]: 136.10/137.16 (in( 136.10/137.16 X618,X615) => 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X618, 136.10/137.16 ap( 136.10/137.16 X615, 136.10/137.16 X616, 136.10/137.16 X617,X618)), 136.10/137.16 X617))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X619, 136.10/137.16 X620,X621]: 136.10/137.16 (func( 136.10/137.16 X619, 136.10/137.16 X620,X621) => 136.10/137.16 (![X622]: 136.10/137.16 (in( 136.10/137.16 X622,X619) => 136.10/137.16 (![X623]: 136.10/137.16 (in( 136.10/137.16 X623,X620) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X622,X623), 136.10/137.16 X621) => 136.10/137.16 (ap( 136.10/137.16 X619, 136.10/137.16 X620, 136.10/137.16 X621,X622) = 136.10/137.16 X623)))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X624, 136.10/137.16 X625,X626]: 136.10/137.16 (func( 136.10/137.16 X624, 136.10/137.16 X625,X626) => 136.10/137.16 (![X627]: 136.10/137.16 (func( 136.10/137.16 X624, 136.10/137.16 X625,X627) => 136.10/137.16 (( 136.10/137.16 ![X628]: 136.10/137.16 (in( 136.10/137.16 X628,X624) => 136.10/137.16 (ap( 136.10/137.16 X624, 136.10/137.16 X625, 136.10/137.16 X626,X628) = 136.10/137.16 ap( 136.10/137.16 X624, 136.10/137.16 X625, 136.10/137.16 X627,X628)))) => 136.10/137.16 (![X629]: 136.10/137.16 (in( 136.10/137.16 X629,X624) => 136.10/137.16 (![X630]: 136.10/137.16 (in( 136.10/137.16 X630,X625) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X629,X630), 136.10/137.16 X627) => 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.16 X629,X630), 136.10/137.16 X626))))))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X631, 136.10/137.16 X632,X633]: 136.10/137.16 (in( 136.10/137.16 X633, 136.10/137.16 funcSet( 136.10/137.16 X631,X632)) => 136.10/137.16 (![X634]: 136.10/137.16 (in( 136.10/137.16 X634,X631) => 136.10/137.16 (![X635]: 136.10/137.16 (in( 136.10/137.16 X635,X632) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X634,X635), 136.10/137.16 X633) => 136.10/137.16 (ap( 136.10/137.16 X631, 136.10/137.16 X632, 136.10/137.16 X633,X634) = 136.10/137.16 X635)))))))) => 136.10/137.16 ( 136.10/137.16 ( 136.10/137.16 ![X636, 136.10/137.16 X637,X638]: 136.10/137.16 (breln( 136.10/137.16 X636, 136.10/137.16 X637,X638) => 136.10/137.16 (![X639]: 136.10/137.16 (breln( 136.10/137.16 X636, 136.10/137.16 X637,X639) => 136.10/137.16 (( 136.10/137.16 ![X640]: 136.10/137.16 (in( 136.10/137.16 X640,X636) => 136.10/137.16 (![X641]: 136.10/137.16 (in( 136.10/137.16 X641,X637) => 136.10/137.16 (in( 136.10/137.16 kpair( 136.10/137.16 X640,X641), 136.10/137.16 X638) => 136.10/137.16 in( 136.10/137.16 kpair( 136.10/137.17 X640,X641), 136.10/137.17 X639)))))) => 136.10/137.17 subset( 136.10/137.17 X638,X639)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X642, 136.10/137.17 X643,X644]: 136.10/137.17 (breln( 136.10/137.17 X642, 136.10/137.17 X643,X644) => 136.10/137.17 (![X645]: 136.10/137.17 (breln( 136.10/137.17 X642, 136.10/137.17 X643,X645) => 136.10/137.17 (( 136.10/137.17 ![X646]: 136.10/137.17 (in( 136.10/137.17 X646,X642) => 136.10/137.17 (![X647]: 136.10/137.17 (in( 136.10/137.17 X647,X643) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X646,X647), 136.10/137.17 X644) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X646,X647), 136.10/137.17 X645)))))) => 136.10/137.17 (( 136.10/137.17 ![X648]: 136.10/137.17 (in( 136.10/137.17 X648,X642) => 136.10/137.17 (![X649]: 136.10/137.17 (in( 136.10/137.17 X649,X643) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X648,X649), 136.10/137.17 X645) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X648,X649), 136.10/137.17 X644)))))) => 136.10/137.17 (X644 = 136.10/137.17 X645))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X650, 136.10/137.17 X651,X652]: 136.10/137.17 (func( 136.10/137.17 X650, 136.10/137.17 X651,X652) => 136.10/137.17 (![X653]: 136.10/137.17 (func( 136.10/137.17 X650, 136.10/137.17 X651,X653) => 136.10/137.17 (( 136.10/137.17 ![X654]: 136.10/137.17 (in( 136.10/137.17 X654,X650) => 136.10/137.17 (ap( 136.10/137.17 X650, 136.10/137.17 X651, 136.10/137.17 X652,X654) = 136.10/137.17 ap( 136.10/137.17 X650, 136.10/137.17 X651, 136.10/137.17 X653,X654)))) => 136.10/137.17 (X652 = 136.10/137.17 X653)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X655, 136.10/137.17 X656,X657]: 136.10/137.17 (in( 136.10/137.17 X657, 136.10/137.17 funcSet( 136.10/137.17 X655,X656)) => 136.10/137.17 (![X658]: 136.10/137.17 (in( 136.10/137.17 X658, 136.10/137.17 funcSet( 136.10/137.17 X655,X656)) => 136.10/137.17 (( 136.10/137.17 ![X659]: 136.10/137.17 (in( 136.10/137.17 X659,X655) => 136.10/137.17 (ap( 136.10/137.17 X655, 136.10/137.17 X656, 136.10/137.17 X657,X659) = 136.10/137.17 ap( 136.10/137.17 X655, 136.10/137.17 X656, 136.10/137.17 X658,X659)))) => 136.10/137.17 (X657 = 136.10/137.17 X658)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X660, 136.10/137.17 X661,X662]: 136.10/137.17 (in( 136.10/137.17 X662, 136.10/137.17 funcSet( 136.10/137.17 X660,X661)) => 136.10/137.17 (![X663]: 136.10/137.17 (in( 136.10/137.17 X663,X660) => 136.10/137.17 (ap( 136.10/137.17 X660, 136.10/137.17 X661, 136.10/137.17 X662,X663) = 136.10/137.17 ap( 136.10/137.17 X660, 136.10/137.17 X661, 136.10/137.17 X662,X663)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X664, 136.10/137.17 X665,X666]: 136.10/137.17 (func( 136.10/137.17 X664, 136.10/137.17 X665,X666) => 136.10/137.17 (![X667]: 136.10/137.17 (in( 136.10/137.17 X667,X664) => 136.10/137.17 (ap( 136.10/137.17 X664, 136.10/137.17 X665, 136.10/137.17 X666,X667) = 136.10/137.17 ap( 136.10/137.17 X664, 136.10/137.17 X665, 136.10/137.17 X666,X667)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X668, 136.10/137.17 X669, 136.10/137.17 X670:( 136.10/137.17 $i > $i)]: 136.10/137.17 (( 136.10/137.17 ![X671]: 136.10/137.17 (in( 136.10/137.17 X671,X668) => 136.10/137.17 in( 136.10/137.17 X670( 136.10/137.17 X671), 136.10/137.17 X669))) => 136.10/137.17 (![X672]: 136.10/137.17 (in( 136.10/137.17 X672,X668) => 136.10/137.17 (ap( 136.10/137.17 X668, 136.10/137.17 X669, 136.10/137.17 lam( 136.10/137.17 X668, 136.10/137.17 X669, 136.10/137.17 ^[V_42]: 136.10/137.17 X670( 136.10/137.17 V_42)), 136.10/137.17 X672) = 136.10/137.17 X670( 136.10/137.17 X672)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X673, 136.10/137.17 X674,X675]: 136.10/137.17 (func( 136.10/137.17 X673, 136.10/137.17 X674,X675) => 136.10/137.17 (lam( 136.10/137.17 X673, 136.10/137.17 X674, 136.10/137.17 ^[V_43]: 136.10/137.17 ap( 136.10/137.17 X673, 136.10/137.17 X674, 136.10/137.17 X675,V_43)) = 136.10/137.17 X675))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X676, 136.10/137.17 X677, 136.10/137.17 X678:( 136.10/137.17 $i > $i)]: 136.10/137.17 (( 136.10/137.17 ![X679]: 136.10/137.17 (in( 136.10/137.17 X679,X676) => 136.10/137.17 in( 136.10/137.17 X678( 136.10/137.17 X679), 136.10/137.17 X677))) => 136.10/137.17 (lam( 136.10/137.17 X676, 136.10/137.17 X677, 136.10/137.17 ^[V_44]: 136.10/137.17 X678( 136.10/137.17 V_44)) = 136.10/137.17 lam( 136.10/137.17 X676, 136.10/137.17 X677, 136.10/137.17 ^[V_45]: 136.10/137.17 X678( 136.10/137.17 V_45))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X680, 136.10/137.17 X681, 136.10/137.17 X682:( 136.10/137.17 $i > $i)]: 136.10/137.17 (( 136.10/137.17 ![X683]: 136.10/137.17 (in( 136.10/137.17 X683,X680) => 136.10/137.17 in( 136.10/137.17 X682( 136.10/137.17 X683), 136.10/137.17 X681))) => 136.10/137.17 (![X684]: 136.10/137.17 (in( 136.10/137.17 X684,X680) => 136.10/137.17 (ap( 136.10/137.17 X680, 136.10/137.17 X681, 136.10/137.17 lam( 136.10/137.17 X680, 136.10/137.17 X681, 136.10/137.17 ^[V_46]: 136.10/137.17 X682( 136.10/137.17 V_46)), 136.10/137.17 X684) = 136.10/137.17 X682( 136.10/137.17 X684)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X685, 136.10/137.17 X686,X687]: 136.10/137.17 (in( 136.10/137.17 X687, 136.10/137.17 funcSet( 136.10/137.17 X685,X686)) => 136.10/137.17 (lam( 136.10/137.17 X685, 136.10/137.17 X686, 136.10/137.17 ^[V_47]: 136.10/137.17 ap( 136.10/137.17 X685, 136.10/137.17 X686, 136.10/137.17 X687,V_47)) = 136.10/137.17 X687))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X688, 136.10/137.17 X689:$o, 136.10/137.17 X690]: 136.10/137.17 (in( 136.10/137.17 X690,X688) => 136.10/137.17 (![X691]: 136.10/137.17 (in( 136.10/137.17 X691,X688) => 136.10/137.17 (( 136.10/137.17 ~X689) => 136.10/137.17 in( 136.10/137.17 X691, 136.10/137.17 dsetconstr( 136.10/137.17 X688, 136.10/137.17 ^[V_48]: 136.10/137.17 (( 136.10/137.17 X689 & 136.10/137.17 ( 136.10/137.17 V_48 = 136.10/137.17 X690)) | 136.10/137.17 (( 136.10/137.17 ~X689) & 136.10/137.17 (V_48 = 136.10/137.17 X691)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X692, 136.10/137.17 X693:$o, 136.10/137.17 X694]: 136.10/137.17 (in( 136.10/137.17 X694,X692) => 136.10/137.17 (![X695]: 136.10/137.17 (in( 136.10/137.17 X695,X692) => 136.10/137.17 (( 136.10/137.17 ~X693) => 136.10/137.17 (dsetconstr( 136.10/137.17 X692, 136.10/137.17 ^[V_49]: 136.10/137.17 (( 136.10/137.17 X693 & 136.10/137.17 ( 136.10/137.17 V_49 = 136.10/137.17 X694)) | 136.10/137.17 (( 136.10/137.17 ~X693) & 136.10/137.17 (V_49 = 136.10/137.17 X695)))) = 136.10/137.17 setadjoin( 136.10/137.17 X695, 136.10/137.17 emptyset))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X696, 136.10/137.17 X697:$o, 136.10/137.17 X698]: 136.10/137.17 (in( 136.10/137.17 X698,X696) => 136.10/137.17 (![X699]: 136.10/137.17 (in( 136.10/137.17 X699,X696) => 136.10/137.17 (X697 => 136.10/137.17 in( 136.10/137.17 X698, 136.10/137.17 dsetconstr( 136.10/137.17 X696, 136.10/137.17 ^[V_50]: 136.10/137.17 (( 136.10/137.17 X697 & 136.10/137.17 ( 136.10/137.17 V_50 = 136.10/137.17 X698)) | 136.10/137.17 (( 136.10/137.17 ~X697) & 136.10/137.17 (V_50 = 136.10/137.17 X699)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X700, 136.10/137.17 X701:$o, 136.10/137.17 X702]: 136.10/137.17 (in( 136.10/137.17 X702,X700) => 136.10/137.17 (![X703]: 136.10/137.17 (in( 136.10/137.17 X703,X700) => 136.10/137.17 (X701 => 136.10/137.17 (dsetconstr( 136.10/137.17 X700, 136.10/137.17 ^[V_51]: 136.10/137.17 (( 136.10/137.17 X701 & 136.10/137.17 ( 136.10/137.17 V_51 = 136.10/137.17 X702)) | 136.10/137.17 (( 136.10/137.17 ~X701) & 136.10/137.17 (V_51 = 136.10/137.17 X703)))) = 136.10/137.17 setadjoin( 136.10/137.17 X702, 136.10/137.17 emptyset))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X704, 136.10/137.17 X705:$o, 136.10/137.17 X706]: 136.10/137.17 (in( 136.10/137.17 X706,X704) => 136.10/137.17 (![X707]: 136.10/137.17 (in( 136.10/137.17 X707,X704) => 136.10/137.17 singleton( 136.10/137.17 dsetconstr( 136.10/137.17 X704, 136.10/137.17 ^[V_52]: 136.10/137.17 (( 136.10/137.17 X705 & 136.10/137.17 ( 136.10/137.17 V_52 = 136.10/137.17 X706)) | 136.10/137.17 (( 136.10/137.17 ~X705) & 136.10/137.17 (V_52 = 136.10/137.17 X707))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X708, 136.10/137.17 X709:$o, 136.10/137.17 X710]: 136.10/137.17 (in( 136.10/137.17 X710,X708) => 136.10/137.17 (![X711]: 136.10/137.17 (in( 136.10/137.17 X711,X708) => 136.10/137.17 in( 136.10/137.17 if( 136.10/137.17 X708, 136.10/137.17 X709, 136.10/137.17 X710,X711), 136.10/137.17 X708))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X712]: 136.10/137.17 (singleton( 136.10/137.17 X712) => 136.10/137.17 (![X713]: 136.10/137.17 (in( 136.10/137.17 X713,X712) => 136.10/137.17 (setunion( 136.10/137.17 X712) = 136.10/137.17 X713))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X714, 136.10/137.17 X715:$o, 136.10/137.17 X716]: 136.10/137.17 (in( 136.10/137.17 X716,X714) => 136.10/137.17 (![X717]: 136.10/137.17 (in( 136.10/137.17 X717,X714) => 136.10/137.17 (X715 => 136.10/137.17 (if( 136.10/137.17 X714, 136.10/137.17 X715, 136.10/137.17 X716,X717) = 136.10/137.17 X716)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X718, 136.10/137.17 X719:$o, 136.10/137.17 X720]: 136.10/137.17 (in( 136.10/137.17 X720,X718) => 136.10/137.17 (![X721]: 136.10/137.17 (in( 136.10/137.17 X721,X718) => 136.10/137.17 (( 136.10/137.17 ~X719) => 136.10/137.17 (if( 136.10/137.17 X718, 136.10/137.17 X719, 136.10/137.17 X720,X721) = 136.10/137.17 X721)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X722, 136.10/137.17 X723:$o, 136.10/137.17 X724]: 136.10/137.17 (in( 136.10/137.17 X724,X722) => 136.10/137.17 (![X725]: 136.10/137.17 (in( 136.10/137.17 X725,X722) => 136.10/137.17 in( 136.10/137.17 if( 136.10/137.17 X722, 136.10/137.17 X723, 136.10/137.17 X724,X725), 136.10/137.17 setadjoin( 136.10/137.17 X724, 136.10/137.17 setadjoin( 136.10/137.17 X725, 136.10/137.17 emptyset))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X726, 136.10/137.17 X727]: 136.10/137.17 (in( 136.10/137.17 X727, 136.10/137.17 powerset( 136.10/137.17 X726)) => 136.10/137.17 (![X728]: 136.10/137.17 (in( 136.10/137.17 X728, 136.10/137.17 powerset( 136.10/137.17 X726)) => 136.10/137.17 in( 136.10/137.17 binintersect( 136.10/137.17 X727,X728), 136.10/137.17 powerset( 136.10/137.17 X726)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X729, 136.10/137.17 X730]: 136.10/137.17 (in( 136.10/137.17 X730, 136.10/137.17 powerset( 136.10/137.17 X729)) => 136.10/137.17 (![X731]: 136.10/137.17 (in( 136.10/137.17 X731, 136.10/137.17 powerset( 136.10/137.17 X729)) => 136.10/137.17 in( 136.10/137.17 binunion( 136.10/137.17 X730,X731), 136.10/137.17 powerset( 136.10/137.17 X729)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X732, 136.10/137.17 X733]: 136.10/137.17 (in( 136.10/137.17 X733, 136.10/137.17 powerset( 136.10/137.17 X732)) => 136.10/137.17 in( 136.10/137.17 powerset( 136.10/137.17 X733), 136.10/137.17 powerset( 136.10/137.17 powerset( 136.10/137.17 X732))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X734, 136.10/137.17 X735]: 136.10/137.17 (in( 136.10/137.17 X735, 136.10/137.17 powerset( 136.10/137.17 X734)) => 136.10/137.17 (![X736]: 136.10/137.17 (in( 136.10/137.17 X736, 136.10/137.17 powerset( 136.10/137.17 X734)) => 136.10/137.17 in( 136.10/137.17 setminus( 136.10/137.17 X735,X736), 136.10/137.17 powerset( 136.10/137.17 X734)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X737, 136.10/137.17 X738]: 136.10/137.17 (in( 136.10/137.17 X738, 136.10/137.17 powerset( 136.10/137.17 X737)) => 136.10/137.17 in( 136.10/137.17 setminus( 136.10/137.17 X737,X738), 136.10/137.17 powerset( 136.10/137.17 X737)))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X739, 136.10/137.17 X740]: 136.10/137.17 (in( 136.10/137.17 X740, 136.10/137.17 powerset( 136.10/137.17 X739)) => 136.10/137.17 (![X741]: 136.10/137.17 (in( 136.10/137.17 X741, 136.10/137.17 powerset( 136.10/137.17 X739)) => 136.10/137.17 (( 136.10/137.17 ![X742]: 136.10/137.17 (in( 136.10/137.17 X742,X739) => 136.10/137.17 (in( 136.10/137.17 X742,X740) => 136.10/137.17 in( 136.10/137.17 X742,X741)))) => 136.10/137.17 (( 136.10/137.17 ![X743]: 136.10/137.17 (in( 136.10/137.17 X743,X739) => 136.10/137.17 (in( 136.10/137.17 X743,X741) => 136.10/137.17 in( 136.10/137.17 X743,X740)))) => 136.10/137.17 (X740 = 136.10/137.17 X741))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X744, 136.10/137.17 X745]: 136.10/137.17 (in( 136.10/137.17 X745, 136.10/137.17 powerset( 136.10/137.17 X744)) => 136.10/137.17 (![X746]: 136.10/137.17 (in( 136.10/137.17 X746, 136.10/137.17 powerset( 136.10/137.17 X744)) => 136.10/137.17 (( 136.10/137.17 ![X747]: 136.10/137.17 (in( 136.10/137.17 X747,X744) => 136.10/137.17 (in( 136.10/137.17 X747,X745) => 136.10/137.17 in( 136.10/137.17 X747,X746)))) => 136.10/137.17 subset( 136.10/137.17 X745,X746)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X748, 136.10/137.17 X749]: 136.10/137.17 (in( 136.10/137.17 X749, 136.10/137.17 powerset( 136.10/137.17 X748)) => 136.10/137.17 (![X750]: 136.10/137.17 (in( 136.10/137.17 X750, 136.10/137.17 powerset( 136.10/137.17 X748)) => 136.10/137.17 (( 136.10/137.17 ![X751]: 136.10/137.17 (in( 136.10/137.17 X751,X748) => 136.10/137.17 (in( 136.10/137.17 X751,X749) => 136.10/137.17 in( 136.10/137.17 X751,X750)))) => 136.10/137.17 in( 136.10/137.17 X749, 136.10/137.17 powerset( 136.10/137.17 X750))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X752, 136.10/137.17 X753]: 136.10/137.17 (in( 136.10/137.17 X753, 136.10/137.17 powerset( 136.10/137.17 X752)) => 136.10/137.17 (![X754]: 136.10/137.17 (in( 136.10/137.17 X754, 136.10/137.17 powerset( 136.10/137.17 X752)) => 136.10/137.17 (![X755]: 136.10/137.17 (in( 136.10/137.17 X755,X752) => 136.10/137.17 (in( 136.10/137.17 X753, 136.10/137.17 powerset( 136.10/137.17 X754)) => 136.10/137.17 (in( 136.10/137.17 X755,X753) => 136.10/137.17 in( 136.10/137.17 X755,X754))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X756, 136.10/137.17 X757]: 136.10/137.17 (in( 136.10/137.17 X757, 136.10/137.17 powerset( 136.10/137.17 X756)) => 136.10/137.17 (![X758]: 136.10/137.17 (in( 136.10/137.17 X758,X756) => 136.10/137.17 (in( 136.10/137.17 X758,X757) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X758, 136.10/137.17 setminus( 136.10/137.17 X756,X757)))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X759, 136.10/137.17 X760]: 136.10/137.17 (in( 136.10/137.17 X760, 136.10/137.17 powerset( 136.10/137.17 X759)) => 136.10/137.17 (![X761]: 136.10/137.17 (in( 136.10/137.17 X761,X759) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X761, 136.10/137.17 setminus( 136.10/137.17 X759,X760))) => 136.10/137.17 in( 136.10/137.17 X761,X760)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X762, 136.10/137.17 X763]: 136.10/137.17 (in( 136.10/137.17 X763, 136.10/137.17 powerset( 136.10/137.17 X762)) => 136.10/137.17 (![X764]: 136.10/137.17 (in( 136.10/137.17 X764, 136.10/137.17 powerset( 136.10/137.17 X762)) => 136.10/137.17 (![X765]: 136.10/137.17 (in( 136.10/137.17 X765,X762) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X765,X763)) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X765, 136.10/137.17 binintersect( 136.10/137.17 X763,X764)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X766, 136.10/137.17 X767]: 136.10/137.17 (in( 136.10/137.17 X767, 136.10/137.17 powerset( 136.10/137.17 X766)) => 136.10/137.17 (![X768]: 136.10/137.17 (in( 136.10/137.17 X768, 136.10/137.17 powerset( 136.10/137.17 X766)) => 136.10/137.17 (![X769]: 136.10/137.17 (in( 136.10/137.17 X769,X766) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X769,X768)) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X769, 136.10/137.17 binintersect( 136.10/137.17 X767,X768)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X770, 136.10/137.17 X771]: 136.10/137.17 (in( 136.10/137.17 X771, 136.10/137.17 powerset( 136.10/137.17 X770)) => 136.10/137.17 (![X772]: 136.10/137.17 (in( 136.10/137.17 X772, 136.10/137.17 powerset( 136.10/137.17 X770)) => 136.10/137.17 (![X773]: 136.10/137.17 (in( 136.10/137.17 X773,X770) => 136.10/137.17 (subset( 136.10/137.17 X771, 136.10/137.17 setminus( 136.10/137.17 X770,X772)) => 136.10/137.17 (in( 136.10/137.17 X773,X772) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X773,X771)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X774, 136.10/137.17 X775]: 136.10/137.17 (in( 136.10/137.17 X775, 136.10/137.17 powerset( 136.10/137.17 X774)) => 136.10/137.17 (![X776]: 136.10/137.17 (in( 136.10/137.17 X776, 136.10/137.17 powerset( 136.10/137.17 X774)) => 136.10/137.17 (![X777]: 136.10/137.17 (in( 136.10/137.17 X777,X774) => 136.10/137.17 (subset( 136.10/137.17 X775,X776) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X777,X776)) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X777,X775)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X778, 136.10/137.17 X779]: 136.10/137.17 (in( 136.10/137.17 X779, 136.10/137.17 powerset( 136.10/137.17 X778)) => 136.10/137.17 (![X780]: 136.10/137.17 (in( 136.10/137.17 X780, 136.10/137.17 powerset( 136.10/137.17 X778)) => 136.10/137.17 (subset( 136.10/137.17 X779,X780) => 136.10/137.17 subset( 136.10/137.17 setminus( 136.10/137.17 X778,X780), 136.10/137.17 setminus( 136.10/137.17 X778,X779))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X781, 136.10/137.17 X782]: 136.10/137.17 (in( 136.10/137.17 X782, 136.10/137.17 powerset( 136.10/137.17 X781)) => 136.10/137.17 (![X783]: 136.10/137.17 (in( 136.10/137.17 X783, 136.10/137.17 powerset( 136.10/137.17 X781)) => 136.10/137.17 (subset( 136.10/137.17 setminus( 136.10/137.17 X781,X783), 136.10/137.17 setminus( 136.10/137.17 X781,X782)) => 136.10/137.17 subset( 136.10/137.17 X782,X783)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X784, 136.10/137.17 X785]: 136.10/137.17 (in( 136.10/137.17 X785, 136.10/137.17 powerset( 136.10/137.17 X784)) => 136.10/137.17 (![X786]: 136.10/137.17 (in( 136.10/137.17 X786,X784) => 136.10/137.17 (in( 136.10/137.17 X786,X785) => 136.10/137.17 in( 136.10/137.17 X786, 136.10/137.17 setminus( 136.10/137.17 X784, 136.10/137.17 setminus( 136.10/137.17 X784,X785)))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X787, 136.10/137.17 X788]: 136.10/137.17 (in( 136.10/137.17 X788, 136.10/137.17 powerset( 136.10/137.17 X787)) => 136.10/137.17 (![X789]: 136.10/137.17 (in( 136.10/137.17 X789,X787) => 136.10/137.17 (in( 136.10/137.17 X789, 136.10/137.17 setminus( 136.10/137.17 X787, 136.10/137.17 setminus( 136.10/137.17 X787,X788))) => 136.10/137.17 in( 136.10/137.17 X789,X788)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X790, 136.10/137.17 X791]: 136.10/137.17 (in( 136.10/137.17 X791, 136.10/137.17 powerset( 136.10/137.17 X790)) => 136.10/137.17 subset( 136.10/137.17 X791, 136.10/137.17 setminus( 136.10/137.17 X790, 136.10/137.17 setminus( 136.10/137.17 X790,X791))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X792, 136.10/137.17 X793]: 136.10/137.17 (in( 136.10/137.17 X793, 136.10/137.17 powerset( 136.10/137.17 X792)) => 136.10/137.17 subset( 136.10/137.17 setminus( 136.10/137.17 X792, 136.10/137.17 setminus( 136.10/137.17 X792,X793)), 136.10/137.17 X793))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X794, 136.10/137.17 X795]: 136.10/137.17 (in( 136.10/137.17 X795, 136.10/137.17 powerset( 136.10/137.17 X794)) => 136.10/137.17 (X795 = 136.10/137.17 setminus( 136.10/137.17 X794, 136.10/137.17 setminus( 136.10/137.17 X794,X795))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X796, 136.10/137.17 X797]: 136.10/137.17 (in( 136.10/137.17 X797, 136.10/137.17 powerset( 136.10/137.17 X796)) => 136.10/137.17 (![X798]: 136.10/137.17 (in( 136.10/137.17 X798, 136.10/137.17 powerset( 136.10/137.17 X796)) => 136.10/137.17 (![X799]: 136.10/137.17 (in( 136.10/137.17 X799,X796) => 136.10/137.17 (in( 136.10/137.17 X799, 136.10/137.17 setminus( 136.10/137.17 X796,X797)) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X799, 136.10/137.17 binintersect( 136.10/137.17 X797,X798)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X800, 136.10/137.17 X801]: 136.10/137.17 (in( 136.10/137.17 X801, 136.10/137.17 powerset( 136.10/137.17 X800)) => 136.10/137.17 (![X802]: 136.10/137.17 (in( 136.10/137.17 X802, 136.10/137.17 powerset( 136.10/137.17 X800)) => 136.10/137.17 (![X803]: 136.10/137.17 (in( 136.10/137.17 X803,X800) => 136.10/137.17 (in( 136.10/137.17 X803, 136.10/137.17 setminus( 136.10/137.17 X800,X801)) => 136.10/137.17 in( 136.10/137.17 X803, 136.10/137.17 setminus( 136.10/137.17 X800, 136.10/137.17 binintersect( 136.10/137.17 X801,X802)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X804, 136.10/137.17 X805]: 136.10/137.17 (in( 136.10/137.17 X805, 136.10/137.17 powerset( 136.10/137.17 X804)) => 136.10/137.17 (![X806]: 136.10/137.17 (in( 136.10/137.17 X806, 136.10/137.17 powerset( 136.10/137.17 X804)) => 136.10/137.17 subset( 136.10/137.17 setminus( 136.10/137.17 X804,X805), 136.10/137.17 setminus( 136.10/137.17 X804, 136.10/137.17 binintersect( 136.10/137.17 X805,X806))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X807, 136.10/137.17 X808]: 136.10/137.17 (in( 136.10/137.17 X808, 136.10/137.17 powerset( 136.10/137.17 X807)) => 136.10/137.17 (![X809]: 136.10/137.17 (in( 136.10/137.17 X809, 136.10/137.17 powerset( 136.10/137.17 X807)) => 136.10/137.17 in( 136.10/137.17 setminus( 136.10/137.17 X807,X808), 136.10/137.17 powerset( 136.10/137.17 setminus( 136.10/137.17 X807, 136.10/137.17 binintersect( 136.10/137.17 X808,X809)))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X810, 136.10/137.17 X811]: 136.10/137.17 (in( 136.10/137.17 X811, 136.10/137.17 powerset( 136.10/137.17 X810)) => 136.10/137.17 (![X812]: 136.10/137.17 (in( 136.10/137.17 X812, 136.10/137.17 powerset( 136.10/137.17 X810)) => 136.10/137.17 (subset( 136.10/137.17 X811, 136.10/137.17 setminus( 136.10/137.17 X810,X812)) => 136.10/137.17 (![X813]: 136.10/137.17 (in( 136.10/137.17 X813,X810) => 136.10/137.17 (in( 136.10/137.17 X813,X812) => 136.10/137.17 in( 136.10/137.17 X813, 136.10/137.17 setminus( 136.10/137.17 X810,X811)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X814, 136.10/137.17 X815]: 136.10/137.17 (in( 136.10/137.17 X815, 136.10/137.17 powerset( 136.10/137.17 X814)) => 136.10/137.17 (![X816]: 136.10/137.17 (in( 136.10/137.17 X816, 136.10/137.17 powerset( 136.10/137.17 X814)) => 136.10/137.17 (subset( 136.10/137.17 X815, 136.10/137.17 setminus( 136.10/137.17 X814,X816)) => 136.10/137.17 subset( 136.10/137.17 X816, 136.10/137.17 setminus( 136.10/137.17 X814,X815))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X817, 136.10/137.17 X818]: 136.10/137.17 (in( 136.10/137.17 X818, 136.10/137.17 powerset( 136.10/137.17 X817)) => 136.10/137.17 (![X819]: 136.10/137.17 (in( 136.10/137.17 X819, 136.10/137.17 powerset( 136.10/137.17 X817)) => 136.10/137.17 (![X820]: 136.10/137.17 (in( 136.10/137.17 X820,X817) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X820, 136.10/137.17 binunion( 136.10/137.17 X818,X819))) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X820,X818))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X821, 136.10/137.17 X822]: 136.10/137.17 (in( 136.10/137.17 X822, 136.10/137.17 powerset( 136.10/137.17 X821)) => 136.10/137.17 (![X823]: 136.10/137.17 (in( 136.10/137.17 X823, 136.10/137.17 powerset( 136.10/137.17 X821)) => 136.10/137.17 (![X824]: 136.10/137.17 (in( 136.10/137.17 X824,X821) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X824, 136.10/137.17 binunion( 136.10/137.17 X822,X823))) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X824,X823))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X825, 136.10/137.17 X826]: 136.10/137.17 (in( 136.10/137.17 X826, 136.10/137.17 powerset( 136.10/137.17 X825)) => 136.10/137.17 (![X827]: 136.10/137.17 (in( 136.10/137.17 X827, 136.10/137.17 powerset( 136.10/137.17 X825)) => 136.10/137.17 (![X828]: 136.10/137.17 (in( 136.10/137.17 X828, 136.10/137.17 powerset( 136.10/137.17 X825)) => 136.10/137.17 (![X829]: 136.10/137.17 (in( 136.10/137.17 X829,X825) => 136.10/137.17 (in( 136.10/137.17 X829, 136.10/137.17 binintersect( 136.10/137.17 X826,X827)) => 136.10/137.17 in( 136.10/137.17 X829, 136.10/137.17 binunion( 136.10/137.17 X826,X828))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X830, 136.10/137.17 X831]: 136.10/137.17 (in( 136.10/137.17 X831, 136.10/137.17 powerset( 136.10/137.17 X830)) => 136.10/137.17 (![X832]: 136.10/137.17 (in( 136.10/137.17 X832, 136.10/137.17 powerset( 136.10/137.17 X830)) => 136.10/137.17 (![X833]: 136.10/137.17 (in( 136.10/137.17 X833, 136.10/137.17 powerset( 136.10/137.17 X830)) => 136.10/137.17 (![X834]: 136.10/137.17 (in( 136.10/137.17 X834,X830) => 136.10/137.17 (in( 136.10/137.17 X834, 136.10/137.17 binintersect( 136.10/137.17 X831,X832)) => 136.10/137.17 in( 136.10/137.17 X834, 136.10/137.17 binunion( 136.10/137.17 X832,X833))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X835, 136.10/137.17 X836]: 136.10/137.17 (in( 136.10/137.17 X836, 136.10/137.17 powerset( 136.10/137.17 X835)) => 136.10/137.17 (![X837]: 136.10/137.17 (in( 136.10/137.17 X837, 136.10/137.17 powerset( 136.10/137.17 X835)) => 136.10/137.17 (![X838]: 136.10/137.17 (in( 136.10/137.17 X838, 136.10/137.17 powerset( 136.10/137.17 X835)) => 136.10/137.17 (![X839]: 136.10/137.17 (in( 136.10/137.17 X839,X835) => 136.10/137.17 (in( 136.10/137.17 X839, 136.10/137.17 binintersect( 136.10/137.17 X836,X837)) => 136.10/137.17 in( 136.10/137.17 X839, 136.10/137.17 binintersect( 136.10/137.17 binunion( 136.10/137.17 X836,X838), 136.10/137.17 binunion( 136.10/137.17 X837,X838)))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X840, 136.10/137.17 X841]: 136.10/137.17 (in( 136.10/137.17 X841, 136.10/137.17 powerset( 136.10/137.17 X840)) => 136.10/137.17 (![X842]: 136.10/137.17 (in( 136.10/137.17 X842, 136.10/137.17 powerset( 136.10/137.17 X840)) => 136.10/137.17 (![X843]: 136.10/137.17 (in( 136.10/137.17 X843, 136.10/137.17 powerset( 136.10/137.17 X840)) => 136.10/137.17 in( 136.10/137.17 binintersect( 136.10/137.17 X841,X842), 136.10/137.17 powerset( 136.10/137.17 binintersect( 136.10/137.17 binunion( 136.10/137.17 X841,X843), 136.10/137.17 binunion( 136.10/137.17 X842,X843)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X844, 136.10/137.17 X845]: 136.10/137.17 (in( 136.10/137.17 X845, 136.10/137.17 powerset( 136.10/137.17 X844)) => 136.10/137.17 (![X846]: 136.10/137.17 (in( 136.10/137.17 X846, 136.10/137.17 powerset( 136.10/137.17 X844)) => 136.10/137.17 (![X847]: 136.10/137.17 (in( 136.10/137.17 X847,X844) => 136.10/137.17 (in( 136.10/137.17 X847, 136.10/137.17 setminus( 136.10/137.17 X844, 136.10/137.17 binunion( 136.10/137.17 X845,X846))) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X847,X845))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X848, 136.10/137.17 X849]: 136.10/137.17 (in( 136.10/137.17 X849, 136.10/137.17 powerset( 136.10/137.17 X848)) => 136.10/137.17 (![X850]: 136.10/137.17 (in( 136.10/137.17 X850, 136.10/137.17 powerset( 136.10/137.17 X848)) => 136.10/137.17 (![X851]: 136.10/137.17 (in( 136.10/137.17 X851,X848) => 136.10/137.17 (in( 136.10/137.17 X851, 136.10/137.17 setminus( 136.10/137.17 X848, 136.10/137.17 binunion( 136.10/137.17 X849,X850))) => 136.10/137.17 in( 136.10/137.17 X851, 136.10/137.17 setminus( 136.10/137.17 X848,X849))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X852, 136.10/137.17 X853]: 136.10/137.17 (in( 136.10/137.17 X853, 136.10/137.17 powerset( 136.10/137.17 X852)) => 136.10/137.17 (![X854]: 136.10/137.17 (in( 136.10/137.17 X854, 136.10/137.17 powerset( 136.10/137.17 X852)) => 136.10/137.17 (![X855:$o, 136.10/137.17 X856]: 136.10/137.17 (in( 136.10/137.17 X856,X852) => 136.10/137.17 (in( 136.10/137.17 X856, 136.10/137.17 binunion( 136.10/137.17 X853,X854)) => 136.10/137.17 (( 136.10/137.17 in( 136.10/137.17 X856,X853) => 136.10/137.17 X855) => 136.10/137.17 (( 136.10/137.17 in( 136.10/137.17 X856,X854) => 136.10/137.17 X855) => 136.10/137.17 X855))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X857, 136.10/137.17 X858]: 136.10/137.17 (in( 136.10/137.17 X858, 136.10/137.17 powerset( 136.10/137.17 X857)) => 136.10/137.17 (![X859]: 136.10/137.17 (in( 136.10/137.17 X859, 136.10/137.17 powerset( 136.10/137.17 X857)) => 136.10/137.17 (![X860]: 136.10/137.17 (in( 136.10/137.17 X860,X857) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X860,X858)) => 136.10/137.17 (( 136.10/137.17 ~ 136.10/137.17 in( 136.10/137.17 X860,X859)) => 136.10/137.17 (~ 136.10/137.17 in( 136.10/137.17 X860, 136.10/137.17 binunion( 136.10/137.17 X858,X859))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X861, 136.10/137.17 X862]: 136.10/137.17 (in( 136.10/137.17 X862, 136.10/137.17 powerset( 136.10/137.17 X861)) => 136.10/137.17 (![X863]: 136.10/137.17 (in( 136.10/137.17 X863, 136.10/137.17 powerset( 136.10/137.17 X861)) => 136.10/137.17 (![X864]: 136.10/137.17 (in( 136.10/137.17 X864,X861) => 136.10/137.17 (in( 136.10/137.17 X864, 136.10/137.17 setminus( 136.10/137.17 X861, 136.10/137.17 binunion( 136.10/137.17 X862,X863))) => 136.10/137.17 in( 136.10/137.17 X864, 136.10/137.17 setminus( 136.10/137.17 X861,X862))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X865, 136.10/137.17 X866]: 136.10/137.17 (in( 136.10/137.17 X866, 136.10/137.17 powerset( 136.10/137.17 X865)) => 136.10/137.17 (![X867]: 136.10/137.17 (in( 136.10/137.17 X867, 136.10/137.17 powerset( 136.10/137.17 X865)) => 136.10/137.17 in( 136.10/137.17 setminus( 136.10/137.17 X865, 136.10/137.17 binunion( 136.10/137.17 X866,X867)), 136.10/137.17 powerset( 136.10/137.17 setminus( 136.10/137.17 X865,X866))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X868, 136.10/137.17 X869]: 136.10/137.17 (in( 136.10/137.17 X869, 136.10/137.17 powerset( 136.10/137.17 X868)) => 136.10/137.17 (![X870]: 136.10/137.17 (in( 136.10/137.17 X870, 136.10/137.17 powerset( 136.10/137.17 X868)) => 136.10/137.17 (![X871]: 136.10/137.17 (in( 136.10/137.17 X871,X868) => 136.10/137.17 (in( 136.10/137.17 X871, 136.10/137.17 setminus( 136.10/137.17 X868, 136.10/137.17 binunion( 136.10/137.17 X869,X870))) => 136.10/137.17 in( 136.10/137.17 X871, 136.10/137.17 setminus( 136.10/137.17 X868,X870))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X872, 136.10/137.17 X873]: 136.10/137.17 (in( 136.10/137.17 X873, 136.10/137.17 powerset( 136.10/137.17 X872)) => 136.10/137.17 (![X874]: 136.10/137.17 (in( 136.10/137.17 X874, 136.10/137.17 powerset( 136.10/137.17 X872)) => 136.10/137.17 (![X875]: 136.10/137.17 (in( 136.10/137.17 X875,X872) => 136.10/137.17 (in( 136.10/137.17 X875, 136.10/137.17 setminus( 136.10/137.17 X872, 136.10/137.17 binintersect( 136.10/137.17 X873,X874))) => 136.10/137.17 in( 136.10/137.17 X875, 136.10/137.17 binunion( 136.10/137.17 setminus( 136.10/137.17 X872,X873), 136.10/137.17 setminus( 136.10/137.17 X872,X874)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X876, 136.10/137.17 X877]: 136.10/137.17 (in( 136.10/137.17 X877, 136.10/137.17 powerset( 136.10/137.17 X876)) => 136.10/137.17 (![X878]: 136.10/137.17 (in( 136.10/137.17 X878, 136.10/137.17 powerset( 136.10/137.17 X876)) => 136.10/137.17 (![X879]: 136.10/137.17 (in( 136.10/137.17 X879,X876) => 136.10/137.17 (in( 136.10/137.17 X879, 136.10/137.17 binunion( 136.10/137.17 setminus( 136.10/137.17 X876,X877), 136.10/137.17 setminus( 136.10/137.17 X876,X878))) => 136.10/137.17 in( 136.10/137.17 X879, 136.10/137.17 setminus( 136.10/137.17 X876, 136.10/137.17 binintersect( 136.10/137.17 X877,X878)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X880, 136.10/137.17 X881]: 136.10/137.17 (in( 136.10/137.17 X881, 136.10/137.17 powerset( 136.10/137.17 X880)) => 136.10/137.17 (![X882]: 136.10/137.17 (in( 136.10/137.17 X882, 136.10/137.17 powerset( 136.10/137.17 X880)) => 136.10/137.17 (setminus( 136.10/137.17 X880, 136.10/137.17 binintersect( 136.10/137.17 X881,X882)) = 136.10/137.17 binunion( 136.10/137.17 setminus( 136.10/137.17 X880,X881), 136.10/137.17 setminus( 136.10/137.17 X880,X882))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X883, 136.10/137.17 X884]: 136.10/137.17 (in( 136.10/137.17 X884, 136.10/137.17 powerset( 136.10/137.17 X883)) => 136.10/137.17 (![X885]: 136.10/137.17 (in( 136.10/137.17 X885, 136.10/137.17 powerset( 136.10/137.17 X883)) => 136.10/137.17 (![X886]: 136.10/137.17 (in( 136.10/137.17 X886,X883) => 136.10/137.17 (in( 136.10/137.17 X886, 136.10/137.17 setminus( 136.10/137.17 X883, 136.10/137.17 binunion( 136.10/137.17 X884,X885))) => 136.10/137.17 in( 136.10/137.17 X886, 136.10/137.17 binintersect( 136.10/137.17 setminus( 136.10/137.17 X883,X884), 136.10/137.17 setminus( 136.10/137.17 X883,X885)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X887, 136.10/137.17 X888]: 136.10/137.17 (in( 136.10/137.17 X888, 136.10/137.17 powerset( 136.10/137.17 X887)) => 136.10/137.17 (![X889]: 136.10/137.17 (in( 136.10/137.17 X889, 136.10/137.17 powerset( 136.10/137.17 X887)) => 136.10/137.17 (![X890]: 136.10/137.17 (in( 136.10/137.17 X890,X887) => 136.10/137.17 (in( 136.10/137.17 X890, 136.10/137.17 setminus( 136.10/137.17 X887,X888)) => 136.10/137.17 (in( 136.10/137.17 X890, 136.10/137.17 setminus( 136.10/137.17 X887,X889)) => 136.10/137.17 in( 136.10/137.17 X890, 136.10/137.17 setminus( 136.10/137.17 X887, 136.10/137.17 binunion( 136.10/137.17 X888,X889))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X891, 136.10/137.17 X892]: 136.10/137.17 (in( 136.10/137.17 X892, 136.10/137.17 powerset( 136.10/137.17 X891)) => 136.10/137.17 (![X893]: 136.10/137.17 (in( 136.10/137.17 X893, 136.10/137.17 powerset( 136.10/137.17 X891)) => 136.10/137.17 (![X894]: 136.10/137.17 (in( 136.10/137.17 X894,X891) => 136.10/137.17 (in( 136.10/137.17 X894, 136.10/137.17 binintersect( 136.10/137.17 setminus( 136.10/137.17 X891,X892), 136.10/137.17 setminus( 136.10/137.17 X891,X893))) => 136.10/137.17 in( 136.10/137.17 X894, 136.10/137.17 setminus( 136.10/137.17 X891, 136.10/137.17 binunion( 136.10/137.17 X892,X893)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X895, 136.10/137.17 X896]: 136.10/137.17 (in( 136.10/137.17 X896, 136.10/137.17 powerset( 136.10/137.17 X895)) => 136.10/137.17 (![X897]: 136.10/137.17 (in( 136.10/137.17 X897, 136.10/137.17 powerset( 136.10/137.17 X895)) => 136.10/137.17 (setminus( 136.10/137.17 X895, 136.10/137.17 binunion( 136.10/137.17 X896,X897)) = 136.10/137.17 binintersect( 136.10/137.17 setminus( 136.10/137.17 X895,X896), 136.10/137.17 setminus( 136.10/137.17 X895,X897))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X898, 136.10/137.17 X899]: 136.10/137.17 (in( 136.10/137.17 X899, 136.10/137.17 powerset( 136.10/137.17 X898)) => 136.10/137.17 (![X900]: 136.10/137.17 (in( 136.10/137.17 X900, 136.10/137.17 powerset( 136.10/137.17 X898)) => 136.10/137.17 (![X901]: 136.10/137.17 (in( 136.10/137.17 X901, 136.10/137.17 binintersect( 136.10/137.17 X899,X900)) => 136.10/137.17 in( 136.10/137.17 X901,X898))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X902, 136.10/137.17 X903]: 136.10/137.17 (in( 136.10/137.17 X903, 136.10/137.17 powerset( 136.10/137.17 X902)) => 136.10/137.17 (![X904]: 136.10/137.17 (in( 136.10/137.17 X904, 136.10/137.17 powerset( 136.10/137.17 X902)) => 136.10/137.17 (![X905]: 136.10/137.17 (in( 136.10/137.17 X905, 136.10/137.17 powerset( 136.10/137.17 X902)) => 136.10/137.17 (subset( 136.10/137.17 X903,X905) => 136.10/137.17 subset( 136.10/137.17 binintersect( 136.10/137.17 X903,X904), 136.10/137.17 X905)))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X906, 136.10/137.17 X907]: 136.10/137.17 (in( 136.10/137.17 X907, 136.10/137.17 powerset( 136.10/137.17 X906)) => 136.10/137.17 (![X908]: 136.10/137.17 (in( 136.10/137.17 X908, 136.10/137.17 powerset( 136.10/137.17 X906)) => 136.10/137.17 (![X909]: 136.10/137.17 (in( 136.10/137.17 X909, 136.10/137.17 powerset( 136.10/137.17 X906)) => 136.10/137.17 (subset( 136.10/137.17 X908,X909) => 136.10/137.17 subset( 136.10/137.17 binintersect( 136.10/137.17 X907,X908), 136.10/137.17 X909)))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X910, 136.10/137.17 X911]: 136.10/137.17 (in( 136.10/137.17 X911, 136.10/137.17 powerset( 136.10/137.17 X910)) => 136.10/137.17 (![X912]: 136.10/137.17 (in( 136.10/137.17 X912, 136.10/137.17 powerset( 136.10/137.17 X910)) => 136.10/137.17 (![X913]: 136.10/137.17 (in( 136.10/137.17 X913, 136.10/137.17 powerset( 136.10/137.17 X910)) => 136.10/137.17 (subset( 136.10/137.17 X911,X912) => 136.10/137.17 (subset( 136.10/137.17 X911,X913) => 136.10/137.17 subset( 136.10/137.17 X911, 136.10/137.17 binintersect( 136.10/137.17 X912,X913)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X914, 136.10/137.17 X915]: 136.10/137.17 (in( 136.10/137.17 X915, 136.10/137.17 powerset( 136.10/137.17 X914)) => 136.10/137.17 (![X916]: 136.10/137.17 (in( 136.10/137.17 X916, 136.10/137.17 powerset( 136.10/137.17 X914)) => 136.10/137.17 (![X917]: 136.10/137.17 (in( 136.10/137.17 X917, 136.10/137.17 powerset( 136.10/137.17 X914)) => 136.10/137.17 (![X918]: 136.10/137.17 (in( 136.10/137.17 X918, 136.10/137.17 powerset( 136.10/137.17 X914)) => 136.10/137.17 (subset( 136.10/137.17 X915,X917) => 136.10/137.17 (subset( 136.10/137.17 X916,X918) => 136.10/137.17 subset( 136.10/137.17 binintersect( 136.10/137.17 X915,X916), 136.10/137.17 binintersect( 136.10/137.17 X917,X918)))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X919, 136.10/137.17 X920]: 136.10/137.17 (in( 136.10/137.17 X920, 136.10/137.17 powerset( 136.10/137.17 X919)) => 136.10/137.17 (![X921]: 136.10/137.17 (in( 136.10/137.17 X921, 136.10/137.17 powerset( 136.10/137.17 X919)) => 136.10/137.17 in( 136.10/137.17 setminus( 136.10/137.17 X919,X920), 136.10/137.17 powerset( 136.10/137.17 setminus( 136.10/137.17 X919, 136.10/137.17 binintersect( 136.10/137.17 X920,X921)))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X922, 136.10/137.17 X923]: 136.10/137.17 (in( 136.10/137.17 X923, 136.10/137.17 powerset( 136.10/137.17 X922)) => 136.10/137.17 (![X924]: 136.10/137.17 (in( 136.10/137.17 X924, 136.10/137.17 powerset( 136.10/137.17 X922)) => 136.10/137.17 (![X925]: 136.10/137.17 (in( 136.10/137.17 X925, 136.10/137.17 powerset( 136.10/137.17 X922)) => 136.10/137.17 (![X926]: 136.10/137.17 (in( 136.10/137.17 X926, 136.10/137.17 powerset( 136.10/137.17 X922)) => 136.10/137.17 (setminus( 136.10/137.17 X922, 136.10/137.17 binintersect( 136.10/137.17 binunion( 136.10/137.17 X923,X924), 136.10/137.17 binunion( 136.10/137.17 X925,X926))) = 136.10/137.17 binunion( 136.10/137.17 binintersect( 136.10/137.17 setminus( 136.10/137.17 X922,X923), 136.10/137.17 setminus( 136.10/137.17 X922,X924)), 136.10/137.17 binintersect( 136.10/137.17 setminus( 136.10/137.17 X922,X925), 136.10/137.17 setminus( 136.10/137.17 X922,X926)))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X927, 136.10/137.17 X928]: 136.10/137.17 (in( 136.10/137.17 X928, 136.10/137.17 powerset( 136.10/137.17 X927)) => 136.10/137.17 (![X929]: 136.10/137.17 (in( 136.10/137.17 X929, 136.10/137.17 powerset( 136.10/137.17 X927)) => 136.10/137.17 (![X930]: 136.10/137.17 (in( 136.10/137.17 X930, 136.10/137.17 powerset( 136.10/137.17 X927)) => 136.10/137.17 in( 136.10/137.17 binintersect( 136.10/137.17 X928,X929), 136.10/137.17 powerset( 136.10/137.17 binintersect( 136.10/137.17 binunion( 136.10/137.17 X928,X930), 136.10/137.17 binunion( 136.10/137.17 X929,X930)))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X931, 136.10/137.17 X932]: 136.10/137.17 (in( 136.10/137.17 X932, 136.10/137.17 powerset( 136.10/137.17 X931)) => 136.10/137.17 (![X933]: 136.10/137.17 (in( 136.10/137.17 X933, 136.10/137.17 powerset( 136.10/137.17 X931)) => 136.10/137.17 (subset( 136.10/137.17 X932, 136.10/137.17 setminus( 136.10/137.17 X931,X933)) => 136.10/137.17 subset( 136.10/137.17 X933, 136.10/137.17 setminus( 136.10/137.17 X931,X932))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X934, 136.10/137.17 X935]: 136.10/137.17 (in( 136.10/137.17 X935, 136.10/137.17 powerset( 136.10/137.17 X934)) => 136.10/137.17 (![X936]: 136.10/137.17 (in( 136.10/137.17 X936, 136.10/137.17 powerset( 136.10/137.17 X934)) => 136.10/137.17 in( 136.10/137.17 setminus( 136.10/137.17 X934, 136.10/137.17 binunion( 136.10/137.17 X935,X936)), 136.10/137.17 powerset( 136.10/137.17 setminus( 136.10/137.17 X934,X935))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X937, 136.10/137.17 X938]: 136.10/137.17 (breln1( 136.10/137.17 X937,X938) => 136.10/137.17 (![X939:( 136.10/137.17 $i > $o)]: 136.10/137.17 (( 136.10/137.17 ![X940]: 136.10/137.17 (in( 136.10/137.17 X940,X937) => 136.10/137.17 (![X941]: 136.10/137.17 (in( 136.10/137.17 X941,X937) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X940,X941), 136.10/137.17 X938) => 136.10/137.17 X939( 136.10/137.17 kpair( 136.10/137.17 X940,X941))))))) => 136.10/137.17 (![X942]: 136.10/137.17 (in( 136.10/137.17 X942,X938) => 136.10/137.17 X939( 136.10/137.17 X942))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X943, 136.10/137.17 X944]: 136.10/137.17 (in( 136.10/137.17 X944, 136.10/137.17 breln1Set( 136.10/137.17 X943)) => 136.10/137.17 breln1( 136.10/137.17 X943,X944))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X945, 136.10/137.17 X946, 136.10/137.17 X947:( 136.10/137.17 ($i * $i) > 136.10/137.17 $o)]: 136.10/137.17 (( 136.10/137.17 ![X948]: 136.10/137.17 (in( 136.10/137.17 X948,X945) => 136.10/137.17 (?[X949]: 136.10/137.17 (in( 136.10/137.17 X949,X946) & 136.10/137.17 X947( 136.10/137.17 X948,X949))))) => 136.10/137.17 (![X950]: 136.10/137.17 (in( 136.10/137.17 X950, 136.10/137.17 breln1Set( 136.10/137.17 X946)) => 136.10/137.17 (reflwellordering( 136.10/137.17 X946,X950) => 136.10/137.17 (![X951]: 136.10/137.17 (in( 136.10/137.17 X951,X945) => 136.10/137.17 singleton( 136.10/137.17 dsetconstr( 136.10/137.17 X946, 136.10/137.17 ^[V_53]: 136.10/137.17 (X947( 136.10/137.17 X951,V_53) & 136.10/137.17 (![X952]: 136.10/137.17 (in( 136.10/137.17 X952,X946) => 136.10/137.17 (X947( 136.10/137.17 X951,X952) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 V_53,X952), 136.10/137.17 X950)))))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X953, 136.10/137.17 X954:( 136.10/137.17 ($i * $i) > 136.10/137.17 $o)]: 136.10/137.17 breln1( 136.10/137.17 X953, 136.10/137.17 dpsetconstr( 136.10/137.17 X953, 136.10/137.17 X953, 136.10/137.17 ^[V_54, 136.10/137.17 V_55]: 136.10/137.17 X954( 136.10/137.17 V_54,V_55)))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X955, 136.10/137.17 X956]: 136.10/137.17 (breln1( 136.10/137.17 X955,X956) => 136.10/137.17 (![X957:( 136.10/137.17 $i > $o)]: 136.10/137.17 (( 136.10/137.17 ![X958]: 136.10/137.17 (in( 136.10/137.17 X958,X955) => 136.10/137.17 (![X959]: 136.10/137.17 (in( 136.10/137.17 X959,X955) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X958,X959), 136.10/137.17 X956) => 136.10/137.17 X957( 136.10/137.17 kpair( 136.10/137.17 X958,X959))))))) => 136.10/137.17 (![X960]: 136.10/137.17 (in( 136.10/137.17 X960,X956) => 136.10/137.17 X957( 136.10/137.17 X960))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X961, 136.10/137.17 X962]: 136.10/137.17 (breln1( 136.10/137.17 X961,X962) => 136.10/137.17 (![X963]: 136.10/137.17 (breln1( 136.10/137.17 X961,X963) => 136.10/137.17 (( 136.10/137.17 ![X964]: 136.10/137.17 (in( 136.10/137.17 X964,X961) => 136.10/137.17 (![X965]: 136.10/137.17 (in( 136.10/137.17 X965,X961) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X964,X965), 136.10/137.17 X962) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X964,X965), 136.10/137.17 X963)))))) => 136.10/137.17 subset( 136.10/137.17 X962,X963)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X966, 136.10/137.17 X967]: 136.10/137.17 (breln1( 136.10/137.17 X966,X967) => 136.10/137.17 (![X968]: 136.10/137.17 (breln1( 136.10/137.17 X966,X968) => 136.10/137.17 (( 136.10/137.17 ![X969]: 136.10/137.17 (in( 136.10/137.17 X969,X966) => 136.10/137.17 (![X970]: 136.10/137.17 (in( 136.10/137.17 X970,X966) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X969,X970), 136.10/137.17 X967) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X969,X970), 136.10/137.17 X968)))))) => 136.10/137.17 (( 136.10/137.17 ![X971]: 136.10/137.17 (in( 136.10/137.17 X971,X966) => 136.10/137.17 (![X972]: 136.10/137.17 (in( 136.10/137.17 X972,X966) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X971,X972), 136.10/137.17 X968) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X971,X972), 136.10/137.17 X967)))))) => 136.10/137.17 (X967 = 136.10/137.17 X968))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X973, 136.10/137.17 X974]: 136.10/137.17 (breln1( 136.10/137.17 X973,X974) => 136.10/137.17 breln1( 136.10/137.17 X973, 136.10/137.17 breln1invset( 136.10/137.17 X973,X974)))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X975, 136.10/137.17 X976]: 136.10/137.17 (breln1( 136.10/137.17 X975,X976) => 136.10/137.17 (![X977]: 136.10/137.17 (in( 136.10/137.17 X977,X975) => 136.10/137.17 (![X978]: 136.10/137.17 (in( 136.10/137.17 X978,X975) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X977,X978), 136.10/137.17 X976) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X978,X977), 136.10/137.17 breln1invset( 136.10/137.17 X975,X976))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X979, 136.10/137.17 X980]: 136.10/137.17 (breln1( 136.10/137.17 X979,X980) => 136.10/137.17 (![X981]: 136.10/137.17 (in( 136.10/137.17 X981,X979) => 136.10/137.17 (![X982]: 136.10/137.17 (in( 136.10/137.17 X982,X979) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X982,X981), 136.10/137.17 breln1invset( 136.10/137.17 X979,X980)) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X981,X982), 136.10/137.17 X980)))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X983, 136.10/137.17 X984]: 136.10/137.17 (breln1( 136.10/137.17 X983,X984) => 136.10/137.17 (![X985]: 136.10/137.17 (breln1( 136.10/137.17 X983,X985) => 136.10/137.17 breln1( 136.10/137.17 X983, 136.10/137.17 breln1compset( 136.10/137.17 X983, 136.10/137.17 X984,X985)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X986, 136.10/137.17 X987]: 136.10/137.17 (breln1( 136.10/137.17 X986,X987) => 136.10/137.17 (![X988]: 136.10/137.17 (breln1( 136.10/137.17 X986,X988) => 136.10/137.17 (![X989]: 136.10/137.17 (in( 136.10/137.17 X989,X986) => 136.10/137.17 (![X990]: 136.10/137.17 (in( 136.10/137.17 X990,X986) => 136.10/137.17 (![X991]: 136.10/137.17 (in( 136.10/137.17 X991,X986) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X989,X991), 136.10/137.17 X987) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X991,X990), 136.10/137.17 X988) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X989,X990), 136.10/137.17 breln1compset( 136.10/137.17 X986, 136.10/137.17 X987,X988)))))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X992, 136.10/137.17 X993]: 136.10/137.17 (breln1( 136.10/137.17 X992,X993) => 136.10/137.17 (![X994]: 136.10/137.17 (breln1( 136.10/137.17 X992,X994) => 136.10/137.17 (![X995]: 136.10/137.17 (in( 136.10/137.17 X995,X992) => 136.10/137.17 (![X996]: 136.10/137.17 (in( 136.10/137.17 X996,X992) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X995,X996), 136.10/137.17 breln1compset( 136.10/137.17 X992, 136.10/137.17 X993,X994)) => 136.10/137.17 (?[X997]: 136.10/137.17 (in( 136.10/137.17 X997,X992) & 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X995,X997), 136.10/137.17 X993) & 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X997,X996), 136.10/137.17 X994)))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X998, 136.10/137.17 X999]: 136.10/137.17 (breln1( 136.10/137.17 X998,X999) => 136.10/137.17 (![X1000]: 136.10/137.17 (breln1( 136.10/137.17 X998, 136.10/137.17 X1000) => 136.10/137.17 (![X1001]: 136.10/137.17 (in( 136.10/137.17 X1001, 136.10/137.17 X998) => 136.10/137.17 (![X1002]: 136.10/137.17 (in( 136.10/137.17 X1002, 136.10/137.17 X998) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X1001, 136.10/137.17 X1002), 136.10/137.17 breln1compset( 136.10/137.17 X998, 136.10/137.17 X999, 136.10/137.17 X1000)) => 136.10/137.17 (![X1003:$o]: 136.10/137.17 (( 136.10/137.17 ![X1004]: 136.10/137.17 (in( 136.10/137.17 X1004, 136.10/137.17 X998) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X1001, 136.10/137.17 X1004), 136.10/137.17 X999) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X1004, 136.10/137.17 X1002), 136.10/137.17 X1000) => 136.10/137.17 X1003)))) => 136.10/137.17 X1003))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X1005, 136.10/137.17 X1006]: 136.10/137.17 (breln1( 136.10/137.17 X1005, 136.10/137.17 X1006) => 136.10/137.17 (![X1007]: 136.10/137.17 (breln1( 136.10/137.17 X1005, 136.10/137.17 X1007) => 136.10/137.17 breln1( 136.10/137.17 X1005, 136.10/137.17 binunion( 136.10/137.17 X1006, 136.10/137.17 X1007)))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X1008, 136.10/137.17 X1009]: 136.10/137.17 (breln1( 136.10/137.17 X1008, 136.10/137.17 X1009) => 136.10/137.17 (![X1010]: 136.10/137.17 (breln1( 136.10/137.17 X1008, 136.10/137.17 X1010) => 136.10/137.17 (![X1011]: 136.10/137.17 (in( 136.10/137.17 X1011, 136.10/137.17 X1008) => 136.10/137.17 (![X1012]: 136.10/137.17 (in( 136.10/137.17 X1012, 136.10/137.17 X1008) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X1011, 136.10/137.17 X1012), 136.10/137.17 X1009) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X1011, 136.10/137.17 X1012), 136.10/137.17 binunion( 136.10/137.17 X1009, 136.10/137.17 X1010))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X1013, 136.10/137.17 X1014]: 136.10/137.17 (breln1( 136.10/137.17 X1013, 136.10/137.17 X1014) => 136.10/137.17 (![X1015]: 136.10/137.17 (breln1( 136.10/137.17 X1013, 136.10/137.17 X1015) => 136.10/137.17 (![X1016]: 136.10/137.17 (in( 136.10/137.17 X1016, 136.10/137.17 X1013) => 136.10/137.17 (![X1017]: 136.10/137.17 (in( 136.10/137.17 X1017, 136.10/137.17 X1013) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X1016, 136.10/137.17 X1017), 136.10/137.17 X1015) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X1016, 136.10/137.17 X1017), 136.10/137.17 binunion( 136.10/137.17 X1014, 136.10/137.17 X1015))))))))))) => 136.10/137.17 ( 136.10/137.17 ( 136.10/137.17 ![X1018, 136.10/137.17 X1019]: 136.10/137.17 (breln1( 136.10/137.17 X1018, 136.10/137.17 X1019) => 136.10/137.17 (![X1020]: 136.10/137.17 (breln1( 136.10/137.17 X1018, 136.10/137.17 X1020) => 136.10/137.17 (![X1021]: 136.10/137.17 (in( 136.10/137.17 X1021, 136.10/137.17 X1018) => 136.10/137.17 (![X1022]: 136.10/137.17 (in( 136.10/137.17 X1022, 136.10/137.17 X1018) => 136.10/137.17 (( 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X1021, 136.10/137.17 X1022), 136.10/137.17 X1019) | 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X1021, 136.10/137.17 X1022), 136.10/137.17 X1020)) => 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X1021, 136.10/137.17 X1022), 136.10/137.17 binunion( 136.10/137.17 X1019, 136.10/137.17 X1020))))))))))) => 136.10/137.17 ( 136.10/137.17 ![X1023, 136.10/137.17 X1024]: 136.10/137.17 (breln1( 136.10/137.17 X1023, 136.10/137.17 X1024) => 136.10/137.17 (![X1025]: 136.10/137.17 (breln1( 136.10/137.17 X1023, 136.10/137.17 X1025) => 136.10/137.17 (![X1026]: 136.10/137.17 (in( 136.10/137.17 X1026, 136.10/137.17 X1023) => 136.10/137.17 (![X1027]: 136.10/137.17 (in( 136.10/137.17 X1027, 136.10/137.17 X1023) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X1026, 136.10/137.17 X1027), 136.10/137.17 binunion( 136.10/137.17 X1024, 136.10/137.17 X1025)) => 136.10/137.17 (in( 136.10/137.17 kpair( 136.10/137.17 X1026, 136.10/137.17 X1027), 136.10/137.17 X1025) | 136.10/137.17 in( 136.10/137.17 kpair( 136.10/137.17 X1026, 136.10/137.17 X1027), 136.10/137.17 X1024)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 136.10/137.17 tff(zf_stmt_1, type, zip_tseitin5 : ($i * $i > $o) > $o). 136.10/137.17 tff(zf_stmt_2, axiom, 136.10/137.17 (zip_tseitin5(X211,X207) <=> 136.10/137.17 ((![X212]: zip_tseitin4(X212,X211,X207)) & X207(X211)))). 136.10/137.17 tff(zf_stmt_3, type, zip_tseitin4 : ($i * $i * $i > $o) > $o). 136.10/137.17 tff(zf_stmt_4, axiom, 136.10/137.17 (zip_tseitin4(X212,X211,X207) <=> (X207(X212) => (X211 = X212)))). 136.10/137.17 tff(zf_stmt_5, type, zip_tseitin3 : ($i * $i * $i * ($i * $i) > $o) > $o). 136.10/137.17 tff(zf_stmt_6, axiom, 136.10/137.17 (zip_tseitin3(X26,X25,X20,X19) <=> (X19(X26,X25) & in(X26,X20)))). 136.10/137.17 tff(zf_stmt_7, type, zip_tseitin2 : ($i * $i * $i) > $o). 136.10/137.17 tff(zf_stmt_8, axiom, 136.10/137.17 (zip_tseitin2(X14,X13,X12) <=> (in(X14,X12) & in(X13,X14)))). 136.10/137.17 tff(zf_stmt_9, type, zip_tseitin1 : ($i * $i * $i) > $o). 136.10/137.17 tff(zf_stmt_10, axiom, 136.10/137.17 (zip_tseitin1(X11,X10,X9) <=> (in(X11,X10) => in(X11,X9)))). 136.10/137.17 tff(zf_stmt_11, type, zip_tseitin0 : ($i * $i * $i) > $o). 136.10/137.17 tff(zf_stmt_12, axiom, (zip_tseitin0(X8,X7,X6) <=> (in(X8,X7) | (X8 = X6)))). 136.10/137.17 tff(zf_stmt_13, conjecture, 136.10/137.17 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 136.10/137.17 ((![X5]: (~in(X5,emptyset))) => 136.10/137.17 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 136.10/137.17 ((![X9,X10]: 136.10/137.17 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 136.10/137.17 ((![X12,X13]: 136.10/137.17 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 136.10/137.17 (in(emptyset,omega) => 136.10/137.17 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 136.10/137.17 ((![X16]: 136.10/137.17 (((![X17]: 136.10/137.17 ((in(X17,X16) & in(X17,omega)) => 136.10/137.17 in(setadjoin(X17,X17),X16))) & 136.10/137.17 in(emptyset,X16)) => 136.10/137.17 (![X18]: (in(X18,omega) => in(X18,X16))))) => 136.10/137.17 ((![X19:(($i * $i) > $o),X20]: 136.10/137.17 ((![X21]: 136.10/137.17 (in(X21,X20) => 136.10/137.17 (?[X22]: 136.10/137.17 ((![X23]: (X19(X21,X23) => (X22 = X23))) & X19(X21,X22))))) => 136.10/137.17 (?[X24]: 136.10/137.17 (![X25]: 136.10/137.17 (in(X25,X24) <=> (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 136.10/137.17 ((![X27]: 136.10/137.17 ((?[X28]: in(X28,X27)) => 136.10/137.17 (?[X29]: 136.10/137.17 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 136.10/137.17 ((![X31]: 136.10/137.17 (?[X32]: 136.10/137.17 ((![X33]: 136.10/137.17 (((?[X34]: in(X34,X33)) & 136.10/137.17 (![X35]: (in(X35,X33) => in(X35,X31)))) => 136.10/137.17 (?[X36,X37]: 136.10/137.17 ((![X38]: 136.10/137.17 (in(X38,X32) => 136.10/137.17 (in(X37,X38) | 136.10/137.17 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 136.10/137.17 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 136.10/137.17 in(X37,X33) & in(X36,X32))))) & 136.10/137.17 (![X41,X42]: 136.10/137.17 ((in(X42,X32) & in(X41,X32)) => 136.10/137.17 ((![X43]: (in(X43,X42) => in(X43,X41))) | 136.10/137.17 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 136.10/137.17 (![X45,X46]: 136.10/137.17 ((in(X46,X31) & in(X45,X31)) => 136.10/137.17 ((![X47]: 136.10/137.17 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 136.10/137.17 (X45 = X46)))) & 136.10/137.17 (![X48]: 136.10/137.17 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 136.10/137.17 ((![X50:($i > $o)]: 136.10/137.17 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 136.10/137.17 X50(descr(^[V_1]: X50(V_1))))) => 136.10/137.17 ((![X53,X54:($i > $o),X55]: 136.10/137.17 (in(X55,X53) => 136.10/137.17 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 136.10/137.17 ((![X56,X57:($i > $o),X58]: 136.10/137.17 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 136.10/137.17 ((![X59,X60:($i > $o),X61]: 136.10/137.17 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 136.10/137.17 ((![X62:($i > $o)]: 136.10/137.17 ((?[X63]: 136.10/137.17 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 136.10/137.17 (?[X65]: 136.10/137.17 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 136.10/137.17 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 136.10/137.17 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 136.10/137.17 ((![X71]: (in(X71,emptyset) => $false)) => 136.10/137.17 ((![X72]: (~in(X72,emptyset))) => 136.10/137.17 ((![X73:($i > $o)]: 136.10/137.17 ((?[X74]: 136.10/137.17 ((![X75]: (X73(X75) => (X74 = X75))) & X73(X74))) => 136.10/137.17 (?[X76]: X73(X76)))) => 136.10/137.17 ((![X77,X78]: 136.10/137.17 ((![X79]: (in(X79,X77) => in(X79,X78))) => 136.10/137.17 ((![X80]: (in(X80,X78) => in(X80,X77))) => 136.10/137.17 (X77 = X78)))) => 136.10/137.17 ((![X81]: 136.10/137.17 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 136.10/137.17 ((![X83]: 136.10/137.17 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 136.10/137.17 ((![X85,X86:($i > $o),X87]: 136.10/137.17 (in(X87,X85) => 136.10/137.17 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 136.10/137.17 X86(X87)))) => 136.10/137.17 ((![X88]: 136.10/137.17 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 136.10/137.17 ((![X90,X91:($i > $o),X92]: 136.10/137.17 (in(X92,X90) => 136.10/137.17 (X91(X92) => 136.10/137.17 (dsetconstr(X90,^[V_6]: X91(V_6)) != 136.10/137.17 emptyset)))) => 136.10/137.17 ((![X93]: 136.10/137.17 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 136.10/137.17 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 136.10/137.17 (in(emptyset,setadjoin(emptyset,emptyset)) => 136.10/137.17 ((![X97,X98,X99]: 136.10/137.17 (in(X99,X98) => 136.10/137.17 in(X99,setadjoin(X97,X98)))) => 136.10/137.17 ((![X100,X101,X102]: 136.10/137.17 (in(X102,setadjoin(X100,X101)) => 136.10/137.17 (![X103:$o]: 136.10/137.17 (((X102 = X100) => X103) => 136.10/137.17 ((in(X102,X101) => X103) => X103))))) => 136.10/137.17 ((![X104,X105,X106]: 136.10/137.17 (in(X106,setadjoin(X104,X105)) => 136.10/137.17 (in(X106,X105) | (X106 = X104)))) => 136.10/137.17 ((![X107]: 136.10/137.17 (dsetconstr(X107,^[V_7]: $true) = X107)) => 136.10/137.17 ((![X108,X109]: 136.10/137.17 ((![X110]: 136.10/137.17 (in(X110,X109) => in(X110,X108))) => 136.10/137.17 in(X109,powerset(X108)))) => 136.10/137.17 ((![X111]: in(emptyset,powerset(X111))) => 136.10/137.17 ((![X112]: in(emptyset,powerset(X112))) => 136.10/137.17 ((![X113,X114,X115]: 136.10/137.17 (in(X114,powerset(X113)) => 136.10/137.17 (in(X115,X114) => in(X115,X113)))) => 136.10/137.17 ((![X116,X117,X118]: 136.10/137.17 (in(X117,X118) => 136.10/137.17 (in(X118,X116) => 136.10/137.17 in(X117,setunion(X116))))) => 136.10/137.17 ((![X119,X120]: 136.10/137.17 (in(X120,setunion(X119)) => 136.10/137.17 (![X121:$o]: 136.10/137.17 ((![X122]: 136.10/137.17 (in(X120,X122) => 136.10/137.17 (in(X122,X119) => X121))) => 136.10/137.17 X121)))) => 136.10/137.17 ((![X123,X124]: 136.10/137.17 (in(X124,X123) => 136.10/137.17 in(X124, 136.10/137.17 powerset(setunion(X123))))) => 136.10/137.17 ((![X125:($i > $o)]: 136.10/137.17 ((?[X126]: 136.10/137.17 ((![X127]: 136.10/137.17 (X125(X127) => 136.10/137.17 (X126 = X127))) & 136.10/137.17 X125(X126))) => 136.10/137.17 (?[X128]: 136.10/137.17 (![X129]: 136.10/137.17 (X125(X129) <=> 136.10/137.17 (X129 = X128)))))) => 136.10/137.17 ((![X130]: 136.10/137.17 ((X130 != emptyset) => 136.10/137.17 (?[X131]: in(X131,X130)))) => 136.10/137.17 ((![X132,X133]: 136.10/137.17 (in(X132, 136.10/137.17 setadjoin(X133,emptyset)) => 136.10/137.17 (X132 = X133))) => 136.10/137.17 ((![X134,X135]: 136.10/137.17 ((X134 != X135) => 136.10/137.17 (~ 136.10/137.17 in(X135, 136.10/137.17 setadjoin(X134, 136.10/137.17 emptyset))))) => 136.10/137.17 ((![X136,X137]: 136.10/137.17 ((X136 = X137) => 136.10/137.17 in(X136, 136.10/137.17 setadjoin(X137, 136.10/137.17 emptyset)))) => 136.10/137.17 ((![X138,X139]: 136.10/137.17 (in(X138, 136.10/137.17 setadjoin(X139, 136.10/137.17 emptyset)) => 136.10/137.17 in(X139, 136.10/137.17 setadjoin(X138, 136.10/137.17 emptyset)))) => 136.10/137.17 ((![X140,X141,X142]: 136.10/137.17 (in(X142, 136.10/137.17 setadjoin(X140, 136.10/137.17 setadjoin( 136.10/137.17 X141, 136.10/137.17 emptyset))) => 136.10/137.17 ((X142 = X141) | 136.10/137.17 (X142 = X140)))) => 136.10/137.17 ((![X143,X144]: 136.10/137.17 in(X143, 136.10/137.17 setadjoin(X143, 136.10/137.17 setadjoin( 136.10/137.17 X144, 136.10/137.17 emptyset)))) => 136.10/137.17 ((![X145,X146]: 136.10/137.17 in(X146, 136.10/137.17 setadjoin(X145, 136.10/137.17 setadjoin( 136.10/137.17 X146, 136.10/137.17 emptyset)))) => 136.10/137.17 ((![X147,X148:($i > $o)]: 136.10/137.17 ((?[X149]: 136.10/137.17 (X148(X149) & 136.10/137.17 in(X149,X147))) => 136.10/137.17 ((dsetconstr( 136.10/137.17 X147, 136.10/137.17 ^[V_8]: X148(V_8)) = 136.10/137.17 emptyset) => 136.10/137.17 $false))) => 136.10/137.17 ((![X150:($i > $o),X151]: 136.10/137.17 (in(X151,emptyset) => 136.10/137.17 X150(X151))) => 136.10/137.17 ((![X152,X153:($i > $o)]: 136.10/137.17 ((~ 136.10/137.17 (![X154]: 136.10/137.17 (in(X154,X152) => 136.10/137.17 X153(X154)))) => 136.10/137.17 (?[X155]: 136.10/137.17 ((~X153(X155)) & 136.10/137.17 in(X155,X152))))) => 136.10/137.17 ((![X156, 136.10/137.17 X157:($i > $o)]: 136.10/137.17 ((![X158]: 136.10/137.17 (in(X158,X156) => 136.10/137.17 (~X157(X158)))) => 136.10/137.17 (~ 136.10/137.17 (?[X159]: 136.10/137.17 (X157(X159) & 136.10/137.17 in( 136.10/137.17 X159,X156)))))) => 136.10/137.17 ((![X160, 136.10/137.17 X161:($i > $o)]: 136.10/137.17 ((~ 136.10/137.17 (?[X162]: 136.10/137.17 (X161(X162) & 136.10/137.17 in( 136.10/137.17 X162,X160)))) => 136.10/137.17 (![X163]: 136.10/137.17 (in(X163,X160) => 136.10/137.17 (~X161(X163)))))) => 136.10/137.17 ((![X164, 136.10/137.17 X165:($i > $o)]: 136.10/137.17 ((?[X166]: 136.10/137.17 ((~ 136.10/137.17 X165( 136.10/137.17 X166)) & 136.10/137.17 in( 136.10/137.17 X166,X164))) => 136.10/137.17 (~ 136.10/137.17 (![X167]: 136.10/137.17 (in( 136.10/137.17 X167,X164) => 136.10/137.17 X165( 136.18/137.17 X167)))))) => 136.18/137.17 ((![X168:$o]: 136.18/137.17 (X168 => 136.18/137.17 in(emptyset, 136.18/137.17 prop2set( 136.18/137.17 X168)))) => 136.18/137.17 ((![X169:$o]: 136.18/137.17 (X169 => 136.18/137.17 set2prop( 136.18/137.17 prop2set( 136.18/137.17 X169)))) => 136.18/137.17 ((![X170, 136.18/137.17 X171:( 136.18/137.17 $i > $o)]: 136.18/137.17 ((~ 136.18/137.17 (?[X172]: 136.18/137.17 (X171( 136.18/137.17 X172) & 136.18/137.17 in( 136.18/137.17 X172,X170)))) => 136.18/137.17 (![X173]: 136.18/137.17 ( 136.18/137.17 in( 136.18/137.17 X173,X170) => 136.18/137.17 ( 136.18/137.17 ~ 136.18/137.17 X171( 136.18/137.17 X173)))))) => 136.18/137.17 ((![X174, 136.18/137.17 X175:( 136.18/137.17 $i > $o)]: 136.18/137.17 ((~ 136.18/137.17 ( 136.18/137.17 ![X176]: 136.18/137.17 (in( 136.18/137.17 X176,X174) => 136.18/137.17 X175( 136.18/137.17 X176)))) => 136.18/137.17 (?[X177]: 136.18/137.17 (( 136.18/137.17 ~ 136.18/137.17 X175( 136.18/137.17 X177)) & 136.18/137.17 in( 136.18/137.17 X177,X174))))) => 136.18/137.17 ((![X178:( 136.18/137.17 $i > $o)]: 136.18/137.17 ((?[X179]: 136.18/137.17 (( 136.18/137.17 ![X180]: 136.18/137.17 (X178( 136.18/137.17 X180) => 136.18/137.17 (X179 = 136.18/137.17 X180))) & 136.18/137.17 X178( 136.18/137.17 X179))) => 136.18/137.17 (?[X181]: 136.18/137.17 (( 136.18/137.17 ![X182]: 136.18/137.17 (X178( 136.18/137.17 X182) => 136.18/137.17 (X181 = 136.18/137.17 X182))) & 136.18/137.17 X178( 136.18/137.17 X181))))) => 136.18/137.17 ((![X183:( 136.18/137.17 $i > $o)]: 136.18/137.17 (( 136.18/137.17 ?[X184]: 136.18/137.17 X183( 136.18/137.17 X184)) => 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 ![X185, 136.18/137.17 X186]: 136.18/137.17 (X183( 136.18/137.17 X185) => 136.18/137.17 (X183( 136.18/137.17 X186) => 136.18/137.17 (X185 = 136.18/137.17 X186)))) => 136.18/137.17 ( 136.18/137.17 ?[X187]: 136.18/137.17 (( 136.18/137.17 ![X188]: 136.18/137.17 (X183( 136.18/137.17 X188) => 136.18/137.17 (X187 = 136.18/137.17 X188))) & 136.18/137.17 X183( 136.18/137.17 X187)))))) => 136.18/137.17 ((![X189:( 136.18/137.17 $i > $o)]: 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 ?[X190]: 136.18/137.17 (![X191]: 136.18/137.17 (X189( 136.18/137.17 X191) <=> 136.18/137.17 (X191 = 136.18/137.17 X190)))) => 136.18/137.17 ( 136.18/137.17 ?[X192]: 136.18/137.17 (( 136.18/137.17 ![X193]: 136.18/137.17 (X189( 136.18/137.17 X193) => 136.18/137.17 (X192 = 136.18/137.17 X193))) & 136.18/137.17 X189( 136.18/137.17 X192))))) => 136.18/137.17 ((![X194, 136.18/137.17 X195]: 136.18/137.17 (( 136.18/137.17 X194 = 136.18/137.17 X195) => 136.18/137.17 (![X196, 136.18/137.17 X197]: 136.18/137.17 (( 136.18/137.17 X196 = 136.18/137.17 X197) => 136.18/137.17 (in( 136.18/137.17 X196,X194) => 136.18/137.17 in( 136.18/137.17 X197,X195)))))) => 136.18/137.17 ((![X198, 136.18/137.17 X199]: 136.18/137.17 (( 136.18/137.17 X198 = 136.18/137.17 X199) => 136.18/137.17 (![X200, 136.18/137.17 X201]: 136.18/137.17 (( 136.18/137.17 X200 = 136.18/137.17 X201) => 136.18/137.17 (in( 136.18/137.17 X200,X198) <=> 136.18/137.17 in( 136.18/137.17 X201,X199)))))) => 136.18/137.17 (( 136.18/137.17 ![X202:( 136.18/137.17 $i > $o)]: 136.18/137.17 (( 136.18/137.17 ?[X203]: 136.18/137.17 (( 136.18/137.17 ![X204]: 136.18/137.17 (X202( 136.18/137.17 X204) => 136.18/137.17 (X203 = 136.18/137.17 X204))) & 136.18/137.17 X202( 136.18/137.17 X203))) => 136.18/137.17 (![X205, 136.18/137.17 X206]: 136.18/137.17 (X202( 136.18/137.17 X205) => 136.18/137.17 (X202( 136.18/137.17 X206) => 136.18/137.17 (X205 = 136.18/137.17 X206)))))) => 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 ![X207:( 136.18/137.17 $i > $o), 136.18/137.17 X208:( 136.18/137.17 $i > $o)]: 136.18/137.17 (( 136.18/137.17 ![X209, 136.18/137.17 X210]: 136.18/137.17 (( 136.18/137.17 X209 = 136.18/137.17 X210) => 136.18/137.17 (X207( 136.18/137.17 X209) <=> 136.18/137.17 X208( 136.18/137.17 X210)))) => 136.18/137.17 (( 136.18/137.17 ?[X211]: 136.18/137.17 zip_tseitin5( 136.18/137.17 X211,X207)) <=> 136.18/137.17 (?[X213]: 136.18/137.17 zip_tseitin5( 136.18/137.17 X213,X208))))) => 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 emptyset = 136.18/137.17 emptyset) => 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 ![X215, 136.18/137.17 X216]: 136.18/137.17 (( 136.18/137.17 X215 = 136.18/137.17 X216) => 136.18/137.17 (![X217, 136.18/137.17 X218]: 136.18/137.17 (( 136.18/137.17 X217 = 136.18/137.17 X218) => 136.18/137.17 (setadjoin( 136.18/137.17 X215,X217) = 136.18/137.17 setadjoin( 136.18/137.17 X216,X218)))))) => 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 ![X219, 136.18/137.17 X220]: 136.18/137.17 (( 136.18/137.17 X219 = 136.18/137.17 X220) => 136.18/137.17 (powerset( 136.18/137.17 X219) = 136.18/137.17 powerset( 136.18/137.17 X220)))) => 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 ![X221, 136.18/137.17 X222]: 136.18/137.17 (( 136.18/137.17 X221 = 136.18/137.17 X222) => 136.18/137.17 (setunion( 136.18/137.17 X221) = 136.18/137.17 setunion( 136.18/137.17 X222)))) => 136.18/137.17 ( 136.18/137.17 ( 136.18/137.17 omega = 136.18/137.17 omega) => 136.18/137.17 ( 136.18/137.18 ( 136.18/137.18 ![X223:( 136.18/137.18 $i > $o)]: 136.18/137.18 (( 136.18/137.18 ?[X224]: 136.18/137.18 (( 136.18/137.18 ![X225]: 136.18/137.18 (X223( 136.18/137.18 X225) => 136.18/137.18 (X224 = 136.18/137.18 X225))) & 136.18/137.18 X223( 136.18/137.18 X224))) => 136.18/137.18 (![X226, 136.18/137.18 X227]: 136.18/137.18 (X223( 136.18/137.18 X226) => 136.18/137.18 (X223( 136.18/137.18 X227) => 136.18/137.18 (X226 = 136.18/137.18 X227)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X228:( 136.18/137.18 $i > $o), 136.18/137.18 X229:( 136.18/137.18 $i > $o)]: 136.18/137.18 (( 136.18/137.18 ![X230, 136.18/137.18 X231]: 136.18/137.18 (( 136.18/137.18 X230 = 136.18/137.18 X231) => 136.18/137.18 (X228( 136.18/137.18 X230) <=> 136.18/137.18 X229( 136.18/137.18 X231)))) => 136.18/137.18 (( 136.18/137.18 ?[X232]: 136.18/137.18 (( 136.18/137.18 ![X233]: 136.18/137.18 (X228( 136.18/137.18 X233) => 136.18/137.18 (X232 = 136.18/137.18 X233))) & 136.18/137.18 X228( 136.18/137.18 X232))) => 136.18/137.18 (( 136.18/137.18 ?[X234]: 136.18/137.18 (( 136.18/137.18 ![X235]: 136.18/137.18 (X229( 136.18/137.18 X235) => 136.18/137.18 (X234 = 136.18/137.18 X235))) & 136.18/137.18 X229( 136.18/137.18 X234))) => 136.18/137.18 (descr( 136.18/137.18 ^[V_9]: 136.18/137.18 X228(V_9)) = 136.18/137.18 descr( 136.18/137.18 ^[V_10]: 136.18/137.18 X229( 136.18/137.18 V_10))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X236, 136.18/137.18 X237]: 136.18/137.18 (( 136.18/137.18 X236 = 136.18/137.18 X237) => 136.18/137.18 (![X238:( 136.18/137.18 $i > $o), 136.18/137.18 X239:( 136.18/137.18 $i > $o)]: 136.18/137.18 (( 136.18/137.18 ![X240]: 136.18/137.18 (in( 136.18/137.18 X240,X236) => 136.18/137.18 (![X241]: 136.18/137.18 (in( 136.18/137.18 X241,X237) => 136.18/137.18 (( 136.18/137.18 X240 = 136.18/137.18 X241) => 136.18/137.18 (X238( 136.18/137.18 X240) <=> 136.18/137.18 X239( 136.18/137.18 X241))))))) => 136.18/137.18 (dsetconstr( 136.18/137.18 X236, 136.18/137.18 ^[V_11]: 136.18/137.18 X238( 136.18/137.18 V_11)) = 136.18/137.18 dsetconstr( 136.18/137.18 X237, 136.18/137.18 ^[V_12]: 136.18/137.18 X239( 136.18/137.18 V_12))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X242, 136.18/137.18 X243]: 136.18/137.18 (( 136.18/137.18 ![X244]: 136.18/137.18 (in( 136.18/137.18 X244,X242) => 136.18/137.18 in( 136.18/137.18 X244,X243))) => 136.18/137.18 subset( 136.18/137.18 X242,X243))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X245, 136.18/137.18 X246]: 136.18/137.18 (( 136.18/137.18 X245 = 136.18/137.18 X246) => 136.18/137.18 subset( 136.18/137.18 X246,X245))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X247, 136.18/137.18 X248]: 136.18/137.18 (( 136.18/137.18 X247 = 136.18/137.18 X248) => 136.18/137.18 subset( 136.18/137.18 X247,X248))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X249, 136.18/137.18 X250]: 136.18/137.18 (( 136.18/137.18 ![X251]: 136.18/137.18 (in( 136.18/137.18 X251,X249) => 136.18/137.18 in( 136.18/137.18 X251,X250))) => 136.18/137.18 subset( 136.18/137.18 X249,X250))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X252]: 136.18/137.18 subset( 136.18/137.18 emptyset, 136.18/137.18 X252)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X253, 136.18/137.18 X254,X255]: 136.18/137.18 (subset( 136.18/137.18 X253,X254) => 136.18/137.18 (in( 136.18/137.18 X255,X253) => 136.18/137.18 in( 136.18/137.18 X255,X254)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X256, 136.18/137.18 X257,X258]: 136.18/137.18 (subset( 136.18/137.18 X256,X257) => 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X258,X257)) => 136.18/137.18 (~ 136.18/137.18 in( 136.18/137.18 X258,X256))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X259, 136.18/137.18 X260,X261]: 136.18/137.18 (in( 136.18/137.18 X261,X259) => 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X261,X260)) => 136.18/137.18 (~ 136.18/137.18 subset( 136.18/137.18 X259,X260))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X262, 136.18/137.18 X263]: 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 subset( 136.18/137.18 X262,X263)) => 136.18/137.18 (X262 != 136.18/137.18 X263))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X264, 136.18/137.18 X265,X266]: 136.18/137.18 (in( 136.18/137.18 X266,X264) => 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X266,X265)) => 136.18/137.18 (X264 != 136.18/137.18 X265)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X267]: 136.18/137.18 subset( 136.18/137.18 X267,X267)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X268, 136.18/137.18 X269,X270]: 136.18/137.18 (subset( 136.18/137.18 X268,X269) => 136.18/137.18 (subset( 136.18/137.18 X269,X270) => 136.18/137.18 subset( 136.18/137.18 X268,X270)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X271, 136.18/137.18 X272]: 136.18/137.18 subset( 136.18/137.18 X272, 136.18/137.18 setadjoin( 136.18/137.18 X271,X272))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X273, 136.18/137.18 X274,X275]: 136.18/137.18 (subset( 136.18/137.18 X273,X275) => 136.18/137.18 subset( 136.18/137.18 X273, 136.18/137.18 setadjoin( 136.18/137.18 X274,X275)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X276, 136.18/137.18 X277]: 136.18/137.18 (subset( 136.18/137.18 X276,X277) => 136.18/137.18 in( 136.18/137.18 X276, 136.18/137.18 powerset( 136.18/137.18 X277)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X278, 136.18/137.18 X279]: 136.18/137.18 (subset( 136.18/137.18 X278,X279) => 136.18/137.18 (subset( 136.18/137.18 X279,X278) => 136.18/137.18 (X278 = 136.18/137.18 X279)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X280]: 136.18/137.18 (subset( 136.18/137.18 X280, 136.18/137.18 emptyset) => 136.18/137.18 (X280 = 136.18/137.18 emptyset))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X281, 136.18/137.18 X282]: 136.18/137.18 (subset( 136.18/137.18 X282,X281) => 136.18/137.18 in( 136.18/137.18 X282, 136.18/137.18 powerset( 136.18/137.18 X281)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X283, 136.18/137.18 X284]: 136.18/137.18 (in( 136.18/137.18 X284, 136.18/137.18 powerset( 136.18/137.18 X283)) => 136.18/137.18 subset( 136.18/137.18 X284,X283))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X285]: 136.18/137.18 in( 136.18/137.18 X285, 136.18/137.18 powerset( 136.18/137.18 X285))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X286, 136.18/137.18 X287]: 136.18/137.18 (subset( 136.18/137.18 X286,X287) => 136.18/137.18 subset( 136.18/137.18 powerset( 136.18/137.18 X286), 136.18/137.18 powerset( 136.18/137.18 X287)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X288, 136.18/137.18 X289:( 136.18/137.18 $i > $o)]: 136.18/137.18 in( 136.18/137.18 dsetconstr( 136.18/137.18 X288, 136.18/137.18 ^[V_13]: 136.18/137.18 X289( 136.18/137.18 V_13)), 136.18/137.18 powerset( 136.18/137.18 X288))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X290, 136.18/137.18 X291:( 136.18/137.18 $i > $o)]: 136.18/137.18 subset( 136.18/137.18 dsetconstr( 136.18/137.18 X290, 136.18/137.18 ^[V_14]: 136.18/137.18 X291( 136.18/137.18 V_14)), 136.18/137.18 X290)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X292, 136.18/137.18 X293,X294]: 136.18/137.18 (in( 136.18/137.18 X294,X292) => 136.18/137.18 in( 136.18/137.18 X294, 136.18/137.18 binunion( 136.18/137.18 X292,X293)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X295, 136.18/137.18 X296]: 136.18/137.18 in( 136.18/137.18 X296, 136.18/137.18 setadjoin( 136.18/137.18 X295, 136.18/137.18 setadjoin( 136.18/137.18 X296, 136.18/137.18 emptyset)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X297, 136.18/137.18 X298,X299]: 136.18/137.18 (in( 136.18/137.18 X299,X298) => 136.18/137.18 in( 136.18/137.18 X299, 136.18/137.18 binunion( 136.18/137.18 X297,X298)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X300, 136.18/137.18 X301, 136.18/137.18 X302, 136.18/137.18 X303:$o]: 136.18/137.18 (in( 136.18/137.18 X302, 136.18/137.18 binunion( 136.18/137.18 X300,X301)) => 136.18/137.18 (( 136.18/137.18 in( 136.18/137.18 X302,X300) => 136.18/137.18 X303) => 136.18/137.18 (( 136.18/137.18 in( 136.18/137.18 X302,X301) => 136.18/137.18 X303) => 136.18/137.18 X303)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X304, 136.18/137.18 X305,X306]: 136.18/137.18 (in( 136.18/137.18 X306, 136.18/137.18 binunion( 136.18/137.18 X304,X305)) => 136.18/137.18 (in( 136.18/137.18 X306,X305) | 136.18/137.18 in( 136.18/137.18 X306,X304)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X307, 136.18/137.18 X308]: 136.18/137.18 subset( 136.18/137.18 X307, 136.18/137.18 binunion( 136.18/137.18 X307,X308))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X309, 136.18/137.18 X310]: 136.18/137.18 subset( 136.18/137.18 X310, 136.18/137.18 binunion( 136.18/137.18 X309,X310))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X311, 136.18/137.18 X312,X313]: 136.18/137.18 (in( 136.18/137.18 X313,X311) => 136.18/137.18 (in( 136.18/137.18 X313,X312) => 136.18/137.18 in( 136.18/137.18 X313, 136.18/137.18 binintersect( 136.18/137.18 X311,X312))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X314, 136.18/137.18 X315,X316]: 136.18/137.18 (subset( 136.18/137.18 X316,X314) => 136.18/137.18 (subset( 136.18/137.18 X316,X315) => 136.18/137.18 subset( 136.18/137.18 X316, 136.18/137.18 binintersect( 136.18/137.18 X314,X315))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X317, 136.18/137.18 X318,X319]: 136.18/137.18 (in( 136.18/137.18 X319, 136.18/137.18 binintersect( 136.18/137.18 X317,X318)) => 136.18/137.18 in( 136.18/137.18 X319,X317))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X320, 136.18/137.18 X321]: 136.18/137.18 subset( 136.18/137.18 binintersect( 136.18/137.18 X320,X321), 136.18/137.18 X320)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X322, 136.18/137.18 X323]: 136.18/137.18 (subset( 136.18/137.18 X322,X323) => 136.18/137.18 (binintersect( 136.18/137.18 X322,X323) = 136.18/137.18 X322))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X324, 136.18/137.18 X325]: 136.18/137.18 (( 136.18/137.18 binintersect( 136.18/137.18 X324,X325) = 136.18/137.18 X325) => 136.18/137.18 subset( 136.18/137.18 X325,X324))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X326, 136.18/137.18 X327,X328]: 136.18/137.18 (in( 136.18/137.18 X328, 136.18/137.18 binintersect( 136.18/137.18 X326,X327)) => 136.18/137.18 in( 136.18/137.18 X328,X327))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X329, 136.18/137.18 X330]: 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 ( 136.18/137.18 ?[X331]: 136.18/137.18 (in( 136.18/137.18 X331,X330) & 136.18/137.18 in( 136.18/137.18 X331,X329)))) => 136.18/137.18 (binintersect( 136.18/137.18 X329,X330) = 136.18/137.18 emptyset))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X332, 136.18/137.18 X333]: 136.18/137.18 subset( 136.18/137.18 binintersect( 136.18/137.18 X332,X333), 136.18/137.18 X333)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X334, 136.18/137.18 X335]: 136.18/137.18 (subset( 136.18/137.18 X335,X334) => 136.18/137.18 (binintersect( 136.18/137.18 X334,X335) = 136.18/137.18 X335))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X336, 136.18/137.18 X337]: 136.18/137.18 (( 136.18/137.18 binintersect( 136.18/137.18 X336,X337) = 136.18/137.18 X336) => 136.18/137.18 subset( 136.18/137.18 X336,X337))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X338, 136.18/137.18 X339,X340]: 136.18/137.18 (binintersect( 136.18/137.18 X338, 136.18/137.18 binunion( 136.18/137.18 X339,X340)) = 136.18/137.18 binunion( 136.18/137.18 binintersect( 136.18/137.18 X338,X339), 136.18/137.18 binintersect( 136.18/137.18 X338,X340)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X341, 136.18/137.18 X342,X343]: 136.18/137.18 (in( 136.18/137.18 X343,X341) => 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X343,X342)) => 136.18/137.18 in( 136.18/137.18 X343, 136.18/137.18 setminus( 136.18/137.18 X341,X342))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X344, 136.18/137.18 X345,X346]: 136.18/137.18 (in( 136.18/137.18 X346, 136.18/137.18 setminus( 136.18/137.18 X344,X345)) => 136.18/137.18 in( 136.18/137.18 X346,X344))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X347, 136.18/137.18 X348,X349]: 136.18/137.18 (in( 136.18/137.18 X349, 136.18/137.18 setminus( 136.18/137.18 X347,X348)) => 136.18/137.18 (~ 136.18/137.18 in( 136.18/137.18 X349,X348)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X350, 136.18/137.18 X351]: 136.18/137.18 (subset( 136.18/137.18 X350,X351) => 136.18/137.18 (setminus( 136.18/137.18 X350,X351) = 136.18/137.18 emptyset))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X352, 136.18/137.18 X353,X354]: 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X354, 136.18/137.18 setminus( 136.18/137.18 X352,X353))) => 136.18/137.18 (in( 136.18/137.18 X354,X352) => 136.18/137.18 in( 136.18/137.18 X354,X353)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X355, 136.18/137.18 X356,X357]: 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X357, 136.18/137.18 setminus( 136.18/137.18 X355,X356))) => 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X357,X356)) => 136.18/137.18 (~ 136.18/137.18 in( 136.18/137.18 X357,X355))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X358, 136.18/137.18 X359,X360]: 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X360,X358)) => 136.18/137.18 (~ 136.18/137.18 in( 136.18/137.18 X360, 136.18/137.18 setminus( 136.18/137.18 X358,X359))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X361, 136.18/137.18 X362,X363]: 136.18/137.18 (in( 136.18/137.18 X363,X362) => 136.18/137.18 (~ 136.18/137.18 in( 136.18/137.18 X363, 136.18/137.18 setminus( 136.18/137.18 X361,X362))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X364, 136.18/137.18 X365]: 136.18/137.18 subset( 136.18/137.18 setminus( 136.18/137.18 X364,X365), 136.18/137.18 X364)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X366, 136.18/137.18 X367]: 136.18/137.18 (( 136.18/137.18 setminus( 136.18/137.18 X366,X367) = 136.18/137.18 emptyset) => 136.18/137.18 subset( 136.18/137.18 X366,X367))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X368, 136.18/137.18 X369,X370]: 136.18/137.18 (in( 136.18/137.18 X370, 136.18/137.18 symdiff( 136.18/137.18 X368,X369)) => 136.18/137.18 (![X371:$o]: 136.18/137.18 (( 136.18/137.18 in( 136.18/137.18 X370,X368) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X370,X369)) => 136.18/137.18 X371)) => 136.18/137.18 (( 136.18/137.18 ( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X370,X368)) => 136.18/137.18 ( 136.18/137.18 in( 136.18/137.18 X370,X369) => 136.18/137.18 X371)) => 136.18/137.18 X371))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X372, 136.18/137.18 X373,X374]: 136.18/137.18 (in( 136.18/137.18 X374,X372) => 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X374,X373)) => 136.18/137.18 in( 136.18/137.18 X374, 136.18/137.18 symdiff( 136.18/137.18 X372,X373))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X375, 136.18/137.18 X376,X377]: 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X377,X375)) => 136.18/137.18 (in( 136.18/137.18 X377,X376) => 136.18/137.18 in( 136.18/137.18 X377, 136.18/137.18 symdiff( 136.18/137.18 X375,X376))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X378, 136.18/137.18 X379,X380]: 136.18/137.18 (in( 136.18/137.18 X380,X378) => 136.18/137.18 (in( 136.18/137.18 X380,X379) => 136.18/137.18 (~ 136.18/137.18 in( 136.18/137.18 X380, 136.18/137.18 symdiff( 136.18/137.18 X378,X379)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X381, 136.18/137.18 X382,X383]: 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X383,X381)) => 136.18/137.18 (( 136.18/137.18 ~ 136.18/137.18 in( 136.18/137.18 X383,X382)) => 136.18/137.18 (~ 136.18/137.18 in( 136.18/137.18 X383, 136.18/137.18 symdiff( 136.18/137.18 X381,X382)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X384, 136.18/137.18 X385]: 136.18/137.18 in( 136.18/137.18 X385, 136.18/137.18 setadjoin( 136.18/137.18 X384, 136.18/137.18 setadjoin( 136.18/137.18 X385, 136.18/137.18 emptyset)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X386, 136.18/137.18 X387]: 136.18/137.18 in( 136.18/137.18 X386, 136.18/137.18 setunion( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X386, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X386, 136.18/137.18 setadjoin( 136.18/137.18 X387, 136.18/137.18 emptyset)), 136.18/137.18 emptyset))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X388, 136.18/137.18 X389]: 136.18/137.18 in( 136.18/137.18 X389, 136.18/137.18 setunion( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X388, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X388, 136.18/137.18 setadjoin( 136.18/137.18 X389, 136.18/137.18 emptyset)), 136.18/137.18 emptyset))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X390, 136.18/137.18 X391]: 136.18/137.18 iskpair( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X390, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X390, 136.18/137.18 setadjoin( 136.18/137.18 X391, 136.18/137.18 emptyset)), 136.18/137.18 emptyset)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X392, 136.18/137.18 X393]: 136.18/137.18 iskpair( 136.18/137.18 kpair( 136.18/137.18 X392,X393))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X394, 136.18/137.18 X395]: 136.18/137.18 (in( 136.18/137.18 X395,X394) => 136.18/137.18 subset( 136.18/137.18 setadjoin( 136.18/137.18 X395, 136.18/137.18 emptyset), 136.18/137.18 X394))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X396, 136.18/137.18 X397]: 136.18/137.18 (in( 136.18/137.18 X397,X396) => 136.18/137.18 in( 136.18/137.18 setadjoin( 136.18/137.18 X397, 136.18/137.18 emptyset), 136.18/137.18 powerset( 136.18/137.18 X396)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X398, 136.18/137.18 X399,X400]: 136.18/137.18 (in( 136.18/137.18 X400,X398) => 136.18/137.18 in( 136.18/137.18 setadjoin( 136.18/137.18 X400, 136.18/137.18 emptyset), 136.18/137.18 powerset( 136.18/137.18 binunion( 136.18/137.18 X398,X399))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X401, 136.18/137.18 X402,X403]: 136.18/137.18 (in( 136.18/137.18 X403, 136.18/137.18 setadjoin( 136.18/137.18 X401, 136.18/137.18 setadjoin( 136.18/137.18 X402, 136.18/137.18 emptyset))) => 136.18/137.18 (( 136.18/137.18 X403 = 136.18/137.18 X402) | 136.18/137.18 (X403 = 136.18/137.18 X401)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X404, 136.18/137.18 X405,X406]: 136.18/137.18 (in( 136.18/137.18 X406,X404) => 136.18/137.18 (![X407]: 136.18/137.18 (in( 136.18/137.18 X407,X405) => 136.18/137.18 subset( 136.18/137.18 setadjoin( 136.18/137.18 X406, 136.18/137.18 setadjoin( 136.18/137.18 X407, 136.18/137.18 emptyset)), 136.18/137.18 binunion( 136.18/137.18 X404,X405)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X408, 136.18/137.18 X409,X410]: 136.18/137.18 (in( 136.18/137.18 X410,X408) => 136.18/137.18 (![X411]: 136.18/137.18 (in( 136.18/137.18 X411,X409) => 136.18/137.18 in( 136.18/137.18 setadjoin( 136.18/137.18 X410, 136.18/137.18 setadjoin( 136.18/137.18 X411, 136.18/137.18 emptyset)), 136.18/137.18 powerset( 136.18/137.18 binunion( 136.18/137.18 X408,X409))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X412, 136.18/137.18 X413,X414]: 136.18/137.18 (in( 136.18/137.18 X414,X412) => 136.18/137.18 (![X415]: 136.18/137.18 (in( 136.18/137.18 X415,X413) => 136.18/137.18 subset( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X414, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X414, 136.18/137.18 setadjoin( 136.18/137.18 X415, 136.18/137.18 emptyset)), 136.18/137.18 emptyset)), 136.18/137.18 powerset( 136.18/137.18 binunion( 136.18/137.18 X412,X413))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X416, 136.18/137.18 X417,X418]: 136.18/137.18 (in( 136.18/137.18 X418,X416) => 136.18/137.18 (![X419]: 136.18/137.18 (in( 136.18/137.18 X419,X417) => 136.18/137.18 in( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X418, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X418, 136.18/137.18 setadjoin( 136.18/137.18 X419, 136.18/137.18 emptyset)), 136.18/137.18 emptyset)), 136.18/137.18 powerset( 136.18/137.18 powerset( 136.18/137.18 binunion( 136.18/137.18 X416,X417)))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X420, 136.18/137.18 X421,X422]: 136.18/137.18 (in( 136.18/137.18 X422,X420) => 136.18/137.18 (![X423]: 136.18/137.18 (in( 136.18/137.18 X423,X421) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X422,X423), 136.18/137.18 powerset( 136.18/137.18 powerset( 136.18/137.18 binunion( 136.18/137.18 X420,X421)))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X424, 136.18/137.18 X425,X426]: 136.18/137.18 (in( 136.18/137.18 X426,X424) => 136.18/137.18 (![X427]: 136.18/137.18 (in( 136.18/137.18 X427,X425) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X426,X427), 136.18/137.18 cartprod( 136.18/137.18 X424,X425)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X428, 136.18/137.18 X429,X430]: 136.18/137.18 (in( 136.18/137.18 X430, 136.18/137.18 cartprod( 136.18/137.18 X428,X429)) => 136.18/137.18 (?[X431]: 136.18/137.18 (( 136.18/137.18 ?[X432]: 136.18/137.18 (( 136.18/137.18 X430 = 136.18/137.18 kpair( 136.18/137.18 X431,X432)) & 136.18/137.18 in( 136.18/137.18 X432,X429))) & 136.18/137.18 in( 136.18/137.18 X431,X428))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X433, 136.18/137.18 X434,X435]: 136.18/137.18 (in( 136.18/137.18 X435, 136.18/137.18 cartprod( 136.18/137.18 X433,X434)) => 136.18/137.18 iskpair( 136.18/137.18 X435))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X436, 136.18/137.18 X437]: 136.18/137.18 (in( 136.18/137.18 X437, 136.18/137.18 setunion( 136.18/137.18 X436)) => 136.18/137.18 (?[X438]: 136.18/137.18 (in( 136.18/137.18 X437,X438) & 136.18/137.18 in( 136.18/137.18 X438,X436))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X439]: 136.18/137.18 subset( 136.18/137.18 setunion( 136.18/137.18 setadjoin( 136.18/137.18 X439, 136.18/137.18 emptyset)), 136.18/137.18 X439)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X440]: 136.18/137.18 subset( 136.18/137.18 X440, 136.18/137.18 setunion( 136.18/137.18 setadjoin( 136.18/137.18 X440, 136.18/137.18 emptyset)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X441]: 136.18/137.18 (setunion( 136.18/137.18 setadjoin( 136.18/137.18 X441, 136.18/137.18 emptyset)) = 136.18/137.18 X441)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X442, 136.18/137.18 X443:( 136.18/137.18 $i > $o)]: 136.18/137.18 (( 136.18/137.18 ![X444]: 136.18/137.18 (in( 136.18/137.18 X444,X442) => 136.18/137.18 (![X445]: 136.18/137.18 (in( 136.18/137.18 X445,X442) => 136.18/137.18 (X443( 136.18/137.18 X444) => 136.18/137.18 (X443( 136.18/137.18 X445) => 136.18/137.18 (X444 = 136.18/137.18 X445))))))) => 136.18/137.18 (( 136.18/137.18 ?[X446]: 136.18/137.18 (X443( 136.18/137.18 X446) & 136.18/137.18 in( 136.18/137.18 X446,X442))) => 136.18/137.18 singleton( 136.18/137.18 dsetconstr( 136.18/137.18 X442, 136.18/137.18 ^[V_15]: 136.18/137.18 X443( 136.18/137.18 V_15)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X447, 136.18/137.18 X448:( 136.18/137.18 $i > $o)]: 136.18/137.18 (ex1( 136.18/137.18 X447, 136.18/137.18 ^[V_16]: 136.18/137.18 X448( 136.18/137.18 V_16)) => 136.18/137.18 (?[X449]: 136.18/137.18 (X448( 136.18/137.18 X449) & 136.18/137.18 in( 136.18/137.18 X449,X447))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X450, 136.18/137.18 X451:( 136.18/137.18 $i > $o), 136.18/137.18 X452]: 136.18/137.18 (in( 136.18/137.18 X452,X450) => 136.18/137.18 (X451( 136.18/137.18 X452) => 136.18/137.18 (( 136.18/137.18 ![X453]: 136.18/137.18 (in( 136.18/137.18 X453,X450) => 136.18/137.18 (X451( 136.18/137.18 X453) => 136.18/137.18 (X453 = 136.18/137.18 X452)))) => 136.18/137.18 ex1( 136.18/137.18 X450, 136.18/137.18 ^[V_17]: 136.18/137.18 X451( 136.18/137.18 V_17)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X454, 136.18/137.18 X455:( 136.18/137.18 $i > $o)]: 136.18/137.18 (( 136.18/137.18 ![X456]: 136.18/137.18 (in( 136.18/137.18 X456,X454) => 136.18/137.18 (![X457]: 136.18/137.18 (in( 136.18/137.18 X457,X454) => 136.18/137.18 (X455( 136.18/137.18 X456) => 136.18/137.18 (X455( 136.18/137.18 X457) => 136.18/137.18 (X456 = 136.18/137.18 X457))))))) => 136.18/137.18 (( 136.18/137.18 ?[X458]: 136.18/137.18 (X455( 136.18/137.18 X458) & 136.18/137.18 in( 136.18/137.18 X458,X454))) => 136.18/137.18 ex1( 136.18/137.18 X454, 136.18/137.18 ^[V_18]: 136.18/137.18 X455( 136.18/137.18 V_18))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X459, 136.18/137.18 X460]: 136.18/137.18 (( 136.18/137.18 setadjoin( 136.18/137.18 X459, 136.18/137.18 emptyset) = 136.18/137.18 setadjoin( 136.18/137.18 X460, 136.18/137.18 emptyset)) => 136.18/137.18 (X459 = 136.18/137.18 X460))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X461, 136.18/137.18 X462,X463]: 136.18/137.18 (in( 136.18/137.18 setadjoin( 136.18/137.18 X463, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X461, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X461, 136.18/137.18 setadjoin( 136.18/137.18 X462, 136.18/137.18 emptyset)), 136.18/137.18 emptyset))) => 136.18/137.18 (X461 = 136.18/137.18 X463))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X464]: 136.18/137.18 (iskpair( 136.18/137.18 X464) => 136.18/137.18 singleton( 136.18/137.18 dsetconstr( 136.18/137.18 setunion( 136.18/137.18 X464), 136.18/137.18 ^[V_19]: 136.18/137.18 in( 136.18/137.18 setadjoin( 136.18/137.18 V_19, 136.18/137.18 emptyset), 136.18/137.18 X464))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X465]: 136.18/137.18 (singleton( 136.18/137.18 X465) => 136.18/137.18 in( 136.18/137.18 setunion( 136.18/137.18 X465), 136.18/137.18 X465))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X466, 136.18/137.18 X467]: 136.18/137.18 (kfst( 136.18/137.18 kpair( 136.18/137.18 X466,X467)) = 136.18/137.18 X466)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X468, 136.18/137.18 X469,X470]: 136.18/137.18 (in( 136.18/137.18 X470, 136.18/137.18 cartprod( 136.18/137.18 X468,X469)) => 136.18/137.18 in( 136.18/137.18 kfst( 136.18/137.18 X470), 136.18/137.18 X468))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X471, 136.18/137.18 X472, 136.18/137.18 X473,X474]: 136.18/137.18 (( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X471, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X471, 136.18/137.18 setadjoin( 136.18/137.18 X472, 136.18/137.18 emptyset)), 136.18/137.18 emptyset)) = 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X473, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X473, 136.18/137.18 setadjoin( 136.18/137.18 X474, 136.18/137.18 emptyset)), 136.18/137.18 emptyset))) => 136.18/137.18 (X471 = 136.18/137.18 X473))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X475, 136.18/137.18 X476, 136.18/137.18 X477,X478]: 136.18/137.18 (( 136.18/137.18 kpair( 136.18/137.18 X475,X476) = 136.18/137.18 kpair( 136.18/137.18 X477,X478)) => 136.18/137.18 (X475 = 136.18/137.18 X477))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X479, 136.18/137.18 X480]: 136.18/137.18 (( 136.18/137.18 X479 = 136.18/137.18 X480) => 136.18/137.18 (setadjoin( 136.18/137.18 X479, 136.18/137.18 setadjoin( 136.18/137.18 X480, 136.18/137.18 emptyset)) = 136.18/137.18 setadjoin( 136.18/137.18 X479, 136.18/137.18 emptyset)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X481, 136.18/137.18 X482]: 136.18/137.18 (( 136.18/137.18 X481 = 136.18/137.18 X482) => 136.18/137.18 (setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X481, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X481, 136.18/137.18 setadjoin( 136.18/137.18 X482, 136.18/137.18 emptyset)), 136.18/137.18 emptyset)) = 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X481, 136.18/137.18 emptyset), 136.18/137.18 emptyset)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X483, 136.18/137.18 X484, 136.18/137.18 X485,X486]: 136.18/137.18 (( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X483, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X483, 136.18/137.18 setadjoin( 136.18/137.18 X484, 136.18/137.18 emptyset)), 136.18/137.18 emptyset)) = 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X485, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X485, 136.18/137.18 setadjoin( 136.18/137.18 X486, 136.18/137.18 emptyset)), 136.18/137.18 emptyset))) => 136.18/137.18 (( 136.18/137.18 X485 = 136.18/137.18 X486) => 136.18/137.18 (X484 = 136.18/137.18 X486)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X487, 136.18/137.18 X488,X489]: 136.18/137.18 (( 136.18/137.18 setadjoin( 136.18/137.18 X487, 136.18/137.18 setadjoin( 136.18/137.18 X488, 136.18/137.18 emptyset)) = 136.18/137.18 setadjoin( 136.18/137.18 X489, 136.18/137.18 emptyset)) => 136.18/137.18 (X487 = 136.18/137.18 X488))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X490, 136.18/137.18 X491, 136.18/137.18 X492,X493]: 136.18/137.18 (( 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X490, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X490, 136.18/137.18 setadjoin( 136.18/137.18 X491, 136.18/137.18 emptyset)), 136.18/137.18 emptyset)) = 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X492, 136.18/137.18 emptyset), 136.18/137.18 setadjoin( 136.18/137.18 setadjoin( 136.18/137.18 X492, 136.18/137.18 setadjoin( 136.18/137.18 X493, 136.18/137.18 emptyset)), 136.18/137.18 emptyset))) => 136.18/137.18 (X491 = 136.18/137.18 X493))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X494, 136.18/137.18 X495, 136.18/137.18 X496,X497]: 136.18/137.18 (( 136.18/137.18 kpair( 136.18/137.18 X494,X495) = 136.18/137.18 kpair( 136.18/137.18 X496,X497)) => 136.18/137.18 (X495 = 136.18/137.18 X497))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X498]: 136.18/137.18 (iskpair( 136.18/137.18 X498) => 136.18/137.18 singleton( 136.18/137.18 dsetconstr( 136.18/137.18 setunion( 136.18/137.18 X498), 136.18/137.18 ^[V_20]: 136.18/137.18 (X498 = 136.18/137.18 kpair( 136.18/137.18 kfst( 136.18/137.18 X498), 136.18/137.18 V_20)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X499, 136.18/137.18 X500]: 136.18/137.18 (ksnd( 136.18/137.18 kpair( 136.18/137.18 X499,X500)) = 136.18/137.18 X500)) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X501]: 136.18/137.18 (iskpair( 136.18/137.18 X501) => 136.18/137.18 (kpair( 136.18/137.18 kfst( 136.18/137.18 X501), 136.18/137.18 ksnd( 136.18/137.18 X501)) = 136.18/137.18 X501))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X502, 136.18/137.18 X503,X504]: 136.18/137.18 (in( 136.18/137.18 X504, 136.18/137.18 cartprod( 136.18/137.18 X502,X503)) => 136.18/137.18 in( 136.18/137.18 ksnd( 136.18/137.18 X504), 136.18/137.18 X503))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X505, 136.18/137.18 X506, 136.18/137.18 X507,X508]: 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X507,X508), 136.18/137.18 cartprod( 136.18/137.18 X505,X506)) => 136.18/137.18 in( 136.18/137.18 X507,X505))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X509, 136.18/137.18 X510, 136.18/137.18 X511,X512]: 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X511,X512), 136.18/137.18 cartprod( 136.18/137.18 X509,X510)) => 136.18/137.18 in( 136.18/137.18 X512,X510))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X513, 136.18/137.18 X514,X515]: 136.18/137.18 (in( 136.18/137.18 X515,X513) => 136.18/137.18 (![X516]: 136.18/137.18 (in( 136.18/137.18 X516,X514) => 136.18/137.18 (kpair( 136.18/137.18 X515,X516) = 136.18/137.18 kpair( 136.18/137.18 X515,X516)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X517, 136.18/137.18 X518,X519]: 136.18/137.18 (in( 136.18/137.18 X519,X517) => 136.18/137.18 (![X520]: 136.18/137.18 (in( 136.18/137.18 X520,X518) => 136.18/137.18 (kfst( 136.18/137.18 kpair( 136.18/137.18 X519,X520)) = 136.18/137.18 X519))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X521, 136.18/137.18 X522,X523]: 136.18/137.18 (in( 136.18/137.18 X523,X521) => 136.18/137.18 (![X524]: 136.18/137.18 (in( 136.18/137.18 X524,X522) => 136.18/137.18 (ksnd( 136.18/137.18 kpair( 136.18/137.18 X523,X524)) = 136.18/137.18 X524))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X525, 136.18/137.18 X526,X527]: 136.18/137.18 (in( 136.18/137.18 X527, 136.18/137.18 cartprod( 136.18/137.18 X525,X526)) => 136.18/137.18 (kpair( 136.18/137.18 kfst( 136.18/137.18 X527), 136.18/137.18 ksnd( 136.18/137.18 X527)) = 136.18/137.18 X527))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X528, 136.18/137.18 X529, 136.18/137.18 X530:( 136.18/137.18 ($i * $i) > 136.18/137.18 $o),X531]: 136.18/137.18 (in( 136.18/137.18 X531,X528) => 136.18/137.18 (![X532]: 136.18/137.18 (in( 136.18/137.18 X532,X529) => 136.18/137.18 (X530( 136.18/137.18 X531,X532) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X531,X532), 136.18/137.18 dpsetconstr( 136.18/137.18 X528, 136.18/137.18 X529, 136.18/137.18 ^[V_21, 136.18/137.18 V_22]: 136.18/137.18 X530( 136.18/137.18 V_21,V_22)))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X533, 136.18/137.18 X534, 136.18/137.18 X535:( 136.18/137.18 ($i * $i) > 136.18/137.18 $o)]: 136.18/137.18 subset( 136.18/137.18 dpsetconstr( 136.18/137.18 X533, 136.18/137.18 X534, 136.18/137.18 ^[V_23, 136.18/137.18 V_24]: 136.18/137.18 X535( 136.18/137.18 V_23,V_24)), 136.18/137.18 cartprod( 136.18/137.18 X533,X534))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X536, 136.18/137.18 X537, 136.18/137.18 X538:( 136.18/137.18 ($i * $i) > 136.18/137.18 $o)]: 136.18/137.18 breln( 136.18/137.18 X536, 136.18/137.18 X537, 136.18/137.18 dpsetconstr( 136.18/137.18 X536, 136.18/137.18 X537, 136.18/137.18 ^[V_25, 136.18/137.18 V_26]: 136.18/137.18 X538( 136.18/137.18 V_25,V_26)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X539, 136.18/137.18 X540, 136.18/137.18 X541:( 136.18/137.18 ($i * $i) > 136.18/137.18 $o),X542]: 136.18/137.18 (in( 136.18/137.18 X542,X539) => 136.18/137.18 (![X543]: 136.18/137.18 (in( 136.18/137.18 X543,X540) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X542,X543), 136.18/137.18 dpsetconstr( 136.18/137.18 X539, 136.18/137.18 X540, 136.18/137.18 ^[V_27, 136.18/137.18 V_28]: 136.18/137.18 X541( 136.18/137.18 V_27,V_28))) => 136.18/137.18 X541( 136.18/137.18 X542,X543)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X544, 136.18/137.18 X545, 136.18/137.18 X546:( 136.18/137.18 ($i * $i) > 136.18/137.18 $o),X547, 136.18/137.18 X548]: 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X547,X548), 136.18/137.18 dpsetconstr( 136.18/137.18 X544, 136.18/137.18 X545, 136.18/137.18 ^[V_29, 136.18/137.18 V_30]: 136.18/137.18 X546( 136.18/137.18 V_29,V_30))) => 136.18/137.18 in( 136.18/137.18 X547,X544))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X549, 136.18/137.18 X550, 136.18/137.18 X551:( 136.18/137.18 ($i * $i) > 136.18/137.18 $o),X552, 136.18/137.18 X553]: 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X552,X553), 136.18/137.18 dpsetconstr( 136.18/137.18 X549, 136.18/137.18 X550, 136.18/137.18 ^[V_31, 136.18/137.18 V_32]: 136.18/137.18 X551( 136.18/137.18 V_31,V_32))) => 136.18/137.18 in( 136.18/137.18 X553,X550))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X554, 136.18/137.18 X555, 136.18/137.18 X556:( 136.18/137.18 ($i * $i) > 136.18/137.18 $o),X557, 136.18/137.18 X558]: 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X557,X558), 136.18/137.18 dpsetconstr( 136.18/137.18 X554, 136.18/137.18 X555, 136.18/137.18 ^[V_33, 136.18/137.18 V_34]: 136.18/137.18 X556( 136.18/137.18 V_33,V_34))) => 136.18/137.18 X556( 136.18/137.18 X557,X558))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X559, 136.18/137.18 X560,X561]: 136.18/137.18 (func( 136.18/137.18 X559, 136.18/137.18 X560,X561) => 136.18/137.18 (![X562]: 136.18/137.18 (in( 136.18/137.18 X562,X559) => 136.18/137.18 singleton( 136.18/137.18 dsetconstr( 136.18/137.18 X560, 136.18/137.18 ^[V_35]: 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X562,V_35), 136.18/137.18 X561))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X563, 136.18/137.18 X564,X565]: 136.18/137.18 (func( 136.18/137.18 X563, 136.18/137.18 X564,X565) => 136.18/137.18 (![X566]: 136.18/137.18 (in( 136.18/137.18 X566,X563) => 136.18/137.18 in( 136.18/137.18 setunion( 136.18/137.18 dsetconstr( 136.18/137.18 X564, 136.18/137.18 ^[V_36]: 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X566,V_36), 136.18/137.18 X565))), 136.18/137.18 X564))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X567, 136.18/137.18 X568,X569]: 136.18/137.18 (func( 136.18/137.18 X567, 136.18/137.18 X568,X569) => 136.18/137.18 (![X570]: 136.18/137.18 (in( 136.18/137.18 X570,X567) => 136.18/137.18 in( 136.18/137.18 ap( 136.18/137.18 X567, 136.18/137.18 X568, 136.18/137.18 X569,X570), 136.18/137.18 X568))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X571, 136.18/137.18 X572,X573]: 136.18/137.18 (in( 136.18/137.18 X573, 136.18/137.18 funcSet( 136.18/137.18 X571,X572)) => 136.18/137.18 func( 136.18/137.18 X571, 136.18/137.18 X572,X573))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X574, 136.18/137.18 X575,X576]: 136.18/137.18 (in( 136.18/137.18 X576, 136.18/137.18 funcSet( 136.18/137.18 X574,X575)) => 136.18/137.18 (![X577]: 136.18/137.18 (in( 136.18/137.18 X577,X574) => 136.18/137.18 in( 136.18/137.18 ap( 136.18/137.18 X574, 136.18/137.18 X575, 136.18/137.18 X576,X577), 136.18/137.18 X575))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X578, 136.18/137.18 X579,X580]: 136.18/137.18 (func( 136.18/137.18 X578, 136.18/137.18 X579,X580) => 136.18/137.18 in( 136.18/137.18 X580, 136.18/137.18 funcSet( 136.18/137.18 X578,X579)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X581, 136.18/137.18 X582, 136.18/137.18 X583:( 136.18/137.18 $i > $i)]: 136.18/137.18 (( 136.18/137.18 ![X584]: 136.18/137.18 (in( 136.18/137.18 X584,X581) => 136.18/137.18 in( 136.18/137.18 X583( 136.18/137.18 X584), 136.18/137.18 X582))) => 136.18/137.18 func( 136.18/137.18 X581, 136.18/137.18 X582, 136.18/137.18 dpsetconstr( 136.18/137.18 X581, 136.18/137.18 X582, 136.18/137.18 ^[V_37, 136.18/137.18 V_38]: 136.18/137.18 (X583( 136.18/137.18 V_37) = 136.18/137.18 V_38))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X585, 136.18/137.18 X586, 136.18/137.18 X587:( 136.18/137.18 $i > $i)]: 136.18/137.18 (( 136.18/137.18 ![X588]: 136.18/137.18 (in( 136.18/137.18 X588,X585) => 136.18/137.18 in( 136.18/137.18 X587( 136.18/137.18 X588), 136.18/137.18 X586))) => 136.18/137.18 func( 136.18/137.18 X585, 136.18/137.18 X586, 136.18/137.18 lam( 136.18/137.18 X585, 136.18/137.18 X586, 136.18/137.18 ^[V_39]: 136.18/137.18 X587( 136.18/137.18 V_39))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X589, 136.18/137.18 X590, 136.18/137.18 X591:( 136.18/137.18 $i > $i)]: 136.18/137.18 (( 136.18/137.18 ![X592]: 136.18/137.18 (in( 136.18/137.18 X592,X589) => 136.18/137.18 in( 136.18/137.18 X591( 136.18/137.18 X592), 136.18/137.18 X590))) => 136.18/137.18 in( 136.18/137.18 lam( 136.18/137.18 X589, 136.18/137.18 X590, 136.18/137.18 ^[V_40]: 136.18/137.18 X591( 136.18/137.18 V_40)), 136.18/137.18 funcSet( 136.18/137.18 X589,X590)))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X593, 136.18/137.18 X594,X595]: 136.18/137.18 (breln( 136.18/137.18 X593, 136.18/137.18 X594,X595) => 136.18/137.18 (![X596:( 136.18/137.18 $i > $o)]: 136.18/137.18 (( 136.18/137.18 ![X597]: 136.18/137.18 (in( 136.18/137.18 X597,X593) => 136.18/137.18 (![X598]: 136.18/137.18 (in( 136.18/137.18 X598,X594) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X597,X598), 136.18/137.18 X595) => 136.18/137.18 X596( 136.18/137.18 kpair( 136.18/137.18 X597,X598))))))) => 136.18/137.18 (![X599]: 136.18/137.18 (in( 136.18/137.18 X599,X595) => 136.18/137.18 X596( 136.18/137.18 X599))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X600, 136.18/137.18 X601,X602]: 136.18/137.18 (breln( 136.18/137.18 X600, 136.18/137.18 X601,X602) => 136.18/137.18 (![X603:( 136.18/137.18 $i > $o)]: 136.18/137.18 (( 136.18/137.18 ![X604]: 136.18/137.18 (in( 136.18/137.18 X604,X600) => 136.18/137.18 (![X605]: 136.18/137.18 (in( 136.18/137.18 X605,X601) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X604,X605), 136.18/137.18 X602) => 136.18/137.18 X603( 136.18/137.18 kpair( 136.18/137.18 X604,X605))))))) => 136.18/137.18 (![X606]: 136.18/137.18 (in( 136.18/137.18 X606,X602) => 136.18/137.18 X603( 136.18/137.18 X606))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X607, 136.18/137.18 X608:( 136.18/137.18 $i > $o)]: 136.18/137.18 (ex1( 136.18/137.18 X607, 136.18/137.18 ^[V_41]: 136.18/137.18 X608( 136.18/137.18 V_41)) => 136.18/137.18 (![X609]: 136.18/137.18 (in( 136.18/137.18 X609,X607) => 136.18/137.18 (![X610]: 136.18/137.18 (in( 136.18/137.18 X610,X607) => 136.18/137.18 (X608( 136.18/137.18 X609) => 136.18/137.18 (X608( 136.18/137.18 X610) => 136.18/137.18 (X609 = 136.18/137.18 X610))))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X611, 136.18/137.18 X612,X613]: 136.18/137.18 (func( 136.18/137.18 X611, 136.18/137.18 X612,X613) => 136.18/137.18 (![X614]: 136.18/137.18 (in( 136.18/137.18 X614,X611) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X614, 136.18/137.18 ap( 136.18/137.18 X611, 136.18/137.18 X612, 136.18/137.18 X613,X614)), 136.18/137.18 X613))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X615, 136.18/137.18 X616,X617]: 136.18/137.18 (in( 136.18/137.18 X617, 136.18/137.18 funcSet( 136.18/137.18 X615,X616)) => 136.18/137.18 (![X618]: 136.18/137.18 (in( 136.18/137.18 X618,X615) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X618, 136.18/137.18 ap( 136.18/137.18 X615, 136.18/137.18 X616, 136.18/137.18 X617,X618)), 136.18/137.18 X617))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X619, 136.18/137.18 X620,X621]: 136.18/137.18 (func( 136.18/137.18 X619, 136.18/137.18 X620,X621) => 136.18/137.18 (![X622]: 136.18/137.18 (in( 136.18/137.18 X622,X619) => 136.18/137.18 (![X623]: 136.18/137.18 (in( 136.18/137.18 X623,X620) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X622,X623), 136.18/137.18 X621) => 136.18/137.18 (ap( 136.18/137.18 X619, 136.18/137.18 X620, 136.18/137.18 X621,X622) = 136.18/137.18 X623)))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X624, 136.18/137.18 X625,X626]: 136.18/137.18 (func( 136.18/137.18 X624, 136.18/137.18 X625,X626) => 136.18/137.18 (![X627]: 136.18/137.18 (func( 136.18/137.18 X624, 136.18/137.18 X625,X627) => 136.18/137.18 (( 136.18/137.18 ![X628]: 136.18/137.18 (in( 136.18/137.18 X628,X624) => 136.18/137.18 (ap( 136.18/137.18 X624, 136.18/137.18 X625, 136.18/137.18 X626,X628) = 136.18/137.18 ap( 136.18/137.18 X624, 136.18/137.18 X625, 136.18/137.18 X627,X628)))) => 136.18/137.18 (![X629]: 136.18/137.18 (in( 136.18/137.18 X629,X624) => 136.18/137.18 (![X630]: 136.18/137.18 (in( 136.18/137.18 X630,X625) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X629,X630), 136.18/137.18 X627) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X629,X630), 136.18/137.18 X626))))))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X631, 136.18/137.18 X632,X633]: 136.18/137.18 (in( 136.18/137.18 X633, 136.18/137.18 funcSet( 136.18/137.18 X631,X632)) => 136.18/137.18 (![X634]: 136.18/137.18 (in( 136.18/137.18 X634,X631) => 136.18/137.18 (![X635]: 136.18/137.18 (in( 136.18/137.18 X635,X632) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X634,X635), 136.18/137.18 X633) => 136.18/137.18 (ap( 136.18/137.18 X631, 136.18/137.18 X632, 136.18/137.18 X633,X634) = 136.18/137.18 X635)))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X636, 136.18/137.18 X637,X638]: 136.18/137.18 (breln( 136.18/137.18 X636, 136.18/137.18 X637,X638) => 136.18/137.18 (![X639]: 136.18/137.18 (breln( 136.18/137.18 X636, 136.18/137.18 X637,X639) => 136.18/137.18 (( 136.18/137.18 ![X640]: 136.18/137.18 (in( 136.18/137.18 X640,X636) => 136.18/137.18 (![X641]: 136.18/137.18 (in( 136.18/137.18 X641,X637) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X640,X641), 136.18/137.18 X638) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X640,X641), 136.18/137.18 X639)))))) => 136.18/137.18 subset( 136.18/137.18 X638,X639)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X642, 136.18/137.18 X643,X644]: 136.18/137.18 (breln( 136.18/137.18 X642, 136.18/137.18 X643,X644) => 136.18/137.18 (![X645]: 136.18/137.18 (breln( 136.18/137.18 X642, 136.18/137.18 X643,X645) => 136.18/137.18 (( 136.18/137.18 ![X646]: 136.18/137.18 (in( 136.18/137.18 X646,X642) => 136.18/137.18 (![X647]: 136.18/137.18 (in( 136.18/137.18 X647,X643) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X646,X647), 136.18/137.18 X644) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X646,X647), 136.18/137.18 X645)))))) => 136.18/137.18 (( 136.18/137.18 ![X648]: 136.18/137.18 (in( 136.18/137.18 X648,X642) => 136.18/137.18 (![X649]: 136.18/137.18 (in( 136.18/137.18 X649,X643) => 136.18/137.18 (in( 136.18/137.18 kpair( 136.18/137.18 X648,X649), 136.18/137.18 X645) => 136.18/137.18 in( 136.18/137.18 kpair( 136.18/137.18 X648,X649), 136.18/137.18 X644)))))) => 136.18/137.18 (X644 = 136.18/137.18 X645))))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X650, 136.18/137.18 X651,X652]: 136.18/137.18 (func( 136.18/137.18 X650, 136.18/137.18 X651,X652) => 136.18/137.18 (![X653]: 136.18/137.18 (func( 136.18/137.18 X650, 136.18/137.18 X651,X653) => 136.18/137.18 (( 136.18/137.18 ![X654]: 136.18/137.18 (in( 136.18/137.18 X654,X650) => 136.18/137.18 (ap( 136.18/137.18 X650, 136.18/137.18 X651, 136.18/137.18 X652,X654) = 136.18/137.18 ap( 136.18/137.18 X650, 136.18/137.18 X651, 136.18/137.18 X653,X654)))) => 136.18/137.18 (X652 = 136.18/137.18 X653)))))) => 136.18/137.18 ( 136.18/137.18 ( 136.18/137.18 ![X655, 136.18/137.18 X656,X657]: 136.18/137.18 (in( 136.19/137.18 X657, 136.19/137.18 funcSet( 136.19/137.18 X655,X656)) => 136.19/137.18 (![X658]: 136.19/137.18 (in( 136.19/137.18 X658, 136.19/137.18 funcSet( 136.19/137.18 X655,X656)) => 136.19/137.18 (( 136.19/137.18 ![X659]: 136.19/137.18 (in( 136.19/137.18 X659,X655) => 136.19/137.18 (ap( 136.19/137.18 X655, 136.19/137.18 X656, 136.19/137.18 X657,X659) = 136.19/137.18 ap( 136.19/137.18 X655, 136.19/137.18 X656, 136.19/137.18 X658,X659)))) => 136.19/137.18 (X657 = 136.19/137.18 X658)))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X660, 136.19/137.18 X661,X662]: 136.19/137.18 (in( 136.19/137.18 X662, 136.19/137.18 funcSet( 136.19/137.18 X660,X661)) => 136.19/137.18 (![X663]: 136.19/137.18 (in( 136.19/137.18 X663,X660) => 136.19/137.18 (ap( 136.19/137.18 X660, 136.19/137.18 X661, 136.19/137.18 X662,X663) = 136.19/137.18 ap( 136.19/137.18 X660, 136.19/137.18 X661, 136.19/137.18 X662,X663)))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X664, 136.19/137.18 X665,X666]: 136.19/137.18 (func( 136.19/137.18 X664, 136.19/137.18 X665,X666) => 136.19/137.18 (![X667]: 136.19/137.18 (in( 136.19/137.18 X667,X664) => 136.19/137.18 (ap( 136.19/137.18 X664, 136.19/137.18 X665, 136.19/137.18 X666,X667) = 136.19/137.18 ap( 136.19/137.18 X664, 136.19/137.18 X665, 136.19/137.18 X666,X667)))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X668, 136.19/137.18 X669, 136.19/137.18 X670:( 136.19/137.18 $i > $i)]: 136.19/137.18 (( 136.19/137.18 ![X671]: 136.19/137.18 (in( 136.19/137.18 X671,X668) => 136.19/137.18 in( 136.19/137.18 X670( 136.19/137.18 X671), 136.19/137.18 X669))) => 136.19/137.18 (![X672]: 136.19/137.18 (in( 136.19/137.18 X672,X668) => 136.19/137.18 (ap( 136.19/137.18 X668, 136.19/137.18 X669, 136.19/137.18 lam( 136.19/137.18 X668, 136.19/137.18 X669, 136.19/137.18 ^[V_42]: 136.19/137.18 X670( 136.19/137.18 V_42)), 136.19/137.18 X672) = 136.19/137.18 X670( 136.19/137.18 X672)))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X673, 136.19/137.18 X674,X675]: 136.19/137.18 (func( 136.19/137.18 X673, 136.19/137.18 X674,X675) => 136.19/137.18 (lam( 136.19/137.18 X673, 136.19/137.18 X674, 136.19/137.18 ^[V_43]: 136.19/137.18 ap( 136.19/137.18 X673, 136.19/137.18 X674, 136.19/137.18 X675,V_43)) = 136.19/137.18 X675))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X676, 136.19/137.18 X677, 136.19/137.18 X678:( 136.19/137.18 $i > $i)]: 136.19/137.18 (( 136.19/137.18 ![X679]: 136.19/137.18 (in( 136.19/137.18 X679,X676) => 136.19/137.18 in( 136.19/137.18 X678( 136.19/137.18 X679), 136.19/137.18 X677))) => 136.19/137.18 (lam( 136.19/137.18 X676, 136.19/137.18 X677, 136.19/137.18 ^[V_44]: 136.19/137.18 X678( 136.19/137.18 V_44)) = 136.19/137.18 lam( 136.19/137.18 X676, 136.19/137.18 X677, 136.19/137.18 ^[V_45]: 136.19/137.18 X678( 136.19/137.18 V_45))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X680, 136.19/137.18 X681, 136.19/137.18 X682:( 136.19/137.18 $i > $i)]: 136.19/137.18 (( 136.19/137.18 ![X683]: 136.19/137.18 (in( 136.19/137.18 X683,X680) => 136.19/137.18 in( 136.19/137.18 X682( 136.19/137.18 X683), 136.19/137.18 X681))) => 136.19/137.18 (![X684]: 136.19/137.18 (in( 136.19/137.18 X684,X680) => 136.19/137.18 (ap( 136.19/137.18 X680, 136.19/137.18 X681, 136.19/137.18 lam( 136.19/137.18 X680, 136.19/137.18 X681, 136.19/137.18 ^[V_46]: 136.19/137.18 X682( 136.19/137.18 V_46)), 136.19/137.18 X684) = 136.19/137.18 X682( 136.19/137.18 X684)))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X685, 136.19/137.18 X686,X687]: 136.19/137.18 (in( 136.19/137.18 X687, 136.19/137.18 funcSet( 136.19/137.18 X685,X686)) => 136.19/137.18 (lam( 136.19/137.18 X685, 136.19/137.18 X686, 136.19/137.18 ^[V_47]: 136.19/137.18 ap( 136.19/137.18 X685, 136.19/137.18 X686, 136.19/137.18 X687,V_47)) = 136.19/137.18 X687))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X688, 136.19/137.18 X689:$o, 136.19/137.18 X690]: 136.19/137.18 (in( 136.19/137.18 X690,X688) => 136.19/137.18 (![X691]: 136.19/137.18 (in( 136.19/137.18 X691,X688) => 136.19/137.18 (( 136.19/137.18 ~X689) => 136.19/137.18 in( 136.19/137.18 X691, 136.19/137.18 dsetconstr( 136.19/137.18 X688, 136.19/137.18 ^[V_48]: 136.19/137.18 (( 136.19/137.18 X689 & 136.19/137.18 ( 136.19/137.18 V_48 = 136.19/137.18 X690)) | 136.19/137.18 (( 136.19/137.18 ~X689) & 136.19/137.18 (V_48 = 136.19/137.18 X691)))))))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X692, 136.19/137.18 X693:$o, 136.19/137.18 X694]: 136.19/137.18 (in( 136.19/137.18 X694,X692) => 136.19/137.18 (![X695]: 136.19/137.18 (in( 136.19/137.18 X695,X692) => 136.19/137.18 (( 136.19/137.18 ~X693) => 136.19/137.18 (dsetconstr( 136.19/137.18 X692, 136.19/137.18 ^[V_49]: 136.19/137.18 (( 136.19/137.18 X693 & 136.19/137.18 ( 136.19/137.18 V_49 = 136.19/137.18 X694)) | 136.19/137.18 (( 136.19/137.18 ~X693) & 136.19/137.18 (V_49 = 136.19/137.18 X695)))) = 136.19/137.18 setadjoin( 136.19/137.18 X695, 136.19/137.18 emptyset))))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X696, 136.19/137.18 X697:$o, 136.19/137.18 X698]: 136.19/137.18 (in( 136.19/137.18 X698,X696) => 136.19/137.18 (![X699]: 136.19/137.18 (in( 136.19/137.18 X699,X696) => 136.19/137.18 (X697 => 136.19/137.18 in( 136.19/137.18 X698, 136.19/137.18 dsetconstr( 136.19/137.18 X696, 136.19/137.18 ^[V_50]: 136.19/137.18 (( 136.19/137.18 X697 & 136.19/137.18 ( 136.19/137.18 V_50 = 136.19/137.18 X698)) | 136.19/137.18 (( 136.19/137.18 ~X697) & 136.19/137.18 (V_50 = 136.19/137.18 X699)))))))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X700, 136.19/137.18 X701:$o, 136.19/137.18 X702]: 136.19/137.18 (in( 136.19/137.18 X702,X700) => 136.19/137.18 (![X703]: 136.19/137.18 (in( 136.19/137.18 X703,X700) => 136.19/137.18 (X701 => 136.19/137.18 (dsetconstr( 136.19/137.18 X700, 136.19/137.18 ^[V_51]: 136.19/137.18 (( 136.19/137.18 X701 & 136.19/137.18 ( 136.19/137.18 V_51 = 136.19/137.18 X702)) | 136.19/137.18 (( 136.19/137.18 ~X701) & 136.19/137.18 (V_51 = 136.19/137.18 X703)))) = 136.19/137.18 setadjoin( 136.19/137.18 X702, 136.19/137.18 emptyset))))))) => 136.19/137.18 ( 136.19/137.18 ( 136.19/137.18 ![X704, 136.19/137.18 X705:$o, 136.19/137.18 X706]: 136.19/137.19 (in( 136.19/137.19 X706,X704) => 136.19/137.19 (![X707]: 136.19/137.19 (in( 136.19/137.19 X707,X704) => 136.19/137.19 singleton( 136.19/137.19 dsetconstr( 136.19/137.19 X704, 136.19/137.19 ^[V_52]: 136.19/137.19 (( 136.19/137.19 X705 & 136.19/137.19 ( 136.19/137.19 V_52 = 136.19/137.19 X706)) | 136.19/137.19 (( 136.19/137.19 ~X705) & 136.19/137.19 (V_52 = 136.19/137.19 X707))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X708, 136.19/137.19 X709:$o, 136.19/137.19 X710]: 136.19/137.19 (in( 136.19/137.19 X710,X708) => 136.19/137.19 (![X711]: 136.19/137.19 (in( 136.19/137.19 X711,X708) => 136.19/137.19 in( 136.19/137.19 if( 136.19/137.19 X708, 136.19/137.19 X709, 136.19/137.19 X710,X711), 136.19/137.19 X708))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X712]: 136.19/137.19 (singleton( 136.19/137.19 X712) => 136.19/137.19 (![X713]: 136.19/137.19 (in( 136.19/137.19 X713,X712) => 136.19/137.19 (setunion( 136.19/137.19 X712) = 136.19/137.19 X713))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X714, 136.19/137.19 X715:$o, 136.19/137.19 X716]: 136.19/137.19 (in( 136.19/137.19 X716,X714) => 136.19/137.19 (![X717]: 136.19/137.19 (in( 136.19/137.19 X717,X714) => 136.19/137.19 (X715 => 136.19/137.19 (if( 136.19/137.19 X714, 136.19/137.19 X715, 136.19/137.19 X716,X717) = 136.19/137.19 X716)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X718, 136.19/137.19 X719:$o, 136.19/137.19 X720]: 136.19/137.19 (in( 136.19/137.19 X720,X718) => 136.19/137.19 (![X721]: 136.19/137.19 (in( 136.19/137.19 X721,X718) => 136.19/137.19 (( 136.19/137.19 ~X719) => 136.19/137.19 (if( 136.19/137.19 X718, 136.19/137.19 X719, 136.19/137.19 X720,X721) = 136.19/137.19 X721)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X722, 136.19/137.19 X723:$o, 136.19/137.19 X724]: 136.19/137.19 (in( 136.19/137.19 X724,X722) => 136.19/137.19 (![X725]: 136.19/137.19 (in( 136.19/137.19 X725,X722) => 136.19/137.19 in( 136.19/137.19 if( 136.19/137.19 X722, 136.19/137.19 X723, 136.19/137.19 X724,X725), 136.19/137.19 setadjoin( 136.19/137.19 X724, 136.19/137.19 setadjoin( 136.19/137.19 X725, 136.19/137.19 emptyset))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X726, 136.19/137.19 X727]: 136.19/137.19 (in( 136.19/137.19 X727, 136.19/137.19 powerset( 136.19/137.19 X726)) => 136.19/137.19 (![X728]: 136.19/137.19 (in( 136.19/137.19 X728, 136.19/137.19 powerset( 136.19/137.19 X726)) => 136.19/137.19 in( 136.19/137.19 binintersect( 136.19/137.19 X727,X728), 136.19/137.19 powerset( 136.19/137.19 X726)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X729, 136.19/137.19 X730]: 136.19/137.19 (in( 136.19/137.19 X730, 136.19/137.19 powerset( 136.19/137.19 X729)) => 136.19/137.19 (![X731]: 136.19/137.19 (in( 136.19/137.19 X731, 136.19/137.19 powerset( 136.19/137.19 X729)) => 136.19/137.19 in( 136.19/137.19 binunion( 136.19/137.19 X730,X731), 136.19/137.19 powerset( 136.19/137.19 X729)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X732, 136.19/137.19 X733]: 136.19/137.19 (in( 136.19/137.19 X733, 136.19/137.19 powerset( 136.19/137.19 X732)) => 136.19/137.19 in( 136.19/137.19 powerset( 136.19/137.19 X733), 136.19/137.19 powerset( 136.19/137.19 powerset( 136.19/137.19 X732))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X734, 136.19/137.19 X735]: 136.19/137.19 (in( 136.19/137.19 X735, 136.19/137.19 powerset( 136.19/137.19 X734)) => 136.19/137.19 (![X736]: 136.19/137.19 (in( 136.19/137.19 X736, 136.19/137.19 powerset( 136.19/137.19 X734)) => 136.19/137.19 in( 136.19/137.19 setminus( 136.19/137.19 X735,X736), 136.19/137.19 powerset( 136.19/137.19 X734)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X737, 136.19/137.19 X738]: 136.19/137.19 (in( 136.19/137.19 X738, 136.19/137.19 powerset( 136.19/137.19 X737)) => 136.19/137.19 in( 136.19/137.19 setminus( 136.19/137.19 X737,X738), 136.19/137.19 powerset( 136.19/137.19 X737)))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X739, 136.19/137.19 X740]: 136.19/137.19 (in( 136.19/137.19 X740, 136.19/137.19 powerset( 136.19/137.19 X739)) => 136.19/137.19 (![X741]: 136.19/137.19 (in( 136.19/137.19 X741, 136.19/137.19 powerset( 136.19/137.19 X739)) => 136.19/137.19 (( 136.19/137.19 ![X742]: 136.19/137.19 (in( 136.19/137.19 X742,X739) => 136.19/137.19 (in( 136.19/137.19 X742,X740) => 136.19/137.19 in( 136.19/137.19 X742,X741)))) => 136.19/137.19 (( 136.19/137.19 ![X743]: 136.19/137.19 (in( 136.19/137.19 X743,X739) => 136.19/137.19 (in( 136.19/137.19 X743,X741) => 136.19/137.19 in( 136.19/137.19 X743,X740)))) => 136.19/137.19 (X740 = 136.19/137.19 X741))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X744, 136.19/137.19 X745]: 136.19/137.19 (in( 136.19/137.19 X745, 136.19/137.19 powerset( 136.19/137.19 X744)) => 136.19/137.19 (![X746]: 136.19/137.19 (in( 136.19/137.19 X746, 136.19/137.19 powerset( 136.19/137.19 X744)) => 136.19/137.19 (( 136.19/137.19 ![X747]: 136.19/137.19 (in( 136.19/137.19 X747,X744) => 136.19/137.19 (in( 136.19/137.19 X747,X745) => 136.19/137.19 in( 136.19/137.19 X747,X746)))) => 136.19/137.19 subset( 136.19/137.19 X745,X746)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X748, 136.19/137.19 X749]: 136.19/137.19 (in( 136.19/137.19 X749, 136.19/137.19 powerset( 136.19/137.19 X748)) => 136.19/137.19 (![X750]: 136.19/137.19 (in( 136.19/137.19 X750, 136.19/137.19 powerset( 136.19/137.19 X748)) => 136.19/137.19 (( 136.19/137.19 ![X751]: 136.19/137.19 (in( 136.19/137.19 X751,X748) => 136.19/137.19 (in( 136.19/137.19 X751,X749) => 136.19/137.19 in( 136.19/137.19 X751,X750)))) => 136.19/137.19 in( 136.19/137.19 X749, 136.19/137.19 powerset( 136.19/137.19 X750))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X752, 136.19/137.19 X753]: 136.19/137.19 (in( 136.19/137.19 X753, 136.19/137.19 powerset( 136.19/137.19 X752)) => 136.19/137.19 (![X754]: 136.19/137.19 (in( 136.19/137.19 X754, 136.19/137.19 powerset( 136.19/137.19 X752)) => 136.19/137.19 (![X755]: 136.19/137.19 (in( 136.19/137.19 X755,X752) => 136.19/137.19 (in( 136.19/137.19 X753, 136.19/137.19 powerset( 136.19/137.19 X754)) => 136.19/137.19 (in( 136.19/137.19 X755,X753) => 136.19/137.19 in( 136.19/137.19 X755,X754))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X756, 136.19/137.19 X757]: 136.19/137.19 (in( 136.19/137.19 X757, 136.19/137.19 powerset( 136.19/137.19 X756)) => 136.19/137.19 (![X758]: 136.19/137.19 (in( 136.19/137.19 X758,X756) => 136.19/137.19 (in( 136.19/137.19 X758,X757) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X758, 136.19/137.19 setminus( 136.19/137.19 X756,X757)))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X759, 136.19/137.19 X760]: 136.19/137.19 (in( 136.19/137.19 X760, 136.19/137.19 powerset( 136.19/137.19 X759)) => 136.19/137.19 (![X761]: 136.19/137.19 (in( 136.19/137.19 X761,X759) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X761, 136.19/137.19 setminus( 136.19/137.19 X759,X760))) => 136.19/137.19 in( 136.19/137.19 X761,X760)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X762, 136.19/137.19 X763]: 136.19/137.19 (in( 136.19/137.19 X763, 136.19/137.19 powerset( 136.19/137.19 X762)) => 136.19/137.19 (![X764]: 136.19/137.19 (in( 136.19/137.19 X764, 136.19/137.19 powerset( 136.19/137.19 X762)) => 136.19/137.19 (![X765]: 136.19/137.19 (in( 136.19/137.19 X765,X762) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X765,X763)) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X765, 136.19/137.19 binintersect( 136.19/137.19 X763,X764)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X766, 136.19/137.19 X767]: 136.19/137.19 (in( 136.19/137.19 X767, 136.19/137.19 powerset( 136.19/137.19 X766)) => 136.19/137.19 (![X768]: 136.19/137.19 (in( 136.19/137.19 X768, 136.19/137.19 powerset( 136.19/137.19 X766)) => 136.19/137.19 (![X769]: 136.19/137.19 (in( 136.19/137.19 X769,X766) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X769,X768)) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X769, 136.19/137.19 binintersect( 136.19/137.19 X767,X768)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X770, 136.19/137.19 X771]: 136.19/137.19 (in( 136.19/137.19 X771, 136.19/137.19 powerset( 136.19/137.19 X770)) => 136.19/137.19 (![X772]: 136.19/137.19 (in( 136.19/137.19 X772, 136.19/137.19 powerset( 136.19/137.19 X770)) => 136.19/137.19 (![X773]: 136.19/137.19 (in( 136.19/137.19 X773,X770) => 136.19/137.19 (subset( 136.19/137.19 X771, 136.19/137.19 setminus( 136.19/137.19 X770,X772)) => 136.19/137.19 (in( 136.19/137.19 X773,X772) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X773,X771)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X774, 136.19/137.19 X775]: 136.19/137.19 (in( 136.19/137.19 X775, 136.19/137.19 powerset( 136.19/137.19 X774)) => 136.19/137.19 (![X776]: 136.19/137.19 (in( 136.19/137.19 X776, 136.19/137.19 powerset( 136.19/137.19 X774)) => 136.19/137.19 (![X777]: 136.19/137.19 (in( 136.19/137.19 X777,X774) => 136.19/137.19 (subset( 136.19/137.19 X775,X776) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X777,X776)) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X777,X775)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X778, 136.19/137.19 X779]: 136.19/137.19 (in( 136.19/137.19 X779, 136.19/137.19 powerset( 136.19/137.19 X778)) => 136.19/137.19 (![X780]: 136.19/137.19 (in( 136.19/137.19 X780, 136.19/137.19 powerset( 136.19/137.19 X778)) => 136.19/137.19 (subset( 136.19/137.19 X779,X780) => 136.19/137.19 subset( 136.19/137.19 setminus( 136.19/137.19 X778,X780), 136.19/137.19 setminus( 136.19/137.19 X778,X779))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X781, 136.19/137.19 X782]: 136.19/137.19 (in( 136.19/137.19 X782, 136.19/137.19 powerset( 136.19/137.19 X781)) => 136.19/137.19 (![X783]: 136.19/137.19 (in( 136.19/137.19 X783, 136.19/137.19 powerset( 136.19/137.19 X781)) => 136.19/137.19 (subset( 136.19/137.19 setminus( 136.19/137.19 X781,X783), 136.19/137.19 setminus( 136.19/137.19 X781,X782)) => 136.19/137.19 subset( 136.19/137.19 X782,X783)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X784, 136.19/137.19 X785]: 136.19/137.19 (in( 136.19/137.19 X785, 136.19/137.19 powerset( 136.19/137.19 X784)) => 136.19/137.19 (![X786]: 136.19/137.19 (in( 136.19/137.19 X786,X784) => 136.19/137.19 (in( 136.19/137.19 X786,X785) => 136.19/137.19 in( 136.19/137.19 X786, 136.19/137.19 setminus( 136.19/137.19 X784, 136.19/137.19 setminus( 136.19/137.19 X784,X785)))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X787, 136.19/137.19 X788]: 136.19/137.19 (in( 136.19/137.19 X788, 136.19/137.19 powerset( 136.19/137.19 X787)) => 136.19/137.19 (![X789]: 136.19/137.19 (in( 136.19/137.19 X789,X787) => 136.19/137.19 (in( 136.19/137.19 X789, 136.19/137.19 setminus( 136.19/137.19 X787, 136.19/137.19 setminus( 136.19/137.19 X787,X788))) => 136.19/137.19 in( 136.19/137.19 X789,X788)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X790, 136.19/137.19 X791]: 136.19/137.19 (in( 136.19/137.19 X791, 136.19/137.19 powerset( 136.19/137.19 X790)) => 136.19/137.19 subset( 136.19/137.19 X791, 136.19/137.19 setminus( 136.19/137.19 X790, 136.19/137.19 setminus( 136.19/137.19 X790,X791))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X792, 136.19/137.19 X793]: 136.19/137.19 (in( 136.19/137.19 X793, 136.19/137.19 powerset( 136.19/137.19 X792)) => 136.19/137.19 subset( 136.19/137.19 setminus( 136.19/137.19 X792, 136.19/137.19 setminus( 136.19/137.19 X792,X793)), 136.19/137.19 X793))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X794, 136.19/137.19 X795]: 136.19/137.19 (in( 136.19/137.19 X795, 136.19/137.19 powerset( 136.19/137.19 X794)) => 136.19/137.19 (X795 = 136.19/137.19 setminus( 136.19/137.19 X794, 136.19/137.19 setminus( 136.19/137.19 X794,X795))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X796, 136.19/137.19 X797]: 136.19/137.19 (in( 136.19/137.19 X797, 136.19/137.19 powerset( 136.19/137.19 X796)) => 136.19/137.19 (![X798]: 136.19/137.19 (in( 136.19/137.19 X798, 136.19/137.19 powerset( 136.19/137.19 X796)) => 136.19/137.19 (![X799]: 136.19/137.19 (in( 136.19/137.19 X799,X796) => 136.19/137.19 (in( 136.19/137.19 X799, 136.19/137.19 setminus( 136.19/137.19 X796,X797)) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X799, 136.19/137.19 binintersect( 136.19/137.19 X797,X798)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X800, 136.19/137.19 X801]: 136.19/137.19 (in( 136.19/137.19 X801, 136.19/137.19 powerset( 136.19/137.19 X800)) => 136.19/137.19 (![X802]: 136.19/137.19 (in( 136.19/137.19 X802, 136.19/137.19 powerset( 136.19/137.19 X800)) => 136.19/137.19 (![X803]: 136.19/137.19 (in( 136.19/137.19 X803,X800) => 136.19/137.19 (in( 136.19/137.19 X803, 136.19/137.19 setminus( 136.19/137.19 X800,X801)) => 136.19/137.19 in( 136.19/137.19 X803, 136.19/137.19 setminus( 136.19/137.19 X800, 136.19/137.19 binintersect( 136.19/137.19 X801,X802)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X804, 136.19/137.19 X805]: 136.19/137.19 (in( 136.19/137.19 X805, 136.19/137.19 powerset( 136.19/137.19 X804)) => 136.19/137.19 (![X806]: 136.19/137.19 (in( 136.19/137.19 X806, 136.19/137.19 powerset( 136.19/137.19 X804)) => 136.19/137.19 subset( 136.19/137.19 setminus( 136.19/137.19 X804,X805), 136.19/137.19 setminus( 136.19/137.19 X804, 136.19/137.19 binintersect( 136.19/137.19 X805,X806))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X807, 136.19/137.19 X808]: 136.19/137.19 (in( 136.19/137.19 X808, 136.19/137.19 powerset( 136.19/137.19 X807)) => 136.19/137.19 (![X809]: 136.19/137.19 (in( 136.19/137.19 X809, 136.19/137.19 powerset( 136.19/137.19 X807)) => 136.19/137.19 in( 136.19/137.19 setminus( 136.19/137.19 X807,X808), 136.19/137.19 powerset( 136.19/137.19 setminus( 136.19/137.19 X807, 136.19/137.19 binintersect( 136.19/137.19 X808,X809)))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X810, 136.19/137.19 X811]: 136.19/137.19 (in( 136.19/137.19 X811, 136.19/137.19 powerset( 136.19/137.19 X810)) => 136.19/137.19 (![X812]: 136.19/137.19 (in( 136.19/137.19 X812, 136.19/137.19 powerset( 136.19/137.19 X810)) => 136.19/137.19 (subset( 136.19/137.19 X811, 136.19/137.19 setminus( 136.19/137.19 X810,X812)) => 136.19/137.19 (![X813]: 136.19/137.19 (in( 136.19/137.19 X813,X810) => 136.19/137.19 (in( 136.19/137.19 X813,X812) => 136.19/137.19 in( 136.19/137.19 X813, 136.19/137.19 setminus( 136.19/137.19 X810,X811)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X814, 136.19/137.19 X815]: 136.19/137.19 (in( 136.19/137.19 X815, 136.19/137.19 powerset( 136.19/137.19 X814)) => 136.19/137.19 (![X816]: 136.19/137.19 (in( 136.19/137.19 X816, 136.19/137.19 powerset( 136.19/137.19 X814)) => 136.19/137.19 (subset( 136.19/137.19 X815, 136.19/137.19 setminus( 136.19/137.19 X814,X816)) => 136.19/137.19 subset( 136.19/137.19 X816, 136.19/137.19 setminus( 136.19/137.19 X814,X815))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X817, 136.19/137.19 X818]: 136.19/137.19 (in( 136.19/137.19 X818, 136.19/137.19 powerset( 136.19/137.19 X817)) => 136.19/137.19 (![X819]: 136.19/137.19 (in( 136.19/137.19 X819, 136.19/137.19 powerset( 136.19/137.19 X817)) => 136.19/137.19 (![X820]: 136.19/137.19 (in( 136.19/137.19 X820,X817) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X820, 136.19/137.19 binunion( 136.19/137.19 X818,X819))) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X820,X818))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X821, 136.19/137.19 X822]: 136.19/137.19 (in( 136.19/137.19 X822, 136.19/137.19 powerset( 136.19/137.19 X821)) => 136.19/137.19 (![X823]: 136.19/137.19 (in( 136.19/137.19 X823, 136.19/137.19 powerset( 136.19/137.19 X821)) => 136.19/137.19 (![X824]: 136.19/137.19 (in( 136.19/137.19 X824,X821) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X824, 136.19/137.19 binunion( 136.19/137.19 X822,X823))) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X824,X823))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X825, 136.19/137.19 X826]: 136.19/137.19 (in( 136.19/137.19 X826, 136.19/137.19 powerset( 136.19/137.19 X825)) => 136.19/137.19 (![X827]: 136.19/137.19 (in( 136.19/137.19 X827, 136.19/137.19 powerset( 136.19/137.19 X825)) => 136.19/137.19 (![X828]: 136.19/137.19 (in( 136.19/137.19 X828, 136.19/137.19 powerset( 136.19/137.19 X825)) => 136.19/137.19 (![X829]: 136.19/137.19 (in( 136.19/137.19 X829,X825) => 136.19/137.19 (in( 136.19/137.19 X829, 136.19/137.19 binintersect( 136.19/137.19 X826,X827)) => 136.19/137.19 in( 136.19/137.19 X829, 136.19/137.19 binunion( 136.19/137.19 X826,X828))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X830, 136.19/137.19 X831]: 136.19/137.19 (in( 136.19/137.19 X831, 136.19/137.19 powerset( 136.19/137.19 X830)) => 136.19/137.19 (![X832]: 136.19/137.19 (in( 136.19/137.19 X832, 136.19/137.19 powerset( 136.19/137.19 X830)) => 136.19/137.19 (![X833]: 136.19/137.19 (in( 136.19/137.19 X833, 136.19/137.19 powerset( 136.19/137.19 X830)) => 136.19/137.19 (![X834]: 136.19/137.19 (in( 136.19/137.19 X834,X830) => 136.19/137.19 (in( 136.19/137.19 X834, 136.19/137.19 binintersect( 136.19/137.19 X831,X832)) => 136.19/137.19 in( 136.19/137.19 X834, 136.19/137.19 binunion( 136.19/137.19 X832,X833))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X835, 136.19/137.19 X836]: 136.19/137.19 (in( 136.19/137.19 X836, 136.19/137.19 powerset( 136.19/137.19 X835)) => 136.19/137.19 (![X837]: 136.19/137.19 (in( 136.19/137.19 X837, 136.19/137.19 powerset( 136.19/137.19 X835)) => 136.19/137.19 (![X838]: 136.19/137.19 (in( 136.19/137.19 X838, 136.19/137.19 powerset( 136.19/137.19 X835)) => 136.19/137.19 (![X839]: 136.19/137.19 (in( 136.19/137.19 X839,X835) => 136.19/137.19 (in( 136.19/137.19 X839, 136.19/137.19 binintersect( 136.19/137.19 X836,X837)) => 136.19/137.19 in( 136.19/137.19 X839, 136.19/137.19 binintersect( 136.19/137.19 binunion( 136.19/137.19 X836,X838), 136.19/137.19 binunion( 136.19/137.19 X837,X838)))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X840, 136.19/137.19 X841]: 136.19/137.19 (in( 136.19/137.19 X841, 136.19/137.19 powerset( 136.19/137.19 X840)) => 136.19/137.19 (![X842]: 136.19/137.19 (in( 136.19/137.19 X842, 136.19/137.19 powerset( 136.19/137.19 X840)) => 136.19/137.19 (![X843]: 136.19/137.19 (in( 136.19/137.19 X843, 136.19/137.19 powerset( 136.19/137.19 X840)) => 136.19/137.19 in( 136.19/137.19 binintersect( 136.19/137.19 X841,X842), 136.19/137.19 powerset( 136.19/137.19 binintersect( 136.19/137.19 binunion( 136.19/137.19 X841,X843), 136.19/137.19 binunion( 136.19/137.19 X842,X843)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X844, 136.19/137.19 X845]: 136.19/137.19 (in( 136.19/137.19 X845, 136.19/137.19 powerset( 136.19/137.19 X844)) => 136.19/137.19 (![X846]: 136.19/137.19 (in( 136.19/137.19 X846, 136.19/137.19 powerset( 136.19/137.19 X844)) => 136.19/137.19 (![X847]: 136.19/137.19 (in( 136.19/137.19 X847,X844) => 136.19/137.19 (in( 136.19/137.19 X847, 136.19/137.19 setminus( 136.19/137.19 X844, 136.19/137.19 binunion( 136.19/137.19 X845,X846))) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X847,X845))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X848, 136.19/137.19 X849]: 136.19/137.19 (in( 136.19/137.19 X849, 136.19/137.19 powerset( 136.19/137.19 X848)) => 136.19/137.19 (![X850]: 136.19/137.19 (in( 136.19/137.19 X850, 136.19/137.19 powerset( 136.19/137.19 X848)) => 136.19/137.19 (![X851]: 136.19/137.19 (in( 136.19/137.19 X851,X848) => 136.19/137.19 (in( 136.19/137.19 X851, 136.19/137.19 setminus( 136.19/137.19 X848, 136.19/137.19 binunion( 136.19/137.19 X849,X850))) => 136.19/137.19 in( 136.19/137.19 X851, 136.19/137.19 setminus( 136.19/137.19 X848,X849))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X852, 136.19/137.19 X853]: 136.19/137.19 (in( 136.19/137.19 X853, 136.19/137.19 powerset( 136.19/137.19 X852)) => 136.19/137.19 (![X854]: 136.19/137.19 (in( 136.19/137.19 X854, 136.19/137.19 powerset( 136.19/137.19 X852)) => 136.19/137.19 (![X855:$o, 136.19/137.19 X856]: 136.19/137.19 (in( 136.19/137.19 X856,X852) => 136.19/137.19 (in( 136.19/137.19 X856, 136.19/137.19 binunion( 136.19/137.19 X853,X854)) => 136.19/137.19 (( 136.19/137.19 in( 136.19/137.19 X856,X853) => 136.19/137.19 X855) => 136.19/137.19 (( 136.19/137.19 in( 136.19/137.19 X856,X854) => 136.19/137.19 X855) => 136.19/137.19 X855))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X857, 136.19/137.19 X858]: 136.19/137.19 (in( 136.19/137.19 X858, 136.19/137.19 powerset( 136.19/137.19 X857)) => 136.19/137.19 (![X859]: 136.19/137.19 (in( 136.19/137.19 X859, 136.19/137.19 powerset( 136.19/137.19 X857)) => 136.19/137.19 (![X860]: 136.19/137.19 (in( 136.19/137.19 X860,X857) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X860,X858)) => 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 in( 136.19/137.19 X860,X859)) => 136.19/137.19 (~ 136.19/137.19 in( 136.19/137.19 X860, 136.19/137.19 binunion( 136.19/137.19 X858,X859))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X861, 136.19/137.19 X862]: 136.19/137.19 (in( 136.19/137.19 X862, 136.19/137.19 powerset( 136.19/137.19 X861)) => 136.19/137.19 (![X863]: 136.19/137.19 (in( 136.19/137.19 X863, 136.19/137.19 powerset( 136.19/137.19 X861)) => 136.19/137.19 (![X864]: 136.19/137.19 (in( 136.19/137.19 X864,X861) => 136.19/137.19 (in( 136.19/137.19 X864, 136.19/137.19 setminus( 136.19/137.19 X861, 136.19/137.19 binunion( 136.19/137.19 X862,X863))) => 136.19/137.19 in( 136.19/137.19 X864, 136.19/137.19 setminus( 136.19/137.19 X861,X862))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X865, 136.19/137.19 X866]: 136.19/137.19 (in( 136.19/137.19 X866, 136.19/137.19 powerset( 136.19/137.19 X865)) => 136.19/137.19 (![X867]: 136.19/137.19 (in( 136.19/137.19 X867, 136.19/137.19 powerset( 136.19/137.19 X865)) => 136.19/137.19 in( 136.19/137.19 setminus( 136.19/137.19 X865, 136.19/137.19 binunion( 136.19/137.19 X866,X867)), 136.19/137.19 powerset( 136.19/137.19 setminus( 136.19/137.19 X865,X866))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X868, 136.19/137.19 X869]: 136.19/137.19 (in( 136.19/137.19 X869, 136.19/137.19 powerset( 136.19/137.19 X868)) => 136.19/137.19 (![X870]: 136.19/137.19 (in( 136.19/137.19 X870, 136.19/137.19 powerset( 136.19/137.19 X868)) => 136.19/137.19 (![X871]: 136.19/137.19 (in( 136.19/137.19 X871,X868) => 136.19/137.19 (in( 136.19/137.19 X871, 136.19/137.19 setminus( 136.19/137.19 X868, 136.19/137.19 binunion( 136.19/137.19 X869,X870))) => 136.19/137.19 in( 136.19/137.19 X871, 136.19/137.19 setminus( 136.19/137.19 X868,X870))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X872, 136.19/137.19 X873]: 136.19/137.19 (in( 136.19/137.19 X873, 136.19/137.19 powerset( 136.19/137.19 X872)) => 136.19/137.19 (![X874]: 136.19/137.19 (in( 136.19/137.19 X874, 136.19/137.19 powerset( 136.19/137.19 X872)) => 136.19/137.19 (![X875]: 136.19/137.19 (in( 136.19/137.19 X875,X872) => 136.19/137.19 (in( 136.19/137.19 X875, 136.19/137.19 setminus( 136.19/137.19 X872, 136.19/137.19 binintersect( 136.19/137.19 X873,X874))) => 136.19/137.19 in( 136.19/137.19 X875, 136.19/137.19 binunion( 136.19/137.19 setminus( 136.19/137.19 X872,X873), 136.19/137.19 setminus( 136.19/137.19 X872,X874)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X876, 136.19/137.19 X877]: 136.19/137.19 (in( 136.19/137.19 X877, 136.19/137.19 powerset( 136.19/137.19 X876)) => 136.19/137.19 (![X878]: 136.19/137.19 (in( 136.19/137.19 X878, 136.19/137.19 powerset( 136.19/137.19 X876)) => 136.19/137.19 (![X879]: 136.19/137.19 (in( 136.19/137.19 X879,X876) => 136.19/137.19 (in( 136.19/137.19 X879, 136.19/137.19 binunion( 136.19/137.19 setminus( 136.19/137.19 X876,X877), 136.19/137.19 setminus( 136.19/137.19 X876,X878))) => 136.19/137.19 in( 136.19/137.19 X879, 136.19/137.19 setminus( 136.19/137.19 X876, 136.19/137.19 binintersect( 136.19/137.19 X877,X878)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X880, 136.19/137.19 X881]: 136.19/137.19 (in( 136.19/137.19 X881, 136.19/137.19 powerset( 136.19/137.19 X880)) => 136.19/137.19 (![X882]: 136.19/137.19 (in( 136.19/137.19 X882, 136.19/137.19 powerset( 136.19/137.19 X880)) => 136.19/137.19 (setminus( 136.19/137.19 X880, 136.19/137.19 binintersect( 136.19/137.19 X881,X882)) = 136.19/137.19 binunion( 136.19/137.19 setminus( 136.19/137.19 X880,X881), 136.19/137.19 setminus( 136.19/137.19 X880,X882))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X883, 136.19/137.19 X884]: 136.19/137.19 (in( 136.19/137.19 X884, 136.19/137.19 powerset( 136.19/137.19 X883)) => 136.19/137.19 (![X885]: 136.19/137.19 (in( 136.19/137.19 X885, 136.19/137.19 powerset( 136.19/137.19 X883)) => 136.19/137.19 (![X886]: 136.19/137.19 (in( 136.19/137.19 X886,X883) => 136.19/137.19 (in( 136.19/137.19 X886, 136.19/137.19 setminus( 136.19/137.19 X883, 136.19/137.19 binunion( 136.19/137.19 X884,X885))) => 136.19/137.19 in( 136.19/137.19 X886, 136.19/137.19 binintersect( 136.19/137.19 setminus( 136.19/137.19 X883,X884), 136.19/137.19 setminus( 136.19/137.19 X883,X885)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X887, 136.19/137.19 X888]: 136.19/137.19 (in( 136.19/137.19 X888, 136.19/137.19 powerset( 136.19/137.19 X887)) => 136.19/137.19 (![X889]: 136.19/137.19 (in( 136.19/137.19 X889, 136.19/137.19 powerset( 136.19/137.19 X887)) => 136.19/137.19 (![X890]: 136.19/137.19 (in( 136.19/137.19 X890,X887) => 136.19/137.19 (in( 136.19/137.19 X890, 136.19/137.19 setminus( 136.19/137.19 X887,X888)) => 136.19/137.19 (in( 136.19/137.19 X890, 136.19/137.19 setminus( 136.19/137.19 X887,X889)) => 136.19/137.19 in( 136.19/137.19 X890, 136.19/137.19 setminus( 136.19/137.19 X887, 136.19/137.19 binunion( 136.19/137.19 X888,X889))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X891, 136.19/137.19 X892]: 136.19/137.19 (in( 136.19/137.19 X892, 136.19/137.19 powerset( 136.19/137.19 X891)) => 136.19/137.19 (![X893]: 136.19/137.19 (in( 136.19/137.19 X893, 136.19/137.19 powerset( 136.19/137.19 X891)) => 136.19/137.19 (![X894]: 136.19/137.19 (in( 136.19/137.19 X894,X891) => 136.19/137.19 (in( 136.19/137.19 X894, 136.19/137.19 binintersect( 136.19/137.19 setminus( 136.19/137.19 X891,X892), 136.19/137.19 setminus( 136.19/137.19 X891,X893))) => 136.19/137.19 in( 136.19/137.19 X894, 136.19/137.19 setminus( 136.19/137.19 X891, 136.19/137.19 binunion( 136.19/137.19 X892,X893)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X895, 136.19/137.19 X896]: 136.19/137.19 (in( 136.19/137.19 X896, 136.19/137.19 powerset( 136.19/137.19 X895)) => 136.19/137.19 (![X897]: 136.19/137.19 (in( 136.19/137.19 X897, 136.19/137.19 powerset( 136.19/137.19 X895)) => 136.19/137.19 (setminus( 136.19/137.19 X895, 136.19/137.19 binunion( 136.19/137.19 X896,X897)) = 136.19/137.19 binintersect( 136.19/137.19 setminus( 136.19/137.19 X895,X896), 136.19/137.19 setminus( 136.19/137.19 X895,X897))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X898, 136.19/137.19 X899]: 136.19/137.19 (in( 136.19/137.19 X899, 136.19/137.19 powerset( 136.19/137.19 X898)) => 136.19/137.19 (![X900]: 136.19/137.19 (in( 136.19/137.19 X900, 136.19/137.19 powerset( 136.19/137.19 X898)) => 136.19/137.19 (![X901]: 136.19/137.19 (in( 136.19/137.19 X901, 136.19/137.19 binintersect( 136.19/137.19 X899,X900)) => 136.19/137.19 in( 136.19/137.19 X901,X898))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X902, 136.19/137.19 X903]: 136.19/137.19 (in( 136.19/137.19 X903, 136.19/137.19 powerset( 136.19/137.19 X902)) => 136.19/137.19 (![X904]: 136.19/137.19 (in( 136.19/137.19 X904, 136.19/137.19 powerset( 136.19/137.19 X902)) => 136.19/137.19 (![X905]: 136.19/137.19 (in( 136.19/137.19 X905, 136.19/137.19 powerset( 136.19/137.19 X902)) => 136.19/137.19 (subset( 136.19/137.19 X903,X905) => 136.19/137.19 subset( 136.19/137.19 binintersect( 136.19/137.19 X903,X904), 136.19/137.19 X905)))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X906, 136.19/137.19 X907]: 136.19/137.19 (in( 136.19/137.19 X907, 136.19/137.19 powerset( 136.19/137.19 X906)) => 136.19/137.19 (![X908]: 136.19/137.19 (in( 136.19/137.19 X908, 136.19/137.19 powerset( 136.19/137.19 X906)) => 136.19/137.19 (![X909]: 136.19/137.19 (in( 136.19/137.19 X909, 136.19/137.19 powerset( 136.19/137.19 X906)) => 136.19/137.19 (subset( 136.19/137.19 X908,X909) => 136.19/137.19 subset( 136.19/137.19 binintersect( 136.19/137.19 X907,X908), 136.19/137.19 X909)))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X910, 136.19/137.19 X911]: 136.19/137.19 (in( 136.19/137.19 X911, 136.19/137.19 powerset( 136.19/137.19 X910)) => 136.19/137.19 (![X912]: 136.19/137.19 (in( 136.19/137.19 X912, 136.19/137.19 powerset( 136.19/137.19 X910)) => 136.19/137.19 (![X913]: 136.19/137.19 (in( 136.19/137.19 X913, 136.19/137.19 powerset( 136.19/137.19 X910)) => 136.19/137.19 (subset( 136.19/137.19 X911,X912) => 136.19/137.19 (subset( 136.19/137.19 X911,X913) => 136.19/137.19 subset( 136.19/137.19 X911, 136.19/137.19 binintersect( 136.19/137.19 X912,X913)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X914, 136.19/137.19 X915]: 136.19/137.19 (in( 136.19/137.19 X915, 136.19/137.19 powerset( 136.19/137.19 X914)) => 136.19/137.19 (![X916]: 136.19/137.19 (in( 136.19/137.19 X916, 136.19/137.19 powerset( 136.19/137.19 X914)) => 136.19/137.19 (![X917]: 136.19/137.19 (in( 136.19/137.19 X917, 136.19/137.19 powerset( 136.19/137.19 X914)) => 136.19/137.19 (![X918]: 136.19/137.19 (in( 136.19/137.19 X918, 136.19/137.19 powerset( 136.19/137.19 X914)) => 136.19/137.19 (subset( 136.19/137.19 X915,X917) => 136.19/137.19 (subset( 136.19/137.19 X916,X918) => 136.19/137.19 subset( 136.19/137.19 binintersect( 136.19/137.19 X915,X916), 136.19/137.19 binintersect( 136.19/137.19 X917,X918)))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X919, 136.19/137.19 X920]: 136.19/137.19 (in( 136.19/137.19 X920, 136.19/137.19 powerset( 136.19/137.19 X919)) => 136.19/137.19 (![X921]: 136.19/137.19 (in( 136.19/137.19 X921, 136.19/137.19 powerset( 136.19/137.19 X919)) => 136.19/137.19 in( 136.19/137.19 setminus( 136.19/137.19 X919,X920), 136.19/137.19 powerset( 136.19/137.19 setminus( 136.19/137.19 X919, 136.19/137.19 binintersect( 136.19/137.19 X920,X921)))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X922, 136.19/137.19 X923]: 136.19/137.19 (in( 136.19/137.19 X923, 136.19/137.19 powerset( 136.19/137.19 X922)) => 136.19/137.19 (![X924]: 136.19/137.19 (in( 136.19/137.19 X924, 136.19/137.19 powerset( 136.19/137.19 X922)) => 136.19/137.19 (![X925]: 136.19/137.19 (in( 136.19/137.19 X925, 136.19/137.19 powerset( 136.19/137.19 X922)) => 136.19/137.19 (![X926]: 136.19/137.19 (in( 136.19/137.19 X926, 136.19/137.19 powerset( 136.19/137.19 X922)) => 136.19/137.19 (setminus( 136.19/137.19 X922, 136.19/137.19 binintersect( 136.19/137.19 binunion( 136.19/137.19 X923,X924), 136.19/137.19 binunion( 136.19/137.19 X925,X926))) = 136.19/137.19 binunion( 136.19/137.19 binintersect( 136.19/137.19 setminus( 136.19/137.19 X922,X923), 136.19/137.19 setminus( 136.19/137.19 X922,X924)), 136.19/137.19 binintersect( 136.19/137.19 setminus( 136.19/137.19 X922,X925), 136.19/137.19 setminus( 136.19/137.19 X922,X926)))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X927, 136.19/137.19 X928]: 136.19/137.19 (in( 136.19/137.19 X928, 136.19/137.19 powerset( 136.19/137.19 X927)) => 136.19/137.19 (![X929]: 136.19/137.19 (in( 136.19/137.19 X929, 136.19/137.19 powerset( 136.19/137.19 X927)) => 136.19/137.19 (![X930]: 136.19/137.19 (in( 136.19/137.19 X930, 136.19/137.19 powerset( 136.19/137.19 X927)) => 136.19/137.19 in( 136.19/137.19 binintersect( 136.19/137.19 X928,X929), 136.19/137.19 powerset( 136.19/137.19 binintersect( 136.19/137.19 binunion( 136.19/137.19 X928,X930), 136.19/137.19 binunion( 136.19/137.19 X929,X930)))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X931, 136.19/137.19 X932]: 136.19/137.19 (in( 136.19/137.19 X932, 136.19/137.19 powerset( 136.19/137.19 X931)) => 136.19/137.19 (![X933]: 136.19/137.19 (in( 136.19/137.19 X933, 136.19/137.19 powerset( 136.19/137.19 X931)) => 136.19/137.19 (subset( 136.19/137.19 X932, 136.19/137.19 setminus( 136.19/137.19 X931,X933)) => 136.19/137.19 subset( 136.19/137.19 X933, 136.19/137.19 setminus( 136.19/137.19 X931,X932))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X934, 136.19/137.19 X935]: 136.19/137.19 (in( 136.19/137.19 X935, 136.19/137.19 powerset( 136.19/137.19 X934)) => 136.19/137.19 (![X936]: 136.19/137.19 (in( 136.19/137.19 X936, 136.19/137.19 powerset( 136.19/137.19 X934)) => 136.19/137.19 in( 136.19/137.19 setminus( 136.19/137.19 X934, 136.19/137.19 binunion( 136.19/137.19 X935,X936)), 136.19/137.19 powerset( 136.19/137.19 setminus( 136.19/137.19 X934,X935))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X937, 136.19/137.19 X938]: 136.19/137.19 (breln1( 136.19/137.19 X937,X938) => 136.19/137.19 (![X939:( 136.19/137.19 $i > $o)]: 136.19/137.19 (( 136.19/137.19 ![X940]: 136.19/137.19 (in( 136.19/137.19 X940,X937) => 136.19/137.19 (![X941]: 136.19/137.19 (in( 136.19/137.19 X941,X937) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X940,X941), 136.19/137.19 X938) => 136.19/137.19 X939( 136.19/137.19 kpair( 136.19/137.19 X940,X941))))))) => 136.19/137.19 (![X942]: 136.19/137.19 (in( 136.19/137.19 X942,X938) => 136.19/137.19 X939( 136.19/137.19 X942))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X943, 136.19/137.19 X944]: 136.19/137.19 (in( 136.19/137.19 X944, 136.19/137.19 breln1Set( 136.19/137.19 X943)) => 136.19/137.19 breln1( 136.19/137.19 X943,X944))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X945, 136.19/137.19 X946, 136.19/137.19 X947:( 136.19/137.19 ($i * $i) > 136.19/137.19 $o)]: 136.19/137.19 (( 136.19/137.19 ![X948]: 136.19/137.19 (in( 136.19/137.19 X948,X945) => 136.19/137.19 (?[X949]: 136.19/137.19 (X947( 136.19/137.19 X948,X949) & 136.19/137.19 in( 136.19/137.19 X949,X946))))) => 136.19/137.19 (![X950]: 136.19/137.19 (in( 136.19/137.19 X950, 136.19/137.19 breln1Set( 136.19/137.19 X946)) => 136.19/137.19 (reflwellordering( 136.19/137.19 X946,X950) => 136.19/137.19 (![X951]: 136.19/137.19 (in( 136.19/137.19 X951,X945) => 136.19/137.19 singleton( 136.19/137.19 dsetconstr( 136.19/137.19 X946, 136.19/137.19 ^[V_53]: 136.19/137.19 (X947( 136.19/137.19 X951,V_53) & 136.19/137.19 (![X952]: 136.19/137.19 (in( 136.19/137.19 X952,X946) => 136.19/137.19 (X947( 136.19/137.19 X951,X952) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 V_53,X952), 136.19/137.19 X950)))))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X953, 136.19/137.19 X954:( 136.19/137.19 ($i * $i) > 136.19/137.19 $o)]: 136.19/137.19 breln1( 136.19/137.19 X953, 136.19/137.19 dpsetconstr( 136.19/137.19 X953, 136.19/137.19 X953, 136.19/137.19 ^[V_54, 136.19/137.19 V_55]: 136.19/137.19 X954( 136.19/137.19 V_54,V_55)))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X955, 136.19/137.19 X956]: 136.19/137.19 (breln1( 136.19/137.19 X955,X956) => 136.19/137.19 (![X957:( 136.19/137.19 $i > $o)]: 136.19/137.19 (( 136.19/137.19 ![X958]: 136.19/137.19 (in( 136.19/137.19 X958,X955) => 136.19/137.19 (![X959]: 136.19/137.19 (in( 136.19/137.19 X959,X955) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X958,X959), 136.19/137.19 X956) => 136.19/137.19 X957( 136.19/137.19 kpair( 136.19/137.19 X958,X959))))))) => 136.19/137.19 (![X960]: 136.19/137.19 (in( 136.19/137.19 X960,X956) => 136.19/137.19 X957( 136.19/137.19 X960))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X961, 136.19/137.19 X962]: 136.19/137.19 (breln1( 136.19/137.19 X961,X962) => 136.19/137.19 (![X963]: 136.19/137.19 (breln1( 136.19/137.19 X961,X963) => 136.19/137.19 (( 136.19/137.19 ![X964]: 136.19/137.19 (in( 136.19/137.19 X964,X961) => 136.19/137.19 (![X965]: 136.19/137.19 (in( 136.19/137.19 X965,X961) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X964,X965), 136.19/137.19 X962) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X964,X965), 136.19/137.19 X963)))))) => 136.19/137.19 subset( 136.19/137.19 X962,X963)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X966, 136.19/137.19 X967]: 136.19/137.19 (breln1( 136.19/137.19 X966,X967) => 136.19/137.19 (![X968]: 136.19/137.19 (breln1( 136.19/137.19 X966,X968) => 136.19/137.19 (( 136.19/137.19 ![X969]: 136.19/137.19 (in( 136.19/137.19 X969,X966) => 136.19/137.19 (![X970]: 136.19/137.19 (in( 136.19/137.19 X970,X966) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X969,X970), 136.19/137.19 X967) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X969,X970), 136.19/137.19 X968)))))) => 136.19/137.19 (( 136.19/137.19 ![X971]: 136.19/137.19 (in( 136.19/137.19 X971,X966) => 136.19/137.19 (![X972]: 136.19/137.19 (in( 136.19/137.19 X972,X966) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X971,X972), 136.19/137.19 X968) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X971,X972), 136.19/137.19 X967)))))) => 136.19/137.19 (X967 = 136.19/137.19 X968))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X973, 136.19/137.19 X974]: 136.19/137.19 (breln1( 136.19/137.19 X973,X974) => 136.19/137.19 breln1( 136.19/137.19 X973, 136.19/137.19 breln1invset( 136.19/137.19 X973,X974)))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X975, 136.19/137.19 X976]: 136.19/137.19 (breln1( 136.19/137.19 X975,X976) => 136.19/137.19 (![X977]: 136.19/137.19 (in( 136.19/137.19 X977,X975) => 136.19/137.19 (![X978]: 136.19/137.19 (in( 136.19/137.19 X978,X975) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X977,X978), 136.19/137.19 X976) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X978,X977), 136.19/137.19 breln1invset( 136.19/137.19 X975,X976))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X979, 136.19/137.19 X980]: 136.19/137.19 (breln1( 136.19/137.19 X979,X980) => 136.19/137.19 (![X981]: 136.19/137.19 (in( 136.19/137.19 X981,X979) => 136.19/137.19 (![X982]: 136.19/137.19 (in( 136.19/137.19 X982,X979) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X982,X981), 136.19/137.19 breln1invset( 136.19/137.19 X979,X980)) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X981,X982), 136.19/137.19 X980)))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X983, 136.19/137.19 X984]: 136.19/137.19 (breln1( 136.19/137.19 X983,X984) => 136.19/137.19 (![X985]: 136.19/137.19 (breln1( 136.19/137.19 X983,X985) => 136.19/137.19 breln1( 136.19/137.19 X983, 136.19/137.19 breln1compset( 136.19/137.19 X983, 136.19/137.19 X984,X985)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X986, 136.19/137.19 X987]: 136.19/137.19 (breln1( 136.19/137.19 X986,X987) => 136.19/137.19 (![X988]: 136.19/137.19 (breln1( 136.19/137.19 X986,X988) => 136.19/137.19 (![X989]: 136.19/137.19 (in( 136.19/137.19 X989,X986) => 136.19/137.19 (![X990]: 136.19/137.19 (in( 136.19/137.19 X990,X986) => 136.19/137.19 (![X991]: 136.19/137.19 (in( 136.19/137.19 X991,X986) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X989,X991), 136.19/137.19 X987) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X991,X990), 136.19/137.19 X988) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X989,X990), 136.19/137.19 breln1compset( 136.19/137.19 X986, 136.19/137.19 X987,X988)))))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X992, 136.19/137.19 X993]: 136.19/137.19 (breln1( 136.19/137.19 X992,X993) => 136.19/137.19 (![X994]: 136.19/137.19 (breln1( 136.19/137.19 X992,X994) => 136.19/137.19 (![X995]: 136.19/137.19 (in( 136.19/137.19 X995,X992) => 136.19/137.19 (![X996]: 136.19/137.19 (in( 136.19/137.19 X996,X992) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X995,X996), 136.19/137.19 breln1compset( 136.19/137.19 X992, 136.19/137.19 X993,X994)) => 136.19/137.19 (?[X997]: 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X997,X996), 136.19/137.19 X994) & 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X995,X997), 136.19/137.19 X993) & 136.19/137.19 in( 136.19/137.19 X997,X992)))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X998, 136.19/137.19 X999]: 136.19/137.19 (breln1( 136.19/137.19 X998,X999) => 136.19/137.19 (![X1000]: 136.19/137.19 (breln1( 136.19/137.19 X998, 136.19/137.19 X1000) => 136.19/137.19 (![X1001]: 136.19/137.19 (in( 136.19/137.19 X1001, 136.19/137.19 X998) => 136.19/137.19 (![X1002]: 136.19/137.19 (in( 136.19/137.19 X1002, 136.19/137.19 X998) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X1001, 136.19/137.19 X1002), 136.19/137.19 breln1compset( 136.19/137.19 X998, 136.19/137.19 X999, 136.19/137.19 X1000)) => 136.19/137.19 (![X1003:$o]: 136.19/137.19 (( 136.19/137.19 ![X1004]: 136.19/137.19 (in( 136.19/137.19 X1004, 136.19/137.19 X998) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X1001, 136.19/137.19 X1004), 136.19/137.19 X999) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X1004, 136.19/137.19 X1002), 136.19/137.19 X1000) => 136.19/137.19 X1003)))) => 136.19/137.19 X1003))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X1005, 136.19/137.19 X1006]: 136.19/137.19 (breln1( 136.19/137.19 X1005, 136.19/137.19 X1006) => 136.19/137.19 (![X1007]: 136.19/137.19 (breln1( 136.19/137.19 X1005, 136.19/137.19 X1007) => 136.19/137.19 breln1( 136.19/137.19 X1005, 136.19/137.19 binunion( 136.19/137.19 X1006, 136.19/137.19 X1007)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X1008, 136.19/137.19 X1009]: 136.19/137.19 (breln1( 136.19/137.19 X1008, 136.19/137.19 X1009) => 136.19/137.19 (![X1010]: 136.19/137.19 (breln1( 136.19/137.19 X1008, 136.19/137.19 X1010) => 136.19/137.19 (![X1011]: 136.19/137.19 (in( 136.19/137.19 X1011, 136.19/137.19 X1008) => 136.19/137.19 (![X1012]: 136.19/137.19 (in( 136.19/137.19 X1012, 136.19/137.19 X1008) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X1011, 136.19/137.19 X1012), 136.19/137.19 X1009) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X1011, 136.19/137.19 X1012), 136.19/137.19 binunion( 136.19/137.19 X1009, 136.19/137.19 X1010))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X1013, 136.19/137.19 X1014]: 136.19/137.19 (breln1( 136.19/137.19 X1013, 136.19/137.19 X1014) => 136.19/137.19 (![X1015]: 136.19/137.19 (breln1( 136.19/137.19 X1013, 136.19/137.19 X1015) => 136.19/137.19 (![X1016]: 136.19/137.19 (in( 136.19/137.19 X1016, 136.19/137.19 X1013) => 136.19/137.19 (![X1017]: 136.19/137.19 (in( 136.19/137.19 X1017, 136.19/137.19 X1013) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X1016, 136.19/137.19 X1017), 136.19/137.19 X1015) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X1016, 136.19/137.19 X1017), 136.19/137.19 binunion( 136.19/137.19 X1014, 136.19/137.19 X1015))))))))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X1018, 136.19/137.19 X1019]: 136.19/137.19 (breln1( 136.19/137.19 X1018, 136.19/137.19 X1019) => 136.19/137.19 (![X1020]: 136.19/137.19 (breln1( 136.19/137.19 X1018, 136.19/137.19 X1020) => 136.19/137.19 (![X1021]: 136.19/137.19 (in( 136.19/137.19 X1021, 136.19/137.19 X1018) => 136.19/137.19 (![X1022]: 136.19/137.19 (in( 136.19/137.19 X1022, 136.19/137.19 X1018) => 136.19/137.19 (( 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X1021, 136.19/137.19 X1022), 136.19/137.19 X1020) | 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X1021, 136.19/137.19 X1022), 136.19/137.19 X1019)) => 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X1021, 136.19/137.19 X1022), 136.19/137.19 binunion( 136.19/137.19 X1019, 136.19/137.19 X1020))))))))))) => 136.19/137.19 ( 136.19/137.19 ![X1023, 136.19/137.19 X1024]: 136.19/137.19 (breln1( 136.19/137.19 X1023, 136.19/137.19 X1024) => 136.19/137.19 (![X1025]: 136.19/137.19 (breln1( 136.19/137.19 X1023, 136.19/137.19 X1025) => 136.19/137.19 (![X1026]: 136.19/137.19 (in( 136.19/137.19 X1026, 136.19/137.19 X1023) => 136.19/137.19 (![X1027]: 136.19/137.19 (in( 136.19/137.19 X1027, 136.19/137.19 X1023) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X1026, 136.19/137.19 X1027), 136.19/137.19 binunion( 136.19/137.19 X1024, 136.19/137.19 X1025)) => 136.19/137.19 (in( 136.19/137.19 kpair( 136.19/137.19 X1026, 136.19/137.19 X1027), 136.19/137.19 X1024) | 136.19/137.19 in( 136.19/137.19 kpair( 136.19/137.19 X1026, 136.19/137.19 X1027), 136.19/137.19 X1025)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 136.19/137.19 tff(zf_stmt_14, negated_conjecture, 136.19/137.19 (~ 136.19/137.19 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 136.19/137.19 ((![X5]: (~in(X5,emptyset))) => 136.19/137.19 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 136.19/137.19 ((![X9,X10]: 136.19/137.19 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 136.19/137.19 ((![X12,X13]: 136.19/137.19 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 136.19/137.19 (in(emptyset,omega) => 136.19/137.19 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 136.19/137.19 ((![X16]: 136.19/137.19 (((![X17]: 136.19/137.19 ((in(X17,X16) & in(X17,omega)) => 136.19/137.19 in(setadjoin(X17,X17),X16))) & 136.19/137.19 in(emptyset,X16)) => 136.19/137.19 (![X18]: (in(X18,omega) => in(X18,X16))))) => 136.19/137.19 ((![X19:(($i * $i) > $o),X20]: 136.19/137.19 ((![X21]: 136.19/137.19 (in(X21,X20) => 136.19/137.19 (?[X22]: 136.19/137.19 ((![X23]: (X19(X21,X23) => (X22 = X23))) & 136.19/137.19 X19(X21,X22))))) => 136.19/137.19 (?[X24]: 136.19/137.19 (![X25]: 136.19/137.19 (in(X25,X24) <=> 136.19/137.19 (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 136.19/137.19 ((![X27]: 136.19/137.19 ((?[X28]: in(X28,X27)) => 136.19/137.19 (?[X29]: 136.19/137.19 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 136.19/137.19 ((![X31]: 136.19/137.19 (?[X32]: 136.19/137.19 ((![X33]: 136.19/137.19 (((?[X34]: in(X34,X33)) & 136.19/137.19 (![X35]: (in(X35,X33) => in(X35,X31)))) => 136.19/137.19 (?[X36,X37]: 136.19/137.19 ((![X38]: 136.19/137.19 (in(X38,X32) => 136.19/137.19 (in(X37,X38) | 136.19/137.19 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 136.19/137.19 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 136.19/137.19 in(X37,X33) & in(X36,X32))))) & 136.19/137.19 (![X41,X42]: 136.19/137.19 ((in(X42,X32) & in(X41,X32)) => 136.19/137.19 ((![X43]: (in(X43,X42) => in(X43,X41))) | 136.19/137.19 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 136.19/137.19 (![X45,X46]: 136.19/137.19 ((in(X46,X31) & in(X45,X31)) => 136.19/137.19 ((![X47]: 136.19/137.19 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 136.19/137.19 (X45 = X46)))) & 136.19/137.19 (![X48]: 136.19/137.19 (in(X48,X32) => 136.19/137.19 (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 136.19/137.19 ((![X50:($i > $o)]: 136.19/137.19 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 136.19/137.19 X50(descr(^[V_1]: X50(V_1))))) => 136.19/137.19 ((![X53,X54:($i > $o),X55]: 136.19/137.19 (in(X55,X53) => 136.19/137.19 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 136.19/137.19 ((![X56,X57:($i > $o),X58]: 136.19/137.19 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 136.19/137.19 ((![X59,X60:($i > $o),X61]: 136.19/137.19 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 136.19/137.19 ((![X62:($i > $o)]: 136.19/137.19 ((?[X63]: 136.19/137.19 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 136.19/137.19 (?[X65]: 136.19/137.19 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 136.19/137.19 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 136.19/137.19 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 136.19/137.19 ((![X71]: (in(X71,emptyset) => $false)) => 136.19/137.19 ((![X72]: (~in(X72,emptyset))) => 136.19/137.19 ((![X73:($i > $o)]: 136.19/137.19 ((?[X74]: 136.19/137.19 ((![X75]: (X73(X75) => (X74 = X75))) & 136.19/137.19 X73(X74))) => 136.19/137.19 (?[X76]: X73(X76)))) => 136.19/137.19 ((![X77,X78]: 136.19/137.19 ((![X79]: (in(X79,X77) => in(X79,X78))) => 136.19/137.19 ((![X80]: (in(X80,X78) => in(X80,X77))) => 136.19/137.19 (X77 = X78)))) => 136.19/137.19 ((![X81]: 136.19/137.19 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 136.19/137.19 ((![X83]: 136.19/137.19 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 136.19/137.19 ((![X85,X86:($i > $o),X87]: 136.19/137.19 (in(X87,X85) => 136.19/137.19 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 136.19/137.19 X86(X87)))) => 136.19/137.19 ((![X88]: 136.19/137.19 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 136.19/137.19 ((![X90,X91:($i > $o),X92]: 136.19/137.19 (in(X92,X90) => 136.19/137.19 (X91(X92) => 136.19/137.19 (dsetconstr(X90,^[V_6]: X91(V_6)) != 136.19/137.19 emptyset)))) => 136.19/137.19 ((![X93]: 136.19/137.19 ((?[X94]: in(X94,X93)) => 136.19/137.19 (X93 != emptyset))) => 136.19/137.19 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 136.19/137.19 (in(emptyset,setadjoin(emptyset,emptyset)) => 136.19/137.19 ((![X97,X98,X99]: 136.19/137.19 (in(X99,X98) => 136.19/137.19 in(X99,setadjoin(X97,X98)))) => 136.19/137.19 ((![X100,X101,X102]: 136.19/137.19 (in(X102,setadjoin(X100,X101)) => 136.19/137.19 (![X103:$o]: 136.19/137.19 (((X102 = X100) => X103) => 136.19/137.19 ((in(X102,X101) => X103) => X103))))) => 136.19/137.19 ((![X104,X105,X106]: 136.19/137.19 (in(X106,setadjoin(X104,X105)) => 136.19/137.19 (in(X106,X105) | (X106 = X104)))) => 136.19/137.19 ((![X107]: 136.19/137.19 (dsetconstr(X107,^[V_7]: $true) = 136.19/137.19 X107)) => 136.19/137.19 ((![X108,X109]: 136.19/137.19 ((![X110]: 136.19/137.19 (in(X110,X109) => in(X110,X108))) => 136.19/137.19 in(X109,powerset(X108)))) => 136.19/137.19 ((![X111]: in(emptyset,powerset(X111))) => 136.19/137.19 ((![X112]: 136.19/137.19 in(emptyset,powerset(X112))) => 136.19/137.19 ((![X113,X114,X115]: 136.19/137.19 (in(X114,powerset(X113)) => 136.19/137.19 (in(X115,X114) => in(X115,X113)))) => 136.19/137.19 ((![X116,X117,X118]: 136.19/137.19 (in(X117,X118) => 136.19/137.19 (in(X118,X116) => 136.19/137.19 in(X117,setunion(X116))))) => 136.19/137.19 ((![X119,X120]: 136.19/137.19 (in(X120,setunion(X119)) => 136.19/137.19 (![X121:$o]: 136.19/137.19 ((![X122]: 136.19/137.19 (in(X120,X122) => 136.19/137.19 (in(X122,X119) => 136.19/137.19 X121))) => 136.19/137.19 X121)))) => 136.19/137.19 ((![X123,X124]: 136.19/137.19 (in(X124,X123) => 136.19/137.19 in(X124, 136.19/137.19 powerset(setunion(X123))))) => 136.19/137.19 ((![X125:($i > $o)]: 136.19/137.19 ((?[X126]: 136.19/137.19 ((![X127]: 136.19/137.19 (X125(X127) => 136.19/137.19 (X126 = X127))) & 136.19/137.19 X125(X126))) => 136.19/137.19 (?[X128]: 136.19/137.19 (![X129]: 136.19/137.19 (X125(X129) <=> 136.19/137.19 (X129 = X128)))))) => 136.19/137.19 ((![X130]: 136.19/137.19 ((X130 != emptyset) => 136.19/137.19 (?[X131]: in(X131,X130)))) => 136.19/137.19 ((![X132,X133]: 136.19/137.19 (in(X132, 136.19/137.19 setadjoin(X133, 136.19/137.19 emptyset)) => 136.19/137.19 (X132 = X133))) => 136.19/137.19 ((![X134,X135]: 136.19/137.19 ((X134 != X135) => 136.19/137.19 (~ 136.19/137.19 in(X135, 136.19/137.19 setadjoin(X134, 136.19/137.19 emptyset))))) => 136.19/137.19 ((![X136,X137]: 136.19/137.19 ((X136 = X137) => 136.19/137.19 in(X136, 136.19/137.19 setadjoin(X137, 136.19/137.19 emptyset)))) => 136.19/137.19 ((![X138,X139]: 136.19/137.19 (in(X138, 136.19/137.19 setadjoin(X139, 136.19/137.19 emptyset)) => 136.19/137.19 in(X139, 136.19/137.19 setadjoin(X138, 136.19/137.19 emptyset)))) => 136.19/137.19 ((![X140,X141,X142]: 136.19/137.19 (in(X142, 136.19/137.19 setadjoin( 136.19/137.19 X140, 136.19/137.19 setadjoin( 136.19/137.19 X141,emptyset))) => 136.19/137.19 ((X142 = X141) | 136.19/137.19 (X142 = X140)))) => 136.19/137.19 ((![X143,X144]: 136.19/137.19 in(X143, 136.19/137.19 setadjoin( 136.19/137.19 X143, 136.19/137.19 setadjoin( 136.19/137.19 X144,emptyset)))) => 136.19/137.19 ((![X145,X146]: 136.19/137.19 in(X146, 136.19/137.19 setadjoin( 136.19/137.19 X145, 136.19/137.19 setadjoin( 136.19/137.19 X146,emptyset)))) => 136.19/137.19 ((![X147,X148:($i > $o)]: 136.19/137.19 ((?[X149]: 136.19/137.19 (X148(X149) & 136.19/137.19 in(X149,X147))) => 136.19/137.19 ((dsetconstr( 136.19/137.19 X147, 136.19/137.19 ^[V_8]: 136.19/137.19 X148(V_8)) = 136.19/137.19 emptyset) => 136.19/137.19 $false))) => 136.19/137.19 ((![X150:($i > $o), 136.19/137.19 X151]: 136.19/137.19 (in(X151,emptyset) => 136.19/137.19 X150(X151))) => 136.19/137.19 ((![X152, 136.19/137.19 X153:($i > $o)]: 136.19/137.19 ((~ 136.19/137.19 (![X154]: 136.19/137.19 (in( 136.19/137.19 X154,X152) => 136.19/137.19 X153(X154)))) => 136.19/137.19 (?[X155]: 136.19/137.19 ((~X153(X155)) & 136.19/137.19 in(X155,X152))))) => 136.19/137.19 ((![X156, 136.19/137.19 X157:($i > $o)]: 136.19/137.19 ((![X158]: 136.19/137.19 (in( 136.19/137.19 X158,X156) => 136.19/137.19 (~ 136.19/137.19 X157( 136.19/137.19 X158)))) => 136.19/137.19 (~ 136.19/137.19 (?[X159]: 136.19/137.19 (X157( 136.19/137.19 X159) & 136.19/137.19 in( 136.19/137.19 X159,X156)))))) => 136.19/137.19 ((![X160, 136.19/137.19 X161:($i > $o)]: 136.19/137.19 ((~ 136.19/137.19 (?[X162]: 136.19/137.19 ( 136.19/137.19 X161( 136.19/137.19 X162) & 136.19/137.19 in( 136.19/137.19 X162,X160)))) => 136.19/137.19 (![X163]: 136.19/137.19 (in( 136.19/137.19 X163,X160) => 136.19/137.19 (~ 136.19/137.19 X161( 136.19/137.19 X163)))))) => 136.19/137.19 ((![X164, 136.19/137.19 X165:( 136.19/137.19 $i > $o)]: 136.19/137.19 ((?[X166]: 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 X165( 136.19/137.19 X166)) & 136.19/137.19 in( 136.19/137.19 X166,X164))) => 136.19/137.19 (~ 136.19/137.19 (![X167]: 136.19/137.19 (in( 136.19/137.19 X167,X164) => 136.19/137.19 X165( 136.19/137.19 X167)))))) => 136.19/137.19 ((![X168:$o]: 136.19/137.19 (X168 => 136.19/137.19 in(emptyset, 136.19/137.19 prop2set( 136.19/137.19 X168)))) => 136.19/137.19 ((![X169:$o]: 136.19/137.19 (X169 => 136.19/137.19 set2prop( 136.19/137.19 prop2set( 136.19/137.19 X169)))) => 136.19/137.19 ((![X170, 136.19/137.19 X171:( 136.19/137.19 $i > $o)]: 136.19/137.19 ((~ 136.19/137.19 ( 136.19/137.19 ?[X172]: 136.19/137.19 (X171( 136.19/137.19 X172) & 136.19/137.19 in( 136.19/137.19 X172,X170)))) => 136.19/137.19 (![X173]: 136.19/137.19 (in( 136.19/137.19 X173,X170) => 136.19/137.19 (~ 136.19/137.19 X171( 136.19/137.19 X173)))))) => 136.19/137.19 ((![X174, 136.19/137.19 X175:( 136.19/137.19 $i > $o)]: 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 ( 136.19/137.19 ![X176]: 136.19/137.19 (in( 136.19/137.19 X176,X174) => 136.19/137.19 X175( 136.19/137.19 X176)))) => 136.19/137.19 ( 136.19/137.19 ?[X177]: 136.19/137.19 (( 136.19/137.19 ~ 136.19/137.19 X175( 136.19/137.19 X177)) & 136.19/137.19 in( 136.19/137.19 X177,X174))))) => 136.19/137.19 ((![X178:( 136.19/137.19 $i > $o)]: 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ?[X179]: 136.19/137.19 (( 136.19/137.19 ![X180]: 136.19/137.19 (X178( 136.19/137.19 X180) => 136.19/137.19 (X179 = 136.19/137.19 X180))) & 136.19/137.19 X178( 136.19/137.19 X179))) => 136.19/137.19 ( 136.19/137.19 ?[X181]: 136.19/137.19 (( 136.19/137.19 ![X182]: 136.19/137.19 (X178( 136.19/137.19 X182) => 136.19/137.19 (X181 = 136.19/137.19 X182))) & 136.19/137.19 X178( 136.19/137.19 X181))))) => 136.19/137.19 ((![X183:( 136.19/137.19 $i > $o)]: 136.19/137.19 (( 136.19/137.19 ?[X184]: 136.19/137.19 X183( 136.19/137.19 X184)) => 136.19/137.19 (( 136.19/137.19 ![X185, 136.19/137.19 X186]: 136.19/137.19 (X183( 136.19/137.19 X185) => 136.19/137.19 (X183( 136.19/137.19 X186) => 136.19/137.19 (X185 = 136.19/137.19 X186)))) => 136.19/137.19 (?[X187]: 136.19/137.19 (( 136.19/137.19 ![X188]: 136.19/137.19 (X183( 136.19/137.19 X188) => 136.19/137.19 (X187 = 136.19/137.19 X188))) & 136.19/137.19 X183( 136.19/137.19 X187)))))) => 136.19/137.19 ((![X189:( 136.19/137.19 $i > $o)]: 136.19/137.19 (( 136.19/137.19 ?[X190]: 136.19/137.19 (![X191]: 136.19/137.19 (X189( 136.19/137.19 X191) <=> 136.19/137.19 (X191 = 136.19/137.19 X190)))) => 136.19/137.19 (?[X192]: 136.19/137.19 (( 136.19/137.19 ![X193]: 136.19/137.19 (X189( 136.19/137.19 X193) => 136.19/137.19 (X192 = 136.19/137.19 X193))) & 136.19/137.19 X189( 136.19/137.19 X192))))) => 136.19/137.19 (( 136.19/137.19 ![X194, 136.19/137.19 X195]: 136.19/137.19 (( 136.19/137.19 X194 = 136.19/137.19 X195) => 136.19/137.19 (![X196, 136.19/137.19 X197]: 136.19/137.19 (( 136.19/137.19 X196 = 136.19/137.19 X197) => 136.19/137.19 (in( 136.19/137.19 X196,X194) => 136.19/137.19 in( 136.19/137.19 X197,X195)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X198, 136.19/137.19 X199]: 136.19/137.19 (( 136.19/137.19 X198 = 136.19/137.19 X199) => 136.19/137.19 (![X200, 136.19/137.19 X201]: 136.19/137.19 (( 136.19/137.19 X200 = 136.19/137.19 X201) => 136.19/137.19 (in( 136.19/137.19 X200,X198) <=> 136.19/137.19 in( 136.19/137.19 X201,X199)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X202:( 136.19/137.19 $i > $o)]: 136.19/137.19 (( 136.19/137.19 ?[X203]: 136.19/137.19 (( 136.19/137.19 ![X204]: 136.19/137.19 (X202( 136.19/137.19 X204) => 136.19/137.19 (X203 = 136.19/137.19 X204))) & 136.19/137.19 X202( 136.19/137.19 X203))) => 136.19/137.19 (![X205, 136.19/137.19 X206]: 136.19/137.19 (X202( 136.19/137.19 X205) => 136.19/137.19 (X202( 136.19/137.19 X206) => 136.19/137.19 (X205 = 136.19/137.19 X206)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X207:( 136.19/137.19 $i > $o), 136.19/137.19 X208:( 136.19/137.19 $i > $o)]: 136.19/137.19 (( 136.19/137.19 ![X209, 136.19/137.19 X210]: 136.19/137.19 (( 136.19/137.19 X209 = 136.19/137.19 X210) => 136.19/137.19 (X207( 136.19/137.19 X209) <=> 136.19/137.19 X208( 136.19/137.19 X210)))) => 136.19/137.19 (( 136.19/137.19 ?[X211]: 136.19/137.19 zip_tseitin5( 136.19/137.19 X211,X207)) <=> 136.19/137.19 (?[X213]: 136.19/137.19 zip_tseitin5( 136.19/137.19 X213,X208))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 emptyset = 136.19/137.19 emptyset) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X215, 136.19/137.19 X216]: 136.19/137.19 (( 136.19/137.19 X215 = 136.19/137.19 X216) => 136.19/137.19 (![X217, 136.19/137.19 X218]: 136.19/137.19 (( 136.19/137.19 X217 = 136.19/137.19 X218) => 136.19/137.19 (setadjoin( 136.19/137.19 X215,X217) = 136.19/137.19 setadjoin( 136.19/137.19 X216,X218)))))) => 136.19/137.19 ( 136.19/137.19 ( 136.19/137.19 ![X219, 136.19/137.19 X220]: 136.19/137.19 (( 136.19/137.19 X219 = 136.19/137.19 X220) => 136.19/137.19 (powerset( 136.19/137.19 X219) = 136.19/137.20 powerset( 136.19/137.20 X220)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X221, 136.19/137.20 X222]: 136.19/137.20 (( 136.19/137.20 X221 = 136.19/137.20 X222) => 136.19/137.20 (setunion( 136.19/137.20 X221) = 136.19/137.20 setunion( 136.19/137.20 X222)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 omega = 136.19/137.20 omega) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X223:( 136.19/137.20 $i > $o)]: 136.19/137.20 (( 136.19/137.20 ?[X224]: 136.19/137.20 (( 136.19/137.20 ![X225]: 136.19/137.20 (X223( 136.19/137.20 X225) => 136.19/137.20 (X224 = 136.19/137.20 X225))) & 136.19/137.20 X223( 136.19/137.20 X224))) => 136.19/137.20 (![X226, 136.19/137.20 X227]: 136.19/137.20 (X223( 136.19/137.20 X226) => 136.19/137.20 (X223( 136.19/137.20 X227) => 136.19/137.20 (X226 = 136.19/137.20 X227)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X228:( 136.19/137.20 $i > $o), 136.19/137.20 X229:( 136.19/137.20 $i > $o)]: 136.19/137.20 (( 136.19/137.20 ![X230, 136.19/137.20 X231]: 136.19/137.20 (( 136.19/137.20 X230 = 136.19/137.20 X231) => 136.19/137.20 (X228( 136.19/137.20 X230) <=> 136.19/137.20 X229( 136.19/137.20 X231)))) => 136.19/137.20 (( 136.19/137.20 ?[X232]: 136.19/137.20 (( 136.19/137.20 ![X233]: 136.19/137.20 (X228( 136.19/137.20 X233) => 136.19/137.20 (X232 = 136.19/137.20 X233))) & 136.19/137.20 X228( 136.19/137.20 X232))) => 136.19/137.20 (( 136.19/137.20 ?[X234]: 136.19/137.20 (( 136.19/137.20 ![X235]: 136.19/137.20 (X229( 136.19/137.20 X235) => 136.19/137.20 (X234 = 136.19/137.20 X235))) & 136.19/137.20 X229( 136.19/137.20 X234))) => 136.19/137.20 (descr( 136.19/137.20 ^[V_9]: 136.19/137.20 X228(V_9)) = 136.19/137.20 descr( 136.19/137.20 ^[V_10]: 136.19/137.20 X229( 136.19/137.20 V_10))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X236, 136.19/137.20 X237]: 136.19/137.20 (( 136.19/137.20 X236 = 136.19/137.20 X237) => 136.19/137.20 (![X238:( 136.19/137.20 $i > $o), 136.19/137.20 X239:( 136.19/137.20 $i > $o)]: 136.19/137.20 (( 136.19/137.20 ![X240]: 136.19/137.20 (in( 136.19/137.20 X240,X236) => 136.19/137.20 (![X241]: 136.19/137.20 (in( 136.19/137.20 X241,X237) => 136.19/137.20 (( 136.19/137.20 X240 = 136.19/137.20 X241) => 136.19/137.20 (X238( 136.19/137.20 X240) <=> 136.19/137.20 X239( 136.19/137.20 X241))))))) => 136.19/137.20 (dsetconstr( 136.19/137.20 X236, 136.19/137.20 ^[V_11]: 136.19/137.20 X238( 136.19/137.20 V_11)) = 136.19/137.20 dsetconstr( 136.19/137.20 X237, 136.19/137.20 ^[V_12]: 136.19/137.20 X239( 136.19/137.20 V_12))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X242, 136.19/137.20 X243]: 136.19/137.20 (( 136.19/137.20 ![X244]: 136.19/137.20 (in( 136.19/137.20 X244,X242) => 136.19/137.20 in( 136.19/137.20 X244,X243))) => 136.19/137.20 subset( 136.19/137.20 X242,X243))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X245, 136.19/137.20 X246]: 136.19/137.20 (( 136.19/137.20 X245 = 136.19/137.20 X246) => 136.19/137.20 subset( 136.19/137.20 X246,X245))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X247, 136.19/137.20 X248]: 136.19/137.20 (( 136.19/137.20 X247 = 136.19/137.20 X248) => 136.19/137.20 subset( 136.19/137.20 X247,X248))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X249, 136.19/137.20 X250]: 136.19/137.20 (( 136.19/137.20 ![X251]: 136.19/137.20 (in( 136.19/137.20 X251,X249) => 136.19/137.20 in( 136.19/137.20 X251,X250))) => 136.19/137.20 subset( 136.19/137.20 X249,X250))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X252]: 136.19/137.20 subset( 136.19/137.20 emptyset, 136.19/137.20 X252)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X253, 136.19/137.20 X254,X255]: 136.19/137.20 (subset( 136.19/137.20 X253,X254) => 136.19/137.20 (in( 136.19/137.20 X255,X253) => 136.19/137.20 in( 136.19/137.20 X255,X254)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X256, 136.19/137.20 X257,X258]: 136.19/137.20 (subset( 136.19/137.20 X256,X257) => 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X258,X257)) => 136.19/137.20 (~ 136.19/137.20 in( 136.19/137.20 X258,X256))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X259, 136.19/137.20 X260,X261]: 136.19/137.20 (in( 136.19/137.20 X261,X259) => 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X261,X260)) => 136.19/137.20 (~ 136.19/137.20 subset( 136.19/137.20 X259,X260))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X262, 136.19/137.20 X263]: 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 subset( 136.19/137.20 X262,X263)) => 136.19/137.20 (X262 != 136.19/137.20 X263))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X264, 136.19/137.20 X265,X266]: 136.19/137.20 (in( 136.19/137.20 X266,X264) => 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X266,X265)) => 136.19/137.20 (X264 != 136.19/137.20 X265)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X267]: 136.19/137.20 subset( 136.19/137.20 X267,X267)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X268, 136.19/137.20 X269,X270]: 136.19/137.20 (subset( 136.19/137.20 X268,X269) => 136.19/137.20 (subset( 136.19/137.20 X269,X270) => 136.19/137.20 subset( 136.19/137.20 X268,X270)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X271, 136.19/137.20 X272]: 136.19/137.20 subset( 136.19/137.20 X272, 136.19/137.20 setadjoin( 136.19/137.20 X271,X272))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X273, 136.19/137.20 X274,X275]: 136.19/137.20 (subset( 136.19/137.20 X273,X275) => 136.19/137.20 subset( 136.19/137.20 X273, 136.19/137.20 setadjoin( 136.19/137.20 X274,X275)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X276, 136.19/137.20 X277]: 136.19/137.20 (subset( 136.19/137.20 X276,X277) => 136.19/137.20 in( 136.19/137.20 X276, 136.19/137.20 powerset( 136.19/137.20 X277)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X278, 136.19/137.20 X279]: 136.19/137.20 (subset( 136.19/137.20 X278,X279) => 136.19/137.20 (subset( 136.19/137.20 X279,X278) => 136.19/137.20 (X278 = 136.19/137.20 X279)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X280]: 136.19/137.20 (subset( 136.19/137.20 X280, 136.19/137.20 emptyset) => 136.19/137.20 (X280 = 136.19/137.20 emptyset))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X281, 136.19/137.20 X282]: 136.19/137.20 (subset( 136.19/137.20 X282,X281) => 136.19/137.20 in( 136.19/137.20 X282, 136.19/137.20 powerset( 136.19/137.20 X281)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X283, 136.19/137.20 X284]: 136.19/137.20 (in( 136.19/137.20 X284, 136.19/137.20 powerset( 136.19/137.20 X283)) => 136.19/137.20 subset( 136.19/137.20 X284,X283))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X285]: 136.19/137.20 in( 136.19/137.20 X285, 136.19/137.20 powerset( 136.19/137.20 X285))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X286, 136.19/137.20 X287]: 136.19/137.20 (subset( 136.19/137.20 X286,X287) => 136.19/137.20 subset( 136.19/137.20 powerset( 136.19/137.20 X286), 136.19/137.20 powerset( 136.19/137.20 X287)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X288, 136.19/137.20 X289:( 136.19/137.20 $i > $o)]: 136.19/137.20 in( 136.19/137.20 dsetconstr( 136.19/137.20 X288, 136.19/137.20 ^[V_13]: 136.19/137.20 X289( 136.19/137.20 V_13)), 136.19/137.20 powerset( 136.19/137.20 X288))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X290, 136.19/137.20 X291:( 136.19/137.20 $i > $o)]: 136.19/137.20 subset( 136.19/137.20 dsetconstr( 136.19/137.20 X290, 136.19/137.20 ^[V_14]: 136.19/137.20 X291( 136.19/137.20 V_14)), 136.19/137.20 X290)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X292, 136.19/137.20 X293,X294]: 136.19/137.20 (in( 136.19/137.20 X294,X292) => 136.19/137.20 in( 136.19/137.20 X294, 136.19/137.20 binunion( 136.19/137.20 X292,X293)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X295, 136.19/137.20 X296]: 136.19/137.20 in( 136.19/137.20 X296, 136.19/137.20 setadjoin( 136.19/137.20 X295, 136.19/137.20 setadjoin( 136.19/137.20 X296, 136.19/137.20 emptyset)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X297, 136.19/137.20 X298,X299]: 136.19/137.20 (in( 136.19/137.20 X299,X298) => 136.19/137.20 in( 136.19/137.20 X299, 136.19/137.20 binunion( 136.19/137.20 X297,X298)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X300, 136.19/137.20 X301, 136.19/137.20 X302, 136.19/137.20 X303:$o]: 136.19/137.20 (in( 136.19/137.20 X302, 136.19/137.20 binunion( 136.19/137.20 X300,X301)) => 136.19/137.20 (( 136.19/137.20 in( 136.19/137.20 X302,X300) => 136.19/137.20 X303) => 136.19/137.20 (( 136.19/137.20 in( 136.19/137.20 X302,X301) => 136.19/137.20 X303) => 136.19/137.20 X303)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X304, 136.19/137.20 X305,X306]: 136.19/137.20 (in( 136.19/137.20 X306, 136.19/137.20 binunion( 136.19/137.20 X304,X305)) => 136.19/137.20 (in( 136.19/137.20 X306,X305) | 136.19/137.20 in( 136.19/137.20 X306,X304)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X307, 136.19/137.20 X308]: 136.19/137.20 subset( 136.19/137.20 X307, 136.19/137.20 binunion( 136.19/137.20 X307,X308))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X309, 136.19/137.20 X310]: 136.19/137.20 subset( 136.19/137.20 X310, 136.19/137.20 binunion( 136.19/137.20 X309,X310))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X311, 136.19/137.20 X312,X313]: 136.19/137.20 (in( 136.19/137.20 X313,X311) => 136.19/137.20 (in( 136.19/137.20 X313,X312) => 136.19/137.20 in( 136.19/137.20 X313, 136.19/137.20 binintersect( 136.19/137.20 X311,X312))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X314, 136.19/137.20 X315,X316]: 136.19/137.20 (subset( 136.19/137.20 X316,X314) => 136.19/137.20 (subset( 136.19/137.20 X316,X315) => 136.19/137.20 subset( 136.19/137.20 X316, 136.19/137.20 binintersect( 136.19/137.20 X314,X315))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X317, 136.19/137.20 X318,X319]: 136.19/137.20 (in( 136.19/137.20 X319, 136.19/137.20 binintersect( 136.19/137.20 X317,X318)) => 136.19/137.20 in( 136.19/137.20 X319,X317))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X320, 136.19/137.20 X321]: 136.19/137.20 subset( 136.19/137.20 binintersect( 136.19/137.20 X320,X321), 136.19/137.20 X320)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X322, 136.19/137.20 X323]: 136.19/137.20 (subset( 136.19/137.20 X322,X323) => 136.19/137.20 (binintersect( 136.19/137.20 X322,X323) = 136.19/137.20 X322))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X324, 136.19/137.20 X325]: 136.19/137.20 (( 136.19/137.20 binintersect( 136.19/137.20 X324,X325) = 136.19/137.20 X325) => 136.19/137.20 subset( 136.19/137.20 X325,X324))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X326, 136.19/137.20 X327,X328]: 136.19/137.20 (in( 136.19/137.20 X328, 136.19/137.20 binintersect( 136.19/137.20 X326,X327)) => 136.19/137.20 in( 136.19/137.20 X328,X327))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X329, 136.19/137.20 X330]: 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 ( 136.19/137.20 ?[X331]: 136.19/137.20 (in( 136.19/137.20 X331,X330) & 136.19/137.20 in( 136.19/137.20 X331,X329)))) => 136.19/137.20 (binintersect( 136.19/137.20 X329,X330) = 136.19/137.20 emptyset))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X332, 136.19/137.20 X333]: 136.19/137.20 subset( 136.19/137.20 binintersect( 136.19/137.20 X332,X333), 136.19/137.20 X333)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X334, 136.19/137.20 X335]: 136.19/137.20 (subset( 136.19/137.20 X335,X334) => 136.19/137.20 (binintersect( 136.19/137.20 X334,X335) = 136.19/137.20 X335))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X336, 136.19/137.20 X337]: 136.19/137.20 (( 136.19/137.20 binintersect( 136.19/137.20 X336,X337) = 136.19/137.20 X336) => 136.19/137.20 subset( 136.19/137.20 X336,X337))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X338, 136.19/137.20 X339,X340]: 136.19/137.20 (binintersect( 136.19/137.20 X338, 136.19/137.20 binunion( 136.19/137.20 X339,X340)) = 136.19/137.20 binunion( 136.19/137.20 binintersect( 136.19/137.20 X338,X339), 136.19/137.20 binintersect( 136.19/137.20 X338,X340)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X341, 136.19/137.20 X342,X343]: 136.19/137.20 (in( 136.19/137.20 X343,X341) => 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X343,X342)) => 136.19/137.20 in( 136.19/137.20 X343, 136.19/137.20 setminus( 136.19/137.20 X341,X342))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X344, 136.19/137.20 X345,X346]: 136.19/137.20 (in( 136.19/137.20 X346, 136.19/137.20 setminus( 136.19/137.20 X344,X345)) => 136.19/137.20 in( 136.19/137.20 X346,X344))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X347, 136.19/137.20 X348,X349]: 136.19/137.20 (in( 136.19/137.20 X349, 136.19/137.20 setminus( 136.19/137.20 X347,X348)) => 136.19/137.20 (~ 136.19/137.20 in( 136.19/137.20 X349,X348)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X350, 136.19/137.20 X351]: 136.19/137.20 (subset( 136.19/137.20 X350,X351) => 136.19/137.20 (setminus( 136.19/137.20 X350,X351) = 136.19/137.20 emptyset))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X352, 136.19/137.20 X353,X354]: 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X354, 136.19/137.20 setminus( 136.19/137.20 X352,X353))) => 136.19/137.20 (in( 136.19/137.20 X354,X352) => 136.19/137.20 in( 136.19/137.20 X354,X353)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X355, 136.19/137.20 X356,X357]: 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X357, 136.19/137.20 setminus( 136.19/137.20 X355,X356))) => 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X357,X356)) => 136.19/137.20 (~ 136.19/137.20 in( 136.19/137.20 X357,X355))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X358, 136.19/137.20 X359,X360]: 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X360,X358)) => 136.19/137.20 (~ 136.19/137.20 in( 136.19/137.20 X360, 136.19/137.20 setminus( 136.19/137.20 X358,X359))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X361, 136.19/137.20 X362,X363]: 136.19/137.20 (in( 136.19/137.20 X363,X362) => 136.19/137.20 (~ 136.19/137.20 in( 136.19/137.20 X363, 136.19/137.20 setminus( 136.19/137.20 X361,X362))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X364, 136.19/137.20 X365]: 136.19/137.20 subset( 136.19/137.20 setminus( 136.19/137.20 X364,X365), 136.19/137.20 X364)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X366, 136.19/137.20 X367]: 136.19/137.20 (( 136.19/137.20 setminus( 136.19/137.20 X366,X367) = 136.19/137.20 emptyset) => 136.19/137.20 subset( 136.19/137.20 X366,X367))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X368, 136.19/137.20 X369,X370]: 136.19/137.20 (in( 136.19/137.20 X370, 136.19/137.20 symdiff( 136.19/137.20 X368,X369)) => 136.19/137.20 (![X371:$o]: 136.19/137.20 (( 136.19/137.20 in( 136.19/137.20 X370,X368) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X370,X369)) => 136.19/137.20 X371)) => 136.19/137.20 (( 136.19/137.20 ( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X370,X368)) => 136.19/137.20 ( 136.19/137.20 in( 136.19/137.20 X370,X369) => 136.19/137.20 X371)) => 136.19/137.20 X371))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X372, 136.19/137.20 X373,X374]: 136.19/137.20 (in( 136.19/137.20 X374,X372) => 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X374,X373)) => 136.19/137.20 in( 136.19/137.20 X374, 136.19/137.20 symdiff( 136.19/137.20 X372,X373))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X375, 136.19/137.20 X376,X377]: 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X377,X375)) => 136.19/137.20 (in( 136.19/137.20 X377,X376) => 136.19/137.20 in( 136.19/137.20 X377, 136.19/137.20 symdiff( 136.19/137.20 X375,X376))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X378, 136.19/137.20 X379,X380]: 136.19/137.20 (in( 136.19/137.20 X380,X378) => 136.19/137.20 (in( 136.19/137.20 X380,X379) => 136.19/137.20 (~ 136.19/137.20 in( 136.19/137.20 X380, 136.19/137.20 symdiff( 136.19/137.20 X378,X379)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X381, 136.19/137.20 X382,X383]: 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X383,X381)) => 136.19/137.20 (( 136.19/137.20 ~ 136.19/137.20 in( 136.19/137.20 X383,X382)) => 136.19/137.20 (~ 136.19/137.20 in( 136.19/137.20 X383, 136.19/137.20 symdiff( 136.19/137.20 X381,X382)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X384, 136.19/137.20 X385]: 136.19/137.20 in( 136.19/137.20 X385, 136.19/137.20 setadjoin( 136.19/137.20 X384, 136.19/137.20 setadjoin( 136.19/137.20 X385, 136.19/137.20 emptyset)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X386, 136.19/137.20 X387]: 136.19/137.20 in( 136.19/137.20 X386, 136.19/137.20 setunion( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X386, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X386, 136.19/137.20 setadjoin( 136.19/137.20 X387, 136.19/137.20 emptyset)), 136.19/137.20 emptyset))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X388, 136.19/137.20 X389]: 136.19/137.20 in( 136.19/137.20 X389, 136.19/137.20 setunion( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X388, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X388, 136.19/137.20 setadjoin( 136.19/137.20 X389, 136.19/137.20 emptyset)), 136.19/137.20 emptyset))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X390, 136.19/137.20 X391]: 136.19/137.20 iskpair( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X390, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X390, 136.19/137.20 setadjoin( 136.19/137.20 X391, 136.19/137.20 emptyset)), 136.19/137.20 emptyset)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X392, 136.19/137.20 X393]: 136.19/137.20 iskpair( 136.19/137.20 kpair( 136.19/137.20 X392,X393))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X394, 136.19/137.20 X395]: 136.19/137.20 (in( 136.19/137.20 X395,X394) => 136.19/137.20 subset( 136.19/137.20 setadjoin( 136.19/137.20 X395, 136.19/137.20 emptyset), 136.19/137.20 X394))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X396, 136.19/137.20 X397]: 136.19/137.20 (in( 136.19/137.20 X397,X396) => 136.19/137.20 in( 136.19/137.20 setadjoin( 136.19/137.20 X397, 136.19/137.20 emptyset), 136.19/137.20 powerset( 136.19/137.20 X396)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X398, 136.19/137.20 X399,X400]: 136.19/137.20 (in( 136.19/137.20 X400,X398) => 136.19/137.20 in( 136.19/137.20 setadjoin( 136.19/137.20 X400, 136.19/137.20 emptyset), 136.19/137.20 powerset( 136.19/137.20 binunion( 136.19/137.20 X398,X399))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X401, 136.19/137.20 X402,X403]: 136.19/137.20 (in( 136.19/137.20 X403, 136.19/137.20 setadjoin( 136.19/137.20 X401, 136.19/137.20 setadjoin( 136.19/137.20 X402, 136.19/137.20 emptyset))) => 136.19/137.20 (( 136.19/137.20 X403 = 136.19/137.20 X402) | 136.19/137.20 (X403 = 136.19/137.20 X401)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X404, 136.19/137.20 X405,X406]: 136.19/137.20 (in( 136.19/137.20 X406,X404) => 136.19/137.20 (![X407]: 136.19/137.20 (in( 136.19/137.20 X407,X405) => 136.19/137.20 subset( 136.19/137.20 setadjoin( 136.19/137.20 X406, 136.19/137.20 setadjoin( 136.19/137.20 X407, 136.19/137.20 emptyset)), 136.19/137.20 binunion( 136.19/137.20 X404,X405)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X408, 136.19/137.20 X409,X410]: 136.19/137.20 (in( 136.19/137.20 X410,X408) => 136.19/137.20 (![X411]: 136.19/137.20 (in( 136.19/137.20 X411,X409) => 136.19/137.20 in( 136.19/137.20 setadjoin( 136.19/137.20 X410, 136.19/137.20 setadjoin( 136.19/137.20 X411, 136.19/137.20 emptyset)), 136.19/137.20 powerset( 136.19/137.20 binunion( 136.19/137.20 X408,X409))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X412, 136.19/137.20 X413,X414]: 136.19/137.20 (in( 136.19/137.20 X414,X412) => 136.19/137.20 (![X415]: 136.19/137.20 (in( 136.19/137.20 X415,X413) => 136.19/137.20 subset( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X414, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X414, 136.19/137.20 setadjoin( 136.19/137.20 X415, 136.19/137.20 emptyset)), 136.19/137.20 emptyset)), 136.19/137.20 powerset( 136.19/137.20 binunion( 136.19/137.20 X412,X413))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X416, 136.19/137.20 X417,X418]: 136.19/137.20 (in( 136.19/137.20 X418,X416) => 136.19/137.20 (![X419]: 136.19/137.20 (in( 136.19/137.20 X419,X417) => 136.19/137.20 in( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X418, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X418, 136.19/137.20 setadjoin( 136.19/137.20 X419, 136.19/137.20 emptyset)), 136.19/137.20 emptyset)), 136.19/137.20 powerset( 136.19/137.20 powerset( 136.19/137.20 binunion( 136.19/137.20 X416,X417)))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X420, 136.19/137.20 X421,X422]: 136.19/137.20 (in( 136.19/137.20 X422,X420) => 136.19/137.20 (![X423]: 136.19/137.20 (in( 136.19/137.20 X423,X421) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X422,X423), 136.19/137.20 powerset( 136.19/137.20 powerset( 136.19/137.20 binunion( 136.19/137.20 X420,X421)))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X424, 136.19/137.20 X425,X426]: 136.19/137.20 (in( 136.19/137.20 X426,X424) => 136.19/137.20 (![X427]: 136.19/137.20 (in( 136.19/137.20 X427,X425) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X426,X427), 136.19/137.20 cartprod( 136.19/137.20 X424,X425)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X428, 136.19/137.20 X429,X430]: 136.19/137.20 (in( 136.19/137.20 X430, 136.19/137.20 cartprod( 136.19/137.20 X428,X429)) => 136.19/137.20 (?[X431]: 136.19/137.20 (( 136.19/137.20 ?[X432]: 136.19/137.20 (( 136.19/137.20 X430 = 136.19/137.20 kpair( 136.19/137.20 X431,X432)) & 136.19/137.20 in( 136.19/137.20 X432,X429))) & 136.19/137.20 in( 136.19/137.20 X431,X428))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X433, 136.19/137.20 X434,X435]: 136.19/137.20 (in( 136.19/137.20 X435, 136.19/137.20 cartprod( 136.19/137.20 X433,X434)) => 136.19/137.20 iskpair( 136.19/137.20 X435))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X436, 136.19/137.20 X437]: 136.19/137.20 (in( 136.19/137.20 X437, 136.19/137.20 setunion( 136.19/137.20 X436)) => 136.19/137.20 (?[X438]: 136.19/137.20 (in( 136.19/137.20 X437,X438) & 136.19/137.20 in( 136.19/137.20 X438,X436))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X439]: 136.19/137.20 subset( 136.19/137.20 setunion( 136.19/137.20 setadjoin( 136.19/137.20 X439, 136.19/137.20 emptyset)), 136.19/137.20 X439)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X440]: 136.19/137.20 subset( 136.19/137.20 X440, 136.19/137.20 setunion( 136.19/137.20 setadjoin( 136.19/137.20 X440, 136.19/137.20 emptyset)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X441]: 136.19/137.20 (setunion( 136.19/137.20 setadjoin( 136.19/137.20 X441, 136.19/137.20 emptyset)) = 136.19/137.20 X441)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X442, 136.19/137.20 X443:( 136.19/137.20 $i > $o)]: 136.19/137.20 (( 136.19/137.20 ![X444]: 136.19/137.20 (in( 136.19/137.20 X444,X442) => 136.19/137.20 (![X445]: 136.19/137.20 (in( 136.19/137.20 X445,X442) => 136.19/137.20 (X443( 136.19/137.20 X444) => 136.19/137.20 (X443( 136.19/137.20 X445) => 136.19/137.20 (X444 = 136.19/137.20 X445))))))) => 136.19/137.20 (( 136.19/137.20 ?[X446]: 136.19/137.20 (X443( 136.19/137.20 X446) & 136.19/137.20 in( 136.19/137.20 X446,X442))) => 136.19/137.20 singleton( 136.19/137.20 dsetconstr( 136.19/137.20 X442, 136.19/137.20 ^[V_15]: 136.19/137.20 X443( 136.19/137.20 V_15)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X447, 136.19/137.20 X448:( 136.19/137.20 $i > $o)]: 136.19/137.20 (ex1( 136.19/137.20 X447, 136.19/137.20 ^[V_16]: 136.19/137.20 X448( 136.19/137.20 V_16)) => 136.19/137.20 (?[X449]: 136.19/137.20 (X448( 136.19/137.20 X449) & 136.19/137.20 in( 136.19/137.20 X449,X447))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X450, 136.19/137.20 X451:( 136.19/137.20 $i > $o), 136.19/137.20 X452]: 136.19/137.20 (in( 136.19/137.20 X452,X450) => 136.19/137.20 (X451( 136.19/137.20 X452) => 136.19/137.20 (( 136.19/137.20 ![X453]: 136.19/137.20 (in( 136.19/137.20 X453,X450) => 136.19/137.20 (X451( 136.19/137.20 X453) => 136.19/137.20 (X453 = 136.19/137.20 X452)))) => 136.19/137.20 ex1( 136.19/137.20 X450, 136.19/137.20 ^[V_17]: 136.19/137.20 X451( 136.19/137.20 V_17)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X454, 136.19/137.20 X455:( 136.19/137.20 $i > $o)]: 136.19/137.20 (( 136.19/137.20 ![X456]: 136.19/137.20 (in( 136.19/137.20 X456,X454) => 136.19/137.20 (![X457]: 136.19/137.20 (in( 136.19/137.20 X457,X454) => 136.19/137.20 (X455( 136.19/137.20 X456) => 136.19/137.20 (X455( 136.19/137.20 X457) => 136.19/137.20 (X456 = 136.19/137.20 X457))))))) => 136.19/137.20 (( 136.19/137.20 ?[X458]: 136.19/137.20 (X455( 136.19/137.20 X458) & 136.19/137.20 in( 136.19/137.20 X458,X454))) => 136.19/137.20 ex1( 136.19/137.20 X454, 136.19/137.20 ^[V_18]: 136.19/137.20 X455( 136.19/137.20 V_18))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X459, 136.19/137.20 X460]: 136.19/137.20 (( 136.19/137.20 setadjoin( 136.19/137.20 X459, 136.19/137.20 emptyset) = 136.19/137.20 setadjoin( 136.19/137.20 X460, 136.19/137.20 emptyset)) => 136.19/137.20 (X459 = 136.19/137.20 X460))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X461, 136.19/137.20 X462,X463]: 136.19/137.20 (in( 136.19/137.20 setadjoin( 136.19/137.20 X463, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X461, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X461, 136.19/137.20 setadjoin( 136.19/137.20 X462, 136.19/137.20 emptyset)), 136.19/137.20 emptyset))) => 136.19/137.20 (X461 = 136.19/137.20 X463))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X464]: 136.19/137.20 (iskpair( 136.19/137.20 X464) => 136.19/137.20 singleton( 136.19/137.20 dsetconstr( 136.19/137.20 setunion( 136.19/137.20 X464), 136.19/137.20 ^[V_19]: 136.19/137.20 in( 136.19/137.20 setadjoin( 136.19/137.20 V_19, 136.19/137.20 emptyset), 136.19/137.20 X464))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X465]: 136.19/137.20 (singleton( 136.19/137.20 X465) => 136.19/137.20 in( 136.19/137.20 setunion( 136.19/137.20 X465), 136.19/137.20 X465))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X466, 136.19/137.20 X467]: 136.19/137.20 (kfst( 136.19/137.20 kpair( 136.19/137.20 X466,X467)) = 136.19/137.20 X466)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X468, 136.19/137.20 X469,X470]: 136.19/137.20 (in( 136.19/137.20 X470, 136.19/137.20 cartprod( 136.19/137.20 X468,X469)) => 136.19/137.20 in( 136.19/137.20 kfst( 136.19/137.20 X470), 136.19/137.20 X468))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X471, 136.19/137.20 X472, 136.19/137.20 X473,X474]: 136.19/137.20 (( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X471, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X471, 136.19/137.20 setadjoin( 136.19/137.20 X472, 136.19/137.20 emptyset)), 136.19/137.20 emptyset)) = 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X473, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X473, 136.19/137.20 setadjoin( 136.19/137.20 X474, 136.19/137.20 emptyset)), 136.19/137.20 emptyset))) => 136.19/137.20 (X471 = 136.19/137.20 X473))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X475, 136.19/137.20 X476, 136.19/137.20 X477,X478]: 136.19/137.20 (( 136.19/137.20 kpair( 136.19/137.20 X475,X476) = 136.19/137.20 kpair( 136.19/137.20 X477,X478)) => 136.19/137.20 (X475 = 136.19/137.20 X477))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X479, 136.19/137.20 X480]: 136.19/137.20 (( 136.19/137.20 X479 = 136.19/137.20 X480) => 136.19/137.20 (setadjoin( 136.19/137.20 X479, 136.19/137.20 setadjoin( 136.19/137.20 X480, 136.19/137.20 emptyset)) = 136.19/137.20 setadjoin( 136.19/137.20 X479, 136.19/137.20 emptyset)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X481, 136.19/137.20 X482]: 136.19/137.20 (( 136.19/137.20 X481 = 136.19/137.20 X482) => 136.19/137.20 (setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X481, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X481, 136.19/137.20 setadjoin( 136.19/137.20 X482, 136.19/137.20 emptyset)), 136.19/137.20 emptyset)) = 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X481, 136.19/137.20 emptyset), 136.19/137.20 emptyset)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X483, 136.19/137.20 X484, 136.19/137.20 X485,X486]: 136.19/137.20 (( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X483, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X483, 136.19/137.20 setadjoin( 136.19/137.20 X484, 136.19/137.20 emptyset)), 136.19/137.20 emptyset)) = 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X485, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X485, 136.19/137.20 setadjoin( 136.19/137.20 X486, 136.19/137.20 emptyset)), 136.19/137.20 emptyset))) => 136.19/137.20 (( 136.19/137.20 X485 = 136.19/137.20 X486) => 136.19/137.20 (X484 = 136.19/137.20 X486)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X487, 136.19/137.20 X488,X489]: 136.19/137.20 (( 136.19/137.20 setadjoin( 136.19/137.20 X487, 136.19/137.20 setadjoin( 136.19/137.20 X488, 136.19/137.20 emptyset)) = 136.19/137.20 setadjoin( 136.19/137.20 X489, 136.19/137.20 emptyset)) => 136.19/137.20 (X487 = 136.19/137.20 X488))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X490, 136.19/137.20 X491, 136.19/137.20 X492,X493]: 136.19/137.20 (( 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X490, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X490, 136.19/137.20 setadjoin( 136.19/137.20 X491, 136.19/137.20 emptyset)), 136.19/137.20 emptyset)) = 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X492, 136.19/137.20 emptyset), 136.19/137.20 setadjoin( 136.19/137.20 setadjoin( 136.19/137.20 X492, 136.19/137.20 setadjoin( 136.19/137.20 X493, 136.19/137.20 emptyset)), 136.19/137.20 emptyset))) => 136.19/137.20 (X491 = 136.19/137.20 X493))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X494, 136.19/137.20 X495, 136.19/137.20 X496,X497]: 136.19/137.20 (( 136.19/137.20 kpair( 136.19/137.20 X494,X495) = 136.19/137.20 kpair( 136.19/137.20 X496,X497)) => 136.19/137.20 (X495 = 136.19/137.20 X497))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X498]: 136.19/137.20 (iskpair( 136.19/137.20 X498) => 136.19/137.20 singleton( 136.19/137.20 dsetconstr( 136.19/137.20 setunion( 136.19/137.20 X498), 136.19/137.20 ^[V_20]: 136.19/137.20 (X498 = 136.19/137.20 kpair( 136.19/137.20 kfst( 136.19/137.20 X498), 136.19/137.20 V_20)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X499, 136.19/137.20 X500]: 136.19/137.20 (ksnd( 136.19/137.20 kpair( 136.19/137.20 X499,X500)) = 136.19/137.20 X500)) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X501]: 136.19/137.20 (iskpair( 136.19/137.20 X501) => 136.19/137.20 (kpair( 136.19/137.20 kfst( 136.19/137.20 X501), 136.19/137.20 ksnd( 136.19/137.20 X501)) = 136.19/137.20 X501))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X502, 136.19/137.20 X503,X504]: 136.19/137.20 (in( 136.19/137.20 X504, 136.19/137.20 cartprod( 136.19/137.20 X502,X503)) => 136.19/137.20 in( 136.19/137.20 ksnd( 136.19/137.20 X504), 136.19/137.20 X503))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X505, 136.19/137.20 X506, 136.19/137.20 X507,X508]: 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X507,X508), 136.19/137.20 cartprod( 136.19/137.20 X505,X506)) => 136.19/137.20 in( 136.19/137.20 X507,X505))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X509, 136.19/137.20 X510, 136.19/137.20 X511,X512]: 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X511,X512), 136.19/137.20 cartprod( 136.19/137.20 X509,X510)) => 136.19/137.20 in( 136.19/137.20 X512,X510))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X513, 136.19/137.20 X514,X515]: 136.19/137.20 (in( 136.19/137.20 X515,X513) => 136.19/137.20 (![X516]: 136.19/137.20 (in( 136.19/137.20 X516,X514) => 136.19/137.20 (kpair( 136.19/137.20 X515,X516) = 136.19/137.20 kpair( 136.19/137.20 X515,X516)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X517, 136.19/137.20 X518,X519]: 136.19/137.20 (in( 136.19/137.20 X519,X517) => 136.19/137.20 (![X520]: 136.19/137.20 (in( 136.19/137.20 X520,X518) => 136.19/137.20 (kfst( 136.19/137.20 kpair( 136.19/137.20 X519,X520)) = 136.19/137.20 X519))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X521, 136.19/137.20 X522,X523]: 136.19/137.20 (in( 136.19/137.20 X523,X521) => 136.19/137.20 (![X524]: 136.19/137.20 (in( 136.19/137.20 X524,X522) => 136.19/137.20 (ksnd( 136.19/137.20 kpair( 136.19/137.20 X523,X524)) = 136.19/137.20 X524))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X525, 136.19/137.20 X526,X527]: 136.19/137.20 (in( 136.19/137.20 X527, 136.19/137.20 cartprod( 136.19/137.20 X525,X526)) => 136.19/137.20 (kpair( 136.19/137.20 kfst( 136.19/137.20 X527), 136.19/137.20 ksnd( 136.19/137.20 X527)) = 136.19/137.20 X527))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X528, 136.19/137.20 X529, 136.19/137.20 X530:( 136.19/137.20 ($i * $i) > 136.19/137.20 $o),X531]: 136.19/137.20 (in( 136.19/137.20 X531,X528) => 136.19/137.20 (![X532]: 136.19/137.20 (in( 136.19/137.20 X532,X529) => 136.19/137.20 (X530( 136.19/137.20 X531,X532) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X531,X532), 136.19/137.20 dpsetconstr( 136.19/137.20 X528, 136.19/137.20 X529, 136.19/137.20 ^[V_21, 136.19/137.20 V_22]: 136.19/137.20 X530( 136.19/137.20 V_21,V_22)))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X533, 136.19/137.20 X534, 136.19/137.20 X535:( 136.19/137.20 ($i * $i) > 136.19/137.20 $o)]: 136.19/137.20 subset( 136.19/137.20 dpsetconstr( 136.19/137.20 X533, 136.19/137.20 X534, 136.19/137.20 ^[V_23, 136.19/137.20 V_24]: 136.19/137.20 X535( 136.19/137.20 V_23,V_24)), 136.19/137.20 cartprod( 136.19/137.20 X533,X534))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X536, 136.19/137.20 X537, 136.19/137.20 X538:( 136.19/137.20 ($i * $i) > 136.19/137.20 $o)]: 136.19/137.20 breln( 136.19/137.20 X536, 136.19/137.20 X537, 136.19/137.20 dpsetconstr( 136.19/137.20 X536, 136.19/137.20 X537, 136.19/137.20 ^[V_25, 136.19/137.20 V_26]: 136.19/137.20 X538( 136.19/137.20 V_25,V_26)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X539, 136.19/137.20 X540, 136.19/137.20 X541:( 136.19/137.20 ($i * $i) > 136.19/137.20 $o),X542]: 136.19/137.20 (in( 136.19/137.20 X542,X539) => 136.19/137.20 (![X543]: 136.19/137.20 (in( 136.19/137.20 X543,X540) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X542,X543), 136.19/137.20 dpsetconstr( 136.19/137.20 X539, 136.19/137.20 X540, 136.19/137.20 ^[V_27, 136.19/137.20 V_28]: 136.19/137.20 X541( 136.19/137.20 V_27,V_28))) => 136.19/137.20 X541( 136.19/137.20 X542,X543)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X544, 136.19/137.20 X545, 136.19/137.20 X546:( 136.19/137.20 ($i * $i) > 136.19/137.20 $o),X547, 136.19/137.20 X548]: 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X547,X548), 136.19/137.20 dpsetconstr( 136.19/137.20 X544, 136.19/137.20 X545, 136.19/137.20 ^[V_29, 136.19/137.20 V_30]: 136.19/137.20 X546( 136.19/137.20 V_29,V_30))) => 136.19/137.20 in( 136.19/137.20 X547,X544))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X549, 136.19/137.20 X550, 136.19/137.20 X551:( 136.19/137.20 ($i * $i) > 136.19/137.20 $o),X552, 136.19/137.20 X553]: 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X552,X553), 136.19/137.20 dpsetconstr( 136.19/137.20 X549, 136.19/137.20 X550, 136.19/137.20 ^[V_31, 136.19/137.20 V_32]: 136.19/137.20 X551( 136.19/137.20 V_31,V_32))) => 136.19/137.20 in( 136.19/137.20 X553,X550))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X554, 136.19/137.20 X555, 136.19/137.20 X556:( 136.19/137.20 ($i * $i) > 136.19/137.20 $o),X557, 136.19/137.20 X558]: 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X557,X558), 136.19/137.20 dpsetconstr( 136.19/137.20 X554, 136.19/137.20 X555, 136.19/137.20 ^[V_33, 136.19/137.20 V_34]: 136.19/137.20 X556( 136.19/137.20 V_33,V_34))) => 136.19/137.20 X556( 136.19/137.20 X557,X558))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X559, 136.19/137.20 X560,X561]: 136.19/137.20 (func( 136.19/137.20 X559, 136.19/137.20 X560,X561) => 136.19/137.20 (![X562]: 136.19/137.20 (in( 136.19/137.20 X562,X559) => 136.19/137.20 singleton( 136.19/137.20 dsetconstr( 136.19/137.20 X560, 136.19/137.20 ^[V_35]: 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X562,V_35), 136.19/137.20 X561))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X563, 136.19/137.20 X564,X565]: 136.19/137.20 (func( 136.19/137.20 X563, 136.19/137.20 X564,X565) => 136.19/137.20 (![X566]: 136.19/137.20 (in( 136.19/137.20 X566,X563) => 136.19/137.20 in( 136.19/137.20 setunion( 136.19/137.20 dsetconstr( 136.19/137.20 X564, 136.19/137.20 ^[V_36]: 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X566,V_36), 136.19/137.20 X565))), 136.19/137.20 X564))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X567, 136.19/137.20 X568,X569]: 136.19/137.20 (func( 136.19/137.20 X567, 136.19/137.20 X568,X569) => 136.19/137.20 (![X570]: 136.19/137.20 (in( 136.19/137.20 X570,X567) => 136.19/137.20 in( 136.19/137.20 ap( 136.19/137.20 X567, 136.19/137.20 X568, 136.19/137.20 X569,X570), 136.19/137.20 X568))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X571, 136.19/137.20 X572,X573]: 136.19/137.20 (in( 136.19/137.20 X573, 136.19/137.20 funcSet( 136.19/137.20 X571,X572)) => 136.19/137.20 func( 136.19/137.20 X571, 136.19/137.20 X572,X573))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X574, 136.19/137.20 X575,X576]: 136.19/137.20 (in( 136.19/137.20 X576, 136.19/137.20 funcSet( 136.19/137.20 X574,X575)) => 136.19/137.20 (![X577]: 136.19/137.20 (in( 136.19/137.20 X577,X574) => 136.19/137.20 in( 136.19/137.20 ap( 136.19/137.20 X574, 136.19/137.20 X575, 136.19/137.20 X576,X577), 136.19/137.20 X575))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X578, 136.19/137.20 X579,X580]: 136.19/137.20 (func( 136.19/137.20 X578, 136.19/137.20 X579,X580) => 136.19/137.20 in( 136.19/137.20 X580, 136.19/137.20 funcSet( 136.19/137.20 X578,X579)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X581, 136.19/137.20 X582, 136.19/137.20 X583:( 136.19/137.20 $i > $i)]: 136.19/137.20 (( 136.19/137.20 ![X584]: 136.19/137.20 (in( 136.19/137.20 X584,X581) => 136.19/137.20 in( 136.19/137.20 X583( 136.19/137.20 X584), 136.19/137.20 X582))) => 136.19/137.20 func( 136.19/137.20 X581, 136.19/137.20 X582, 136.19/137.20 dpsetconstr( 136.19/137.20 X581, 136.19/137.20 X582, 136.19/137.20 ^[V_37, 136.19/137.20 V_38]: 136.19/137.20 (X583( 136.19/137.20 V_37) = 136.19/137.20 V_38))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X585, 136.19/137.20 X586, 136.19/137.20 X587:( 136.19/137.20 $i > $i)]: 136.19/137.20 (( 136.19/137.20 ![X588]: 136.19/137.20 (in( 136.19/137.20 X588,X585) => 136.19/137.20 in( 136.19/137.20 X587( 136.19/137.20 X588), 136.19/137.20 X586))) => 136.19/137.20 func( 136.19/137.20 X585, 136.19/137.20 X586, 136.19/137.20 lam( 136.19/137.20 X585, 136.19/137.20 X586, 136.19/137.20 ^[V_39]: 136.19/137.20 X587( 136.19/137.20 V_39))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X589, 136.19/137.20 X590, 136.19/137.20 X591:( 136.19/137.20 $i > $i)]: 136.19/137.20 (( 136.19/137.20 ![X592]: 136.19/137.20 (in( 136.19/137.20 X592,X589) => 136.19/137.20 in( 136.19/137.20 X591( 136.19/137.20 X592), 136.19/137.20 X590))) => 136.19/137.20 in( 136.19/137.20 lam( 136.19/137.20 X589, 136.19/137.20 X590, 136.19/137.20 ^[V_40]: 136.19/137.20 X591( 136.19/137.20 V_40)), 136.19/137.20 funcSet( 136.19/137.20 X589,X590)))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X593, 136.19/137.20 X594,X595]: 136.19/137.20 (breln( 136.19/137.20 X593, 136.19/137.20 X594,X595) => 136.19/137.20 (![X596:( 136.19/137.20 $i > $o)]: 136.19/137.20 (( 136.19/137.20 ![X597]: 136.19/137.20 (in( 136.19/137.20 X597,X593) => 136.19/137.20 (![X598]: 136.19/137.20 (in( 136.19/137.20 X598,X594) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X597,X598), 136.19/137.20 X595) => 136.19/137.20 X596( 136.19/137.20 kpair( 136.19/137.20 X597,X598))))))) => 136.19/137.20 (![X599]: 136.19/137.20 (in( 136.19/137.20 X599,X595) => 136.19/137.20 X596( 136.19/137.20 X599))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X600, 136.19/137.20 X601,X602]: 136.19/137.20 (breln( 136.19/137.20 X600, 136.19/137.20 X601,X602) => 136.19/137.20 (![X603:( 136.19/137.20 $i > $o)]: 136.19/137.20 (( 136.19/137.20 ![X604]: 136.19/137.20 (in( 136.19/137.20 X604,X600) => 136.19/137.20 (![X605]: 136.19/137.20 (in( 136.19/137.20 X605,X601) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X604,X605), 136.19/137.20 X602) => 136.19/137.20 X603( 136.19/137.20 kpair( 136.19/137.20 X604,X605))))))) => 136.19/137.20 (![X606]: 136.19/137.20 (in( 136.19/137.20 X606,X602) => 136.19/137.20 X603( 136.19/137.20 X606))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X607, 136.19/137.20 X608:( 136.19/137.20 $i > $o)]: 136.19/137.20 (ex1( 136.19/137.20 X607, 136.19/137.20 ^[V_41]: 136.19/137.20 X608( 136.19/137.20 V_41)) => 136.19/137.20 (![X609]: 136.19/137.20 (in( 136.19/137.20 X609,X607) => 136.19/137.20 (![X610]: 136.19/137.20 (in( 136.19/137.20 X610,X607) => 136.19/137.20 (X608( 136.19/137.20 X609) => 136.19/137.20 (X608( 136.19/137.20 X610) => 136.19/137.20 (X609 = 136.19/137.20 X610))))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X611, 136.19/137.20 X612,X613]: 136.19/137.20 (func( 136.19/137.20 X611, 136.19/137.20 X612,X613) => 136.19/137.20 (![X614]: 136.19/137.20 (in( 136.19/137.20 X614,X611) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X614, 136.19/137.20 ap( 136.19/137.20 X611, 136.19/137.20 X612, 136.19/137.20 X613,X614)), 136.19/137.20 X613))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X615, 136.19/137.20 X616,X617]: 136.19/137.20 (in( 136.19/137.20 X617, 136.19/137.20 funcSet( 136.19/137.20 X615,X616)) => 136.19/137.20 (![X618]: 136.19/137.20 (in( 136.19/137.20 X618,X615) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X618, 136.19/137.20 ap( 136.19/137.20 X615, 136.19/137.20 X616, 136.19/137.20 X617,X618)), 136.19/137.20 X617))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X619, 136.19/137.20 X620,X621]: 136.19/137.20 (func( 136.19/137.20 X619, 136.19/137.20 X620,X621) => 136.19/137.20 (![X622]: 136.19/137.20 (in( 136.19/137.20 X622,X619) => 136.19/137.20 (![X623]: 136.19/137.20 (in( 136.19/137.20 X623,X620) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X622,X623), 136.19/137.20 X621) => 136.19/137.20 (ap( 136.19/137.20 X619, 136.19/137.20 X620, 136.19/137.20 X621,X622) = 136.19/137.20 X623)))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X624, 136.19/137.20 X625,X626]: 136.19/137.20 (func( 136.19/137.20 X624, 136.19/137.20 X625,X626) => 136.19/137.20 (![X627]: 136.19/137.20 (func( 136.19/137.20 X624, 136.19/137.20 X625,X627) => 136.19/137.20 (( 136.19/137.20 ![X628]: 136.19/137.20 (in( 136.19/137.20 X628,X624) => 136.19/137.20 (ap( 136.19/137.20 X624, 136.19/137.20 X625, 136.19/137.20 X626,X628) = 136.19/137.20 ap( 136.19/137.20 X624, 136.19/137.20 X625, 136.19/137.20 X627,X628)))) => 136.19/137.20 (![X629]: 136.19/137.20 (in( 136.19/137.20 X629,X624) => 136.19/137.20 (![X630]: 136.19/137.20 (in( 136.19/137.20 X630,X625) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X629,X630), 136.19/137.20 X627) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X629,X630), 136.19/137.20 X626))))))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X631, 136.19/137.20 X632,X633]: 136.19/137.20 (in( 136.19/137.20 X633, 136.19/137.20 funcSet( 136.19/137.20 X631,X632)) => 136.19/137.20 (![X634]: 136.19/137.20 (in( 136.19/137.20 X634,X631) => 136.19/137.20 (![X635]: 136.19/137.20 (in( 136.19/137.20 X635,X632) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X634,X635), 136.19/137.20 X633) => 136.19/137.20 (ap( 136.19/137.20 X631, 136.19/137.20 X632, 136.19/137.20 X633,X634) = 136.19/137.20 X635)))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X636, 136.19/137.20 X637,X638]: 136.19/137.20 (breln( 136.19/137.20 X636, 136.19/137.20 X637,X638) => 136.19/137.20 (![X639]: 136.19/137.20 (breln( 136.19/137.20 X636, 136.19/137.20 X637,X639) => 136.19/137.20 (( 136.19/137.20 ![X640]: 136.19/137.20 (in( 136.19/137.20 X640,X636) => 136.19/137.20 (![X641]: 136.19/137.20 (in( 136.19/137.20 X641,X637) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X640,X641), 136.19/137.20 X638) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X640,X641), 136.19/137.20 X639)))))) => 136.19/137.20 subset( 136.19/137.20 X638,X639)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X642, 136.19/137.20 X643,X644]: 136.19/137.20 (breln( 136.19/137.20 X642, 136.19/137.20 X643,X644) => 136.19/137.20 (![X645]: 136.19/137.20 (breln( 136.19/137.20 X642, 136.19/137.20 X643,X645) => 136.19/137.20 (( 136.19/137.20 ![X646]: 136.19/137.20 (in( 136.19/137.20 X646,X642) => 136.19/137.20 (![X647]: 136.19/137.20 (in( 136.19/137.20 X647,X643) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X646,X647), 136.19/137.20 X644) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X646,X647), 136.19/137.20 X645)))))) => 136.19/137.20 (( 136.19/137.20 ![X648]: 136.19/137.20 (in( 136.19/137.20 X648,X642) => 136.19/137.20 (![X649]: 136.19/137.20 (in( 136.19/137.20 X649,X643) => 136.19/137.20 (in( 136.19/137.20 kpair( 136.19/137.20 X648,X649), 136.19/137.20 X645) => 136.19/137.20 in( 136.19/137.20 kpair( 136.19/137.20 X648,X649), 136.19/137.20 X644)))))) => 136.19/137.20 (X644 = 136.19/137.20 X645))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X650, 136.19/137.20 X651,X652]: 136.19/137.20 (func( 136.19/137.20 X650, 136.19/137.20 X651,X652) => 136.19/137.20 (![X653]: 136.19/137.20 (func( 136.19/137.20 X650, 136.19/137.20 X651,X653) => 136.19/137.20 (( 136.19/137.20 ![X654]: 136.19/137.20 (in( 136.19/137.20 X654,X650) => 136.19/137.20 (ap( 136.19/137.20 X650, 136.19/137.20 X651, 136.19/137.20 X652,X654) = 136.19/137.20 ap( 136.19/137.20 X650, 136.19/137.20 X651, 136.19/137.20 X653,X654)))) => 136.19/137.20 (X652 = 136.19/137.20 X653)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X655, 136.19/137.20 X656,X657]: 136.19/137.20 (in( 136.19/137.20 X657, 136.19/137.20 funcSet( 136.19/137.20 X655,X656)) => 136.19/137.20 (![X658]: 136.19/137.20 (in( 136.19/137.20 X658, 136.19/137.20 funcSet( 136.19/137.20 X655,X656)) => 136.19/137.20 (( 136.19/137.20 ![X659]: 136.19/137.20 (in( 136.19/137.20 X659,X655) => 136.19/137.20 (ap( 136.19/137.20 X655, 136.19/137.20 X656, 136.19/137.20 X657,X659) = 136.19/137.20 ap( 136.19/137.20 X655, 136.19/137.20 X656, 136.19/137.20 X658,X659)))) => 136.19/137.20 (X657 = 136.19/137.20 X658)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X660, 136.19/137.20 X661,X662]: 136.19/137.20 (in( 136.19/137.20 X662, 136.19/137.20 funcSet( 136.19/137.20 X660,X661)) => 136.19/137.20 (![X663]: 136.19/137.20 (in( 136.19/137.20 X663,X660) => 136.19/137.20 (ap( 136.19/137.20 X660, 136.19/137.20 X661, 136.19/137.20 X662,X663) = 136.19/137.20 ap( 136.19/137.20 X660, 136.19/137.20 X661, 136.19/137.20 X662,X663)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X664, 136.19/137.20 X665,X666]: 136.19/137.20 (func( 136.19/137.20 X664, 136.19/137.20 X665,X666) => 136.19/137.20 (![X667]: 136.19/137.20 (in( 136.19/137.20 X667,X664) => 136.19/137.20 (ap( 136.19/137.20 X664, 136.19/137.20 X665, 136.19/137.20 X666,X667) = 136.19/137.20 ap( 136.19/137.20 X664, 136.19/137.20 X665, 136.19/137.20 X666,X667)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X668, 136.19/137.20 X669, 136.19/137.20 X670:( 136.19/137.20 $i > $i)]: 136.19/137.20 (( 136.19/137.20 ![X671]: 136.19/137.20 (in( 136.19/137.20 X671,X668) => 136.19/137.20 in( 136.19/137.20 X670( 136.19/137.20 X671), 136.19/137.20 X669))) => 136.19/137.20 (![X672]: 136.19/137.20 (in( 136.19/137.20 X672,X668) => 136.19/137.20 (ap( 136.19/137.20 X668, 136.19/137.20 X669, 136.19/137.20 lam( 136.19/137.20 X668, 136.19/137.20 X669, 136.19/137.20 ^[V_42]: 136.19/137.20 X670( 136.19/137.20 V_42)), 136.19/137.20 X672) = 136.19/137.20 X670( 136.19/137.20 X672)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X673, 136.19/137.20 X674,X675]: 136.19/137.20 (func( 136.19/137.20 X673, 136.19/137.20 X674,X675) => 136.19/137.20 (lam( 136.19/137.20 X673, 136.19/137.20 X674, 136.19/137.20 ^[V_43]: 136.19/137.20 ap( 136.19/137.20 X673, 136.19/137.20 X674, 136.19/137.20 X675,V_43)) = 136.19/137.20 X675))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X676, 136.19/137.20 X677, 136.19/137.20 X678:( 136.19/137.20 $i > $i)]: 136.19/137.20 (( 136.19/137.20 ![X679]: 136.19/137.20 (in( 136.19/137.20 X679,X676) => 136.19/137.20 in( 136.19/137.20 X678( 136.19/137.20 X679), 136.19/137.20 X677))) => 136.19/137.20 (lam( 136.19/137.20 X676, 136.19/137.20 X677, 136.19/137.20 ^[V_44]: 136.19/137.20 X678( 136.19/137.20 V_44)) = 136.19/137.20 lam( 136.19/137.20 X676, 136.19/137.20 X677, 136.19/137.20 ^[V_45]: 136.19/137.20 X678( 136.19/137.20 V_45))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X680, 136.19/137.20 X681, 136.19/137.20 X682:( 136.19/137.20 $i > $i)]: 136.19/137.20 (( 136.19/137.20 ![X683]: 136.19/137.20 (in( 136.19/137.20 X683,X680) => 136.19/137.20 in( 136.19/137.20 X682( 136.19/137.20 X683), 136.19/137.20 X681))) => 136.19/137.20 (![X684]: 136.19/137.20 (in( 136.19/137.20 X684,X680) => 136.19/137.20 (ap( 136.19/137.20 X680, 136.19/137.20 X681, 136.19/137.20 lam( 136.19/137.20 X680, 136.19/137.20 X681, 136.19/137.20 ^[V_46]: 136.19/137.20 X682( 136.19/137.20 V_46)), 136.19/137.20 X684) = 136.19/137.20 X682( 136.19/137.20 X684)))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X685, 136.19/137.20 X686,X687]: 136.19/137.20 (in( 136.19/137.20 X687, 136.19/137.20 funcSet( 136.19/137.20 X685,X686)) => 136.19/137.20 (lam( 136.19/137.20 X685, 136.19/137.20 X686, 136.19/137.20 ^[V_47]: 136.19/137.20 ap( 136.19/137.20 X685, 136.19/137.20 X686, 136.19/137.20 X687,V_47)) = 136.19/137.20 X687))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X688, 136.19/137.20 X689:$o, 136.19/137.20 X690]: 136.19/137.20 (in( 136.19/137.20 X690,X688) => 136.19/137.20 (![X691]: 136.19/137.20 (in( 136.19/137.20 X691,X688) => 136.19/137.20 (( 136.19/137.20 ~X689) => 136.19/137.20 in( 136.19/137.20 X691, 136.19/137.20 dsetconstr( 136.19/137.20 X688, 136.19/137.20 ^[V_48]: 136.19/137.20 (( 136.19/137.20 X689 & 136.19/137.20 ( 136.19/137.20 V_48 = 136.19/137.20 X690)) | 136.19/137.20 (( 136.19/137.20 ~X689) & 136.19/137.20 (V_48 = 136.19/137.20 X691)))))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X692, 136.19/137.20 X693:$o, 136.19/137.20 X694]: 136.19/137.20 (in( 136.19/137.20 X694,X692) => 136.19/137.20 (![X695]: 136.19/137.20 (in( 136.19/137.20 X695,X692) => 136.19/137.20 (( 136.19/137.20 ~X693) => 136.19/137.20 (dsetconstr( 136.19/137.20 X692, 136.19/137.20 ^[V_49]: 136.19/137.20 (( 136.19/137.20 X693 & 136.19/137.20 ( 136.19/137.20 V_49 = 136.19/137.20 X694)) | 136.19/137.20 (( 136.19/137.20 ~X693) & 136.19/137.20 (V_49 = 136.19/137.20 X695)))) = 136.19/137.20 setadjoin( 136.19/137.20 X695, 136.19/137.20 emptyset))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X696, 136.19/137.20 X697:$o, 136.19/137.20 X698]: 136.19/137.20 (in( 136.19/137.20 X698,X696) => 136.19/137.20 (![X699]: 136.19/137.20 (in( 136.19/137.20 X699,X696) => 136.19/137.20 (X697 => 136.19/137.20 in( 136.19/137.20 X698, 136.19/137.20 dsetconstr( 136.19/137.20 X696, 136.19/137.20 ^[V_50]: 136.19/137.20 (( 136.19/137.20 X697 & 136.19/137.20 ( 136.19/137.20 V_50 = 136.19/137.20 X698)) | 136.19/137.20 (( 136.19/137.20 ~X697) & 136.19/137.20 (V_50 = 136.19/137.20 X699)))))))))) => 136.19/137.20 ( 136.19/137.20 ( 136.19/137.20 ![X700, 136.19/137.20 X701:$o, 136.19/137.20 X702]: 136.19/137.20 (in( 136.19/137.20 X702,X700) => 136.19/137.20 (![X703]: 136.19/137.20 (in( 136.19/137.20 X703,X700) => 136.19/137.20 (X701 => 136.19/137.20 (dsetconstr( 136.19/137.21 X700, 136.19/137.21 ^[V_51]: 136.19/137.21 (( 136.19/137.21 X701 & 136.19/137.21 ( 136.19/137.21 V_51 = 136.19/137.21 X702)) | 136.19/137.21 (( 136.19/137.21 ~X701) & 136.19/137.21 (V_51 = 136.19/137.21 X703)))) = 136.19/137.21 setadjoin( 136.19/137.21 X702, 136.19/137.21 emptyset))))))) => 136.19/137.21 ( 136.19/137.21 ( 136.19/137.21 ![X704, 136.19/137.21 X705:$o, 136.19/137.21 X706]: 136.19/137.21 (in( 136.19/137.21 X706,X704) => 136.19/137.21 (![X707]: 136.19/137.21 (in( 136.19/137.21 X707,X704) => 136.19/137.21 singleton( 136.19/137.21 dsetconstr( 136.19/137.21 X704, 136.19/137.21 ^[V_52]: 136.19/137.21 (( 136.19/137.21 X705 & 136.19/137.21 ( 136.19/137.21 V_52 = 136.19/137.21 X706)) | 136.19/137.21 (( 136.19/137.21 ~X705) & 136.19/137.21 (V_52 = 136.19/137.21 X707))))))))) => 136.19/137.21 ( 136.19/137.21 ( 136.19/137.21 ![X708, 136.19/137.21 X709:$o, 136.19/137.21 X710]: 136.19/137.21 (in( 136.19/137.21 X710,X708) => 136.19/137.21 (![X711]: 136.19/137.21 (in( 136.19/137.21 X711,X708) => 136.19/137.21 in( 136.19/137.21 if( 136.19/137.21 X708, 136.19/137.21 X709, 136.19/137.21 X710,X711), 136.19/137.21 X708))))) => 136.19/137.21 ( 136.19/137.21 ( 136.19/137.21 ![X712]: 136.19/137.21 (singleton( 136.19/137.21 X712) => 136.19/137.21 (![X713]: 136.19/137.21 (in( 136.19/137.21 X713,X712) => 136.19/137.21 (setunion( 136.19/137.21 X712) = 136.19/137.21 X713))))) => 136.19/137.21 ( 136.19/137.21 ( 136.19/137.21 ![X714, 136.19/137.21 X715:$o, 136.19/137.21 X716]: 136.19/137.21 (in( 136.19/137.21 X716,X714) => 136.19/137.21 (![X717]: 136.19/137.21 (in( 136.19/137.21 X717,X714) => 136.19/137.21 (X715 => 136.19/137.21 (if( 136.19/137.21 X714, 136.19/137.21 X715, 136.19/137.21 X716,X717) = 136.19/137.21 X716)))))) => 136.19/137.21 ( 136.19/137.21 ( 136.19/137.21 ![X718, 136.19/137.21 X719:$o, 136.19/137.21 X720]: 136.19/137.21 (in( 136.19/137.21 X720,X718) => 136.19/137.21 (![X721]: 136.19/137.21 (in( 136.19/137.21 X721,X718) => 136.19/137.21 (( 136.19/137.21 ~X719) => 136.19/137.21 (if( 136.19/137.21 X718, 136.19/137.21 X719, 136.19/137.21 X720,X721) = 136.19/137.21 X721)))))) => 136.19/137.21 ( 136.19/137.21 ( 136.19/137.21 ![X722, 136.19/137.21 X723:$o, 136.19/137.21 X724]: 136.19/137.21 (in( 136.19/137.21 X724,X722) => 136.19/137.21 (![X725]: 136.19/137.21 (in( 136.19/137.21 X725,X722) => 136.19/137.21 in( 136.21/137.21 if( 136.21/137.21 X722, 136.21/137.21 X723, 136.21/137.21 X724,X725), 136.21/137.21 setadjoin( 136.21/137.21 X724, 136.21/137.21 setadjoin( 136.21/137.21 X725, 136.21/137.21 emptyset))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X726, 136.21/137.21 X727]: 136.21/137.21 (in( 136.21/137.21 X727, 136.21/137.21 powerset( 136.21/137.21 X726)) => 136.21/137.21 (![X728]: 136.21/137.21 (in( 136.21/137.21 X728, 136.21/137.21 powerset( 136.21/137.21 X726)) => 136.21/137.21 in( 136.21/137.21 binintersect( 136.21/137.21 X727,X728), 136.21/137.21 powerset( 136.21/137.21 X726)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X729, 136.21/137.21 X730]: 136.21/137.21 (in( 136.21/137.21 X730, 136.21/137.21 powerset( 136.21/137.21 X729)) => 136.21/137.21 (![X731]: 136.21/137.21 (in( 136.21/137.21 X731, 136.21/137.21 powerset( 136.21/137.21 X729)) => 136.21/137.21 in( 136.21/137.21 binunion( 136.21/137.21 X730,X731), 136.21/137.21 powerset( 136.21/137.21 X729)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X732, 136.21/137.21 X733]: 136.21/137.21 (in( 136.21/137.21 X733, 136.21/137.21 powerset( 136.21/137.21 X732)) => 136.21/137.21 in( 136.21/137.21 powerset( 136.21/137.21 X733), 136.21/137.21 powerset( 136.21/137.21 powerset( 136.21/137.21 X732))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X734, 136.21/137.21 X735]: 136.21/137.21 (in( 136.21/137.21 X735, 136.21/137.21 powerset( 136.21/137.21 X734)) => 136.21/137.21 (![X736]: 136.21/137.21 (in( 136.21/137.21 X736, 136.21/137.21 powerset( 136.21/137.21 X734)) => 136.21/137.21 in( 136.21/137.21 setminus( 136.21/137.21 X735,X736), 136.21/137.21 powerset( 136.21/137.21 X734)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X737, 136.21/137.21 X738]: 136.21/137.21 (in( 136.21/137.21 X738, 136.21/137.21 powerset( 136.21/137.21 X737)) => 136.21/137.21 in( 136.21/137.21 setminus( 136.21/137.21 X737,X738), 136.21/137.21 powerset( 136.21/137.21 X737)))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X739, 136.21/137.21 X740]: 136.21/137.21 (in( 136.21/137.21 X740, 136.21/137.21 powerset( 136.21/137.21 X739)) => 136.21/137.21 (![X741]: 136.21/137.21 (in( 136.21/137.21 X741, 136.21/137.21 powerset( 136.21/137.21 X739)) => 136.21/137.21 (( 136.21/137.21 ![X742]: 136.21/137.21 (in( 136.21/137.21 X742,X739) => 136.21/137.21 (in( 136.21/137.21 X742,X740) => 136.21/137.21 in( 136.21/137.21 X742,X741)))) => 136.21/137.21 (( 136.21/137.21 ![X743]: 136.21/137.21 (in( 136.21/137.21 X743,X739) => 136.21/137.21 (in( 136.21/137.21 X743,X741) => 136.21/137.21 in( 136.21/137.21 X743,X740)))) => 136.21/137.21 (X740 = 136.21/137.21 X741))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X744, 136.21/137.21 X745]: 136.21/137.21 (in( 136.21/137.21 X745, 136.21/137.21 powerset( 136.21/137.21 X744)) => 136.21/137.21 (![X746]: 136.21/137.21 (in( 136.21/137.21 X746, 136.21/137.21 powerset( 136.21/137.21 X744)) => 136.21/137.21 (( 136.21/137.21 ![X747]: 136.21/137.21 (in( 136.21/137.21 X747,X744) => 136.21/137.21 (in( 136.21/137.21 X747,X745) => 136.21/137.21 in( 136.21/137.21 X747,X746)))) => 136.21/137.21 subset( 136.21/137.21 X745,X746)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X748, 136.21/137.21 X749]: 136.21/137.21 (in( 136.21/137.21 X749, 136.21/137.21 powerset( 136.21/137.21 X748)) => 136.21/137.21 (![X750]: 136.21/137.21 (in( 136.21/137.21 X750, 136.21/137.21 powerset( 136.21/137.21 X748)) => 136.21/137.21 (( 136.21/137.21 ![X751]: 136.21/137.21 (in( 136.21/137.21 X751,X748) => 136.21/137.21 (in( 136.21/137.21 X751,X749) => 136.21/137.21 in( 136.21/137.21 X751,X750)))) => 136.21/137.21 in( 136.21/137.21 X749, 136.21/137.21 powerset( 136.21/137.21 X750))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X752, 136.21/137.21 X753]: 136.21/137.21 (in( 136.21/137.21 X753, 136.21/137.21 powerset( 136.21/137.21 X752)) => 136.21/137.21 (![X754]: 136.21/137.21 (in( 136.21/137.21 X754, 136.21/137.21 powerset( 136.21/137.21 X752)) => 136.21/137.21 (![X755]: 136.21/137.21 (in( 136.21/137.21 X755,X752) => 136.21/137.21 (in( 136.21/137.21 X753, 136.21/137.21 powerset( 136.21/137.21 X754)) => 136.21/137.21 (in( 136.21/137.21 X755,X753) => 136.21/137.21 in( 136.21/137.21 X755,X754))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X756, 136.21/137.21 X757]: 136.21/137.21 (in( 136.21/137.21 X757, 136.21/137.21 powerset( 136.21/137.21 X756)) => 136.21/137.21 (![X758]: 136.21/137.21 (in( 136.21/137.21 X758,X756) => 136.21/137.21 (in( 136.21/137.21 X758,X757) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X758, 136.21/137.21 setminus( 136.21/137.21 X756,X757)))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X759, 136.21/137.21 X760]: 136.21/137.21 (in( 136.21/137.21 X760, 136.21/137.21 powerset( 136.21/137.21 X759)) => 136.21/137.21 (![X761]: 136.21/137.21 (in( 136.21/137.21 X761,X759) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X761, 136.21/137.21 setminus( 136.21/137.21 X759,X760))) => 136.21/137.21 in( 136.21/137.21 X761,X760)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X762, 136.21/137.21 X763]: 136.21/137.21 (in( 136.21/137.21 X763, 136.21/137.21 powerset( 136.21/137.21 X762)) => 136.21/137.21 (![X764]: 136.21/137.21 (in( 136.21/137.21 X764, 136.21/137.21 powerset( 136.21/137.21 X762)) => 136.21/137.21 (![X765]: 136.21/137.21 (in( 136.21/137.21 X765,X762) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X765,X763)) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X765, 136.21/137.21 binintersect( 136.21/137.21 X763,X764)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X766, 136.21/137.21 X767]: 136.21/137.21 (in( 136.21/137.21 X767, 136.21/137.21 powerset( 136.21/137.21 X766)) => 136.21/137.21 (![X768]: 136.21/137.21 (in( 136.21/137.21 X768, 136.21/137.21 powerset( 136.21/137.21 X766)) => 136.21/137.21 (![X769]: 136.21/137.21 (in( 136.21/137.21 X769,X766) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X769,X768)) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X769, 136.21/137.21 binintersect( 136.21/137.21 X767,X768)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X770, 136.21/137.21 X771]: 136.21/137.21 (in( 136.21/137.21 X771, 136.21/137.21 powerset( 136.21/137.21 X770)) => 136.21/137.21 (![X772]: 136.21/137.21 (in( 136.21/137.21 X772, 136.21/137.21 powerset( 136.21/137.21 X770)) => 136.21/137.21 (![X773]: 136.21/137.21 (in( 136.21/137.21 X773,X770) => 136.21/137.21 (subset( 136.21/137.21 X771, 136.21/137.21 setminus( 136.21/137.21 X770,X772)) => 136.21/137.21 (in( 136.21/137.21 X773,X772) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X773,X771)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X774, 136.21/137.21 X775]: 136.21/137.21 (in( 136.21/137.21 X775, 136.21/137.21 powerset( 136.21/137.21 X774)) => 136.21/137.21 (![X776]: 136.21/137.21 (in( 136.21/137.21 X776, 136.21/137.21 powerset( 136.21/137.21 X774)) => 136.21/137.21 (![X777]: 136.21/137.21 (in( 136.21/137.21 X777,X774) => 136.21/137.21 (subset( 136.21/137.21 X775,X776) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X777,X776)) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X777,X775)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X778, 136.21/137.21 X779]: 136.21/137.21 (in( 136.21/137.21 X779, 136.21/137.21 powerset( 136.21/137.21 X778)) => 136.21/137.21 (![X780]: 136.21/137.21 (in( 136.21/137.21 X780, 136.21/137.21 powerset( 136.21/137.21 X778)) => 136.21/137.21 (subset( 136.21/137.21 X779,X780) => 136.21/137.21 subset( 136.21/137.21 setminus( 136.21/137.21 X778,X780), 136.21/137.21 setminus( 136.21/137.21 X778,X779))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X781, 136.21/137.21 X782]: 136.21/137.21 (in( 136.21/137.21 X782, 136.21/137.21 powerset( 136.21/137.21 X781)) => 136.21/137.21 (![X783]: 136.21/137.21 (in( 136.21/137.21 X783, 136.21/137.21 powerset( 136.21/137.21 X781)) => 136.21/137.21 (subset( 136.21/137.21 setminus( 136.21/137.21 X781,X783), 136.21/137.21 setminus( 136.21/137.21 X781,X782)) => 136.21/137.21 subset( 136.21/137.21 X782,X783)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X784, 136.21/137.21 X785]: 136.21/137.21 (in( 136.21/137.21 X785, 136.21/137.21 powerset( 136.21/137.21 X784)) => 136.21/137.21 (![X786]: 136.21/137.21 (in( 136.21/137.21 X786,X784) => 136.21/137.21 (in( 136.21/137.21 X786,X785) => 136.21/137.21 in( 136.21/137.21 X786, 136.21/137.21 setminus( 136.21/137.21 X784, 136.21/137.21 setminus( 136.21/137.21 X784,X785)))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X787, 136.21/137.21 X788]: 136.21/137.21 (in( 136.21/137.21 X788, 136.21/137.21 powerset( 136.21/137.21 X787)) => 136.21/137.21 (![X789]: 136.21/137.21 (in( 136.21/137.21 X789,X787) => 136.21/137.21 (in( 136.21/137.21 X789, 136.21/137.21 setminus( 136.21/137.21 X787, 136.21/137.21 setminus( 136.21/137.21 X787,X788))) => 136.21/137.21 in( 136.21/137.21 X789,X788)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X790, 136.21/137.21 X791]: 136.21/137.21 (in( 136.21/137.21 X791, 136.21/137.21 powerset( 136.21/137.21 X790)) => 136.21/137.21 subset( 136.21/137.21 X791, 136.21/137.21 setminus( 136.21/137.21 X790, 136.21/137.21 setminus( 136.21/137.21 X790,X791))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X792, 136.21/137.21 X793]: 136.21/137.21 (in( 136.21/137.21 X793, 136.21/137.21 powerset( 136.21/137.21 X792)) => 136.21/137.21 subset( 136.21/137.21 setminus( 136.21/137.21 X792, 136.21/137.21 setminus( 136.21/137.21 X792,X793)), 136.21/137.21 X793))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X794, 136.21/137.21 X795]: 136.21/137.21 (in( 136.21/137.21 X795, 136.21/137.21 powerset( 136.21/137.21 X794)) => 136.21/137.21 (X795 = 136.21/137.21 setminus( 136.21/137.21 X794, 136.21/137.21 setminus( 136.21/137.21 X794,X795))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X796, 136.21/137.21 X797]: 136.21/137.21 (in( 136.21/137.21 X797, 136.21/137.21 powerset( 136.21/137.21 X796)) => 136.21/137.21 (![X798]: 136.21/137.21 (in( 136.21/137.21 X798, 136.21/137.21 powerset( 136.21/137.21 X796)) => 136.21/137.21 (![X799]: 136.21/137.21 (in( 136.21/137.21 X799,X796) => 136.21/137.21 (in( 136.21/137.21 X799, 136.21/137.21 setminus( 136.21/137.21 X796,X797)) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X799, 136.21/137.21 binintersect( 136.21/137.21 X797,X798)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X800, 136.21/137.21 X801]: 136.21/137.21 (in( 136.21/137.21 X801, 136.21/137.21 powerset( 136.21/137.21 X800)) => 136.21/137.21 (![X802]: 136.21/137.21 (in( 136.21/137.21 X802, 136.21/137.21 powerset( 136.21/137.21 X800)) => 136.21/137.21 (![X803]: 136.21/137.21 (in( 136.21/137.21 X803,X800) => 136.21/137.21 (in( 136.21/137.21 X803, 136.21/137.21 setminus( 136.21/137.21 X800,X801)) => 136.21/137.21 in( 136.21/137.21 X803, 136.21/137.21 setminus( 136.21/137.21 X800, 136.21/137.21 binintersect( 136.21/137.21 X801,X802)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X804, 136.21/137.21 X805]: 136.21/137.21 (in( 136.21/137.21 X805, 136.21/137.21 powerset( 136.21/137.21 X804)) => 136.21/137.21 (![X806]: 136.21/137.21 (in( 136.21/137.21 X806, 136.21/137.21 powerset( 136.21/137.21 X804)) => 136.21/137.21 subset( 136.21/137.21 setminus( 136.21/137.21 X804,X805), 136.21/137.21 setminus( 136.21/137.21 X804, 136.21/137.21 binintersect( 136.21/137.21 X805,X806))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X807, 136.21/137.21 X808]: 136.21/137.21 (in( 136.21/137.21 X808, 136.21/137.21 powerset( 136.21/137.21 X807)) => 136.21/137.21 (![X809]: 136.21/137.21 (in( 136.21/137.21 X809, 136.21/137.21 powerset( 136.21/137.21 X807)) => 136.21/137.21 in( 136.21/137.21 setminus( 136.21/137.21 X807,X808), 136.21/137.21 powerset( 136.21/137.21 setminus( 136.21/137.21 X807, 136.21/137.21 binintersect( 136.21/137.21 X808,X809)))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X810, 136.21/137.21 X811]: 136.21/137.21 (in( 136.21/137.21 X811, 136.21/137.21 powerset( 136.21/137.21 X810)) => 136.21/137.21 (![X812]: 136.21/137.21 (in( 136.21/137.21 X812, 136.21/137.21 powerset( 136.21/137.21 X810)) => 136.21/137.21 (subset( 136.21/137.21 X811, 136.21/137.21 setminus( 136.21/137.21 X810,X812)) => 136.21/137.21 (![X813]: 136.21/137.21 (in( 136.21/137.21 X813,X810) => 136.21/137.21 (in( 136.21/137.21 X813,X812) => 136.21/137.21 in( 136.21/137.21 X813, 136.21/137.21 setminus( 136.21/137.21 X810,X811)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X814, 136.21/137.21 X815]: 136.21/137.21 (in( 136.21/137.21 X815, 136.21/137.21 powerset( 136.21/137.21 X814)) => 136.21/137.21 (![X816]: 136.21/137.21 (in( 136.21/137.21 X816, 136.21/137.21 powerset( 136.21/137.21 X814)) => 136.21/137.21 (subset( 136.21/137.21 X815, 136.21/137.21 setminus( 136.21/137.21 X814,X816)) => 136.21/137.21 subset( 136.21/137.21 X816, 136.21/137.21 setminus( 136.21/137.21 X814,X815))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X817, 136.21/137.21 X818]: 136.21/137.21 (in( 136.21/137.21 X818, 136.21/137.21 powerset( 136.21/137.21 X817)) => 136.21/137.21 (![X819]: 136.21/137.21 (in( 136.21/137.21 X819, 136.21/137.21 powerset( 136.21/137.21 X817)) => 136.21/137.21 (![X820]: 136.21/137.21 (in( 136.21/137.21 X820,X817) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X820, 136.21/137.21 binunion( 136.21/137.21 X818,X819))) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X820,X818))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X821, 136.21/137.21 X822]: 136.21/137.21 (in( 136.21/137.21 X822, 136.21/137.21 powerset( 136.21/137.21 X821)) => 136.21/137.21 (![X823]: 136.21/137.21 (in( 136.21/137.21 X823, 136.21/137.21 powerset( 136.21/137.21 X821)) => 136.21/137.21 (![X824]: 136.21/137.21 (in( 136.21/137.21 X824,X821) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X824, 136.21/137.21 binunion( 136.21/137.21 X822,X823))) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X824,X823))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X825, 136.21/137.21 X826]: 136.21/137.21 (in( 136.21/137.21 X826, 136.21/137.21 powerset( 136.21/137.21 X825)) => 136.21/137.21 (![X827]: 136.21/137.21 (in( 136.21/137.21 X827, 136.21/137.21 powerset( 136.21/137.21 X825)) => 136.21/137.21 (![X828]: 136.21/137.21 (in( 136.21/137.21 X828, 136.21/137.21 powerset( 136.21/137.21 X825)) => 136.21/137.21 (![X829]: 136.21/137.21 (in( 136.21/137.21 X829,X825) => 136.21/137.21 (in( 136.21/137.21 X829, 136.21/137.21 binintersect( 136.21/137.21 X826,X827)) => 136.21/137.21 in( 136.21/137.21 X829, 136.21/137.21 binunion( 136.21/137.21 X826,X828))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X830, 136.21/137.21 X831]: 136.21/137.21 (in( 136.21/137.21 X831, 136.21/137.21 powerset( 136.21/137.21 X830)) => 136.21/137.21 (![X832]: 136.21/137.21 (in( 136.21/137.21 X832, 136.21/137.21 powerset( 136.21/137.21 X830)) => 136.21/137.21 (![X833]: 136.21/137.21 (in( 136.21/137.21 X833, 136.21/137.21 powerset( 136.21/137.21 X830)) => 136.21/137.21 (![X834]: 136.21/137.21 (in( 136.21/137.21 X834,X830) => 136.21/137.21 (in( 136.21/137.21 X834, 136.21/137.21 binintersect( 136.21/137.21 X831,X832)) => 136.21/137.21 in( 136.21/137.21 X834, 136.21/137.21 binunion( 136.21/137.21 X832,X833))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X835, 136.21/137.21 X836]: 136.21/137.21 (in( 136.21/137.21 X836, 136.21/137.21 powerset( 136.21/137.21 X835)) => 136.21/137.21 (![X837]: 136.21/137.21 (in( 136.21/137.21 X837, 136.21/137.21 powerset( 136.21/137.21 X835)) => 136.21/137.21 (![X838]: 136.21/137.21 (in( 136.21/137.21 X838, 136.21/137.21 powerset( 136.21/137.21 X835)) => 136.21/137.21 (![X839]: 136.21/137.21 (in( 136.21/137.21 X839,X835) => 136.21/137.21 (in( 136.21/137.21 X839, 136.21/137.21 binintersect( 136.21/137.21 X836,X837)) => 136.21/137.21 in( 136.21/137.21 X839, 136.21/137.21 binintersect( 136.21/137.21 binunion( 136.21/137.21 X836,X838), 136.21/137.21 binunion( 136.21/137.21 X837,X838)))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X840, 136.21/137.21 X841]: 136.21/137.21 (in( 136.21/137.21 X841, 136.21/137.21 powerset( 136.21/137.21 X840)) => 136.21/137.21 (![X842]: 136.21/137.21 (in( 136.21/137.21 X842, 136.21/137.21 powerset( 136.21/137.21 X840)) => 136.21/137.21 (![X843]: 136.21/137.21 (in( 136.21/137.21 X843, 136.21/137.21 powerset( 136.21/137.21 X840)) => 136.21/137.21 in( 136.21/137.21 binintersect( 136.21/137.21 X841,X842), 136.21/137.21 powerset( 136.21/137.21 binintersect( 136.21/137.21 binunion( 136.21/137.21 X841,X843), 136.21/137.21 binunion( 136.21/137.21 X842,X843)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X844, 136.21/137.21 X845]: 136.21/137.21 (in( 136.21/137.21 X845, 136.21/137.21 powerset( 136.21/137.21 X844)) => 136.21/137.21 (![X846]: 136.21/137.21 (in( 136.21/137.21 X846, 136.21/137.21 powerset( 136.21/137.21 X844)) => 136.21/137.21 (![X847]: 136.21/137.21 (in( 136.21/137.21 X847,X844) => 136.21/137.21 (in( 136.21/137.21 X847, 136.21/137.21 setminus( 136.21/137.21 X844, 136.21/137.21 binunion( 136.21/137.21 X845,X846))) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X847,X845))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X848, 136.21/137.21 X849]: 136.21/137.21 (in( 136.21/137.21 X849, 136.21/137.21 powerset( 136.21/137.21 X848)) => 136.21/137.21 (![X850]: 136.21/137.21 (in( 136.21/137.21 X850, 136.21/137.21 powerset( 136.21/137.21 X848)) => 136.21/137.21 (![X851]: 136.21/137.21 (in( 136.21/137.21 X851,X848) => 136.21/137.21 (in( 136.21/137.21 X851, 136.21/137.21 setminus( 136.21/137.21 X848, 136.21/137.21 binunion( 136.21/137.21 X849,X850))) => 136.21/137.21 in( 136.21/137.21 X851, 136.21/137.21 setminus( 136.21/137.21 X848,X849))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X852, 136.21/137.21 X853]: 136.21/137.21 (in( 136.21/137.21 X853, 136.21/137.21 powerset( 136.21/137.21 X852)) => 136.21/137.21 (![X854]: 136.21/137.21 (in( 136.21/137.21 X854, 136.21/137.21 powerset( 136.21/137.21 X852)) => 136.21/137.21 (![X855:$o, 136.21/137.21 X856]: 136.21/137.21 (in( 136.21/137.21 X856,X852) => 136.21/137.21 (in( 136.21/137.21 X856, 136.21/137.21 binunion( 136.21/137.21 X853,X854)) => 136.21/137.21 (( 136.21/137.21 in( 136.21/137.21 X856,X853) => 136.21/137.21 X855) => 136.21/137.21 (( 136.21/137.21 in( 136.21/137.21 X856,X854) => 136.21/137.21 X855) => 136.21/137.21 X855))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X857, 136.21/137.21 X858]: 136.21/137.21 (in( 136.21/137.21 X858, 136.21/137.21 powerset( 136.21/137.21 X857)) => 136.21/137.21 (![X859]: 136.21/137.21 (in( 136.21/137.21 X859, 136.21/137.21 powerset( 136.21/137.21 X857)) => 136.21/137.21 (![X860]: 136.21/137.21 (in( 136.21/137.21 X860,X857) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X860,X858)) => 136.21/137.21 (( 136.21/137.21 ~ 136.21/137.21 in( 136.21/137.21 X860,X859)) => 136.21/137.21 (~ 136.21/137.21 in( 136.21/137.21 X860, 136.21/137.21 binunion( 136.21/137.21 X858,X859))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X861, 136.21/137.21 X862]: 136.21/137.21 (in( 136.21/137.21 X862, 136.21/137.21 powerset( 136.21/137.21 X861)) => 136.21/137.21 (![X863]: 136.21/137.21 (in( 136.21/137.21 X863, 136.21/137.21 powerset( 136.21/137.21 X861)) => 136.21/137.21 (![X864]: 136.21/137.21 (in( 136.21/137.21 X864,X861) => 136.21/137.21 (in( 136.21/137.21 X864, 136.21/137.21 setminus( 136.21/137.21 X861, 136.21/137.21 binunion( 136.21/137.21 X862,X863))) => 136.21/137.21 in( 136.21/137.21 X864, 136.21/137.21 setminus( 136.21/137.21 X861,X862))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X865, 136.21/137.21 X866]: 136.21/137.21 (in( 136.21/137.21 X866, 136.21/137.21 powerset( 136.21/137.21 X865)) => 136.21/137.21 (![X867]: 136.21/137.21 (in( 136.21/137.21 X867, 136.21/137.21 powerset( 136.21/137.21 X865)) => 136.21/137.21 in( 136.21/137.21 setminus( 136.21/137.21 X865, 136.21/137.21 binunion( 136.21/137.21 X866,X867)), 136.21/137.21 powerset( 136.21/137.21 setminus( 136.21/137.21 X865,X866))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X868, 136.21/137.21 X869]: 136.21/137.21 (in( 136.21/137.21 X869, 136.21/137.21 powerset( 136.21/137.21 X868)) => 136.21/137.21 (![X870]: 136.21/137.21 (in( 136.21/137.21 X870, 136.21/137.21 powerset( 136.21/137.21 X868)) => 136.21/137.21 (![X871]: 136.21/137.21 (in( 136.21/137.21 X871,X868) => 136.21/137.21 (in( 136.21/137.21 X871, 136.21/137.21 setminus( 136.21/137.21 X868, 136.21/137.21 binunion( 136.21/137.21 X869,X870))) => 136.21/137.21 in( 136.21/137.21 X871, 136.21/137.21 setminus( 136.21/137.21 X868,X870))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X872, 136.21/137.21 X873]: 136.21/137.21 (in( 136.21/137.21 X873, 136.21/137.21 powerset( 136.21/137.21 X872)) => 136.21/137.21 (![X874]: 136.21/137.21 (in( 136.21/137.21 X874, 136.21/137.21 powerset( 136.21/137.21 X872)) => 136.21/137.21 (![X875]: 136.21/137.21 (in( 136.21/137.21 X875,X872) => 136.21/137.21 (in( 136.21/137.21 X875, 136.21/137.21 setminus( 136.21/137.21 X872, 136.21/137.21 binintersect( 136.21/137.21 X873,X874))) => 136.21/137.21 in( 136.21/137.21 X875, 136.21/137.21 binunion( 136.21/137.21 setminus( 136.21/137.21 X872,X873), 136.21/137.21 setminus( 136.21/137.21 X872,X874)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X876, 136.21/137.21 X877]: 136.21/137.21 (in( 136.21/137.21 X877, 136.21/137.21 powerset( 136.21/137.21 X876)) => 136.21/137.21 (![X878]: 136.21/137.21 (in( 136.21/137.21 X878, 136.21/137.21 powerset( 136.21/137.21 X876)) => 136.21/137.21 (![X879]: 136.21/137.21 (in( 136.21/137.21 X879,X876) => 136.21/137.21 (in( 136.21/137.21 X879, 136.21/137.21 binunion( 136.21/137.21 setminus( 136.21/137.21 X876,X877), 136.21/137.21 setminus( 136.21/137.21 X876,X878))) => 136.21/137.21 in( 136.21/137.21 X879, 136.21/137.21 setminus( 136.21/137.21 X876, 136.21/137.21 binintersect( 136.21/137.21 X877,X878)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X880, 136.21/137.21 X881]: 136.21/137.21 (in( 136.21/137.21 X881, 136.21/137.21 powerset( 136.21/137.21 X880)) => 136.21/137.21 (![X882]: 136.21/137.21 (in( 136.21/137.21 X882, 136.21/137.21 powerset( 136.21/137.21 X880)) => 136.21/137.21 (setminus( 136.21/137.21 X880, 136.21/137.21 binintersect( 136.21/137.21 X881,X882)) = 136.21/137.21 binunion( 136.21/137.21 setminus( 136.21/137.21 X880,X881), 136.21/137.21 setminus( 136.21/137.21 X880,X882))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X883, 136.21/137.21 X884]: 136.21/137.21 (in( 136.21/137.21 X884, 136.21/137.21 powerset( 136.21/137.21 X883)) => 136.21/137.21 (![X885]: 136.21/137.21 (in( 136.21/137.21 X885, 136.21/137.21 powerset( 136.21/137.21 X883)) => 136.21/137.21 (![X886]: 136.21/137.21 (in( 136.21/137.21 X886,X883) => 136.21/137.21 (in( 136.21/137.21 X886, 136.21/137.21 setminus( 136.21/137.21 X883, 136.21/137.21 binunion( 136.21/137.21 X884,X885))) => 136.21/137.21 in( 136.21/137.21 X886, 136.21/137.21 binintersect( 136.21/137.21 setminus( 136.21/137.21 X883,X884), 136.21/137.21 setminus( 136.21/137.21 X883,X885)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X887, 136.21/137.21 X888]: 136.21/137.21 (in( 136.21/137.21 X888, 136.21/137.21 powerset( 136.21/137.21 X887)) => 136.21/137.21 (![X889]: 136.21/137.21 (in( 136.21/137.21 X889, 136.21/137.21 powerset( 136.21/137.21 X887)) => 136.21/137.21 (![X890]: 136.21/137.21 (in( 136.21/137.21 X890,X887) => 136.21/137.21 (in( 136.21/137.21 X890, 136.21/137.21 setminus( 136.21/137.21 X887,X888)) => 136.21/137.21 (in( 136.21/137.21 X890, 136.21/137.21 setminus( 136.21/137.21 X887,X889)) => 136.21/137.21 in( 136.21/137.21 X890, 136.21/137.21 setminus( 136.21/137.21 X887, 136.21/137.21 binunion( 136.21/137.21 X888,X889))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X891, 136.21/137.21 X892]: 136.21/137.21 (in( 136.21/137.21 X892, 136.21/137.21 powerset( 136.21/137.21 X891)) => 136.21/137.21 (![X893]: 136.21/137.21 (in( 136.21/137.21 X893, 136.21/137.21 powerset( 136.21/137.21 X891)) => 136.21/137.21 (![X894]: 136.21/137.21 (in( 136.21/137.21 X894,X891) => 136.21/137.21 (in( 136.21/137.21 X894, 136.21/137.21 binintersect( 136.21/137.21 setminus( 136.21/137.21 X891,X892), 136.21/137.21 setminus( 136.21/137.21 X891,X893))) => 136.21/137.21 in( 136.21/137.21 X894, 136.21/137.21 setminus( 136.21/137.21 X891, 136.21/137.21 binunion( 136.21/137.21 X892,X893)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X895, 136.21/137.21 X896]: 136.21/137.21 (in( 136.21/137.21 X896, 136.21/137.21 powerset( 136.21/137.21 X895)) => 136.21/137.21 (![X897]: 136.21/137.21 (in( 136.21/137.21 X897, 136.21/137.21 powerset( 136.21/137.21 X895)) => 136.21/137.21 (setminus( 136.21/137.21 X895, 136.21/137.21 binunion( 136.21/137.21 X896,X897)) = 136.21/137.21 binintersect( 136.21/137.21 setminus( 136.21/137.21 X895,X896), 136.21/137.21 setminus( 136.21/137.21 X895,X897))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X898, 136.21/137.21 X899]: 136.21/137.21 (in( 136.21/137.21 X899, 136.21/137.21 powerset( 136.21/137.21 X898)) => 136.21/137.21 (![X900]: 136.21/137.21 (in( 136.21/137.21 X900, 136.21/137.21 powerset( 136.21/137.21 X898)) => 136.21/137.21 (![X901]: 136.21/137.21 (in( 136.21/137.21 X901, 136.21/137.21 binintersect( 136.21/137.21 X899,X900)) => 136.21/137.21 in( 136.21/137.21 X901,X898))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X902, 136.21/137.21 X903]: 136.21/137.21 (in( 136.21/137.21 X903, 136.21/137.21 powerset( 136.21/137.21 X902)) => 136.21/137.21 (![X904]: 136.21/137.21 (in( 136.21/137.21 X904, 136.21/137.21 powerset( 136.21/137.21 X902)) => 136.21/137.21 (![X905]: 136.21/137.21 (in( 136.21/137.21 X905, 136.21/137.21 powerset( 136.21/137.21 X902)) => 136.21/137.21 (subset( 136.21/137.21 X903,X905) => 136.21/137.21 subset( 136.21/137.21 binintersect( 136.21/137.21 X903,X904), 136.21/137.21 X905)))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X906, 136.21/137.21 X907]: 136.21/137.21 (in( 136.21/137.21 X907, 136.21/137.21 powerset( 136.21/137.21 X906)) => 136.21/137.21 (![X908]: 136.21/137.21 (in( 136.21/137.21 X908, 136.21/137.21 powerset( 136.21/137.21 X906)) => 136.21/137.21 (![X909]: 136.21/137.21 (in( 136.21/137.21 X909, 136.21/137.21 powerset( 136.21/137.21 X906)) => 136.21/137.21 (subset( 136.21/137.21 X908,X909) => 136.21/137.21 subset( 136.21/137.21 binintersect( 136.21/137.21 X907,X908), 136.21/137.21 X909)))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X910, 136.21/137.21 X911]: 136.21/137.21 (in( 136.21/137.21 X911, 136.21/137.21 powerset( 136.21/137.21 X910)) => 136.21/137.21 (![X912]: 136.21/137.21 (in( 136.21/137.21 X912, 136.21/137.21 powerset( 136.21/137.21 X910)) => 136.21/137.21 (![X913]: 136.21/137.21 (in( 136.21/137.21 X913, 136.21/137.21 powerset( 136.21/137.21 X910)) => 136.21/137.21 (subset( 136.21/137.21 X911,X912) => 136.21/137.21 (subset( 136.21/137.21 X911,X913) => 136.21/137.21 subset( 136.21/137.21 X911, 136.21/137.21 binintersect( 136.21/137.21 X912,X913)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X914, 136.21/137.21 X915]: 136.21/137.21 (in( 136.21/137.21 X915, 136.21/137.21 powerset( 136.21/137.21 X914)) => 136.21/137.21 (![X916]: 136.21/137.21 (in( 136.21/137.21 X916, 136.21/137.21 powerset( 136.21/137.21 X914)) => 136.21/137.21 (![X917]: 136.21/137.21 (in( 136.21/137.21 X917, 136.21/137.21 powerset( 136.21/137.21 X914)) => 136.21/137.21 (![X918]: 136.21/137.21 (in( 136.21/137.21 X918, 136.21/137.21 powerset( 136.21/137.21 X914)) => 136.21/137.21 (subset( 136.21/137.21 X915,X917) => 136.21/137.21 (subset( 136.21/137.21 X916,X918) => 136.21/137.21 subset( 136.21/137.21 binintersect( 136.21/137.21 X915,X916), 136.21/137.21 binintersect( 136.21/137.21 X917,X918)))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X919, 136.21/137.21 X920]: 136.21/137.21 (in( 136.21/137.21 X920, 136.21/137.21 powerset( 136.21/137.21 X919)) => 136.21/137.21 (![X921]: 136.21/137.21 (in( 136.21/137.21 X921, 136.21/137.21 powerset( 136.21/137.21 X919)) => 136.21/137.21 in( 136.21/137.21 setminus( 136.21/137.21 X919,X920), 136.21/137.21 powerset( 136.21/137.21 setminus( 136.21/137.21 X919, 136.21/137.21 binintersect( 136.21/137.21 X920,X921)))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X922, 136.21/137.21 X923]: 136.21/137.21 (in( 136.21/137.21 X923, 136.21/137.21 powerset( 136.21/137.21 X922)) => 136.21/137.21 (![X924]: 136.21/137.21 (in( 136.21/137.21 X924, 136.21/137.21 powerset( 136.21/137.21 X922)) => 136.21/137.21 (![X925]: 136.21/137.21 (in( 136.21/137.21 X925, 136.21/137.21 powerset( 136.21/137.21 X922)) => 136.21/137.21 (![X926]: 136.21/137.21 (in( 136.21/137.21 X926, 136.21/137.21 powerset( 136.21/137.21 X922)) => 136.21/137.21 (setminus( 136.21/137.21 X922, 136.21/137.21 binintersect( 136.21/137.21 binunion( 136.21/137.21 X923,X924), 136.21/137.21 binunion( 136.21/137.21 X925,X926))) = 136.21/137.21 binunion( 136.21/137.21 binintersect( 136.21/137.21 setminus( 136.21/137.21 X922,X923), 136.21/137.21 setminus( 136.21/137.21 X922,X924)), 136.21/137.21 binintersect( 136.21/137.21 setminus( 136.21/137.21 X922,X925), 136.21/137.21 setminus( 136.21/137.21 X922,X926)))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X927, 136.21/137.21 X928]: 136.21/137.21 (in( 136.21/137.21 X928, 136.21/137.21 powerset( 136.21/137.21 X927)) => 136.21/137.21 (![X929]: 136.21/137.21 (in( 136.21/137.21 X929, 136.21/137.21 powerset( 136.21/137.21 X927)) => 136.21/137.21 (![X930]: 136.21/137.21 (in( 136.21/137.21 X930, 136.21/137.21 powerset( 136.21/137.21 X927)) => 136.21/137.21 in( 136.21/137.21 binintersect( 136.21/137.21 X928,X929), 136.21/137.21 powerset( 136.21/137.21 binintersect( 136.21/137.21 binunion( 136.21/137.21 X928,X930), 136.21/137.21 binunion( 136.21/137.21 X929,X930)))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X931, 136.21/137.21 X932]: 136.21/137.21 (in( 136.21/137.21 X932, 136.21/137.21 powerset( 136.21/137.21 X931)) => 136.21/137.21 (![X933]: 136.21/137.21 (in( 136.21/137.21 X933, 136.21/137.21 powerset( 136.21/137.21 X931)) => 136.21/137.21 (subset( 136.21/137.21 X932, 136.21/137.21 setminus( 136.21/137.21 X931,X933)) => 136.21/137.21 subset( 136.21/137.21 X933, 136.21/137.21 setminus( 136.21/137.21 X931,X932))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X934, 136.21/137.21 X935]: 136.21/137.21 (in( 136.21/137.21 X935, 136.21/137.21 powerset( 136.21/137.21 X934)) => 136.21/137.21 (![X936]: 136.21/137.21 (in( 136.21/137.21 X936, 136.21/137.21 powerset( 136.21/137.21 X934)) => 136.21/137.21 in( 136.21/137.21 setminus( 136.21/137.21 X934, 136.21/137.21 binunion( 136.21/137.21 X935,X936)), 136.21/137.21 powerset( 136.21/137.21 setminus( 136.21/137.21 X934,X935))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X937, 136.21/137.21 X938]: 136.21/137.21 (breln1( 136.21/137.21 X937,X938) => 136.21/137.21 (![X939:( 136.21/137.21 $i > $o)]: 136.21/137.21 (( 136.21/137.21 ![X940]: 136.21/137.21 (in( 136.21/137.21 X940,X937) => 136.21/137.21 (![X941]: 136.21/137.21 (in( 136.21/137.21 X941,X937) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X940,X941), 136.21/137.21 X938) => 136.21/137.21 X939( 136.21/137.21 kpair( 136.21/137.21 X940,X941))))))) => 136.21/137.21 (![X942]: 136.21/137.21 (in( 136.21/137.21 X942,X938) => 136.21/137.21 X939( 136.21/137.21 X942))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X943, 136.21/137.21 X944]: 136.21/137.21 (in( 136.21/137.21 X944, 136.21/137.21 breln1Set( 136.21/137.21 X943)) => 136.21/137.21 breln1( 136.21/137.21 X943,X944))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X945, 136.21/137.21 X946, 136.21/137.21 X947:( 136.21/137.21 ($i * $i) > 136.21/137.21 $o)]: 136.21/137.21 (( 136.21/137.21 ![X948]: 136.21/137.21 (in( 136.21/137.21 X948,X945) => 136.21/137.21 (?[X949]: 136.21/137.21 (X947( 136.21/137.21 X948,X949) & 136.21/137.21 in( 136.21/137.21 X949,X946))))) => 136.21/137.21 (![X950]: 136.21/137.21 (in( 136.21/137.21 X950, 136.21/137.21 breln1Set( 136.21/137.21 X946)) => 136.21/137.21 (reflwellordering( 136.21/137.21 X946,X950) => 136.21/137.21 (![X951]: 136.21/137.21 (in( 136.21/137.21 X951,X945) => 136.21/137.21 singleton( 136.21/137.21 dsetconstr( 136.21/137.21 X946, 136.21/137.21 ^[V_53]: 136.21/137.21 (X947( 136.21/137.21 X951,V_53) & 136.21/137.21 (![X952]: 136.21/137.21 (in( 136.21/137.21 X952,X946) => 136.21/137.21 (X947( 136.21/137.21 X951,X952) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 V_53,X952), 136.21/137.21 X950)))))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X953, 136.21/137.21 X954:( 136.21/137.21 ($i * $i) > 136.21/137.21 $o)]: 136.21/137.21 breln1( 136.21/137.21 X953, 136.21/137.21 dpsetconstr( 136.21/137.21 X953, 136.21/137.21 X953, 136.21/137.21 ^[V_54, 136.21/137.21 V_55]: 136.21/137.21 X954( 136.21/137.21 V_54,V_55)))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X955, 136.21/137.21 X956]: 136.21/137.21 (breln1( 136.21/137.21 X955,X956) => 136.21/137.21 (![X957:( 136.21/137.21 $i > $o)]: 136.21/137.21 (( 136.21/137.21 ![X958]: 136.21/137.21 (in( 136.21/137.21 X958,X955) => 136.21/137.21 (![X959]: 136.21/137.21 (in( 136.21/137.21 X959,X955) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X958,X959), 136.21/137.21 X956) => 136.21/137.21 X957( 136.21/137.21 kpair( 136.21/137.21 X958,X959))))))) => 136.21/137.21 (![X960]: 136.21/137.21 (in( 136.21/137.21 X960,X956) => 136.21/137.21 X957( 136.21/137.21 X960))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X961, 136.21/137.21 X962]: 136.21/137.21 (breln1( 136.21/137.21 X961,X962) => 136.21/137.21 (![X963]: 136.21/137.21 (breln1( 136.21/137.21 X961,X963) => 136.21/137.21 (( 136.21/137.21 ![X964]: 136.21/137.21 (in( 136.21/137.21 X964,X961) => 136.21/137.21 (![X965]: 136.21/137.21 (in( 136.21/137.21 X965,X961) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X964,X965), 136.21/137.21 X962) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X964,X965), 136.21/137.21 X963)))))) => 136.21/137.21 subset( 136.21/137.21 X962,X963)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X966, 136.21/137.21 X967]: 136.21/137.21 (breln1( 136.21/137.21 X966,X967) => 136.21/137.21 (![X968]: 136.21/137.21 (breln1( 136.21/137.21 X966,X968) => 136.21/137.21 (( 136.21/137.21 ![X969]: 136.21/137.21 (in( 136.21/137.21 X969,X966) => 136.21/137.21 (![X970]: 136.21/137.21 (in( 136.21/137.21 X970,X966) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X969,X970), 136.21/137.21 X967) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X969,X970), 136.21/137.21 X968)))))) => 136.21/137.21 (( 136.21/137.21 ![X971]: 136.21/137.21 (in( 136.21/137.21 X971,X966) => 136.21/137.21 (![X972]: 136.21/137.21 (in( 136.21/137.21 X972,X966) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X971,X972), 136.21/137.21 X968) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X971,X972), 136.21/137.21 X967)))))) => 136.21/137.21 (X967 = 136.21/137.21 X968))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X973, 136.21/137.21 X974]: 136.21/137.21 (breln1( 136.21/137.21 X973,X974) => 136.21/137.21 breln1( 136.21/137.21 X973, 136.21/137.21 breln1invset( 136.21/137.21 X973,X974)))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X975, 136.21/137.21 X976]: 136.21/137.21 (breln1( 136.21/137.21 X975,X976) => 136.21/137.21 (![X977]: 136.21/137.21 (in( 136.21/137.21 X977,X975) => 136.21/137.21 (![X978]: 136.21/137.21 (in( 136.21/137.21 X978,X975) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X977,X978), 136.21/137.21 X976) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X978,X977), 136.21/137.21 breln1invset( 136.21/137.21 X975,X976))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X979, 136.21/137.21 X980]: 136.21/137.21 (breln1( 136.21/137.21 X979,X980) => 136.21/137.21 (![X981]: 136.21/137.21 (in( 136.21/137.21 X981,X979) => 136.21/137.21 (![X982]: 136.21/137.21 (in( 136.21/137.21 X982,X979) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X982,X981), 136.21/137.21 breln1invset( 136.21/137.21 X979,X980)) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X981,X982), 136.21/137.21 X980)))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X983, 136.21/137.21 X984]: 136.21/137.21 (breln1( 136.21/137.21 X983,X984) => 136.21/137.21 (![X985]: 136.21/137.21 (breln1( 136.21/137.21 X983,X985) => 136.21/137.21 breln1( 136.21/137.21 X983, 136.21/137.21 breln1compset( 136.21/137.21 X983, 136.21/137.21 X984,X985)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X986, 136.21/137.21 X987]: 136.21/137.21 (breln1( 136.21/137.21 X986,X987) => 136.21/137.21 (![X988]: 136.21/137.21 (breln1( 136.21/137.21 X986,X988) => 136.21/137.21 (![X989]: 136.21/137.21 (in( 136.21/137.21 X989,X986) => 136.21/137.21 (![X990]: 136.21/137.21 (in( 136.21/137.21 X990,X986) => 136.21/137.21 (![X991]: 136.21/137.21 (in( 136.21/137.21 X991,X986) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X989,X991), 136.21/137.21 X987) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X991,X990), 136.21/137.21 X988) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X989,X990), 136.21/137.21 breln1compset( 136.21/137.21 X986, 136.21/137.21 X987,X988)))))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X992, 136.21/137.21 X993]: 136.21/137.21 (breln1( 136.21/137.21 X992,X993) => 136.21/137.21 (![X994]: 136.21/137.21 (breln1( 136.21/137.21 X992,X994) => 136.21/137.21 (![X995]: 136.21/137.21 (in( 136.21/137.21 X995,X992) => 136.21/137.21 (![X996]: 136.21/137.21 (in( 136.21/137.21 X996,X992) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X995,X996), 136.21/137.21 breln1compset( 136.21/137.21 X992, 136.21/137.21 X993,X994)) => 136.21/137.21 (?[X997]: 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X997,X996), 136.21/137.21 X994) & 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X995,X997), 136.21/137.21 X993) & 136.21/137.21 in( 136.21/137.21 X997,X992)))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X998, 136.21/137.21 X999]: 136.21/137.21 (breln1( 136.21/137.21 X998,X999) => 136.21/137.21 (![X1000]: 136.21/137.21 (breln1( 136.21/137.21 X998, 136.21/137.21 X1000) => 136.21/137.21 (![X1001]: 136.21/137.21 (in( 136.21/137.21 X1001, 136.21/137.21 X998) => 136.21/137.21 (![X1002]: 136.21/137.21 (in( 136.21/137.21 X1002, 136.21/137.21 X998) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X1001, 136.21/137.21 X1002), 136.21/137.21 breln1compset( 136.21/137.21 X998, 136.21/137.21 X999, 136.21/137.21 X1000)) => 136.21/137.21 (![X1003:$o]: 136.21/137.21 (( 136.21/137.21 ![X1004]: 136.21/137.21 (in( 136.21/137.21 X1004, 136.21/137.21 X998) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X1001, 136.21/137.21 X1004), 136.21/137.21 X999) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X1004, 136.21/137.21 X1002), 136.21/137.21 X1000) => 136.21/137.21 X1003)))) => 136.21/137.21 X1003))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X1005, 136.21/137.21 X1006]: 136.21/137.21 (breln1( 136.21/137.21 X1005, 136.21/137.21 X1006) => 136.21/137.21 (![X1007]: 136.21/137.21 (breln1( 136.21/137.21 X1005, 136.21/137.21 X1007) => 136.21/137.21 breln1( 136.21/137.21 X1005, 136.21/137.21 binunion( 136.21/137.21 X1006, 136.21/137.21 X1007)))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X1008, 136.21/137.21 X1009]: 136.21/137.21 (breln1( 136.21/137.21 X1008, 136.21/137.21 X1009) => 136.21/137.21 (![X1010]: 136.21/137.21 (breln1( 136.21/137.21 X1008, 136.21/137.21 X1010) => 136.21/137.21 (![X1011]: 136.21/137.21 (in( 136.21/137.21 X1011, 136.21/137.21 X1008) => 136.21/137.21 (![X1012]: 136.21/137.21 (in( 136.21/137.21 X1012, 136.21/137.21 X1008) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X1011, 136.21/137.21 X1012), 136.21/137.21 X1009) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X1011, 136.21/137.21 X1012), 136.21/137.21 binunion( 136.21/137.21 X1009, 136.21/137.21 X1010))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X1013, 136.21/137.21 X1014]: 136.21/137.21 (breln1( 136.21/137.21 X1013, 136.21/137.21 X1014) => 136.21/137.21 (![X1015]: 136.21/137.21 (breln1( 136.21/137.21 X1013, 136.21/137.21 X1015) => 136.21/137.21 (![X1016]: 136.21/137.21 (in( 136.21/137.21 X1016, 136.21/137.21 X1013) => 136.21/137.21 (![X1017]: 136.21/137.21 (in( 136.21/137.21 X1017, 136.21/137.21 X1013) => 136.21/137.21 (in( 136.21/137.21 kpair( 136.21/137.21 X1016, 136.21/137.21 X1017), 136.21/137.21 X1015) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X1016, 136.21/137.21 X1017), 136.21/137.21 binunion( 136.21/137.21 X1014, 136.21/137.21 X1015))))))))))) => 136.21/137.21 ( 136.21/137.21 ( 136.21/137.21 ![X1018, 136.21/137.21 X1019]: 136.21/137.21 (breln1( 136.21/137.21 X1018, 136.21/137.21 X1019) => 136.21/137.21 (![X1020]: 136.21/137.21 (breln1( 136.21/137.21 X1018, 136.21/137.21 X1020) => 136.21/137.21 (![X1021]: 136.21/137.21 (in( 136.21/137.21 X1021, 136.21/137.21 X1018) => 136.21/137.21 (![X1022]: 136.21/137.21 (in( 136.21/137.21 X1022, 136.21/137.21 X1018) => 136.21/137.21 (( 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X1021, 136.21/137.21 X1022), 136.21/137.21 X1020) | 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X1021, 136.21/137.21 X1022), 136.21/137.21 X1019)) => 136.21/137.21 in( 136.21/137.21 kpair( 136.21/137.21 X1021, 136.21/137.21 X1022), 136.21/137.21 binunion( 136.21/137.21 X1019, 136.21/137.21 X1020))))))))))) => 136.21/137.21 ( 136.21/137.21 ![X1023, 136.21/137.21 X1024]: 136.21/137.21 (breln1( 136.21/137.21 X1023, 136.21/137.21 X1024) => 136.21/137.21 (![X1025]: 136.21/137.21 (breln1( 136.21/137.21 X1023, 136.21/137.21 X1025) => 136.21/137.21 (![X1026]: 136.21/137.21 (in( 136.21/137.21 X1026, 136.21/137.21 X1023) => 136.21/137.21 (![X1027]: 136.21/137.22 (in( 136.21/137.22 X1027, 136.21/137.22 X1023) => 136.21/137.22 (in( 136.21/137.22 kpair( 136.21/137.22 X1026, 136.21/137.22 X1027), 136.21/137.22 binunion( 136.21/137.22 X1024, 136.21/137.22 X1025)) => 136.21/137.22 (in( 136.21/137.22 kpair( 136.21/137.22 X1026, 136.21/137.22 X1027), 136.21/137.22 X1024) | 136.21/137.22 in( 136.21/137.22 kpair( 136.21/137.22 X1026, 136.21/137.22 X1027), 136.21/137.22 X1025))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 136.21/137.22 tff('304', plain, 136.21/137.22 in(kpair(sk_X1026_, sk_X1027_), binunion(sk_X1024_, sk_X1025_)), 136.21/137.22 inference('cnf', [status(esa)], [zf_stmt_14])). 136.21/137.22 tff('305', plain, 136.21/137.22 ![X1168, X1169, X1170]: 136.21/137.22 (in(X1168, X1169) 136.21/137.22 | in(X1168, X1170) 136.21/137.22 | ~ in(X1168, binunion(X1169, X1170))), 136.21/137.22 inference('cnf', [status(esa)], [zf_stmt_14])). 136.21/137.22 tff('306', plain, 136.21/137.22 (in(kpair(sk_X1026_, sk_X1027_), sk_X1025_) 136.21/137.22 | in(kpair(sk_X1026_, sk_X1027_), sk_X1024_)), 136.21/137.22 inference('sup-', [status(thm)], ['304', '305'])). 136.21/137.22 tff('307', plain, ~ in(kpair(sk_X1026_, sk_X1027_), sk_X1025_), 136.21/137.22 inference('cnf', [status(esa)], [zf_stmt_14])). 136.21/137.22 tff('308', plain, in(kpair(sk_X1026_, sk_X1027_), sk_X1024_), 136.21/137.22 inference('clc', [status(thm)], ['306', '307'])). 136.21/137.22 tff('309', plain, ~ in(kpair(sk_X1026_, sk_X1027_), sk_X1024_), 136.21/137.22 inference('cnf', [status(esa)], [zf_stmt_14])). 136.21/137.22 tff('310', plain, $false, inference('sup-', [status(thm)], ['308', '309'])). 136.21/137.22 136.21/137.22 % SZS output end Refutation 136.21/137.22 % Zipperpin 1.5 exiting 136.21/137.22 EOF