0.07/0.13 % Problem : theBenchmark.p : TPTP v0.0.0. Released v0.0.0. 0.07/0.13 % Command : run_portfolio.sh /export/starexec/sandbox2/benchmark/theBenchmark.p /export/starexec/sandbox2/tmp/tmp.sBKJadYAto 0.14/0.34 % Computer : n022.cluster.edu 0.14/0.34 % Model : x86_64 x86_64 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz 0.14/0.34 % Memory : 8042.1875MB 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 0.14/0.34 % CPULimit : 180 0.14/0.34 % DateTime : Thu Aug 29 15:21:13 EDT 2019 0.14/0.35 % CPUTime : 38.41/38.87 % Running portfolio for 180 s 38.41/38.87 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p 38.41/38.87 % TempDir : /export/starexec/sandbox2/tmp/tmp.sBKJadYAto 38.41/38.87 % Recognized as monomorphic HO. 38.41/38.87 % Running /export/starexec/sandbox2/solver/bin/competitive.sh for 18 38.41/38.87 % Running /export/starexec/sandbox2/solver/bin/competitive.2.sh for 13 38.41/38.87 % Running /export/starexec/sandbox2/solver/bin/competitive.3.sh for 3 38.41/38.87 % Running /export/starexec/sandbox2/solver/bin/pragmatic.rudimentary.sh for 28 38.41/38.87 % Solved by: pragmatic.rudimentary.sh 38.41/38.87 % done 2998 iterations in 4.301s 38.41/38.87 % hashcons stats for terms: size 4096, num 26567, sum length 39846, buckets: small 3, median 7, big 22 38.41/38.87 % proof state stats: {active 775, passive 20360, simpl 0} 38.41/38.87 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p' 38.41/38.87 % SZS output start Refutation 38.41/38.87 tff(breln1invI, axiom, breln1invI <=> 38.41/38.87 (![A,R]: 38.41/38.87 (breln1(A,R) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => 38.41/38.87 (in(kpair(Xx,Xy),R) => in(kpair(Xy,Xx),breln1invset(A,R)))))))))). 38.41/38.87 tff('0', plain, 38.41/38.87 breln1invI = 38.41/38.87 (![X2,X3]: 38.41/38.87 (breln1(X2,X3) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(kpair(X4,X5),X3) => in(kpair(X5,X4),breln1invset(X2,X3))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(breln1invprop, axiom, breln1invprop <=> 38.41/38.87 (![A,R]: (breln1(A,R) => breln1(A,breln1invset(A,R))))). 38.41/38.87 tff('1', plain, 38.41/38.87 breln1invprop = 38.41/38.87 (![X2,X3]: (breln1(X2,X3) => breln1(X2,breln1invset(X2,X3)))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(breln1invset, axiom, breln1invset() = 38.41/38.87 ^[A,R]: dpsetconstr(A,A,^[Xx,Xy]: in(kpair(Xy,Xx),R))). 38.41/38.87 tff('2', plain, 38.41/38.87 breln1invset = 38.41/38.87 (^[V_1,V_2]: dpsetconstr(V_1,V_1,^[V_3,V_4]: in(kpair(V_4,V_3),V_2))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(eqbreln1, axiom, eqbreln1 <=> 38.41/38.87 (![A,R]: 38.41/38.87 (breln1(A,R) => 38.41/38.87 (![S]: 38.41/38.87 (breln1(A,S) => 38.41/38.87 ((![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 38.41/38.87 ((![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 38.41/38.87 (R = S)))))))). 38.41/38.87 tff('3', plain, 38.41/38.87 eqbreln1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (breln1(X2,X3) => 38.41/38.87 (![X4]: 38.41/38.87 (breln1(X2,X4) => 38.41/38.87 ((![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,X2) => 38.41/38.87 (in(kpair(X5,X6),X3) => in(kpair(X5,X6),X4)))))) => 38.41/38.87 ((![X7]: 38.41/38.87 (in(X7,X2) => 38.41/38.87 (![X8]: 38.41/38.87 (in(X8,X2) => 38.41/38.87 (in(kpair(X7,X8),X4) => in(kpair(X7,X8),X3)))))) => 38.41/38.87 (X3 = X4))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(subbreln1, axiom, subbreln1 <=> 38.41/38.87 (![A,R]: 38.41/38.87 (breln1(A,R) => 38.41/38.87 (![S]: 38.41/38.87 (breln1(A,S) => 38.41/38.87 ((![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 38.41/38.87 subset(R,S))))))). 38.41/38.87 tff('4', plain, 38.41/38.87 subbreln1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (breln1(X2,X3) => 38.41/38.87 (![X4]: 38.41/38.87 (breln1(X2,X4) => 38.41/38.87 ((![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,X2) => 38.41/38.87 (in(kpair(X5,X6),X3) => in(kpair(X5,X6),X4)))))) => 38.41/38.87 subset(X3,X4)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(breln1all1, axiom, breln1all1 <=> 38.41/38.87 (![A,R]: 38.41/38.87 (breln1(A,R) => 38.41/38.87 (![Xphi:($i > $o)]: 38.41/38.87 ((![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 38.41/38.87 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 38.41/38.87 tff('5', plain, 38.41/38.87 breln1all1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (breln1(X2,X3) => 38.41/38.87 (![X4:($i > $o)]: 38.41/38.87 ((![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,X2) => (in(kpair(X5,X6),X3) => X4(kpair(X5,X6))))))) => 38.41/38.87 (![X7]: (in(X7,X3) => X4(X7))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(setOfPairsIsBReln1, axiom, setOfPairsIsBReln1 <=> 38.41/38.87 (![A,Xphi:(($i * $i) > $o)]: 38.41/38.87 breln1(A,dpsetconstr(A,A,^[Xx,Xy]: Xphi(Xx,Xy))))). 38.41/38.87 tff('6', plain, 38.41/38.87 setOfPairsIsBReln1 = 38.41/38.87 (![X2,X3:(($i * $i) > $o)]: 38.41/38.87 breln1(X2,dpsetconstr(X2,X2,^[V_1,V_2]: X3(V_1,V_2)))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(choice2fnsingleton, axiom, choice2fnsingleton <=> 38.41/38.87 (![A,B,Xphi:(($i * $i) > $o)]: 38.41/38.87 ((![Xx]: (in(Xx,A) => (?[Xy]: (Xphi(Xx,Xy) & in(Xy,B))))) => 38.41/38.87 (![R]: 38.41/38.87 (in(R,breln1Set(B)) => 38.41/38.87 (reflwellordering(B,R) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 singleton(dsetconstr(B, 38.41/38.87 ^[Xy]: 38.41/38.87 ((![Xz]: 38.41/38.87 (in(Xz,B) => 38.41/38.87 (Xphi(Xx,Xz) => in(kpair(Xy,Xz),R)))) & 38.41/38.87 Xphi(Xx,Xy)))))))))))). 38.41/38.87 tff('7', plain, 38.41/38.87 choice2fnsingleton = 38.41/38.87 (![X2,X3,X4:(($i * $i) > $o)]: 38.41/38.87 ((![X5]: (in(X5,X2) => (?[X6]: (X4(X5,X6) & in(X6,X3))))) => 38.41/38.87 (![X7]: 38.41/38.87 (in(X7,breln1Set(X3)) => 38.41/38.87 (reflwellordering(X3,X7) => 38.41/38.87 (![X8]: 38.41/38.87 (in(X8,X2) => 38.41/38.87 singleton(dsetconstr(X3, 38.41/38.87 ^[V_1]: 38.41/38.87 ((![X9]: 38.41/38.87 (in(X9,X3) => 38.41/38.87 (X4(X8,X9) => 38.41/38.87 in(kpair(V_1,X9),X7)))) & 38.41/38.87 X4(X8,V_1))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(breln1SetBreln1, axiom, breln1SetBreln1 <=> 38.41/38.87 (![A,R]: (in(R,breln1Set(A)) => breln1(A,R)))). 38.41/38.87 tff('8', plain, 38.41/38.87 breln1SetBreln1 = (![X2,X3]: (in(X3,breln1Set(X2)) => breln1(X2,X3))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(breln1all2, axiom, breln1all2 <=> 38.41/38.87 (![A,R]: 38.41/38.87 (breln1(A,R) => 38.41/38.87 (![Xphi:($i > $o)]: 38.41/38.87 ((![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 38.41/38.87 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 38.41/38.87 tff('9', plain, 38.41/38.87 breln1all2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (breln1(X2,X3) => 38.41/38.87 (![X4:($i > $o)]: 38.41/38.87 ((![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,X2) => (in(kpair(X5,X6),X3) => X4(kpair(X5,X6))))))) => 38.41/38.87 (![X7]: (in(X7,X3) => X4(X7))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(breln1, axiom, breln1() = ^[A,R]: breln(A,A,R)). 38.41/38.87 tff('10', plain, breln1 = (^[V_1,V_2]: breln(V_1,V_1,V_2)), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz1_5, axiom, woz1_5 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 38.41/38.87 tff('11', plain, 38.41/38.87 woz1_5 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 in(setminus(X2,binunion(X3,X4)),powerset(setminus(X2,X3))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz1_4, axiom, woz1_4 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 38.41/38.87 tff('12', plain, 38.41/38.87 woz1_4 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (subset(X3,setminus(X2,X4)) => subset(X4,setminus(X2,X3))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz1_3, axiom, woz1_3 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 in(binintersect(X,Y), 38.41/38.87 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 38.41/38.87 tff('13', plain, 38.41/38.87 woz1_3 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 in(binintersect(X3,X4), 38.41/38.87 powerset(binintersect(binunion(X3,X5),binunion(X4,X5)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz1_2, axiom, woz1_2 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (![W]: 38.41/38.87 (in(W,powerset(A)) => 38.41/38.87 (setminus(A,binintersect(binunion(X,Y),binunion(Z,W))) = 38.41/38.87 binunion(binintersect(setminus(A,X),setminus(A,Y)), 38.41/38.87 binintersect(setminus(A,Z),setminus(A,W))))))))))))). 38.41/38.87 tff('14', plain, 38.41/38.87 woz1_2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,powerset(X2)) => 38.41/38.87 (setminus(X2, 38.41/38.87 binintersect(binunion(X3,X4),binunion(X5,X6))) = 38.41/38.87 binunion(binintersect(setminus(X2,X3),setminus(X2,X4)), 38.41/38.87 binintersect(setminus(X2,X5),setminus(X2,X6)))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz1_1, axiom, woz1_1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 38.41/38.87 tff('15', plain, 38.41/38.87 woz1_1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 in(setminus(X2,X3),powerset(setminus(X2,binintersect(X3,X4)))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz13rule4, axiom, woz13rule4 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (![W]: 38.41/38.87 (in(W,powerset(A)) => 38.41/38.87 (subset(X,Z) => 38.41/38.87 (subset(Y,W) => 38.41/38.87 subset(binintersect(X,Y),binintersect(Z,W))))))))))))). 38.41/38.87 tff('16', plain, 38.41/38.87 woz13rule4 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,powerset(X2)) => 38.41/38.87 (subset(X3,X5) => 38.41/38.87 (subset(X4,X6) => 38.41/38.87 subset(binintersect(X3,X4),binintersect(X5,X6)))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz13rule3, axiom, woz13rule3 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (subset(X,Y) => (subset(X,Z) => subset(X,binintersect(Y,Z))))))))))). 38.41/38.87 tff('17', plain, 38.41/38.87 woz13rule3 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (subset(X3,X4) => 38.41/38.87 (subset(X3,X5) => subset(X3,binintersect(X4,X5)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz13rule2, axiom, woz13rule2 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (subset(Y,Z) => subset(binintersect(X,Y),Z))))))))). 38.41/38.87 tff('18', plain, 38.41/38.87 woz13rule2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (subset(X4,X5) => subset(binintersect(X3,X4),X5)))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz13rule1, axiom, woz13rule1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (subset(X,Z) => subset(binintersect(X,Y),Z))))))))). 38.41/38.87 tff('19', plain, 38.41/38.87 woz13rule1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (subset(X3,X5) => subset(binintersect(X3,X4),X5)))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(woz13rule0, axiom, woz13rule0 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,binintersect(X,Y)) => in(Xx,A)))))))). 38.41/38.87 tff('20', plain, 38.41/38.87 woz13rule0 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: (in(X5,binintersect(X3,X4)) => in(X5,X2))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan2, axiom, demorgan2 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (setminus(A,binunion(X,Y)) = 38.41/38.87 binintersect(setminus(A,X),setminus(A,Y)))))))). 38.41/38.87 tff('21', plain, 38.41/38.87 demorgan2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (setminus(X2,binunion(X3,X4)) = 38.41/38.87 binintersect(setminus(X2,X3),setminus(X2,X4))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan2b, axiom, demorgan2b <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,binintersect(setminus(A,X),setminus(A,Y))) => 38.41/38.87 in(Xx,setminus(A,binunion(X,Y))))))))))). 38.41/38.87 tff('22', plain, 38.41/38.87 demorgan2b = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,binintersect(setminus(X2,X3),setminus(X2,X4))) => 38.41/38.87 in(X5,setminus(X2,binunion(X3,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan2b2, axiom, demorgan2b2 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,X)) => 38.41/38.87 (in(Xx,setminus(A,Y)) => in(Xx,setminus(A,binunion(X,Y)))))))))))). 38.41/38.87 tff('23', plain, 38.41/38.87 demorgan2b2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,X3)) => 38.41/38.87 (in(X5,setminus(X2,X4)) => 38.41/38.87 in(X5,setminus(X2,binunion(X3,X4))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan2a, axiom, demorgan2a <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,binunion(X,Y))) => 38.41/38.87 in(Xx,binintersect(setminus(A,X),setminus(A,Y))))))))))). 38.41/38.87 tff('24', plain, 38.41/38.87 demorgan2a = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,binunion(X3,X4))) => 38.41/38.87 in(X5,binintersect(setminus(X2,X3),setminus(X2,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan1, axiom, demorgan1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (setminus(A,binintersect(X,Y)) = 38.41/38.87 binunion(setminus(A,X),setminus(A,Y)))))))). 38.41/38.87 tff('25', plain, 38.41/38.87 demorgan1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (setminus(X2,binintersect(X3,X4)) = 38.41/38.87 binunion(setminus(X2,X3),setminus(X2,X4))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan1b, axiom, demorgan1b <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,binunion(setminus(A,X),setminus(A,Y))) => 38.41/38.87 in(Xx,setminus(A,binintersect(X,Y))))))))))). 38.41/38.87 tff('26', plain, 38.41/38.87 demorgan1b = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,binunion(setminus(X2,X3),setminus(X2,X4))) => 38.41/38.87 in(X5,setminus(X2,binintersect(X3,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan1a, axiom, demorgan1a <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,binintersect(X,Y))) => 38.41/38.87 in(Xx,binunion(setminus(A,X),setminus(A,Y))))))))))). 38.41/38.87 tff('27', plain, 38.41/38.87 demorgan1a = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,binintersect(X3,X4))) => 38.41/38.87 in(X5,binunion(setminus(X2,X3),setminus(X2,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan2a2, axiom, demorgan2a2 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,Y)))))))))). 38.41/38.87 tff('28', plain, 38.41/38.87 demorgan2a2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,binunion(X3,X4))) => 38.41/38.87 in(X5,setminus(X2,X4))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementUnionInPowersetComplement, axiom, 38.41/38.87 complementUnionInPowersetComplement <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 in(setminus(A,binunion(X,Y)),powerset(setminus(A,X)))))))). 38.41/38.87 tff('29', plain, 38.41/38.87 complementUnionInPowersetComplement = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 in(setminus(X2,binunion(X3,X4)),powerset(setminus(X2,X3))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(demorgan2a1, axiom, demorgan2a1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 38.41/38.87 tff('30', plain, 38.41/38.87 demorgan2a1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,binunion(X3,X4))) => 38.41/38.87 in(X5,setminus(X2,X3))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binunionTEcontra, axiom, binunionTEcontra <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 ((~in(Xx,X)) => ((~in(Xx,Y)) => (~in(Xx,binunion(X,Y)))))))))))). 38.41/38.87 tff('31', plain, 38.41/38.87 binunionTEcontra = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 ((~in(X5,X3)) => ((~in(X5,X4)) => (~in(X5,binunion(X3,X4))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binunionTE, axiom, binunionTE <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,binunion(X,Y)) => 38.41/38.87 ((in(Xx,X) => Xphi) => ((in(Xx,Y) => Xphi) => Xphi)))))))))). 38.41/38.87 tff('32', plain, 38.41/38.87 binunionTE = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5:$o,X6]: 38.41/38.87 (in(X6,X2) => 38.41/38.87 (in(X6,binunion(X3,X4)) => 38.41/38.87 ((in(X6,X3) => X5) => ((in(X6,X4) => X5) => X5))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(inComplementUnionImpInComplement1, axiom, 38.41/38.87 inComplementUnionImpInComplement1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,binunion(X,Y))) => in(Xx,setminus(A,X)))))))))). 38.41/38.87 tff('33', plain, 38.41/38.87 inComplementUnionImpInComplement1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,binunion(X3,X4))) => 38.41/38.87 in(X5,setminus(X2,X3))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(inComplementUnionImpNotIn1, axiom, inComplementUnionImpNotIn1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => (in(Xx,setminus(A,binunion(X,Y))) => (~in(Xx,X)))))))))). 38.41/38.87 tff('34', plain, 38.41/38.87 inComplementUnionImpNotIn1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,binunion(X3,X4))) => (~in(X5,X3))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(intersectInPowersetIntersectUnions, axiom, 38.41/38.87 intersectInPowersetIntersectUnions <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 in(binintersect(X,Y), 38.41/38.87 powerset(binintersect(binunion(X,Z),binunion(Y,Z))))))))))). 38.41/38.87 tff('35', plain, 38.41/38.87 intersectInPowersetIntersectUnions = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 in(binintersect(X3,X4), 38.41/38.87 powerset(binintersect(binunion(X3,X5),binunion(X4,X5)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(inIntersectImpInIntersectUnions, axiom, 38.41/38.87 inIntersectImpInIntersectUnions <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,binintersect(X,Y)) => 38.41/38.87 in(Xx,binintersect(binunion(X,Z),binunion(Y,Z))))))))))))). 38.41/38.87 tff('36', plain, 38.41/38.87 inIntersectImpInIntersectUnions = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,X2) => 38.41/38.87 (in(X6,binintersect(X3,X4)) => 38.41/38.87 in(X6,binintersect(binunion(X3,X5),binunion(X4,X5)))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(inIntersectImpInUnion2, axiom, inIntersectImpInUnion2 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(Y,Z)))))))))))). 38.41/38.87 tff('37', plain, 38.41/38.87 inIntersectImpInUnion2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,X2) => 38.41/38.87 (in(X6,binintersect(X3,X4)) => in(X6,binunion(X4,X5))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(inIntersectImpInUnion, axiom, inIntersectImpInUnion <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Z]: 38.41/38.87 (in(Z,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,binintersect(X,Y)) => in(Xx,binunion(X,Z)))))))))))). 38.41/38.87 tff('38', plain, 38.41/38.87 inIntersectImpInUnion = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,powerset(X2)) => 38.41/38.87 (![X6]: 38.41/38.87 (in(X6,X2) => 38.41/38.87 (in(X6,binintersect(X3,X4)) => in(X6,binunion(X3,X5))))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binunionTIRcontra, axiom, binunionTIRcontra <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,Y)))))))))). 38.41/38.87 tff('39', plain, 38.41/38.87 binunionTIRcontra = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X4))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binunionTILcontra, axiom, binunionTILcontra <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => ((~in(Xx,binunion(X,Y))) => (~in(Xx,X)))))))))). 38.41/38.87 tff('40', plain, 38.41/38.87 binunionTILcontra = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => ((~in(X5,binunion(X3,X4))) => (~in(X5,X3))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementTcontraSubset, axiom, complementTcontraSubset <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (subset(X,setminus(A,Y)) => subset(Y,setminus(A,X)))))))). 38.41/38.87 tff('41', plain, 38.41/38.87 complementTcontraSubset = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (subset(X3,setminus(X2,X4)) => subset(X4,setminus(X2,X3))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(contraSubsetComplement, axiom, contraSubsetComplement <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (subset(X,setminus(A,Y)) => 38.41/38.87 (![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,setminus(A,X))))))))))). 38.41/38.87 tff('42', plain, 38.41/38.87 contraSubsetComplement = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (subset(X3,setminus(X2,X4)) => 38.41/38.87 (![X5]: (in(X5,X2) => (in(X5,X4) => in(X5,setminus(X2,X3)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementInPowersetComplementIntersect, axiom, 38.41/38.87 complementInPowersetComplementIntersect <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 in(setminus(A,X),powerset(setminus(A,binintersect(X,Y))))))))). 38.41/38.87 tff('43', plain, 38.41/38.87 complementInPowersetComplementIntersect = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 in(setminus(X2,X3),powerset(setminus(X2,binintersect(X3,X4)))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementSubsetComplementIntersect, axiom, 38.41/38.87 complementSubsetComplementIntersect <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 subset(setminus(A,X),setminus(A,binintersect(X,Y)))))))). 38.41/38.87 tff('44', plain, 38.41/38.87 complementSubsetComplementIntersect = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 subset(setminus(X2,X3),setminus(X2,binintersect(X3,X4))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementImpComplementIntersect, axiom, 38.41/38.87 complementImpComplementIntersect <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,X)) => in(Xx,setminus(A,binintersect(X,Y))))))))))). 38.41/38.87 tff('45', plain, 38.41/38.87 complementImpComplementIntersect = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,X3)) => 38.41/38.87 in(X5,setminus(X2,binintersect(X3,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementTnotintersectT, axiom, complementTnotintersectT <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (in(Xx,setminus(A,X)) => (~in(Xx,binintersect(X,Y))))))))))). 38.41/38.87 tff('46', plain, 38.41/38.87 complementTnotintersectT = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X5,setminus(X2,X3)) => (~in(X5,binintersect(X3,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(doubleComplementEq, axiom, doubleComplementEq <=> 38.41/38.87 (![A,X]: (in(X,powerset(A)) => (X = setminus(A,setminus(A,X)))))). 38.41/38.87 tff('47', plain, 38.41/38.87 doubleComplementEq = 38.41/38.87 (![X2,X3]: (in(X3,powerset(X2)) => (X3 = setminus(X2,setminus(X2,X3))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(doubleComplementSub2, axiom, doubleComplementSub2 <=> 38.41/38.87 (![A,X]: (in(X,powerset(A)) => subset(setminus(A,setminus(A,X)),X)))). 38.41/38.87 tff('48', plain, 38.41/38.87 doubleComplementSub2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => subset(setminus(X2,setminus(X2,X3)),X3))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(doubleComplementSub1, axiom, doubleComplementSub1 <=> 38.41/38.87 (![A,X]: (in(X,powerset(A)) => subset(X,setminus(A,setminus(A,X)))))). 38.41/38.87 tff('49', plain, 38.41/38.87 doubleComplementSub1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => subset(X3,setminus(X2,setminus(X2,X3))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(doubleComplementE1, axiom, doubleComplementE1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => (in(Xx,setminus(A,setminus(A,X))) => in(Xx,X))))))). 38.41/38.87 tff('50', plain, 38.41/38.87 doubleComplementE1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,X2) => (in(X4,setminus(X2,setminus(X2,X3))) => in(X4,X3)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(doubleComplementI1, axiom, doubleComplementI1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,setminus(A,setminus(A,X))))))))). 38.41/38.87 tff('51', plain, 38.41/38.87 doubleComplementI1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,X2) => (in(X4,X3) => in(X4,setminus(X2,setminus(X2,X3)))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(contrasubsetT3, axiom, contrasubsetT3 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (subset(setminus(A,Y),setminus(A,X)) => subset(X,Y))))))). 38.41/38.87 tff('52', plain, 38.41/38.87 contrasubsetT3 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (subset(setminus(X2,X4),setminus(X2,X3)) => subset(X3,X4)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(contrasubsetT2, axiom, contrasubsetT2 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (subset(X,Y) => subset(setminus(A,Y),setminus(A,X)))))))). 38.41/38.87 tff('53', plain, 38.41/38.87 contrasubsetT2 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (subset(X3,X4) => subset(setminus(X2,X4),setminus(X2,X3))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(contrasubsetT1, axiom, contrasubsetT1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => (subset(X,Y) => ((~in(Xx,Y)) => (~in(Xx,X))))))))))). 38.41/38.87 tff('54', plain, 38.41/38.87 contrasubsetT1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (subset(X3,X4) => ((~in(X5,X4)) => (~in(X5,X3)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(contrasubsetT, axiom, contrasubsetT <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (subset(X,setminus(A,Y)) => (in(Xx,Y) => (~in(Xx,X))))))))))). 38.41/38.87 tff('55', plain, 38.41/38.87 contrasubsetT = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (subset(X3,setminus(X2,X4)) => (in(X5,X4) => (~in(X5,X3)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binintersectTERcontra, axiom, binintersectTERcontra <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => ((~in(Xx,Y)) => (~in(Xx,binintersect(X,Y))))))))))). 38.41/38.87 tff('56', plain, 38.41/38.87 binintersectTERcontra = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => ((~in(X5,X4)) => (~in(X5,binintersect(X3,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binintersectTELcontra, axiom, binintersectTELcontra <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => ((~in(Xx,X)) => (~in(Xx,binintersect(X,Y))))))))))). 38.41/38.87 tff('57', plain, 38.41/38.87 binintersectTELcontra = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => ((~in(X5,X3)) => (~in(X5,binintersect(X3,X4)))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementTE1, axiom, complementTE1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => ((~in(Xx,setminus(A,X))) => in(Xx,X))))))). 38.41/38.87 tff('58', plain, 38.41/38.87 complementTE1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: (in(X4,X2) => ((~in(X4,setminus(X2,X3))) => in(X4,X3)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementTI1, axiom, complementTI1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => (in(Xx,X) => (~in(Xx,setminus(A,X))))))))). 38.41/38.87 tff('59', plain, 38.41/38.87 complementTI1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,setminus(X2,X3)))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(powersetTE1, axiom, powersetTE1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 (![Xx]: (in(Xx,A) => (in(X,powerset(Y)) => (in(Xx,X) => in(Xx,Y)))))))))). 38.41/38.87 tff('60', plain, 38.41/38.87 powersetTE1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (in(X3,powerset(X4)) => (in(X5,X3) => in(X5,X4))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(powersetTI1, axiom, powersetTI1 <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => in(X,powerset(Y)))))))). 38.41/38.87 tff('61', plain, 38.41/38.87 powersetTI1 = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 38.41/38.87 in(X3,powerset(X4))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(subsetTI, axiom, subsetTI <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => subset(X,Y))))))). 38.41/38.87 tff('62', plain, 38.41/38.87 subsetTI = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 38.41/38.87 subset(X3,X4)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(setextT, axiom, setextT <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: 38.41/38.87 (in(Y,powerset(A)) => 38.41/38.87 ((![Xx]: (in(Xx,A) => (in(Xx,X) => in(Xx,Y)))) => 38.41/38.87 ((![Xx]: (in(Xx,A) => (in(Xx,Y) => in(Xx,X)))) => (X = Y)))))))). 38.41/38.87 tff('63', plain, 38.41/38.87 setextT = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: 38.41/38.87 (in(X4,powerset(X2)) => 38.41/38.87 ((![X5]: (in(X5,X2) => (in(X5,X3) => in(X5,X4)))) => 38.41/38.87 ((![X6]: (in(X6,X2) => (in(X6,X4) => in(X6,X3)))) => (X3 = X4))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(complementT_lem, axiom, complementT_lem <=> 38.41/38.87 (![A,X]: (in(X,powerset(A)) => in(setminus(A,X),powerset(A))))). 38.41/38.87 tff('64', plain, 38.41/38.87 complementT_lem = 38.41/38.87 (![X2,X3]: (in(X3,powerset(X2)) => in(setminus(X2,X3),powerset(X2)))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(setminusT_lem, axiom, setminusT_lem <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: (in(Y,powerset(A)) => in(setminus(X,Y),powerset(A))))))). 38.41/38.87 tff('65', plain, 38.41/38.87 setminusT_lem = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: (in(X4,powerset(X2)) => in(setminus(X3,X4),powerset(X2)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(powersetT_lem, axiom, powersetT_lem <=> 38.41/38.87 (![A,X]: (in(X,powerset(A)) => in(powerset(X),powerset(powerset(A)))))). 38.41/38.87 tff('66', plain, 38.41/38.87 powersetT_lem = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => in(powerset(X3),powerset(powerset(X2))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binunionT_lem, axiom, binunionT_lem <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: (in(Y,powerset(A)) => in(binunion(X,Y),powerset(A))))))). 38.41/38.87 tff('67', plain, 38.41/38.87 binunionT_lem = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: (in(X4,powerset(X2)) => in(binunion(X3,X4),powerset(X2)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(binintersectT_lem, axiom, binintersectT_lem <=> 38.41/38.87 (![A,X]: 38.41/38.87 (in(X,powerset(A)) => 38.41/38.87 (![Y]: (in(Y,powerset(A)) => in(binintersect(X,Y),powerset(A))))))). 38.41/38.87 tff('68', plain, 38.41/38.87 binintersectT_lem = 38.41/38.87 (![X2,X3]: 38.41/38.87 (in(X3,powerset(X2)) => 38.41/38.87 (![X4]: (in(X4,powerset(X2)) => in(binintersect(X3,X4),powerset(X2)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(iftrueorfalse, axiom, iftrueorfalse <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => 38.41/38.87 in(if(A,Xphi,Xx,Xy),setadjoin(Xx,setadjoin(Xy,emptyset)))))))). 38.41/38.87 tff('69', plain, 38.41/38.87 iftrueorfalse = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 in(if(X2,X3,X4,X5),setadjoin(X4,setadjoin(X5,emptyset))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(iffalse, axiom, iffalse <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => (![Xy]: (in(Xy,A) => ((~Xphi) => (if(A,Xphi,Xx,Xy) = Xy))))))). 38.41/38.87 tff('70', plain, 38.41/38.87 iffalse = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: (in(X5,X2) => ((~X3) => (if(X2,X3,X4,X5) = X5)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(iftrue, axiom, iftrue <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => (![Xy]: (in(Xy,A) => (Xphi => (if(A,Xphi,Xx,Xy) = Xx))))))). 38.41/38.87 tff('71', plain, 38.41/38.87 iftrue = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => (![X5]: (in(X5,X2) => (X3 => (if(X2,X3,X4,X5) = X4)))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(theeq, axiom, theeq <=> 38.41/38.87 (![X]: (singleton(X) => (![Xx]: (in(Xx,X) => (setunion(X) = Xx)))))). 38.41/38.87 tff('72', plain, 38.41/38.87 theeq = 38.41/38.87 (![X2]: (singleton(X2) => (![X3]: (in(X3,X2) => (setunion(X2) = X3))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(ifp, axiom, ifp <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => (![Xy]: (in(Xy,A) => in(if(A,Xphi,Xx,Xy),A)))))). 38.41/38.87 tff('73', plain, 38.41/38.87 ifp = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => (![X5]: (in(X5,X2) => in(if(X2,X3,X4,X5),X2))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(ifSingleton, axiom, ifSingleton <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => 38.41/38.87 singleton(dsetconstr(A, 38.41/38.87 ^[Xz]: 38.41/38.87 (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))))))))). 38.41/38.87 tff('74', plain, 38.41/38.87 ifSingleton = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 singleton(dsetconstr(X2, 38.41/38.87 ^[V_1]: 38.41/38.87 (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3)))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(iftrueProp2, axiom, iftrueProp2 <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => 38.41/38.87 (Xphi => 38.41/38.87 (dsetconstr(A,^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))) = 38.41/38.87 setadjoin(Xx,emptyset)))))))). 38.41/38.87 tff('75', plain, 38.41/38.87 iftrueProp2 = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (X3 => 38.41/38.87 (dsetconstr(X2, 38.41/38.87 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))) = 38.41/38.87 setadjoin(X4,emptyset))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(iftrueProp1, axiom, iftrueProp1 <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => 38.41/38.87 (Xphi => 38.41/38.87 in(Xx, 38.41/38.87 dsetconstr(A, 38.41/38.87 ^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi)))))))))). 38.41/38.87 tff('76', plain, 38.41/38.87 iftrueProp1 = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 (X3 => 38.41/38.87 in(X4, 38.41/38.87 dsetconstr(X2, 38.41/38.87 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(iffalseProp2, axiom, iffalseProp2 <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => 38.41/38.87 ((~Xphi) => 38.41/38.87 (dsetconstr(A,^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi))) = 38.41/38.87 setadjoin(Xy,emptyset)))))))). 38.41/38.87 tff('77', plain, 38.41/38.87 iffalseProp2 = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 ((~X3) => 38.41/38.87 (dsetconstr(X2, 38.41/38.87 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))) = 38.41/38.87 setadjoin(X5,emptyset))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(iffalseProp1, axiom, iffalseProp1 <=> 38.41/38.87 (![A,Xphi:$o,Xx]: 38.41/38.87 (in(Xx,A) => 38.41/38.87 (![Xy]: 38.41/38.87 (in(Xy,A) => 38.41/38.87 ((~Xphi) => 38.41/38.87 in(Xy, 38.41/38.87 dsetconstr(A, 38.41/38.87 ^[Xz]: (((Xz = Xy) & (~Xphi)) | ((Xz = Xx) & Xphi)))))))))). 38.41/38.87 tff('78', plain, 38.41/38.87 iffalseProp1 = 38.41/38.87 (![X2,X3:$o,X4]: 38.41/38.87 (in(X4,X2) => 38.41/38.87 (![X5]: 38.41/38.87 (in(X5,X2) => 38.41/38.87 ((~X3) => 38.41/38.87 in(X5, 38.41/38.87 dsetconstr(X2, 38.41/38.87 ^[V_1]: (((V_1 = X5) & (~X3)) | ((V_1 = X4) & X3))))))))), 38.41/38.87 define([status(thm)])). 38.41/38.87 tff(eta2, axiom, eta2 <=> 38.41/38.87 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 38.41/38.87 tff('79', plain, 38.41/38.87 eta2 = 38.41/38.87 (![X2,X3,X4]: 38.41/38.87 (in(X4,funcSet(X2,X3)) => (lam(X2,X3,^[V_1]: ap(X2,X3,X4,V_1)) = X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(beta2, axiom, beta2 <=> 38.41/38.88 (![A,B,Xf:($i > $i)]: 38.41/38.88 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 38.41/38.88 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 38.41/38.88 tff('80', plain, 38.41/38.88 beta2 = 38.41/38.88 (![X2,X3,X4:($i > $i)]: 38.41/38.88 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 38.41/38.88 (![X6]: 38.41/38.88 (in(X6,X2) => (ap(X2,X3,lam(X2,X3,^[V_1]: X4(V_1)),X6) = X4(X6)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(lam2lamEq, axiom, lam2lamEq <=> 38.41/38.88 (![A,B,Xf:($i > $i)]: 38.41/38.88 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 38.41/38.88 (lam(A,B,^[Xx]: Xf(Xx)) = lam(A,B,^[Xx]: Xf(Xx)))))). 38.41/38.88 tff('81', plain, 38.41/38.88 lam2lamEq = 38.41/38.88 (![X2,X3,X4:($i > $i)]: 38.41/38.88 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 38.41/38.88 (lam(X2,X3,^[V_1]: X4(V_1)) = lam(X2,X3,^[V_2]: X4(V_2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(eta1, axiom, eta1 <=> 38.41/38.88 (![A,B,Xf]: (func(A,B,Xf) => (lam(A,B,^[Xx]: ap(A,B,Xf,Xx)) = Xf)))). 38.41/38.88 tff('82', plain, 38.41/38.88 eta1 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => (lam(X2,X3,^[V_1]: ap(X2,X3,X4,V_1)) = X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(beta1, axiom, beta1 <=> 38.41/38.88 (![A,B,Xf:($i > $i)]: 38.41/38.88 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 38.41/38.88 (![Xx]: (in(Xx,A) => (ap(A,B,lam(A,B,^[Xy]: Xf(Xy)),Xx) = Xf(Xx))))))). 38.41/38.88 tff('83', plain, 38.41/38.88 beta1 = 38.41/38.88 (![X2,X3,X4:($i > $i)]: 38.41/38.88 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 38.41/38.88 (![X6]: 38.41/38.88 (in(X6,X2) => (ap(X2,X3,lam(X2,X3,^[V_1]: X4(V_1)),X6) = X4(X6)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ap2apEq2, axiom, ap2apEq2 <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 38.41/38.88 tff('84', plain, 38.41/38.88 ap2apEq2 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => 38.41/38.88 (![X5]: (in(X5,X2) => (ap(X2,X3,X4,X5) = ap(X2,X3,X4,X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ap2apEq1, axiom, ap2apEq1 <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (in(Xf,funcSet(A,B)) => 38.41/38.88 (![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xf,Xx))))))). 38.41/38.88 tff('85', plain, 38.41/38.88 ap2apEq1 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,funcSet(X2,X3)) => 38.41/38.88 (![X5]: (in(X5,X2) => (ap(X2,X3,X4,X5) = ap(X2,X3,X4,X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcext2, axiom, funcext2 <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (in(Xf,funcSet(A,B)) => 38.41/38.88 (![Xg]: 38.41/38.88 (in(Xg,funcSet(A,B)) => 38.41/38.88 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 38.41/38.88 (Xf = Xg))))))). 38.41/38.88 tff('86', plain, 38.41/38.88 funcext2 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,funcSet(X2,X3)) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,funcSet(X2,X3)) => 38.41/38.88 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 38.41/38.88 (X4 = X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcext, axiom, funcext <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (func(A,B,Xf) => 38.41/38.88 (![Xg]: 38.41/38.88 (func(A,B,Xg) => 38.41/38.88 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 38.41/38.88 (Xf = Xg))))))). 38.41/38.88 tff('87', plain, 38.41/38.88 funcext = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => 38.41/38.88 (![X5]: 38.41/38.88 (func(X2,X3,X5) => 38.41/38.88 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 38.41/38.88 (X4 = X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(eqbreln, axiom, eqbreln <=> 38.41/38.88 (![A,B,R]: 38.41/38.88 (breln(A,B,R) => 38.41/38.88 (![S]: 38.41/38.88 (breln(A,B,S) => 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => (in(kpair(Xx,Xy),S) => in(kpair(Xx,Xy),R)))))) => 38.41/38.88 (R = S)))))))). 38.41/38.88 tff('88', plain, 38.41/38.88 eqbreln = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (breln(X2,X3,X4) => 38.41/38.88 (![X5]: 38.41/38.88 (breln(X2,X3,X5) => 38.41/38.88 ((![X6]: 38.41/38.88 (in(X6,X2) => 38.41/38.88 (![X7]: 38.41/38.88 (in(X7,X3) => 38.41/38.88 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 38.41/38.88 ((![X8]: 38.41/38.88 (in(X8,X2) => 38.41/38.88 (![X9]: 38.41/38.88 (in(X9,X3) => 38.41/38.88 (in(kpair(X8,X9),X5) => in(kpair(X8,X9),X4)))))) => 38.41/38.88 (X4 = X5))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subbreln, axiom, subbreln <=> 38.41/38.88 (![A,B,R]: 38.41/38.88 (breln(A,B,R) => 38.41/38.88 (![S]: 38.41/38.88 (breln(A,B,S) => 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => (in(kpair(Xx,Xy),R) => in(kpair(Xx,Xy),S)))))) => 38.41/38.88 subset(R,S))))))). 38.41/38.88 tff('89', plain, 38.41/38.88 subbreln = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (breln(X2,X3,X4) => 38.41/38.88 (![X5]: 38.41/38.88 (breln(X2,X3,X5) => 38.41/38.88 ((![X6]: 38.41/38.88 (in(X6,X2) => 38.41/38.88 (![X7]: 38.41/38.88 (in(X7,X3) => 38.41/38.88 (in(kpair(X6,X7),X4) => in(kpair(X6,X7),X5)))))) => 38.41/38.88 subset(X4,X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcGraphProp4, axiom, funcGraphProp4 <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (in(Xf,funcSet(A,B)) => 38.41/38.88 (![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 38.41/38.88 tff('90', plain, 38.41/38.88 funcGraphProp4 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,funcSet(X2,X3)) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X2) => 38.41/38.88 (![X6]: 38.41/38.88 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcextLem, axiom, funcextLem <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (func(A,B,Xf) => 38.41/38.88 (![Xg]: 38.41/38.88 (func(A,B,Xg) => 38.41/38.88 ((![Xx]: (in(Xx,A) => (ap(A,B,Xf,Xx) = ap(A,B,Xg,Xx)))) => 38.41/38.88 (![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => (in(kpair(Xx,Xy),Xg) => in(kpair(Xx,Xy),Xf)))))))))))). 38.41/38.88 tff('91', plain, 38.41/38.88 funcextLem = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => 38.41/38.88 (![X5]: 38.41/38.88 (func(X2,X3,X5) => 38.41/38.88 ((![X6]: (in(X6,X2) => (ap(X2,X3,X4,X6) = ap(X2,X3,X5,X6)))) => 38.41/38.88 (![X7]: 38.41/38.88 (in(X7,X2) => 38.41/38.88 (![X8]: 38.41/38.88 (in(X8,X3) => 38.41/38.88 (in(kpair(X7,X8),X5) => in(kpair(X7,X8),X4))))))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcGraphProp2, axiom, funcGraphProp2 <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (func(A,B,Xf) => 38.41/38.88 (![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: (in(Xy,B) => (in(kpair(Xx,Xy),Xf) => (ap(A,B,Xf,Xx) = Xy))))))))). 38.41/38.88 tff('92', plain, 38.41/38.88 funcGraphProp2 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X2) => 38.41/38.88 (![X6]: 38.41/38.88 (in(X6,X3) => (in(kpair(X5,X6),X4) => (ap(X2,X3,X4,X5) = X6)))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcGraphProp3, axiom, funcGraphProp3 <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (in(Xf,funcSet(A,B)) => 38.41/38.88 (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 38.41/38.88 tff('93', plain, 38.41/38.88 funcGraphProp3 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,funcSet(X2,X3)) => 38.41/38.88 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcGraphProp1, axiom, funcGraphProp1 <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(kpair(Xx,ap(A,B,Xf,Xx)),Xf)))))). 38.41/38.88 tff('94', plain, 38.41/38.88 funcGraphProp1 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => 38.41/38.88 (![X5]: (in(X5,X2) => in(kpair(X5,ap(X2,X3,X4,X5)),X4))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ex1E2, axiom, ex1E2 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 (ex1(A,^[Xx]: Xphi(Xx)) => 38.41/38.88 (![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))))))))). 38.41/38.88 tff('95', plain, 38.41/38.88 ex1E2 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 (ex1(X2,^[V_1]: X3(V_1)) => 38.41/38.88 (![X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(brelnall2, axiom, brelnall2 <=> 38.41/38.88 (![A,B,R]: 38.41/38.88 (breln(A,B,R) => 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 38.41/38.88 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 38.41/38.88 tff('96', plain, 38.41/38.88 brelnall2 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (breln(X2,X3,X4) => 38.41/38.88 (![X5:($i > $o)]: 38.41/38.88 ((![X6]: 38.41/38.88 (in(X6,X2) => 38.41/38.88 (![X7]: 38.41/38.88 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 38.41/38.88 (![X8]: (in(X8,X4) => X5(X8))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(brelnall1, axiom, brelnall1 <=> 38.41/38.88 (![A,B,R]: 38.41/38.88 (breln(A,B,R) => 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => (in(kpair(Xx,Xy),R) => Xphi(kpair(Xx,Xy))))))) => 38.41/38.88 (![Xx]: (in(Xx,R) => Xphi(Xx)))))))). 38.41/38.88 tff('97', plain, 38.41/38.88 brelnall1 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (breln(X2,X3,X4) => 38.41/38.88 (![X5:($i > $o)]: 38.41/38.88 ((![X6]: 38.41/38.88 (in(X6,X2) => 38.41/38.88 (![X7]: 38.41/38.88 (in(X7,X3) => (in(kpair(X6,X7),X4) => X5(kpair(X6,X7))))))) => 38.41/38.88 (![X8]: (in(X8,X4) => X5(X8))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(lam2p, axiom, lam2p <=> 38.41/38.88 (![A,B,Xf:($i > $i)]: 38.41/38.88 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 38.41/38.88 in(lam(A,B,^[Xx]: Xf(Xx)),funcSet(A,B))))). 38.41/38.88 tff('98', plain, 38.41/38.88 lam2p = 38.41/38.88 (![X2,X3,X4:($i > $i)]: 38.41/38.88 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 38.41/38.88 in(lam(X2,X3,^[V_1]: X4(V_1)),funcSet(X2,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(lamp, axiom, lamp <=> 38.41/38.88 (![A,B,Xf:($i > $i)]: 38.41/38.88 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => func(A,B,lam(A,B,^[Xx]: Xf(Xx)))))). 38.41/38.88 tff('99', plain, 38.41/38.88 lamp = 38.41/38.88 (![X2,X3,X4:($i > $i)]: 38.41/38.88 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 38.41/38.88 func(X2,X3,lam(X2,X3,^[V_1]: X4(V_1))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(lamProp, axiom, lamProp <=> 38.41/38.88 (![A,B,Xf:($i > $i)]: 38.41/38.88 ((![Xx]: (in(Xx,A) => in(Xf(Xx),B))) => 38.41/38.88 func(A,B,dpsetconstr(A,B,^[Xx,Xy]: (Xf(Xx) = Xy)))))). 38.41/38.88 tff('100', plain, 38.41/38.88 lamProp = 38.41/38.88 (![X2,X3,X4:($i > $i)]: 38.41/38.88 ((![X5]: (in(X5,X2) => in(X4(X5),X3))) => 38.41/38.88 func(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: (X4(V_1) = V_2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcinfuncset, axiom, funcinfuncset <=> 38.41/38.88 (![A,B,Xf]: (func(A,B,Xf) => in(Xf,funcSet(A,B))))). 38.41/38.88 tff('101', plain, 38.41/38.88 funcinfuncset = (![X2,X3,X4]: (func(X2,X3,X4) => in(X4,funcSet(X2,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ap2p, axiom, ap2p <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (in(Xf,funcSet(A,B)) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 38.41/38.88 tff('102', plain, 38.41/38.88 ap2p = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,funcSet(X2,X3)) => 38.41/38.88 (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(infuncsetfunc, axiom, infuncsetfunc <=> 38.41/38.88 (![A,B,Xf]: (in(Xf,funcSet(A,B)) => func(A,B,Xf)))). 38.41/38.88 tff('103', plain, 38.41/38.88 infuncsetfunc = (![X2,X3,X4]: (in(X4,funcSet(X2,X3)) => func(X2,X3,X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(app, axiom, app <=> 38.41/38.88 (![A,B,Xf]: (func(A,B,Xf) => (![Xx]: (in(Xx,A) => in(ap(A,B,Xf,Xx),B)))))). 38.41/38.88 tff('104', plain, 38.41/38.88 app = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => (![X5]: (in(X5,X2) => in(ap(X2,X3,X4,X5),X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(apProp, axiom, apProp <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (func(A,B,Xf) => 38.41/38.88 (![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 in(setunion(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf))),B)))))). 38.41/38.88 tff('105', plain, 38.41/38.88 apProp = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X2) => 38.41/38.88 in(setunion(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))),X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(funcImageSingleton, axiom, funcImageSingleton <=> 38.41/38.88 (![A,B,Xf]: 38.41/38.88 (func(A,B,Xf) => 38.41/38.88 (![Xx]: 38.41/38.88 (in(Xx,A) => singleton(dsetconstr(B,^[Xy]: in(kpair(Xx,Xy),Xf)))))))). 38.41/38.88 tff('106', plain, 38.41/38.88 funcImageSingleton = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (func(X2,X3,X4) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X2) => 38.41/38.88 singleton(dsetconstr(X3,^[V_1]: in(kpair(X5,V_1),X4))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dpsetconstrER, axiom, dpsetconstrER <=> 38.41/38.88 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 38.41/38.88 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => Xphi(Xx,Xy)))). 38.41/38.88 tff('107', plain, 38.41/38.88 dpsetconstrER = 38.41/38.88 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 38.41/38.88 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 38.41/38.88 X4(X5,X6))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dpsetconstrEL2, axiom, dpsetconstrEL2 <=> 38.41/38.88 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 38.41/38.88 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xy,B)))). 38.41/38.88 tff('108', plain, 38.41/38.88 dpsetconstrEL2 = 38.41/38.88 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 38.41/38.88 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 38.41/38.88 in(X6,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dpsetconstrEL1, axiom, dpsetconstrEL1 <=> 38.41/38.88 (![A,B,Xphi:(($i * $i) > $o),Xx,Xy]: 38.41/38.88 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => in(Xx,A)))). 38.41/38.88 tff('109', plain, 38.41/38.88 dpsetconstrEL1 = 38.41/38.88 (![X2,X3,X4:(($i * $i) > $o),X5,X6]: 38.41/38.88 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 38.41/38.88 in(X5,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dpsetconstrERa, axiom, dpsetconstrERa <=> 38.41/38.88 (![A,B,Xphi:(($i * $i) > $o),Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => 38.41/38.88 (in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))) => 38.41/38.88 Xphi(Xx,Xy))))))). 38.41/38.88 tff('110', plain, 38.41/38.88 dpsetconstrERa = 38.41/38.88 (![X2,X3,X4:(($i * $i) > $o),X5]: 38.41/38.88 (in(X5,X2) => 38.41/38.88 (![X6]: 38.41/38.88 (in(X6,X3) => 38.41/38.88 (in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2))) => 38.41/38.88 X4(X5,X6)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setOfPairsIsBReln, axiom, setOfPairsIsBReln <=> 38.41/38.88 (![A,B,Xphi:(($i * $i) > $o)]: 38.41/38.88 breln(A,B,dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy))))). 38.41/38.88 tff('111', plain, 38.41/38.88 setOfPairsIsBReln = 38.41/38.88 (![X2,X3,X4:(($i * $i) > $o)]: 38.41/38.88 breln(X2,X3,dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dpsetconstrSub, axiom, dpsetconstrSub <=> 38.41/38.88 (![A,B,Xphi:(($i * $i) > $o)]: 38.41/38.88 subset(dpsetconstr(A,B,^[Xx,Xy]: Xphi(Xx,Xy)),cartprod(A,B)))). 38.41/38.88 tff('112', plain, 38.41/38.88 dpsetconstrSub = 38.41/38.88 (![X2,X3,X4:(($i * $i) > $o)]: 38.41/38.88 subset(dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)),cartprod(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dpsetconstrI, axiom, dpsetconstrI <=> 38.41/38.88 (![A,B,Xphi:(($i * $i) > $o),Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => 38.41/38.88 (Xphi(Xx,Xy) => 38.41/38.88 in(kpair(Xx,Xy),dpsetconstr(A,B,^[Xz,Xu]: Xphi(Xz,Xu))))))))). 38.41/38.88 tff('113', plain, 38.41/38.88 dpsetconstrI = 38.41/38.88 (![X2,X3,X4:(($i * $i) > $o),X5]: 38.41/38.88 (in(X5,X2) => 38.41/38.88 (![X6]: 38.41/38.88 (in(X6,X3) => 38.41/38.88 (X4(X5,X6) => 38.41/38.88 in(kpair(X5,X6),dpsetconstr(X2,X3,^[V_1,V_2]: X4(V_1,V_2)))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(breln, axiom, breln() = ^[A,B,C]: subset(C,cartprod(A,B))). 38.41/38.88 tff('114', plain, breln = (^[V_1,V_2,V_3]: subset(V_3,cartprod(V_1,V_2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodpairsurjEq, axiom, cartprodpairsurjEq <=> 38.41/38.88 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 38.41/38.88 tff('115', plain, 38.41/38.88 cartprodpairsurjEq = 38.41/38.88 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => (kpair(kfst(X4),ksnd(X4)) = X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodsndpairEq, axiom, cartprodsndpairEq <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (ksnd(kpair(Xx,Xy)) = Xy)))))). 38.41/38.88 tff('116', plain, 38.41/38.88 cartprodsndpairEq = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => (![X5]: (in(X5,X3) => (ksnd(kpair(X4,X5)) = X5))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodfstpairEq, axiom, cartprodfstpairEq <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => (![Xy]: (in(Xy,B) => (kfst(kpair(Xx,Xy)) = Xx)))))). 38.41/38.88 tff('117', plain, 38.41/38.88 cartprodfstpairEq = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => (![X5]: (in(X5,X3) => (kfst(kpair(X4,X5)) = X4))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodmempaircEq, axiom, cartprodmempaircEq <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => (![Xy]: (in(Xy,B) => (kpair(Xx,Xy) = kpair(Xx,Xy))))))). 38.41/38.88 tff('118', plain, 38.41/38.88 cartprodmempaircEq = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => (![X5]: (in(X5,X3) => (kpair(X4,X5) = kpair(X4,X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodpairmemER, axiom, cartprodpairmemER <=> 38.41/38.88 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xy,B)))). 38.41/38.88 tff('119', plain, 38.41/38.88 cartprodpairmemER = 38.41/38.88 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X5,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodpairmemEL, axiom, cartprodpairmemEL <=> 38.41/38.88 (![A,B,Xx,Xy]: (in(kpair(Xx,Xy),cartprod(A,B)) => in(Xx,A)))). 38.41/38.88 tff('120', plain, 38.41/38.88 cartprodpairmemEL = 38.41/38.88 (![X2,X3,X4,X5]: (in(kpair(X4,X5),cartprod(X2,X3)) => in(X4,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodsndin, axiom, cartprodsndin <=> 38.41/38.88 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(ksnd(Xu),B)))). 38.41/38.88 tff('121', plain, 38.41/38.88 cartprodsndin = 38.41/38.88 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(ksnd(X4),X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(kpairsurjEq, axiom, kpairsurjEq <=> 38.41/38.88 (![Xu]: (iskpair(Xu) => (kpair(kfst(Xu),ksnd(Xu)) = Xu)))). 38.41/38.88 tff('122', plain, 38.41/38.88 kpairsurjEq = (![X2]: (iskpair(X2) => (kpair(kfst(X2),ksnd(X2)) = X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ksndpairEq, axiom, ksndpairEq <=> (![Xx,Xy]: (ksnd(kpair(Xx,Xy)) = Xy))). 38.41/38.88 tff('123', plain, ksndpairEq = (![X2,X3]: (ksnd(kpair(X2,X3)) = X3)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ksndsingleton, axiom, ksndsingleton <=> 38.41/38.88 (![Xu]: 38.41/38.88 (iskpair(Xu) => 38.41/38.88 singleton(dsetconstr(setunion(Xu),^[Xx]: (Xu = kpair(kfst(Xu),Xx))))))). 38.41/38.88 tff('124', plain, 38.41/38.88 ksndsingleton = 38.41/38.88 (![X2]: 38.41/38.88 (iskpair(X2) => 38.41/38.88 singleton(dsetconstr(setunion(X2),^[V_1]: (X2 = kpair(kfst(X2),V_1)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjR, axiom, setukpairinjR <=> 38.41/38.88 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xy = Xu)))). 38.41/38.88 tff('125', plain, 38.41/38.88 setukpairinjR = 38.41/38.88 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X3 = X5))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjR2, axiom, setukpairinjR2 <=> 38.41/38.88 (![Xx,Xy,Xz,Xu]: 38.41/38.88 ((setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(Xz,emptyset), 38.41/38.88 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 38.41/38.88 (Xy = Xu)))). 38.41/38.88 tff('126', plain, 38.41/38.88 setukpairinjR2 = 38.41/38.88 (![X2,X3,X4,X5]: 38.41/38.88 ((setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(X4,emptyset), 38.41/38.88 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 38.41/38.88 (X3 = X5))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairequniteq, axiom, upairequniteq <=> 38.41/38.88 (![Xx,Xy,Xz]: 38.41/38.88 ((setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xz,emptyset)) => 38.41/38.88 (Xx = Xy)))). 38.41/38.88 tff('127', plain, 38.41/38.88 upairequniteq = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 ((setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X4,emptyset)) => 38.41/38.88 (X2 = X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjR1, axiom, setukpairinjR1 <=> 38.41/38.88 (![Xx,Xy,Xz,Xu]: 38.41/38.88 ((setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(Xz,emptyset), 38.41/38.88 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 38.41/38.88 ((Xz = Xu) => (Xy = Xu))))). 38.41/38.88 tff('128', plain, 38.41/38.88 setukpairinjR1 = 38.41/38.88 (![X2,X3,X4,X5]: 38.41/38.88 ((setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(X4,emptyset), 38.41/38.88 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 38.41/38.88 ((X4 = X5) => (X3 = X5)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjR12, axiom, setukpairinjR12 <=> 38.41/38.88 (![Xx,Xy]: 38.41/38.88 ((Xx = Xy) => 38.41/38.88 (setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(Xx,emptyset),emptyset))))). 38.41/38.88 tff('129', plain, 38.41/38.88 setukpairinjR12 = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((X2 = X3) => 38.41/38.88 (setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(X2,emptyset),emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjR11, axiom, setukpairinjR11 <=> 38.41/38.88 (![Xx,Xy]: 38.41/38.88 ((Xx = Xy) => 38.41/38.88 (setadjoin(Xx,setadjoin(Xy,emptyset)) = setadjoin(Xx,emptyset))))). 38.41/38.88 tff('130', plain, 38.41/38.88 setukpairinjR11 = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((X2 = X3) => 38.41/38.88 (setadjoin(X2,setadjoin(X3,emptyset)) = setadjoin(X2,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjL, axiom, setukpairinjL <=> 38.41/38.88 (![Xx,Xy,Xz,Xu]: ((kpair(Xx,Xy) = kpair(Xz,Xu)) => (Xx = Xz)))). 38.41/38.88 tff('131', plain, 38.41/38.88 setukpairinjL = 38.41/38.88 (![X2,X3,X4,X5]: ((kpair(X2,X3) = kpair(X4,X5)) => (X2 = X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjL2, axiom, setukpairinjL2 <=> 38.41/38.88 (![Xx,Xy,Xz,Xu]: 38.41/38.88 ((setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(Xz,emptyset), 38.41/38.88 setadjoin(setadjoin(Xz,setadjoin(Xu,emptyset)),emptyset))) => 38.41/38.88 (Xx = Xz)))). 38.41/38.88 tff('132', plain, 38.41/38.88 setukpairinjL2 = 38.41/38.88 (![X2,X3,X4,X5]: 38.41/38.88 ((setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset)) = 38.41/38.88 setadjoin(setadjoin(X4,emptyset), 38.41/38.88 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)),emptyset))) => 38.41/38.88 (X2 = X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodfstin, axiom, cartprodfstin <=> 38.41/38.88 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => in(kfst(Xu),A)))). 38.41/38.88 tff('133', plain, 38.41/38.88 cartprodfstin = 38.41/38.88 (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => in(kfst(X4),X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(kfstpairEq, axiom, kfstpairEq <=> (![Xx,Xy]: (kfst(kpair(Xx,Xy)) = Xx))). 38.41/38.88 tff('134', plain, kfstpairEq = (![X2,X3]: (kfst(kpair(X2,X3)) = X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(theprop, axiom, theprop <=> (![X]: (singleton(X) => in(setunion(X),X)))). 38.41/38.88 tff('135', plain, theprop = (![X2]: (singleton(X2) => in(setunion(X2),X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(kfstsingleton, axiom, kfstsingleton <=> 38.41/38.88 (![Xu]: 38.41/38.88 (iskpair(Xu) => 38.41/38.88 singleton(dsetconstr(setunion(Xu),^[Xx]: in(setadjoin(Xx,emptyset),Xu)))))). 38.41/38.88 tff('136', plain, 38.41/38.88 kfstsingleton = 38.41/38.88 (![X2]: 38.41/38.88 (iskpair(X2) => 38.41/38.88 singleton(dsetconstr(setunion(X2), 38.41/38.88 ^[V_1]: in(setadjoin(V_1,emptyset),X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairinjL1, axiom, setukpairinjL1 <=> 38.41/38.88 (![Xx,Xy,Xz]: 38.41/38.88 (in(setadjoin(Xz,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)),emptyset))) => 38.41/38.88 (Xx = Xz)))). 38.41/38.88 tff('137', plain, 38.41/38.88 setukpairinjL1 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(setadjoin(X4,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)),emptyset))) => 38.41/38.88 (X2 = X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(singletonsuniq, axiom, singletonsuniq <=> 38.41/38.88 (![Xx,Xy]: ((setadjoin(Xx,emptyset) = setadjoin(Xy,emptyset)) => (Xx = Xy)))). 38.41/38.88 tff('138', plain, 38.41/38.88 singletonsuniq = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((setadjoin(X2,emptyset) = setadjoin(X3,emptyset)) => (X2 = X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ex1I2, axiom, ex1I2 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 38.41/38.88 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => ex1(A,^[Xx]: Xphi(Xx)))))). 38.41/38.88 tff('139', plain, 38.41/38.88 ex1I2 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((![X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 38.41/38.88 ((?[X6]: (X3(X6) & in(X6,X2))) => ex1(X2,^[V_1]: X3(V_1))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ex1I, axiom, ex1I <=> 38.41/38.88 (![A,Xphi:($i > $o),Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (Xphi(Xx) => 38.41/38.88 ((![Xy]: (in(Xy,A) => (Xphi(Xy) => (Xy = Xx)))) => 38.41/38.88 ex1(A,^[Xy]: Xphi(Xy))))))). 38.41/38.88 tff('140', plain, 38.41/38.88 ex1I = 38.41/38.88 (![X2,X3:($i > $o),X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (X3(X4) => 38.41/38.88 ((![X5]: (in(X5,X2) => (X3(X5) => (X5 = X4)))) => 38.41/38.88 ex1(X2,^[V_1]: X3(V_1)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ex1E1, axiom, ex1E1 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 (ex1(A,^[Xx]: Xphi(Xx)) => (?[Xx]: (Xphi(Xx) & in(Xx,A)))))). 38.41/38.88 tff('141', plain, 38.41/38.88 ex1E1 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 (ex1(X2,^[V_1]: X3(V_1)) => (?[X4]: (X3(X4) & in(X4,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(singletonprop, axiom, singletonprop <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: (in(Xy,A) => (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))) => 38.41/38.88 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 38.41/38.88 singleton(dsetconstr(A,^[Xx]: Xphi(Xx))))))). 38.41/38.88 tff('142', plain, 38.41/38.88 singletonprop = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((![X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: (in(X5,X2) => (X3(X4) => (X3(X5) => (X4 = X5))))))) => 38.41/38.88 ((?[X6]: (X3(X6) & in(X6,X2))) => 38.41/38.88 singleton(dsetconstr(X2,^[V_1]: X3(V_1)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setunionsingleton, axiom, setunionsingleton <=> 38.41/38.88 (![Xx]: (setunion(setadjoin(Xx,emptyset)) = Xx))). 38.41/38.88 tff('143', plain, 38.41/38.88 setunionsingleton = (![X2]: (setunion(setadjoin(X2,emptyset)) = X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setunionsingleton2, axiom, setunionsingleton2 <=> 38.41/38.88 (![A]: subset(A,setunion(setadjoin(A,emptyset))))). 38.41/38.88 tff('144', plain, 38.41/38.88 setunionsingleton2 = (![X2]: subset(X2,setunion(setadjoin(X2,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setunionsingleton1, axiom, setunionsingleton1 <=> 38.41/38.88 (![A]: subset(setunion(setadjoin(A,emptyset)),A))). 38.41/38.88 tff('145', plain, 38.41/38.88 setunionsingleton1 = (![X2]: subset(setunion(setadjoin(X2,emptyset)),X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setunionE2, axiom, setunionE2 <=> 38.41/38.88 (![A,Xx]: (in(Xx,setunion(A)) => (?[X]: (in(Xx,X) & in(X,A)))))). 38.41/38.88 tff('146', plain, 38.41/38.88 setunionE2 = 38.41/38.88 (![X2,X3]: (in(X3,setunion(X2)) => (?[X4]: (in(X3,X4) & in(X4,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodmempair, axiom, cartprodmempair <=> 38.41/38.88 (![A,B,Xu]: (in(Xu,cartprod(A,B)) => iskpair(Xu)))). 38.41/38.88 tff('147', plain, 38.41/38.88 cartprodmempair = (![X2,X3,X4]: (in(X4,cartprod(X2,X3)) => iskpair(X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodmempair1, axiom, cartprodmempair1 <=> 38.41/38.88 (![A,B,Xu]: 38.41/38.88 (in(Xu,cartprod(A,B)) => 38.41/38.88 (?[Xx]: ((?[Xy]: ((Xu = kpair(Xx,Xy)) & in(Xy,B))) & in(Xx,A)))))). 38.41/38.88 tff('148', plain, 38.41/38.88 cartprodmempair1 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,cartprod(X2,X3)) => 38.41/38.88 (?[X5]: ((?[X6]: ((X4 = kpair(X5,X6)) & in(X6,X3))) & in(X5,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(cartprodpairin, axiom, cartprodpairin <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => (![Xy]: (in(Xy,B) => in(kpair(Xx,Xy),cartprod(A,B))))))). 38.41/38.88 tff('149', plain, 38.41/38.88 cartprodpairin = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => (![X5]: (in(X5,X3) => in(kpair(X4,X5),cartprod(X2,X3)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ubforcartprodlem3, axiom, ubforcartprodlem3 <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => in(kpair(Xx,Xy),powerset(powerset(binunion(A,B))))))))). 38.41/38.88 tff('150', plain, 38.41/38.88 ubforcartprodlem3 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X3) => in(kpair(X4,X5),powerset(powerset(binunion(X2,X3)))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ubforcartprodlem2, axiom, ubforcartprodlem2 <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => 38.41/38.88 in(setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 38.41/38.88 emptyset)), 38.41/38.88 powerset(powerset(binunion(A,B))))))))). 38.41/38.88 tff('151', plain, 38.41/38.88 ubforcartprodlem2 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X3) => 38.41/38.88 in(setadjoin(setadjoin(X4,emptyset), 38.41/38.88 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 38.41/38.88 emptyset)), 38.41/38.88 powerset(powerset(binunion(X2,X3)))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(ubforcartprodlem1, axiom, ubforcartprodlem1 <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => 38.41/38.88 subset(setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 38.41/38.88 emptyset)), 38.41/38.88 powerset(binunion(A,B)))))))). 38.41/38.88 tff('152', plain, 38.41/38.88 ubforcartprodlem1 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X3) => 38.41/38.88 subset(setadjoin(setadjoin(X4,emptyset), 38.41/38.88 setadjoin(setadjoin(X4,setadjoin(X5,emptyset)), 38.41/38.88 emptyset)), 38.41/38.88 powerset(binunion(X2,X3))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairinpowunion, axiom, upairinpowunion <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => 38.41/38.88 in(setadjoin(Xx,setadjoin(Xy,emptyset)),powerset(binunion(A,B)))))))). 38.41/38.88 tff('153', plain, 38.41/38.88 upairinpowunion = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X3) => 38.41/38.88 in(setadjoin(X4,setadjoin(X5,emptyset)),powerset(binunion(X2,X3))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairsubunion, axiom, upairsubunion <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,B) => 38.41/38.88 subset(setadjoin(Xx,setadjoin(Xy,emptyset)),binunion(A,B))))))). 38.41/38.88 tff('154', plain, 38.41/38.88 upairsubunion = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => 38.41/38.88 (![X5]: 38.41/38.88 (in(X5,X3) => 38.41/38.88 subset(setadjoin(X4,setadjoin(X5,emptyset)),binunion(X2,X3)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairset2E, axiom, upairset2E <=> 38.41/38.88 (![Xx,Xy,Xz]: 38.41/38.88 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 38.41/38.88 tff('155', plain, 38.41/38.88 upairset2E = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 38.41/38.88 ((X4 = X3) | (X4 = X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(singletoninpowunion, axiom, singletoninpowunion <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(binunion(A,B)))))). 38.41/38.88 tff('156', plain, 38.41/38.88 singletoninpowunion = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,X2) => in(setadjoin(X4,emptyset),powerset(binunion(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(singletoninpowerset, axiom, singletoninpowerset <=> 38.41/38.88 (![A,Xx]: (in(Xx,A) => in(setadjoin(Xx,emptyset),powerset(A))))). 38.41/38.88 tff('157', plain, 38.41/38.88 singletoninpowerset = 38.41/38.88 (![X2,X3]: (in(X3,X2) => in(setadjoin(X3,emptyset),powerset(X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(singletonsubset, axiom, singletonsubset <=> 38.41/38.88 (![A,Xx]: (in(Xx,A) => subset(setadjoin(Xx,emptyset),A)))). 38.41/38.88 tff('158', plain, 38.41/38.88 singletonsubset = 38.41/38.88 (![X2,X3]: (in(X3,X2) => subset(setadjoin(X3,emptyset),X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(kpairp, axiom, kpairp <=> (![Xx,Xy]: iskpair(kpair(Xx,Xy)))). 38.41/38.88 tff('159', plain, kpairp = (![X2,X3]: iskpair(kpair(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(kpairiskpair, axiom, kpairiskpair <=> 38.41/38.88 (![Xx,Xy]: 38.41/38.88 iskpair(setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 38.41/38.88 emptyset))))). 38.41/38.88 tff('160', plain, 38.41/38.88 kpairiskpair = 38.41/38.88 (![X2,X3]: 38.41/38.88 iskpair(setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 38.41/38.88 emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairIR, axiom, setukpairIR <=> 38.41/38.88 (![Xx,Xy]: 38.41/38.88 in(Xy, 38.41/38.88 setunion(setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 38.41/38.88 emptyset)))))). 38.41/38.88 tff('161', plain, 38.41/38.88 setukpairIR = 38.41/38.88 (![X2,X3]: 38.41/38.88 in(X3, 38.41/38.88 setunion(setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 38.41/38.88 emptyset))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setukpairIL, axiom, setukpairIL <=> 38.41/38.88 (![Xx,Xy]: 38.41/38.88 in(Xx, 38.41/38.88 setunion(setadjoin(setadjoin(Xx,emptyset), 38.41/38.88 setadjoin(setadjoin(Xx,setadjoin(Xy,emptyset)), 38.41/38.88 emptyset)))))). 38.41/38.88 tff('162', plain, 38.41/38.88 setukpairIL = 38.41/38.88 (![X2,X3]: 38.41/38.88 in(X2, 38.41/38.88 setunion(setadjoin(setadjoin(X2,emptyset), 38.41/38.88 setadjoin(setadjoin(X2,setadjoin(X3,emptyset)), 38.41/38.88 emptyset))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(secondinupair, axiom, secondinupair <=> 38.41/38.88 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 38.41/38.88 tff('163', plain, 38.41/38.88 secondinupair = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(symdiffIneg2, axiom, symdiffIneg2 <=> 38.41/38.88 (![A,B,Xx]: ((~in(Xx,A)) => ((~in(Xx,B)) => (~in(Xx,symdiff(A,B))))))). 38.41/38.88 tff('164', plain, 38.41/38.88 symdiffIneg2 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 ((~in(X4,X2)) => ((~in(X4,X3)) => (~in(X4,symdiff(X2,X3)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(symdiffIneg1, axiom, symdiffIneg1 <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => (~in(Xx,symdiff(A,B))))))). 38.41/38.88 tff('165', plain, 38.41/38.88 symdiffIneg1 = 38.41/38.88 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => (~in(X4,symdiff(X2,X3)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(symdiffI2, axiom, symdiffI2 <=> 38.41/38.88 (![A,B,Xx]: ((~in(Xx,A)) => (in(Xx,B) => in(Xx,symdiff(A,B)))))). 38.41/38.88 tff('166', plain, 38.41/38.88 symdiffI2 = 38.41/38.88 (![X2,X3,X4]: ((~in(X4,X2)) => (in(X4,X3) => in(X4,symdiff(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(symdiffI1, axiom, symdiffI1 <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,symdiff(A,B)))))). 38.41/38.88 tff('167', plain, 38.41/38.88 symdiffI1 = 38.41/38.88 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,symdiff(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(symdiffE, axiom, symdiffE <=> 38.41/38.88 (![A,B,Xx]: 38.41/38.88 (in(Xx,symdiff(A,B)) => 38.41/38.88 (![Xphi:$o]: 38.41/38.88 ((in(Xx,A) => ((~in(Xx,B)) => Xphi)) => 38.41/38.88 (((~in(Xx,A)) => (in(Xx,B) => Xphi)) => Xphi)))))). 38.41/38.88 tff('168', plain, 38.41/38.88 symdiffE = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,symdiff(X2,X3)) => 38.41/38.88 (![X5:$o]: 38.41/38.88 ((in(X4,X2) => ((~in(X4,X3)) => X5)) => 38.41/38.88 (((~in(X4,X2)) => (in(X4,X3) => X5)) => X5))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusSubset1, axiom, setminusSubset1 <=> 38.41/38.88 (![A,B]: ((setminus(A,B) = emptyset) => subset(A,B)))). 38.41/38.88 tff('169', plain, 38.41/38.88 setminusSubset1 = 38.41/38.88 (![X2,X3]: ((setminus(X2,X3) = emptyset) => subset(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusLsub, axiom, setminusLsub <=> (![A,B]: subset(setminus(A,B),A))). 38.41/38.88 tff('170', plain, setminusLsub = (![X2,X3]: subset(setminus(X2,X3),X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusIRneg, axiom, setminusIRneg <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,B) => (~in(Xx,setminus(A,B)))))). 38.41/38.88 tff('171', plain, 38.41/38.88 setminusIRneg = (![X2,X3,X4]: (in(X4,X3) => (~in(X4,setminus(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusILneg, axiom, setminusILneg <=> 38.41/38.88 (![A,B,Xx]: ((~in(Xx,A)) => (~in(Xx,setminus(A,B)))))). 38.41/38.88 tff('172', plain, 38.41/38.88 setminusILneg = 38.41/38.88 (![X2,X3,X4]: ((~in(X4,X2)) => (~in(X4,setminus(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusELneg, axiom, setminusELneg <=> 38.41/38.88 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => ((~in(Xx,B)) => (~in(Xx,A)))))). 38.41/38.88 tff('173', plain, 38.41/38.88 setminusELneg = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 ((~in(X4,setminus(X2,X3))) => ((~in(X4,X3)) => (~in(X4,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusERneg, axiom, setminusERneg <=> 38.41/38.88 (![A,B,Xx]: ((~in(Xx,setminus(A,B))) => (in(Xx,A) => in(Xx,B))))). 38.41/38.88 tff('174', plain, 38.41/38.88 setminusERneg = 38.41/38.88 (![X2,X3,X4]: ((~in(X4,setminus(X2,X3))) => (in(X4,X2) => in(X4,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusSubset2, axiom, setminusSubset2 <=> 38.41/38.88 (![A,B]: (subset(A,B) => (setminus(A,B) = emptyset)))). 38.41/38.88 tff('175', plain, 38.41/38.88 setminusSubset2 = 38.41/38.88 (![X2,X3]: (subset(X2,X3) => (setminus(X2,X3) = emptyset))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusER, axiom, setminusER <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,setminus(A,B)) => (~in(Xx,B))))). 38.41/38.88 tff('176', plain, 38.41/38.88 setminusER = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => (~in(X4,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusEL, axiom, setminusEL <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,setminus(A,B)) => in(Xx,A)))). 38.41/38.88 tff('177', plain, 38.41/38.88 setminusEL = (![X2,X3,X4]: (in(X4,setminus(X2,X3)) => in(X4,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setminusI, axiom, setminusI <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => in(Xx,setminus(A,B)))))). 38.41/38.88 tff('178', plain, 38.41/38.88 setminusI = 38.41/38.88 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => in(X4,setminus(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(bs114d, axiom, bs114d <=> 38.41/38.88 (![A,B,C]: 38.41/38.88 (binintersect(A,binunion(B,C)) = 38.41/38.88 binunion(binintersect(A,B),binintersect(A,C))))). 38.41/38.88 tff('179', plain, 38.41/38.88 bs114d = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (binintersect(X2,binunion(X3,X4)) = 38.41/38.88 binunion(binintersect(X2,X3),binintersect(X2,X4)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectSubset1, axiom, binintersectSubset1 <=> 38.41/38.88 (![A,B]: ((binintersect(A,B) = A) => subset(A,B)))). 38.41/38.88 tff('180', plain, 38.41/38.88 binintersectSubset1 = 38.41/38.88 (![X2,X3]: ((binintersect(X2,X3) = X2) => subset(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectSubset4, axiom, binintersectSubset4 <=> 38.41/38.88 (![A,B]: (subset(B,A) => (binintersect(A,B) = B)))). 38.41/38.88 tff('181', plain, 38.41/38.88 binintersectSubset4 = 38.41/38.88 (![X2,X3]: (subset(X3,X2) => (binintersect(X2,X3) = X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectRsub, axiom, binintersectRsub <=> 38.41/38.88 (![A,B]: subset(binintersect(A,B),B))). 38.41/38.88 tff('182', plain, 38.41/38.88 binintersectRsub = (![X2,X3]: subset(binintersect(X2,X3),X3)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(disjointsetsI1, axiom, disjointsetsI1 <=> 38.41/38.88 (![A,B]: 38.41/38.88 ((~(?[Xx]: (in(Xx,B) & in(Xx,A)))) => (binintersect(A,B) = emptyset)))). 38.41/38.88 tff('183', plain, 38.41/38.88 disjointsetsI1 = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((~(?[X4]: (in(X4,X3) & in(X4,X2)))) => 38.41/38.88 (binintersect(X2,X3) = emptyset))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectER, axiom, binintersectER <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,B)))). 38.41/38.88 tff('184', plain, 38.41/38.88 binintersectER = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectSubset3, axiom, binintersectSubset3 <=> 38.41/38.88 (![A,B]: ((binintersect(A,B) = B) => subset(B,A)))). 38.41/38.88 tff('185', plain, 38.41/38.88 binintersectSubset3 = 38.41/38.88 (![X2,X3]: ((binintersect(X2,X3) = X3) => subset(X3,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectSubset2, axiom, binintersectSubset2 <=> 38.41/38.88 (![A,B]: (subset(A,B) => (binintersect(A,B) = A)))). 38.41/38.88 tff('186', plain, 38.41/38.88 binintersectSubset2 = 38.41/38.88 (![X2,X3]: (subset(X2,X3) => (binintersect(X2,X3) = X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectLsub, axiom, binintersectLsub <=> 38.41/38.88 (![A,B]: subset(binintersect(A,B),A))). 38.41/38.88 tff('187', plain, 38.41/38.88 binintersectLsub = (![X2,X3]: subset(binintersect(X2,X3),X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectEL, axiom, binintersectEL <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,binintersect(A,B)) => in(Xx,A)))). 38.41/38.88 tff('188', plain, 38.41/38.88 binintersectEL = (![X2,X3,X4]: (in(X4,binintersect(X2,X3)) => in(X4,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectSubset5, axiom, binintersectSubset5 <=> 38.41/38.88 (![A,B,C]: (subset(C,A) => (subset(C,B) => subset(C,binintersect(A,B)))))). 38.41/38.88 tff('189', plain, 38.41/38.88 binintersectSubset5 = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (subset(X4,X2) => (subset(X4,X3) => subset(X4,binintersect(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binintersectI, axiom, binintersectI <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => (in(Xx,B) => in(Xx,binintersect(A,B)))))). 38.41/38.88 tff('190', plain, 38.41/38.88 binintersectI = 38.41/38.88 (![X2,X3,X4]: (in(X4,X2) => (in(X4,X3) => in(X4,binintersect(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binunionRsub, axiom, binunionRsub <=> (![A,B]: subset(B,binunion(A,B)))). 38.41/38.88 tff('191', plain, binunionRsub = (![X2,X3]: subset(X3,binunion(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binunionLsub, axiom, binunionLsub <=> (![A,B]: subset(A,binunion(A,B)))). 38.41/38.88 tff('192', plain, binunionLsub = (![X2,X3]: subset(X2,binunion(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binunionE, axiom, binunionE <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,binunion(A,B)) => (in(Xx,B) | in(Xx,A))))). 38.41/38.88 tff('193', plain, 38.41/38.88 binunionE = 38.41/38.88 (![X2,X3,X4]: (in(X4,binunion(X2,X3)) => (in(X4,X3) | in(X4,X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binunionEcases, axiom, binunionEcases <=> 38.41/38.88 (![A,B,Xx,Xphi:$o]: 38.41/38.88 (in(Xx,binunion(A,B)) => 38.41/38.88 ((in(Xx,A) => Xphi) => ((in(Xx,B) => Xphi) => Xphi))))). 38.41/38.88 tff('194', plain, 38.41/38.88 binunionEcases = 38.41/38.88 (![X2,X3,X4,X5:$o]: 38.41/38.88 (in(X4,binunion(X2,X3)) => 38.41/38.88 ((in(X4,X2) => X5) => ((in(X4,X3) => X5) => X5)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binunionIR, axiom, binunionIR <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,B) => in(Xx,binunion(A,B))))). 38.41/38.88 tff('195', plain, 38.41/38.88 binunionIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,binunion(X2,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairset2IR, axiom, upairset2IR <=> 38.41/38.88 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 38.41/38.88 tff('196', plain, 38.41/38.88 upairset2IR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(binunionIL, axiom, binunionIL <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => in(Xx,binunion(A,B))))). 38.41/38.88 tff('197', plain, 38.41/38.88 binunionIL = (![X2,X3,X4]: (in(X4,X2) => in(X4,binunion(X2,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(sepSubset, axiom, sepSubset <=> 38.41/38.88 (![A,Xphi:($i > $o)]: subset(dsetconstr(A,^[Xx]: Xphi(Xx)),A))). 38.41/38.88 tff('198', plain, 38.41/38.88 sepSubset = 38.41/38.88 (![X2,X3:($i > $o)]: subset(dsetconstr(X2,^[V_1]: X3(V_1)),X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(sepInPowerset, axiom, sepInPowerset <=> 38.41/38.88 (![A,Xphi:($i > $o)]: in(dsetconstr(A,^[Xx]: Xphi(Xx)),powerset(A)))). 38.41/38.88 tff('199', plain, 38.41/38.88 sepInPowerset = 38.41/38.88 (![X2,X3:($i > $o)]: in(dsetconstr(X2,^[V_1]: X3(V_1)),powerset(X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(powersetsubset, axiom, powersetsubset <=> 38.41/38.88 (![A,B]: (subset(A,B) => subset(powerset(A),powerset(B))))). 38.41/38.88 tff('200', plain, 38.41/38.88 powersetsubset = 38.41/38.88 (![X2,X3]: (subset(X2,X3) => subset(powerset(X2),powerset(X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(inPowerset, axiom, inPowerset <=> (![A]: in(A,powerset(A)))). 38.41/38.88 tff('201', plain, inPowerset = (![X2]: in(X2,powerset(X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(powersetE1, axiom, powersetE1 <=> 38.41/38.88 (![A,B]: (in(B,powerset(A)) => subset(B,A)))). 38.41/38.88 tff('202', plain, 38.41/38.88 powersetE1 = (![X2,X3]: (in(X3,powerset(X2)) => subset(X3,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(powersetI1, axiom, powersetI1 <=> 38.41/38.88 (![A,B]: (subset(B,A) => in(B,powerset(A))))). 38.41/38.88 tff('203', plain, 38.41/38.88 powersetI1 = (![X2,X3]: (subset(X3,X2) => in(X3,powerset(X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subsetemptysetimpeq, axiom, subsetemptysetimpeq <=> 38.41/38.88 (![A]: (subset(A,emptyset) => (A = emptyset)))). 38.41/38.88 tff('204', plain, 38.41/38.88 subsetemptysetimpeq = (![X2]: (subset(X2,emptyset) => (X2 = emptyset))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setextsub, axiom, setextsub <=> 38.41/38.88 (![A,B]: (subset(A,B) => (subset(B,A) => (A = B))))). 38.41/38.88 tff('205', plain, 38.41/38.88 setextsub = (![X2,X3]: (subset(X2,X3) => (subset(X3,X2) => (X2 = X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subset2powerset, axiom, subset2powerset <=> 38.41/38.88 (![A,B]: (subset(A,B) => in(A,powerset(B))))). 38.41/38.88 tff('206', plain, 38.41/38.88 subset2powerset = (![X2,X3]: (subset(X2,X3) => in(X2,powerset(X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoinSub2, axiom, setadjoinSub2 <=> 38.41/38.88 (![A,Xx,B]: (subset(A,B) => subset(A,setadjoin(Xx,B))))). 38.41/38.88 tff('207', plain, 38.41/38.88 setadjoinSub2 = 38.41/38.88 (![X2,X3,X4]: (subset(X2,X4) => subset(X2,setadjoin(X3,X4)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoinSub, axiom, setadjoinSub <=> 38.41/38.88 (![Xx,A]: subset(A,setadjoin(Xx,A)))). 38.41/38.88 tff('208', plain, setadjoinSub = (![X2,X3]: subset(X3,setadjoin(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subsetTrans, axiom, subsetTrans <=> 38.41/38.88 (![A,B,C]: (subset(A,B) => (subset(B,C) => subset(A,C))))). 38.41/38.88 tff('209', plain, 38.41/38.88 subsetTrans = 38.41/38.88 (![X2,X3,X4]: (subset(X2,X3) => (subset(X3,X4) => subset(X2,X4)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subsetRefl, axiom, subsetRefl <=> (![A]: subset(A,A))). 38.41/38.88 tff('210', plain, subsetRefl = (![X2]: subset(X2,X2)), define([status(thm)])). 38.41/38.88 tff(notequalI2, axiom, notequalI2 <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (A != B))))). 38.41/38.88 tff('211', plain, 38.41/38.88 notequalI2 = (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (X2 != X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(notequalI1, axiom, notequalI1 <=> (![A,B]: ((~subset(A,B)) => (A != B)))). 38.41/38.88 tff('212', plain, notequalI1 = (![X2,X3]: ((~subset(X2,X3)) => (X2 != X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(notsubsetI, axiom, notsubsetI <=> 38.41/38.88 (![A,B,Xx]: (in(Xx,A) => ((~in(Xx,B)) => (~subset(A,B)))))). 38.41/38.88 tff('213', plain, 38.41/38.88 notsubsetI = 38.41/38.88 (![X2,X3,X4]: (in(X4,X2) => ((~in(X4,X3)) => (~subset(X2,X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subsetE2, axiom, subsetE2 <=> 38.41/38.88 (![A,B,Xx]: (subset(A,B) => ((~in(Xx,B)) => (~in(Xx,A)))))). 38.41/38.88 tff('214', plain, 38.41/38.88 subsetE2 = 38.41/38.88 (![X2,X3,X4]: (subset(X2,X3) => ((~in(X4,X3)) => (~in(X4,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subsetE, axiom, subsetE <=> 38.41/38.88 (![A,B,Xx]: (subset(A,B) => (in(Xx,A) => in(Xx,B))))). 38.41/38.88 tff('215', plain, 38.41/38.88 subsetE = (![X2,X3,X4]: (subset(X2,X3) => (in(X4,X2) => in(X4,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptysetsubset, axiom, emptysetsubset <=> (![A]: subset(emptyset,A))). 38.41/38.88 tff('216', plain, emptysetsubset = (![X2]: subset(emptyset,X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subsetI2, axiom, subsetI2 <=> 38.41/38.88 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 38.41/38.88 tff('217', plain, 38.41/38.88 subsetI2 = 38.41/38.88 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(eqimpsubset1, axiom, eqimpsubset1 <=> (![A,B]: ((A = B) => subset(A,B)))). 38.41/38.88 tff('218', plain, eqimpsubset1 = (![X2,X3]: ((X2 = X3) => subset(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(eqimpsubset2, axiom, eqimpsubset2 <=> (![A,B]: ((A = B) => subset(B,A)))). 38.41/38.88 tff('219', plain, eqimpsubset2 = (![X2,X3]: ((X2 = X3) => subset(X3,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subsetI1, axiom, subsetI1 <=> 38.41/38.88 (![A,B]: ((![Xx]: (in(Xx,A) => in(Xx,B))) => subset(A,B)))). 38.41/38.88 tff('220', plain, 38.41/38.88 subsetI1 = 38.41/38.88 (![X2,X3]: ((![X4]: (in(X4,X2) => in(X4,X3))) => subset(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dsetconstr__Cong, axiom, dsetconstr__Cong <=> 38.41/38.88 (![A,B]: 38.41/38.88 ((A = B) => 38.41/38.88 (![Xphi:($i > $o),Xpsi:($i > $o)]: 38.41/38.88 ((![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: (in(Xy,B) => ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy))))))) => 38.41/38.88 (dsetconstr(A,^[Xx]: Xphi(Xx)) = dsetconstr(B,^[Xx]: Xpsi(Xx)))))))). 38.41/38.88 tff('221', plain, 38.41/38.88 dsetconstr__Cong = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((X2 = X3) => 38.41/38.88 (![X4:($i > $o),X5:($i > $o)]: 38.41/38.88 ((![X6]: 38.41/38.88 (in(X6,X2) => 38.41/38.88 (![X7]: (in(X7,X3) => ((X6 = X7) => (X4(X6) <=> X5(X7))))))) => 38.41/38.88 (dsetconstr(X2,^[V_1]: X4(V_1)) = dsetconstr(X3,^[V_2]: X5(V_2))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(descr__Cong, axiom, descr__Cong <=> 38.41/38.88 (![Xphi:($i > $o),Xpsi:($i > $o)]: 38.41/38.88 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 38.41/38.88 (exu(^[Xx]: Xphi(Xx)) => 38.41/38.88 (exu(^[Xx]: Xpsi(Xx)) => 38.41/38.88 (descr(^[Xx]: Xphi(Xx)) = descr(^[Xx]: Xpsi(Xx)))))))). 38.41/38.88 tff('222', plain, 38.41/38.88 descr__Cong = 38.41/38.88 (![X2:($i > $o),X3:($i > $o)]: 38.41/38.88 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 38.41/38.88 (exu(^[V_1]: X2(V_1)) => 38.41/38.88 (exu(^[V_2]: X3(V_2)) => 38.41/38.88 (descr(^[V_3]: X2(V_3)) = descr(^[V_4]: X3(V_4))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuEu, axiom, exuEu <=> 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 (exu(^[Xx]: Xphi(Xx)) => 38.41/38.88 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 38.41/38.88 tff('223', plain, 38.41/38.88 exuEu = 38.41/38.88 (![X2:($i > $o)]: 38.41/38.88 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(omega__Cong, axiom, omega__Cong <=> (omega = omega)). 38.41/38.88 tff('224', plain, omega__Cong = (omega = omega), define([status(thm)])). 38.41/38.88 tff(setunion__Cong, axiom, setunion__Cong <=> 38.41/38.88 (![A,B]: ((A = B) => (setunion(A) = setunion(B))))). 38.41/38.88 tff('225', plain, 38.41/38.88 setunion__Cong = (![X2,X3]: ((X2 = X3) => (setunion(X2) = setunion(X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(powerset__Cong, axiom, powerset__Cong <=> 38.41/38.88 (![A,B]: ((A = B) => (powerset(A) = powerset(B))))). 38.41/38.88 tff('226', plain, 38.41/38.88 powerset__Cong = (![X2,X3]: ((X2 = X3) => (powerset(X2) = powerset(X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoin__Cong, axiom, setadjoin__Cong <=> 38.41/38.88 (![Xx,Xy]: 38.41/38.88 ((Xx = Xy) => 38.41/38.88 (![Xz,Xu]: ((Xz = Xu) => (setadjoin(Xx,Xz) = setadjoin(Xy,Xu))))))). 38.41/38.88 tff('227', plain, 38.41/38.88 setadjoin__Cong = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((X2 = X3) => 38.41/38.88 (![X4,X5]: ((X4 = X5) => (setadjoin(X2,X4) = setadjoin(X3,X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptyset__Cong, axiom, emptyset__Cong <=> (emptyset = emptyset)). 38.41/38.88 tff('228', plain, emptyset__Cong = (emptyset = emptyset), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exu__Cong, axiom, exu__Cong <=> 38.41/38.88 (![Xphi:($i > $o),Xpsi:($i > $o)]: 38.41/38.88 ((![Xx,Xy]: ((Xx = Xy) => (Xphi(Xx) <=> Xpsi(Xy)))) => 38.41/38.88 (exu(^[Xx]: Xphi(Xx)) <=> exu(^[Xx]: Xpsi(Xx)))))). 38.41/38.88 tff('229', plain, 38.41/38.88 exu__Cong = 38.41/38.88 (![X2:($i > $o),X3:($i > $o)]: 38.41/38.88 ((![X4,X5]: ((X4 = X5) => (X2(X4) <=> X3(X5)))) => 38.41/38.88 (exu(^[V_1]: X2(V_1)) <=> exu(^[V_2]: X3(V_2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuE3u, axiom, exuE3u <=> 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 (exu(^[Xx]: Xphi(Xx)) => 38.41/38.88 (![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy))))))). 38.41/38.88 tff('230', plain, 38.41/38.88 exuE3u = 38.41/38.88 (![X2:($i > $o)]: 38.41/38.88 (exu(^[V_1]: X2(V_1)) => (![X3,X4]: (X2(X3) => (X2(X4) => (X3 = X4)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(in__Cong, axiom, in__Cong <=> 38.41/38.88 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) <=> in(Xy,B))))))). 38.41/38.88 tff('231', plain, 38.41/38.88 in__Cong = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) <=> in(X5,X3)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(inCongP, axiom, inCongP <=> 38.41/38.88 (![A,B]: ((A = B) => (![Xx,Xy]: ((Xx = Xy) => (in(Xx,A) => in(Xy,B))))))). 38.41/38.88 tff('232', plain, 38.41/38.88 inCongP = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((X2 = X3) => (![X4,X5]: ((X4 = X5) => (in(X4,X2) => in(X5,X3)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuI2, axiom, exuI2 <=> 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 ((?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx)))) => exu(^[Xx]: Xphi(Xx))))). 38.41/38.88 tff('233', plain, 38.41/38.88 exuI2 = 38.41/38.88 (![X2:($i > $o)]: 38.41/38.88 ((?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))) => exu(^[V_1]: X2(V_1)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuI3, axiom, exuI3 <=> 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 ((?[Xx]: Xphi(Xx)) => 38.41/38.88 ((![Xx,Xy]: (Xphi(Xx) => (Xphi(Xy) => (Xx = Xy)))) => 38.41/38.88 exu(^[Xx]: Xphi(Xx)))))). 38.41/38.88 tff('234', plain, 38.41/38.88 exuI3 = 38.41/38.88 (![X2:($i > $o)]: 38.41/38.88 ((?[X3]: X2(X3)) => 38.41/38.88 ((![X4,X5]: (X2(X4) => (X2(X5) => (X4 = X5)))) => 38.41/38.88 exu(^[V_1]: X2(V_1))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuI1, axiom, exuI1 <=> 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 ((?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx))) => 38.41/38.88 exu(^[Xx]: Xphi(Xx))))). 38.41/38.88 tff('235', plain, 38.41/38.88 exuI1 = 38.41/38.88 (![X2:($i > $o)]: 38.41/38.88 ((?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))) => 38.41/38.88 exu(^[V_1]: X2(V_1)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(notdallE, axiom, notdallE <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 38.41/38.88 tff('236', plain, 38.41/38.88 notdallE = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(notdexE, axiom, notdexE <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 38.41/38.88 tff('237', plain, 38.41/38.88 notdexE = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(prop2set2propI, axiom, prop2set2propI <=> 38.41/38.88 (![Xphi:$o]: (Xphi => set2prop(prop2set(Xphi))))). 38.41/38.88 tff('238', plain, 38.41/38.88 prop2set2propI = (![X2:$o]: (X2 => set2prop(prop2set(X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(prop2setI, axiom, prop2setI <=> 38.41/38.88 (![Xphi:$o]: (Xphi => in(emptyset,prop2set(Xphi))))). 38.41/38.88 tff('239', plain, prop2setI = (![X2:$o]: (X2 => in(emptyset,prop2set(X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(quantDeMorgan4, axiom, quantDeMorgan4 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((?[Xx]: ((~Xphi(Xx)) & in(Xx,A))) => (~(![Xx]: (in(Xx,A) => Xphi(Xx))))))). 38.41/38.88 tff('240', plain, 38.41/38.88 quantDeMorgan4 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((?[X4]: ((~X3(X4)) & in(X4,X2))) => (~(![X5]: (in(X5,X2) => X3(X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(quantDeMorgan3, axiom, quantDeMorgan3 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((~(?[Xx]: (Xphi(Xx) & in(Xx,A)))) => (![Xx]: (in(Xx,A) => (~Xphi(Xx))))))). 38.41/38.88 tff('241', plain, 38.41/38.88 quantDeMorgan3 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((~(?[X4]: (X3(X4) & in(X4,X2)))) => (![X5]: (in(X5,X2) => (~X3(X5)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(quantDeMorgan2, axiom, quantDeMorgan2 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((![Xx]: (in(Xx,A) => (~Xphi(Xx)))) => (~(?[Xx]: (Xphi(Xx) & in(Xx,A))))))). 38.41/38.88 tff('242', plain, 38.41/38.88 quantDeMorgan2 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((![X4]: (in(X4,X2) => (~X3(X4)))) => (~(?[X5]: (X3(X5) & in(X5,X2)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(quantDeMorgan1, axiom, quantDeMorgan1 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((~(![Xx]: (in(Xx,A) => Xphi(Xx)))) => (?[Xx]: ((~Xphi(Xx)) & in(Xx,A)))))). 38.41/38.88 tff('243', plain, 38.41/38.88 quantDeMorgan1 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((~(![X4]: (in(X4,X2) => X3(X4)))) => (?[X5]: ((~X3(X5)) & in(X5,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(vacuousDall, axiom, vacuousDall <=> 38.41/38.88 (![Xphi:($i > $o),Xx]: (in(Xx,emptyset) => Xphi(Xx)))). 38.41/38.88 tff('244', plain, 38.41/38.88 vacuousDall = (![X2:($i > $o),X3]: (in(X3,emptyset) => X2(X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptyE1, axiom, emptyE1 <=> 38.41/38.88 (![A,Xphi:($i > $o)]: 38.41/38.88 ((?[Xx]: (Xphi(Xx) & in(Xx,A))) => 38.41/38.88 ((dsetconstr(A,^[Xx]: Xphi(Xx)) = emptyset) => $false)))). 38.41/38.88 tff('245', plain, 38.41/38.88 emptyE1 = 38.41/38.88 (![X2,X3:($i > $o)]: 38.41/38.88 ((?[X4]: (X3(X4) & in(X4,X2))) => 38.41/38.88 ((dsetconstr(X2,^[V_1]: X3(V_1)) = emptyset) => $false))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairsetIR, axiom, upairsetIR <=> 38.41/38.88 (![Xx,Xy]: in(Xy,setadjoin(Xx,setadjoin(Xy,emptyset))))). 38.41/38.88 tff('246', plain, 38.41/38.88 upairsetIR = (![X2,X3]: in(X3,setadjoin(X2,setadjoin(X3,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairsetIL, axiom, upairsetIL <=> 38.41/38.88 (![Xx,Xy]: in(Xx,setadjoin(Xx,setadjoin(Xy,emptyset))))). 38.41/38.88 tff('247', plain, 38.41/38.88 upairsetIL = (![X2,X3]: in(X2,setadjoin(X2,setadjoin(X3,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(upairsetE, axiom, upairsetE <=> 38.41/38.88 (![Xx,Xy,Xz]: 38.41/38.88 (in(Xz,setadjoin(Xx,setadjoin(Xy,emptyset))) => ((Xz = Xy) | (Xz = Xx))))). 38.41/38.88 tff('248', plain, 38.41/38.88 upairsetE = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,setadjoin(X2,setadjoin(X3,emptyset))) => 38.41/38.88 ((X4 = X3) | (X4 = X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(singletonsswitch, axiom, singletonsswitch <=> 38.41/38.88 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => in(Xy,setadjoin(Xx,emptyset))))). 38.41/38.88 tff('249', plain, 38.41/38.88 singletonsswitch = 38.41/38.88 (![X2,X3]: 38.41/38.88 (in(X2,setadjoin(X3,emptyset)) => in(X3,setadjoin(X2,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(eqinunit, axiom, eqinunit <=> 38.41/38.88 (![Xx,Xy]: ((Xx = Xy) => in(Xx,setadjoin(Xy,emptyset))))). 38.41/38.88 tff('250', plain, 38.41/38.88 eqinunit = (![X2,X3]: ((X2 = X3) => in(X2,setadjoin(X3,emptyset)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(notinsingleton, axiom, notinsingleton <=> 38.41/38.88 (![Xx,Xy]: ((Xx != Xy) => (~in(Xy,setadjoin(Xx,emptyset)))))). 38.41/38.88 tff('251', plain, 38.41/38.88 notinsingleton = 38.41/38.88 (![X2,X3]: ((X2 != X3) => (~in(X3,setadjoin(X2,emptyset))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(uniqinunit, axiom, uniqinunit <=> 38.41/38.88 (![Xx,Xy]: (in(Xx,setadjoin(Xy,emptyset)) => (Xx = Xy)))). 38.41/38.88 tff('252', plain, 38.41/38.88 uniqinunit = (![X2,X3]: (in(X2,setadjoin(X3,emptyset)) => (X2 = X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(nonemptyImpWitness, axiom, nonemptyImpWitness <=> 38.41/38.88 (![A]: (nonempty(A) => (?[Xx]: (in(Xx,A)))))). 38.41/38.88 tff('253', plain, 38.41/38.88 nonemptyImpWitness = (![X2]: (nonempty(X2) => (?[X3]: (in(X3,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuE2, axiom, exuE2 <=> 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: (![Xy]: (Xphi(Xy) <=> (Xy = Xx))))))). 38.41/38.88 tff('254', plain, 38.41/38.88 exuE2 = 38.41/38.88 (![X2:($i > $o)]: 38.41/38.88 (exu(^[V_1]: X2(V_1)) => (?[X3]: (![X4]: (X2(X4) <=> (X4 = X3)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(subPowSU, axiom, subPowSU <=> 38.41/38.88 (![A,Xx]: (in(Xx,A) => in(Xx,powerset(setunion(A)))))). 38.41/38.88 tff('255', plain, 38.41/38.88 subPowSU = (![X2,X3]: (in(X3,X2) => in(X3,powerset(setunion(X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setunionE, axiom, setunionE <=> 38.41/38.88 (![A,Xx]: 38.41/38.88 (in(Xx,setunion(A)) => 38.41/38.88 (![Xphi:$o]: ((![B]: (in(Xx,B) => (in(B,A) => Xphi))) => Xphi))))). 38.41/38.88 tff('256', plain, 38.41/38.88 setunionE = 38.41/38.88 (![X2,X3]: 38.41/38.88 (in(X3,setunion(X2)) => 38.41/38.88 (![X4:$o]: ((![X5]: (in(X3,X5) => (in(X5,X2) => X4))) => X4)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setunionI, axiom, setunionI <=> 38.41/38.88 (![A,Xx,B]: (in(Xx,B) => (in(B,A) => in(Xx,setunion(A)))))). 38.41/38.88 tff('257', plain, 38.41/38.88 setunionI = 38.41/38.88 (![X2,X3,X4]: (in(X3,X4) => (in(X4,X2) => in(X3,setunion(X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(powersetE, axiom, powersetE <=> 38.41/38.88 (![A,B,Xx]: (in(B,powerset(A)) => (in(Xx,B) => in(Xx,A))))). 38.41/38.88 tff('258', plain, 38.41/38.88 powersetE = 38.41/38.88 (![X2,X3,X4]: (in(X3,powerset(X2)) => (in(X4,X3) => in(X4,X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptyInPowerset, axiom, emptyInPowerset <=> 38.41/38.88 (![A]: in(emptyset,powerset(A)))). 38.41/38.88 tff('259', plain, emptyInPowerset = (![X2]: in(emptyset,powerset(X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptyinPowerset, axiom, emptyinPowerset <=> 38.41/38.88 (![A]: in(emptyset,powerset(A)))). 38.41/38.88 tff('260', plain, emptyinPowerset = (![X2]: in(emptyset,powerset(X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(powersetI, axiom, powersetI <=> 38.41/38.88 (![A,B]: ((![Xx]: (in(Xx,B) => in(Xx,A))) => in(B,powerset(A))))). 38.41/38.88 tff('261', plain, 38.41/38.88 powersetI = 38.41/38.88 (![X2,X3]: ((![X4]: (in(X4,X3) => in(X4,X2))) => in(X3,powerset(X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setoftrueEq, axiom, setoftrueEq <=> 38.41/38.88 (![A]: (dsetconstr(A,^[Xx]: $true) = A))). 38.41/38.88 tff('262', plain, setoftrueEq = (![X2]: (dsetconstr(X2,^[V_1]: $true) = X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoinOr, axiom, setadjoinOr <=> 38.41/38.88 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) => (in(Xy,A) | (Xy = Xx))))). 38.41/38.88 tff('263', plain, 38.41/38.88 setadjoinOr = 38.41/38.88 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) => (in(X4,X3) | (X4 = X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoinE, axiom, setadjoinE <=> 38.41/38.88 (![Xx,A,Xy]: 38.41/38.88 (in(Xy,setadjoin(Xx,A)) => 38.41/38.88 (![Xphi:$o]: (((Xy = Xx) => Xphi) => ((in(Xy,A) => Xphi) => Xphi)))))). 38.41/38.88 tff('264', plain, 38.41/38.88 setadjoinE = 38.41/38.88 (![X2,X3,X4]: 38.41/38.88 (in(X4,setadjoin(X2,X3)) => 38.41/38.88 (![X5:$o]: (((X4 = X2) => X5) => ((in(X4,X3) => X5) => X5))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoinIR, axiom, setadjoinIR <=> 38.41/38.88 (![Xx,A,Xy]: (in(Xy,A) => in(Xy,setadjoin(Xx,A))))). 38.41/38.88 tff('265', plain, 38.41/38.88 setadjoinIR = (![X2,X3,X4]: (in(X4,X3) => in(X4,setadjoin(X2,X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptyinunitempty, axiom, emptyinunitempty() = 38.41/38.88 in(emptyset,setadjoin(emptyset,emptyset))). 38.41/38.88 tff('266', plain, 38.41/38.88 emptyinunitempty = in(emptyset,setadjoin(emptyset,emptyset)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoinIL, axiom, setadjoinIL <=> (![Xx,Xy]: in(Xx,setadjoin(Xx,Xy)))). 38.41/38.88 tff('267', plain, setadjoinIL = (![X2,X3]: in(X2,setadjoin(X2,X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(nonemptyI1, axiom, nonemptyI1 <=> 38.41/38.88 (![A]: ((?[Xx]: in(Xx,A)) => nonempty(A)))). 38.41/38.88 tff('268', plain, nonemptyI1 = (![X2]: ((?[X3]: in(X3,X2)) => nonempty(X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(nonemptyI, axiom, nonemptyI <=> 38.41/38.88 (![A,Xphi:($i > $o),Xx]: 38.41/38.88 (in(Xx,A) => (Xphi(Xx) => nonempty(dsetconstr(A,^[Xy]: Xphi(Xy))))))). 38.41/38.88 tff('269', plain, 38.41/38.88 nonemptyI = 38.41/38.88 (![X2,X3:($i > $o),X4]: 38.41/38.88 (in(X4,X2) => (X3(X4) => nonempty(dsetconstr(X2,^[V_1]: X3(V_1)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(nonemptyE1, axiom, nonemptyE1 <=> 38.41/38.88 (![A]: (nonempty(A) => (?[Xx]: in(Xx,A))))). 38.41/38.88 tff('270', plain, nonemptyE1 = (![X2]: (nonempty(X2) => (?[X3]: in(X3,X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(nonempty, axiom, nonempty() = ^[Xx]: (Xx != emptyset)). 38.41/38.88 tff('271', plain, nonempty = (^[V_1]: (V_1 != emptyset)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setbeta, axiom, setbeta <=> 38.41/38.88 (![A,Xphi:($i > $o),Xx]: 38.41/38.88 (in(Xx,A) => (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) <=> Xphi(Xx))))). 38.41/38.88 tff('272', plain, 38.41/38.88 setbeta = 38.41/38.88 (![X2,X3:($i > $o),X4]: 38.41/38.88 (in(X4,X2) => (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) <=> X3(X4)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(noeltsimpempty, axiom, noeltsimpempty <=> 38.41/38.88 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 38.41/38.88 tff('273', plain, 38.41/38.88 noeltsimpempty = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptyI, axiom, emptyI <=> 38.41/38.88 (![A]: ((![Xx]: (~in(Xx,A))) => (A = emptyset)))). 38.41/38.88 tff('274', plain, 38.41/38.88 emptyI = (![X2]: ((![X3]: (~in(X3,X2))) => (X2 = emptyset))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setext, axiom, setext <=> 38.41/38.88 (![A,B]: 38.41/38.88 ((![Xx]: (in(Xx,A) => in(Xx,B))) => 38.41/38.88 ((![Xx]: (in(Xx,B) => in(Xx,A))) => (A = B))))). 38.41/38.88 tff('275', plain, 38.41/38.88 setext = 38.41/38.88 (![X2,X3]: 38.41/38.88 ((![X4]: (in(X4,X2) => in(X4,X3))) => 38.41/38.88 ((![X5]: (in(X5,X3) => in(X5,X2))) => (X2 = X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuE3e, axiom, exuE3e <=> 38.41/38.88 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => (?[Xx]: Xphi(Xx))))). 38.41/38.88 tff('276', plain, 38.41/38.88 exuE3e = (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => (?[X3]: X2(X3)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(notinemptyset, axiom, notinemptyset <=> (![Xx]: (~in(Xx,emptyset)))). 38.41/38.88 tff('277', plain, notinemptyset = (![X2]: (~in(X2,emptyset))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptysetimpfalse, axiom, emptysetimpfalse <=> 38.41/38.88 (![Xx]: (in(Xx,emptyset) => $false))). 38.41/38.88 tff('278', plain, emptysetimpfalse = (![X2]: (in(X2,emptyset) => $false)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptysetE, axiom, emptysetE <=> 38.41/38.88 (![Xx]: (in(Xx,emptyset) => (![Xphi:$o]: Xphi)))). 38.41/38.88 tff('279', plain, emptysetE = (![X2]: (in(X2,emptyset) => (![X3:$o]: X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(prop2setE, axiom, prop2setE <=> 38.41/38.88 (![Xphi:$o,Xx]: (in(Xx,prop2set(Xphi)) => Xphi))). 38.41/38.88 tff('280', plain, prop2setE = (![X2:$o,X3]: (in(X3,prop2set(X2)) => X2)), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exuE1, axiom, exuE1 <=> 38.41/38.88 (![Xphi:($i > $o)]: 38.41/38.88 (exu(^[Xx]: Xphi(Xx)) => 38.41/38.88 (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))))). 38.41/38.88 tff('281', plain, 38.41/38.88 exuE1 = 38.41/38.88 (![X2:($i > $o)]: 38.41/38.88 (exu(^[V_1]: X2(V_1)) => 38.41/38.88 (?[X3]: ((![X4]: (X2(X4) => (X3 = X4))) & X2(X3))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dsetconstrER, axiom, dsetconstrER <=> 38.41/38.88 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => Xphi(Xx)))). 38.41/38.88 tff('282', plain, 38.41/38.88 dsetconstrER = 38.41/38.88 (![X2,X3:($i > $o),X4]: (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => X3(X4))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dsetconstrEL, axiom, dsetconstrEL <=> 38.41/38.88 (![A,Xphi:($i > $o),Xx]: (in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))) => in(Xx,A)))). 38.41/38.88 tff('283', plain, 38.41/38.88 dsetconstrEL = 38.41/38.88 (![X2,X3:($i > $o),X4]: 38.41/38.88 (in(X4,dsetconstr(X2,^[V_1]: X3(V_1))) => in(X4,X2))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(dsetconstrI, axiom, dsetconstrI <=> 38.41/38.88 (![A,Xphi:($i > $o),Xx]: 38.41/38.88 (in(Xx,A) => (Xphi(Xx) => in(Xx,dsetconstr(A,^[Xy]: Xphi(Xy))))))). 38.41/38.88 tff('284', plain, 38.41/38.88 dsetconstrI = 38.41/38.88 (![X2,X3:($i > $o),X4]: 38.41/38.88 (in(X4,X2) => (X3(X4) => in(X4,dsetconstr(X2,^[V_1]: X3(V_1)))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(descrp, axiom, descrp <=> 38.41/38.88 (![Xphi:($i > $o)]: (exu(^[Xx]: Xphi(Xx)) => Xphi(descr(^[Xx]: Xphi(Xx)))))). 38.41/38.88 tff('285', plain, 38.41/38.88 descrp = 38.41/38.88 (![X2:($i > $o)]: (exu(^[V_1]: X2(V_1)) => X2(descr(^[V_2]: X2(V_2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(wellorderingAx, axiom, wellorderingAx <=> 38.41/38.88 (![A]: 38.41/38.88 (?[B]: 38.41/38.88 ((![C]: 38.41/38.88 (((?[Xx]: in(Xx,C)) & (![Xx]: (in(Xx,C) => in(Xx,A)))) => 38.41/38.88 (?[D,Xx]: 38.41/38.88 ((![E]: 38.41/38.88 (in(E,B) => (in(Xx,E) | (![Xy]: (in(Xy,E) => in(Xy,D)))))) & 38.41/38.88 (~(?[Xy]: (in(Xy,C) & in(Xy,D)))) & in(Xx,C) & in(D,B))))) & 38.41/38.88 (![C,D]: 38.41/38.88 ((in(D,B) & in(C,B)) => 38.41/38.88 ((![Xx]: (in(Xx,D) => in(Xx,C))) | 38.41/38.88 (![Xx]: (in(Xx,C) => in(Xx,D)))))) & 38.41/38.88 (![Xx,Xy]: 38.41/38.88 ((in(Xy,A) & in(Xx,A)) => 38.41/38.88 ((![C]: (in(C,B) => (in(Xx,C) <=> in(Xy,C)))) => (Xx = Xy)))) & 38.41/38.88 (![C]: (in(C,B) => (![Xx]: (in(Xx,C) => in(Xx,A))))))))). 38.41/38.88 tff('286', plain, 38.41/38.88 wellorderingAx = 38.41/38.88 (![X2]: 38.41/38.88 (?[X3]: 38.41/38.88 ((![X4]: 38.41/38.88 (((?[X5]: in(X5,X4)) & (![X6]: (in(X6,X4) => in(X6,X2)))) => 38.41/38.88 (?[X7,X8]: 38.41/38.88 ((![X9]: 38.41/38.88 (in(X9,X3) => 38.41/38.88 (in(X8,X9) | (![X10]: (in(X10,X9) => in(X10,X7)))))) & 38.41/38.88 (~(?[X11]: (in(X11,X4) & in(X11,X7)))) & in(X8,X4) & 38.41/38.88 in(X7,X3))))) & 38.41/38.88 (![X12,X13]: 38.41/38.88 ((in(X13,X3) & in(X12,X3)) => 38.41/38.88 ((![X14]: (in(X14,X13) => in(X14,X12))) | 38.41/38.88 (![X15]: (in(X15,X12) => in(X15,X13)))))) & 38.41/38.88 (![X16,X17]: 38.41/38.88 ((in(X17,X2) & in(X16,X2)) => 38.41/38.88 ((![X18]: (in(X18,X3) => (in(X16,X18) <=> in(X17,X18)))) => 38.41/38.88 (X16 = X17)))) & 38.41/38.88 (![X19]: (in(X19,X3) => (![X20]: (in(X20,X19) => in(X20,X2)))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(foundationAx, axiom, foundationAx <=> 38.41/38.88 (![A]: 38.41/38.88 ((?[Xx]: in(Xx,A)) => 38.41/38.88 (?[B]: ((~(?[Xx]: (in(Xx,A) & in(Xx,B)))) & in(B,A)))))). 38.41/38.88 tff('287', plain, 38.41/38.88 foundationAx = 38.41/38.88 (![X2]: 38.41/38.88 ((?[X3]: in(X3,X2)) => 38.41/38.88 (?[X4]: ((~(?[X5]: (in(X5,X2) & in(X5,X4)))) & in(X4,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(replAx, axiom, replAx <=> 38.41/38.88 (![Xphi:(($i * $i) > $o),A]: 38.41/38.88 ((![Xx]: (in(Xx,A) => exu(^[Xy]: Xphi(Xx,Xy)))) => 38.41/38.88 (?[B]: (![Xx]: (in(Xx,B) <=> (?[Xy]: (Xphi(Xy,Xx) & in(Xy,A))))))))). 38.41/38.88 tff('288', plain, 38.41/38.88 replAx = 38.41/38.88 (![X2:(($i * $i) > $o),X3]: 38.41/38.88 ((![X4]: (in(X4,X3) => exu(^[V_1]: X2(X4,V_1)))) => 38.41/38.88 (?[X5]: (![X6]: (in(X6,X5) <=> (?[X7]: (X2(X7,X6) & in(X7,X3)))))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(omegaIndAx, axiom, omegaIndAx <=> 38.41/38.88 (![A]: 38.41/38.88 (((![Xx]: ((in(Xx,A) & in(Xx,omega)) => in(setadjoin(Xx,Xx),A))) & 38.41/38.88 in(emptyset,A)) => 38.41/38.88 (![Xx]: (in(Xx,omega) => in(Xx,A)))))). 38.41/38.88 tff('289', plain, 38.41/38.88 omegaIndAx = 38.41/38.88 (![X2]: 38.41/38.88 (((![X3]: ((in(X3,X2) & in(X3,omega)) => in(setadjoin(X3,X3),X2))) & 38.41/38.88 in(emptyset,X2)) => 38.41/38.88 (![X4]: (in(X4,omega) => in(X4,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(omegaSAx, axiom, omegaSAx <=> 38.41/38.88 (![Xx]: (in(Xx,omega) => in(setadjoin(Xx,Xx),omega)))). 38.41/38.88 tff('290', plain, 38.41/38.88 omegaSAx = (![X2]: (in(X2,omega) => in(setadjoin(X2,X2),omega))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(omega0Ax, axiom, omega0Ax() = in(emptyset,omega)). 38.41/38.88 tff('291', plain, omega0Ax = in(emptyset,omega), define([status(thm)])). 38.41/38.88 tff(setunionAx, axiom, setunionAx <=> 38.41/38.88 (![A,Xx]: (in(Xx,setunion(A)) <=> (?[B]: (in(B,A) & in(Xx,B)))))). 38.41/38.88 tff('292', plain, 38.41/38.88 setunionAx = 38.41/38.88 (![X2,X3]: (in(X3,setunion(X2)) <=> (?[X4]: (in(X4,X2) & in(X3,X4))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(powersetAx, axiom, powersetAx <=> 38.41/38.88 (![A,B]: (in(B,powerset(A)) <=> (![Xx]: (in(Xx,B) => in(Xx,A)))))). 38.41/38.88 tff('293', plain, 38.41/38.88 powersetAx = 38.41/38.88 (![X2,X3]: (in(X3,powerset(X2)) <=> (![X4]: (in(X4,X3) => in(X4,X2))))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setadjoinAx, axiom, setadjoinAx <=> 38.41/38.88 (![Xx,A,Xy]: (in(Xy,setadjoin(Xx,A)) <=> (in(Xy,A) | (Xy = Xx))))). 38.41/38.88 tff('294', plain, 38.41/38.88 setadjoinAx = 38.41/38.88 (![X2,X3,X4]: (in(X4,setadjoin(X2,X3)) <=> (in(X4,X3) | (X4 = X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(emptysetAx, axiom, emptysetAx <=> (![Xx]: (~in(Xx,emptyset)))). 38.41/38.88 tff('295', plain, emptysetAx = (![X2]: (~in(X2,emptyset))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(setextAx, axiom, setextAx <=> 38.41/38.88 (![A,B]: ((![Xx]: (in(Xx,A) <=> in(Xx,B))) => (A = B)))). 38.41/38.88 tff('296', plain, 38.41/38.88 setextAx = (![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(exu, axiom, exu() = 38.41/38.88 ^[Xphi:($i > $o)]: (?[Xx]: ((![Xy]: (Xphi(Xy) => (Xx = Xy))) & Xphi(Xx)))). 38.41/38.88 tff('297', plain, 38.41/38.88 exu = 38.41/38.88 (^[V_1:($i > $o)]: (?[X2]: ((![X3]: (V_1(X3) => (X2 = X3))) & V_1(X2)))), 38.41/38.88 define([status(thm)])). 38.41/38.88 tff(breln1invE, conjecture, 38.41/38.88 (setextAx => 38.41/38.88 (emptysetAx => 38.41/38.88 (setadjoinAx => 38.41/38.88 (powersetAx => 38.41/38.88 (setunionAx => 38.41/38.88 (omega0Ax => 38.41/38.88 (omegaSAx => 38.41/38.88 (omegaIndAx => 38.41/38.88 (replAx => 38.41/38.88 (foundationAx => 38.41/38.88 (wellorderingAx => 38.41/38.88 (descrp => 38.41/38.88 (dsetconstrI => 38.41/38.88 (dsetconstrEL => 38.41/38.88 (dsetconstrER => 38.41/38.88 (exuE1 => 38.41/38.88 (prop2setE => 38.41/38.88 (emptysetE => 38.41/38.88 (emptysetimpfalse => 38.41/38.88 (notinemptyset => 38.41/38.88 (exuE3e => 38.41/38.88 (setext => 38.41/38.88 (emptyI => 38.41/38.88 (noeltsimpempty => 38.41/38.88 (setbeta => 38.41/38.88 (nonemptyE1 => 38.41/38.88 (nonemptyI => 38.41/38.88 (nonemptyI1 => 38.41/38.88 (setadjoinIL => 38.41/38.88 (emptyinunitempty => 38.41/38.88 (setadjoinIR => 38.41/38.88 (setadjoinE => 38.41/38.88 (setadjoinOr => 38.41/38.88 (setoftrueEq => 38.41/38.88 (powersetI => 38.41/38.88 (emptyinPowerset => 38.41/38.88 (emptyInPowerset => 38.41/38.88 (powersetE => 38.41/38.88 (setunionI => 38.41/38.88 (setunionE => 38.41/38.88 (subPowSU => 38.41/38.88 (exuE2 => 38.41/38.88 (nonemptyImpWitness => 38.41/38.88 (uniqinunit => 38.41/38.88 (notinsingleton => 38.41/38.88 (eqinunit => 38.41/38.88 (singletonsswitch => 38.41/38.88 (upairsetE => 38.41/38.88 (upairsetIL => 38.41/38.88 (upairsetIR => 38.41/38.88 (emptyE1 => 38.41/38.88 (vacuousDall => 38.41/38.88 (quantDeMorgan1 => 38.41/38.88 (quantDeMorgan2 => 38.41/38.88 (quantDeMorgan3 => 38.41/38.88 (quantDeMorgan4 => 38.41/38.88 (prop2setI => 38.41/38.88 (prop2set2propI => 38.41/38.88 (notdexE => 38.41/38.88 (notdallE => 38.41/38.88 (exuI1 => 38.41/38.88 (exuI3 => 38.41/38.88 (exuI2 => 38.41/38.88 (inCongP => 38.41/38.88 (in__Cong => 38.41/38.88 (exuE3u => 38.41/38.88 ( 38.41/38.88 exu__Cong => 38.41/38.88 ( 38.41/38.88 emptyset__Cong => 38.41/38.88 ( 38.41/38.88 setadjoin__Cong => 38.41/38.88 ( 38.41/38.88 powerset__Cong => 38.41/38.88 ( 38.41/38.88 setunion__Cong => 38.41/38.88 ( 38.41/38.88 omega__Cong => 38.41/38.88 ( 38.41/38.88 exuEu => 38.41/38.88 ( 38.41/38.88 descr__Cong => 38.41/38.88 ( 38.41/38.88 dsetconstr__Cong => 38.41/38.88 ( 38.41/38.88 subsetI1 => 38.41/38.88 ( 38.41/38.88 eqimpsubset2 => 38.41/38.88 ( 38.41/38.88 eqimpsubset1 => 38.41/38.88 ( 38.41/38.88 subsetI2 => 38.41/38.88 ( 38.41/38.88 emptysetsubset => 38.41/38.88 ( 38.41/38.88 subsetE => 38.41/38.88 ( 38.41/38.88 subsetE2 => 38.41/38.88 ( 38.41/38.88 notsubsetI => 38.41/38.88 ( 38.41/38.88 notequalI1 => 38.41/38.88 ( 38.41/38.88 notequalI2 => 38.41/38.88 ( 38.41/38.88 subsetRefl => 38.41/38.88 ( 38.41/38.88 subsetTrans => 38.41/38.88 ( 38.41/38.88 setadjoinSub => 38.41/38.88 ( 38.41/38.88 setadjoinSub2 => 38.41/38.88 ( 38.41/38.88 subset2powerset => 38.41/38.88 ( 38.41/38.88 setextsub => 38.41/38.88 ( 38.41/38.88 subsetemptysetimpeq => 38.41/38.88 ( 38.41/38.88 powersetI1 => 38.41/38.88 ( 38.41/38.88 powersetE1 => 38.41/38.88 ( 38.41/38.88 inPowerset => 38.41/38.88 ( 38.41/38.88 powersetsubset => 38.41/38.88 ( 38.41/38.88 sepInPowerset => 38.41/38.88 ( 38.41/38.88 sepSubset => 38.41/38.88 ( 38.41/38.88 binunionIL => 38.41/38.88 ( 38.41/38.88 upairset2IR => 38.41/38.88 ( 38.41/38.88 binunionIR => 38.41/38.88 ( 38.41/38.88 binunionEcases => 38.41/38.88 ( 38.41/38.88 binunionE => 38.41/38.88 ( 38.41/38.88 binunionLsub => 38.41/38.88 ( 38.41/38.88 binunionRsub => 38.41/38.88 ( 38.41/38.88 binintersectI => 38.41/38.88 ( 38.41/38.88 binintersectSubset5 => 38.41/38.88 ( 38.41/38.88 binintersectEL => 38.41/38.88 ( 38.41/38.88 binintersectLsub => 38.41/38.88 ( 38.41/38.88 binintersectSubset2 => 38.41/38.88 ( 38.41/38.88 binintersectSubset3 => 38.41/38.88 ( 38.41/38.88 binintersectER => 38.41/38.88 ( 38.41/38.88 disjointsetsI1 => 38.41/38.88 ( 38.41/38.88 binintersectRsub => 38.41/38.88 ( 38.41/38.88 binintersectSubset4 => 38.41/38.88 ( 38.41/38.88 binintersectSubset1 => 38.41/38.88 ( 38.41/38.88 bs114d => 38.41/38.88 ( 38.41/38.88 setminusI => 38.41/38.88 ( 38.41/38.88 setminusEL => 38.41/38.88 ( 38.41/38.88 setminusER => 38.41/38.88 ( 38.41/38.88 setminusSubset2 => 38.41/38.88 ( 38.41/38.88 setminusERneg => 38.41/38.88 ( 38.41/38.88 setminusELneg => 38.41/38.88 ( 38.41/38.88 setminusILneg => 38.41/38.88 ( 38.41/38.88 setminusIRneg => 38.41/38.88 ( 38.41/38.88 setminusLsub => 38.41/38.88 ( 38.41/38.88 setminusSubset1 => 38.41/38.88 ( 38.41/38.88 symdiffE => 38.41/38.88 ( 38.41/38.88 symdiffI1 => 38.41/38.88 ( 38.41/38.88 symdiffI2 => 38.41/38.88 ( 38.41/38.88 symdiffIneg1 => 38.41/38.88 ( 38.41/38.88 symdiffIneg2 => 38.41/38.88 ( 38.41/38.88 secondinupair => 38.41/38.88 ( 38.41/38.88 setukpairIL => 38.41/38.88 ( 38.41/38.88 setukpairIR => 38.41/38.88 ( 38.41/38.88 kpairiskpair => 38.41/38.88 ( 38.41/38.88 kpairp => 38.41/38.88 ( 38.41/38.88 singletonsubset => 38.41/38.88 ( 38.41/38.88 singletoninpowerset => 38.41/38.88 ( 38.41/38.88 singletoninpowunion => 38.41/38.88 ( 38.41/38.88 upairset2E => 38.41/38.88 ( 38.41/38.88 upairsubunion => 38.41/38.88 ( 38.41/38.88 upairinpowunion => 38.41/38.88 ( 38.41/38.88 ubforcartprodlem1 => 38.41/38.88 ( 38.41/38.88 ubforcartprodlem2 => 38.41/38.88 ( 38.41/38.88 ubforcartprodlem3 => 38.41/38.88 ( 38.41/38.88 cartprodpairin => 38.41/38.88 ( 38.41/38.88 cartprodmempair1 => 38.41/38.88 ( 38.41/38.88 cartprodmempair => 38.41/38.88 ( 38.41/38.88 setunionE2 => 38.41/38.88 ( 38.41/38.88 setunionsingleton1 => 38.41/38.88 ( 38.41/38.88 setunionsingleton2 => 38.41/38.88 ( 38.41/38.88 setunionsingleton => 38.41/38.88 ( 38.41/38.88 singletonprop => 38.41/38.88 ( 38.41/38.88 ex1E1 => 38.41/38.88 ( 38.41/38.88 ex1I => 38.41/38.88 ( 38.41/38.88 ex1I2 => 38.41/38.88 ( 38.41/38.88 singletonsuniq => 38.41/38.88 ( 38.41/38.88 setukpairinjL1 => 38.41/38.88 ( 38.41/38.88 kfstsingleton => 38.41/38.88 ( 38.41/38.88 theprop => 38.41/38.88 ( 38.41/38.88 kfstpairEq => 38.41/38.88 ( 38.41/38.88 cartprodfstin => 38.41/38.88 ( 38.41/38.88 setukpairinjL2 => 38.41/38.88 ( 38.41/38.88 setukpairinjL => 38.41/38.88 ( 38.41/38.88 setukpairinjR11 => 38.41/38.88 ( 38.41/38.88 setukpairinjR12 => 38.41/38.88 ( 38.41/38.88 setukpairinjR1 => 38.41/38.88 ( 38.41/38.88 upairequniteq => 38.41/38.88 ( 38.41/38.88 setukpairinjR2 => 38.41/38.88 ( 38.41/38.88 setukpairinjR => 38.41/38.88 ( 38.41/38.88 ksndsingleton => 38.41/38.88 ( 38.41/38.88 ksndpairEq => 38.41/38.88 ( 38.41/38.88 kpairsurjEq => 38.41/38.88 ( 38.41/38.88 cartprodsndin => 38.41/38.88 ( 38.41/38.88 cartprodpairmemEL => 38.41/38.88 ( 38.41/38.88 cartprodpairmemER => 38.41/38.88 ( 38.41/38.88 cartprodmempaircEq => 38.41/38.88 ( 38.41/38.88 cartprodfstpairEq => 38.41/38.88 ( 38.41/38.88 cartprodsndpairEq => 38.41/38.88 ( 38.41/38.88 cartprodpairsurjEq => 38.41/38.88 ( 38.41/38.88 dpsetconstrI => 38.41/38.88 ( 38.41/38.88 dpsetconstrSub => 38.41/38.88 ( 38.41/38.88 setOfPairsIsBReln => 38.41/38.88 ( 38.41/38.88 dpsetconstrERa => 38.41/38.88 ( 38.41/38.88 dpsetconstrEL1 => 38.41/38.88 ( 38.41/38.88 dpsetconstrEL2 => 38.41/38.88 ( 38.41/38.88 dpsetconstrER => 38.41/38.88 ( 38.41/38.88 funcImageSingleton => 38.41/38.88 ( 38.41/38.88 apProp => 38.41/38.88 ( 38.41/38.88 app => 38.41/38.88 ( 38.41/38.88 infuncsetfunc => 38.41/38.88 ( 38.41/38.88 ap2p => 38.41/38.88 ( 38.41/38.88 funcinfuncset => 38.41/38.88 ( 38.41/38.88 lamProp => 38.41/38.88 ( 38.41/38.88 lamp => 38.41/38.88 ( 38.41/38.88 lam2p => 38.41/38.88 ( 38.41/38.88 brelnall1 => 38.41/38.88 ( 38.41/38.88 brelnall2 => 38.41/38.88 ( 38.41/38.88 ex1E2 => 38.41/38.88 ( 38.41/38.88 funcGraphProp1 => 38.41/38.88 ( 38.41/38.88 funcGraphProp3 => 38.41/38.88 ( 38.41/38.88 funcGraphProp2 => 38.41/38.88 ( 38.41/38.88 funcextLem => 38.41/38.88 ( 38.41/38.88 funcGraphProp4 => 38.41/38.88 ( 38.41/38.88 subbreln => 38.41/38.88 ( 38.41/38.88 eqbreln => 38.41/38.88 ( 38.41/38.88 funcext => 38.41/38.88 ( 38.41/38.88 funcext2 => 38.41/38.88 ( 38.41/38.88 ap2apEq1 => 38.41/38.88 ( 38.41/38.88 ap2apEq2 => 38.41/38.88 ( 38.41/38.88 beta1 => 38.41/38.88 ( 38.41/38.88 eta1 => 38.41/38.88 ( 38.41/38.88 lam2lamEq => 38.41/38.88 ( 38.41/38.88 beta2 => 38.41/38.88 ( 38.41/38.88 eta2 => 38.41/38.88 ( 38.41/38.88 iffalseProp1 => 38.41/38.88 ( 38.41/38.88 iffalseProp2 => 38.41/38.88 ( 38.41/38.88 iftrueProp1 => 38.41/38.88 ( 38.41/38.88 iftrueProp2 => 38.41/38.88 ( 38.41/38.88 ifSingleton => 38.41/38.88 ( 38.41/38.88 ifp => 38.41/38.88 ( 38.41/38.88 theeq => 38.41/38.88 ( 38.41/38.88 iftrue => 38.41/38.88 ( 38.41/38.88 iffalse => 38.41/38.88 ( 38.41/38.88 iftrueorfalse => 38.41/38.88 ( 38.41/38.88 binintersectT_lem => 38.41/38.88 ( 38.41/38.88 binunionT_lem => 38.41/38.88 ( 38.41/38.88 powersetT_lem => 38.41/38.88 ( 38.41/38.88 setminusT_lem => 38.41/38.88 ( 38.41/38.88 complementT_lem => 38.41/38.88 ( 38.41/38.88 setextT => 38.41/38.88 ( 38.41/38.88 subsetTI => 38.41/38.88 ( 38.41/38.88 powersetTI1 => 38.41/38.88 ( 38.41/38.88 powersetTE1 => 38.41/38.88 ( 38.41/38.88 complementTI1 => 38.41/38.88 ( 38.41/38.88 complementTE1 => 38.41/38.88 ( 38.41/38.88 binintersectTELcontra => 38.41/38.88 ( 38.41/38.88 binintersectTERcontra => 38.41/38.88 ( 38.41/38.88 contrasubsetT => 38.41/38.88 ( 38.41/38.88 contrasubsetT1 => 38.41/38.88 ( 38.41/38.88 contrasubsetT2 => 38.41/38.88 ( 38.41/38.88 contrasubsetT3 => 38.41/38.88 ( 38.41/38.88 doubleComplementI1 => 38.41/38.88 ( 38.41/38.88 doubleComplementE1 => 38.41/38.88 ( 38.41/38.88 doubleComplementSub1 => 38.41/38.88 ( 38.41/38.88 doubleComplementSub2 => 38.41/38.88 ( 38.41/38.88 doubleComplementEq => 38.41/38.88 ( 38.41/38.88 complementTnotintersectT => 38.41/38.88 ( 38.41/38.88 complementImpComplementIntersect => 38.41/38.88 ( 38.41/38.88 complementSubsetComplementIntersect => 38.41/38.88 ( 38.41/38.88 complementInPowersetComplementIntersect => 38.41/38.88 ( 38.41/38.88 contraSubsetComplement => 38.41/38.88 ( 38.41/38.88 complementTcontraSubset => 38.41/38.88 ( 38.41/38.88 binunionTILcontra => 38.41/38.88 ( 38.41/38.88 binunionTIRcontra => 38.41/38.88 ( 38.41/38.88 inIntersectImpInUnion => 38.41/38.88 ( 38.41/38.88 inIntersectImpInUnion2 => 38.41/38.88 ( 38.41/38.88 inIntersectImpInIntersectUnions => 38.41/38.88 ( 38.41/38.88 intersectInPowersetIntersectUnions => 38.41/38.88 ( 38.41/38.88 inComplementUnionImpNotIn1 => 38.41/38.88 ( 38.41/38.88 inComplementUnionImpInComplement1 => 38.41/38.88 ( 38.41/38.88 binunionTE => 38.41/38.88 ( 38.41/38.88 binunionTEcontra => 38.41/38.88 ( 38.41/38.88 demorgan2a1 => 38.41/38.88 ( 38.41/38.88 complementUnionInPowersetComplement => 38.41/38.88 ( 38.41/38.88 demorgan2a2 => 38.41/38.88 ( 38.41/38.88 demorgan1a => 38.41/38.88 ( 38.41/38.88 demorgan1b => 38.41/38.88 ( 38.41/38.88 demorgan1 => 38.41/38.88 ( 38.41/38.88 demorgan2a => 38.41/38.88 ( 38.41/38.88 demorgan2b2 => 38.41/38.88 ( 38.41/38.88 demorgan2b => 38.41/38.88 ( 38.41/38.88 demorgan2 => 38.41/38.88 ( 38.41/38.88 woz13rule0 => 38.41/38.88 ( 38.41/38.88 woz13rule1 => 38.41/38.88 ( 38.41/38.88 woz13rule2 => 38.41/38.88 ( 38.41/38.88 woz13rule3 => 38.41/38.88 ( 38.41/38.88 woz13rule4 => 38.41/38.88 ( 38.41/38.88 woz1_1 => 38.41/38.88 ( 38.41/38.88 woz1_2 => 38.41/38.88 ( 38.41/38.88 woz1_3 => 38.41/38.88 ( 38.41/38.88 woz1_4 => 38.41/38.88 ( 38.41/38.88 woz1_5 => 38.41/38.88 ( 38.41/38.88 breln1all2 => 38.41/38.88 ( 38.41/38.88 breln1SetBreln1 => 38.41/38.88 ( 38.41/38.88 choice2fnsingleton => 38.41/38.88 ( 38.41/38.88 setOfPairsIsBReln1 => 38.41/38.88 ( 38.41/38.88 breln1all1 => 38.41/38.88 ( 38.41/38.88 subbreln1 => 38.41/38.88 ( 38.41/38.88 eqbreln1 => 38.41/38.88 ( 38.41/38.88 breln1invprop => 38.41/38.88 ( 38.41/38.88 breln1invI => 38.41/38.88 ( 38.41/38.88 ![A,R]: 38.41/38.88 (breln1( 38.41/38.88 A,R) => 38.41/38.88 (![Xx]: 38.41/38.88 (in(Xx,A) => 38.41/38.88 (![Xy]: 38.41/38.88 (in(Xy,A) => 38.41/38.88 (in( 38.41/38.88 kpair( 38.41/38.88 Xy,Xx), 38.41/38.88 breln1invset( 38.41/38.88 A,R)) => 38.41/38.88 in( 38.41/38.88 kpair( 38.41/38.88 Xx,Xy),R)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 38.41/38.88 tff(zf_stmt_0, conjecture, 38.41/38.88 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 38.41/38.88 ((![X5]: (~in(X5,emptyset))) => 38.41/38.88 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> ((X8 = X6) | in(X8,X7)))) => 38.41/38.88 ((![X9,X10]: 38.41/38.88 (in(X10,powerset(X9)) <=> (![X11]: (in(X11,X10) => in(X11,X9))))) => 38.41/38.88 ((![X12,X13]: 38.41/38.88 (in(X13,setunion(X12)) <=> (?[X14]: (in(X13,X14) & in(X14,X12))))) => 38.41/38.88 (in(emptyset,omega) => 38.41/38.88 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 38.41/38.88 ((![X16]: 38.41/38.88 ((in(emptyset,X16) & 38.41/38.88 (![X17]: 38.41/38.88 ((in(X17,omega) & in(X17,X16)) => 38.41/38.88 in(setadjoin(X17,X17),X16)))) => 38.41/38.88 (![X18]: (in(X18,omega) => in(X18,X16))))) => 38.41/38.88 ((![X19:(($i * $i) > $o),X20]: 38.41/38.88 ((![X21]: 38.41/38.88 (in(X21,X20) => 38.41/38.88 (?[X22]: 38.41/38.88 (X19(X21,X22) & (![X23]: (X19(X21,X23) => (X22 = X23))))))) => 38.41/38.88 (?[X24]: 38.41/38.88 (![X25]: 38.41/38.88 (in(X25,X24) <=> (?[X26]: (in(X26,X20) & X19(X26,X25)))))))) => 38.41/38.88 ((![X27]: 38.41/38.88 ((?[X28]: in(X28,X27)) => 38.41/38.88 (?[X29]: 38.41/38.88 (in(X29,X27) & (~(?[X30]: (in(X30,X29) & in(X30,X27)))))))) => 38.41/38.88 ((![X31]: 38.41/38.88 (?[X32]: 38.41/38.88 ((![X48]: 38.41/38.88 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31))))) & 38.41/38.88 (![X45,X46]: 38.41/38.88 ((in(X45,X31) & in(X46,X31)) => 38.41/38.88 ((![X47]: 38.41/38.88 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 38.41/38.88 (X45 = X46)))) & 38.41/38.88 (![X41,X42]: 38.41/38.88 ((in(X41,X32) & in(X42,X32)) => 38.41/38.88 ((![X44]: (in(X44,X41) => in(X44,X42))) | 38.41/38.88 (![X43]: (in(X43,X42) => in(X43,X41)))))) & 38.41/38.88 (![X33]: 38.41/38.88 (((![X35]: (in(X35,X33) => in(X35,X31))) & 38.41/38.88 (?[X34]: in(X34,X33))) => 38.41/38.88 (?[X36,X37]: 38.41/38.88 (in(X36,X32) & in(X37,X33) & 38.41/38.88 (~(?[X40]: (in(X40,X36) & in(X40,X33)))) & 38.41/38.88 (![X38]: 38.41/38.88 (in(X38,X32) => 38.41/38.88 ((![X39]: (in(X39,X38) => in(X39,X36))) | 38.41/38.88 in(X37,X38))))))))))) => 38.41/38.88 ((![X50:($i > $o)]: 38.41/38.88 ((?[X51]: (X50(X51) & (![X52]: (X50(X52) => (X51 = X52))))) => 38.41/38.88 X50(descr(^[V_1]: X50(V_1))))) => 38.41/38.88 ((![X53,X54:($i > $o),X55]: 38.41/38.88 (in(X55,X53) => 38.41/38.88 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 38.41/38.88 ((![X56,X57:($i > $o),X58]: 38.41/38.88 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 38.41/38.88 ((![X59,X60:($i > $o),X61]: 38.41/38.88 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 38.41/38.88 ((![X62:($i > $o)]: 38.41/38.88 ((?[X63]: 38.41/38.88 (X62(X63) & (![X64]: (X62(X64) => (X63 = X64))))) => 38.41/38.88 (?[X65]: 38.41/38.88 (X62(X65) & (![X66]: (X62(X66) => (X65 = X66))))))) => 38.41/38.88 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 38.41/38.88 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 38.41/38.88 ((![X71]: (in(X71,emptyset) => $false)) => 38.41/38.88 ((![X72]: (~in(X72,emptyset))) => 38.41/38.88 ((![X73:($i > $o)]: 38.41/38.88 ((?[X74]: 38.41/38.88 (X73(X74) & (![X75]: (X73(X75) => (X74 = X75))))) => 38.41/38.88 (?[X76]: X73(X76)))) => 38.41/38.88 ((![X77,X78]: 38.41/38.88 ((![X79]: (in(X79,X77) => in(X79,X78))) => 38.41/38.88 ((![X80]: (in(X80,X78) => in(X80,X77))) => 38.41/38.88 (X77 = X78)))) => 38.41/38.88 ((![X81]: 38.41/38.88 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 38.41/38.88 ((![X83]: 38.41/38.88 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 38.41/38.88 ((![X85,X86:($i > $o),X87]: 38.41/38.88 (in(X87,X85) => 38.41/38.88 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 38.41/38.88 X86(X87)))) => 38.41/38.88 ((![X88]: 38.41/38.88 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 38.41/38.88 ((![X90,X91:($i > $o),X92]: 38.41/38.88 (in(X92,X90) => 38.41/38.88 (X91(X92) => 38.41/38.88 (dsetconstr(X90,^[V_6]: X91(V_6)) != 38.41/38.88 emptyset)))) => 38.41/38.88 ((![X93]: 38.41/38.88 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 38.41/38.88 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 38.41/38.88 (in(emptyset,setadjoin(emptyset,emptyset)) => 38.41/38.88 ((![X97,X98,X99]: 38.41/38.88 (in(X99,X98) => 38.41/38.88 in(X99,setadjoin(X97,X98)))) => 38.41/38.88 ((![X100,X101,X102]: 38.41/38.88 (in(X102,setadjoin(X100,X101)) => 38.41/38.88 (![X103:$o]: 38.41/38.88 (((X102 = X100) => X103) => 38.41/38.88 ((in(X102,X101) => X103) => X103))))) => 38.41/38.88 ((![X104,X105,X106]: 38.41/38.88 (in(X106,setadjoin(X104,X105)) => 38.41/38.88 ((X106 = X104) | in(X106,X105)))) => 38.41/38.88 ((![X107]: 38.41/38.88 (dsetconstr(X107,^[V_7]: $true) = X107)) => 38.41/38.88 ((![X108,X109]: 38.41/38.88 ((![X110]: 38.41/38.88 (in(X110,X109) => in(X110,X108))) => 38.41/38.88 in(X109,powerset(X108)))) => 38.41/38.88 ((![X111]: in(emptyset,powerset(X111))) => 38.41/38.88 ((![X112]: in(emptyset,powerset(X112))) => 38.41/38.88 ((![X113,X114,X115]: 38.41/38.88 (in(X114,powerset(X113)) => 38.41/38.88 (in(X115,X114) => in(X115,X113)))) => 38.41/38.88 ((![X116,X117,X118]: 38.41/38.88 (in(X117,X118) => 38.41/38.88 (in(X118,X116) => 38.41/38.88 in(X117,setunion(X116))))) => 38.41/38.88 ((![X119,X120]: 38.41/38.88 (in(X120,setunion(X119)) => 38.41/38.88 (![X121:$o]: 38.41/38.88 ((![X122]: 38.41/38.88 (in(X120,X122) => 38.41/38.88 (in(X122,X119) => X121))) => 38.41/38.88 X121)))) => 38.41/38.88 ((![X123,X124]: 38.41/38.88 (in(X124,X123) => 38.41/38.88 in(X124, 38.41/38.88 powerset(setunion(X123))))) => 38.41/38.88 ((![X125:($i > $o)]: 38.41/38.88 ((?[X126]: 38.41/38.88 (X125(X126) & 38.41/38.88 (![X127]: 38.41/38.88 (X125(X127) => 38.41/38.88 (X126 = X127))))) => 38.41/38.88 (?[X128]: 38.41/38.88 (![X129]: 38.41/38.88 (X125(X129) <=> 38.41/38.88 (X129 = X128)))))) => 38.41/38.88 ((![X130]: 38.41/38.88 ((X130 != emptyset) => 38.41/38.88 (?[X131]: in(X131,X130)))) => 38.41/38.88 ((![X132,X133]: 38.41/38.88 (in(X132, 38.41/38.88 setadjoin(X133,emptyset)) => 38.41/38.88 (X132 = X133))) => 38.41/38.88 ((![X134,X135]: 38.41/38.88 ((X134 != X135) => 38.41/38.88 (~ 38.41/38.88 in(X135, 38.41/38.88 setadjoin(X134, 38.41/38.88 emptyset))))) => 38.41/38.88 ((![X136,X137]: 38.41/38.88 ((X136 = X137) => 38.41/38.88 in(X136, 38.41/38.88 setadjoin(X137, 38.41/38.88 emptyset)))) => 38.41/38.88 ((![X138,X139]: 38.41/38.88 (in(X138, 38.41/38.88 setadjoin(X139, 38.41/38.88 emptyset)) => 38.41/38.88 in(X139, 38.41/38.88 setadjoin(X138, 38.41/38.88 emptyset)))) => 38.41/38.88 ((![X140,X141,X142]: 38.41/38.88 (in(X142, 38.41/38.88 setadjoin(X140, 38.41/38.88 setadjoin( 38.41/38.88 X141, 38.41/38.88 emptyset))) => 38.41/38.88 ((X142 = X140) | 38.41/38.88 (X142 = X141)))) => 38.41/38.88 ((![X143,X144]: 38.41/38.88 in(X143, 38.41/38.88 setadjoin(X143, 38.41/38.88 setadjoin( 38.41/38.88 X144, 38.41/38.88 emptyset)))) => 38.41/38.88 ((![X145,X146]: 38.41/38.88 in(X146, 38.41/38.88 setadjoin(X145, 38.41/38.88 setadjoin( 38.41/38.88 X146, 38.41/38.88 emptyset)))) => 38.41/38.88 ((![X147,X148:($i > $o)]: 38.41/38.88 ((?[X149]: 38.41/38.88 (in(X149,X147) & 38.41/38.88 X148(X149))) => 38.41/38.88 ((dsetconstr( 38.41/38.88 X147, 38.41/38.88 ^[V_8]: X148(V_8)) = 38.41/38.88 emptyset) => 38.41/38.88 $false))) => 38.41/38.88 ((![X150:($i > $o),X151]: 38.41/38.88 (in(X151,emptyset) => 38.41/38.88 X150(X151))) => 38.41/38.88 ((![X152,X153:($i > $o)]: 38.41/38.88 ((~ 38.41/38.88 (![X154]: 38.41/38.88 (in(X154,X152) => 38.41/38.88 X153(X154)))) => 38.41/38.88 (?[X155]: 38.41/38.88 (in(X155,X152) & 38.41/38.88 (~X153(X155)))))) => 38.41/38.88 ((![X156, 38.41/38.88 X157:($i > $o)]: 38.41/38.88 ((![X158]: 38.41/38.88 (in(X158,X156) => 38.41/38.88 (~X157(X158)))) => 38.41/38.88 (~ 38.41/38.88 (?[X159]: 38.41/38.88 (in( 38.41/38.88 X159,X156) & 38.41/38.88 X157(X159)))))) => 38.41/38.88 ((![X160, 38.41/38.88 X161:($i > $o)]: 38.41/38.88 ((~ 38.41/38.88 (?[X162]: 38.41/38.88 (in( 38.41/38.88 X162,X160) & 38.41/38.88 X161(X162)))) => 38.41/38.88 (![X163]: 38.41/38.88 (in(X163,X160) => 38.41/38.88 (~X161(X163)))))) => 38.41/38.88 ((![X164, 38.41/38.88 X165:($i > $o)]: 38.41/38.88 ((?[X166]: 38.41/38.88 (in( 38.41/38.88 X166,X164) & 38.41/38.88 (~ 38.41/38.88 X165( 38.41/38.88 X166)))) => 38.41/38.88 (~ 38.41/38.88 (![X167]: 38.41/38.88 (in( 38.41/38.88 X167,X164) => 38.41/38.88 X165( 38.41/38.88 X167)))))) => 38.41/38.88 ((![X168:$o]: 38.41/38.88 (X168 => 38.41/38.88 in(emptyset, 38.41/38.88 prop2set( 38.41/38.88 X168)))) => 38.41/38.88 ((![X169:$o]: 38.41/38.88 (X169 => 38.41/38.88 set2prop( 38.41/38.88 prop2set( 38.41/38.88 X169)))) => 38.41/38.88 ((![X170, 38.41/38.88 X171:( 38.41/38.88 $i > $o)]: 38.41/38.88 ((~ 38.41/38.88 (?[X172]: 38.41/38.88 (in( 38.41/38.88 X172,X170) & 38.41/38.88 X171( 38.41/38.88 X172)))) => 38.41/38.88 (![X173]: 38.41/38.88 ( 38.41/38.88 in( 38.41/38.88 X173,X170) => 38.41/38.88 ( 38.41/38.88 ~ 38.41/38.88 X171( 38.41/38.88 X173)))))) => 38.41/38.88 ((![X174, 38.41/38.88 X175:( 38.41/38.88 $i > $o)]: 38.41/38.88 ((~ 38.41/38.88 ( 38.41/38.88 ![X176]: 38.41/38.88 (in( 38.41/38.88 X176,X174) => 38.41/38.88 X175( 38.41/38.88 X176)))) => 38.41/38.88 (?[X177]: 38.41/38.88 (in( 38.41/38.88 X177,X174) & 38.41/38.88 (~ 38.41/38.88 X175( 38.41/38.88 X177)))))) => 38.41/38.88 ((![X178:( 38.41/38.88 $i > $o)]: 38.41/38.88 ((?[X179]: 38.41/38.88 (X178( 38.41/38.88 X179) & 38.41/38.88 (![X180]: 38.41/38.88 (X178( 38.41/38.88 X180) => 38.41/38.88 (X179 = 38.41/38.88 X180))))) => 38.41/38.88 (?[X181]: 38.41/38.88 (X178( 38.41/38.88 X181) & 38.41/38.88 (![X182]: 38.41/38.88 (X178( 38.41/38.88 X182) => 38.41/38.88 (X181 = 38.41/38.88 X182))))))) => 38.41/38.88 ((![X183:( 38.41/38.88 $i > $o)]: 38.41/38.88 (( 38.41/38.88 ?[X184]: 38.41/38.88 X183( 38.41/38.88 X184)) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X185, 38.41/38.88 X186]: 38.41/38.88 (X183( 38.41/38.88 X185) => 38.41/38.88 (X183( 38.41/38.88 X186) => 38.41/38.88 (X185 = 38.41/38.88 X186)))) => 38.41/38.88 ( 38.41/38.88 ?[X187]: 38.41/38.88 (X183( 38.41/38.88 X187) & 38.41/38.88 (![X188]: 38.41/38.88 (X183( 38.41/38.88 X188) => 38.41/38.88 (X187 = 38.41/38.88 X188)))))))) => 38.41/38.88 ((![X189:( 38.41/38.88 $i > $o)]: 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ?[X190]: 38.41/38.88 (![X191]: 38.41/38.88 (X189( 38.41/38.88 X191) <=> 38.41/38.88 (X191 = 38.41/38.88 X190)))) => 38.41/38.88 ( 38.41/38.88 ?[X192]: 38.41/38.88 (X189( 38.41/38.88 X192) & 38.41/38.88 (![X193]: 38.41/38.88 (X189( 38.41/38.88 X193) => 38.41/38.88 (X192 = 38.41/38.88 X193))))))) => 38.41/38.88 ((![X194, 38.41/38.88 X195]: 38.41/38.88 (( 38.41/38.88 X194 = 38.41/38.88 X195) => 38.41/38.88 (![X196, 38.41/38.88 X197]: 38.41/38.88 (( 38.41/38.88 X196 = 38.41/38.88 X197) => 38.41/38.88 (in( 38.41/38.88 X196,X194) => 38.41/38.88 in( 38.41/38.88 X197,X195)))))) => 38.41/38.88 ((![X198, 38.41/38.88 X199]: 38.41/38.88 (( 38.41/38.88 X198 = 38.41/38.88 X199) => 38.41/38.88 (![X200, 38.41/38.88 X201]: 38.41/38.88 (( 38.41/38.88 X200 = 38.41/38.88 X201) => 38.41/38.88 (in( 38.41/38.88 X200,X198) <=> 38.41/38.88 in( 38.41/38.88 X201,X199)))))) => 38.41/38.88 (( 38.41/38.88 ![X202:( 38.41/38.88 $i > $o)]: 38.41/38.88 (( 38.41/38.88 ?[X203]: 38.41/38.88 (X202( 38.41/38.88 X203) & 38.41/38.88 (![X204]: 38.41/38.88 (X202( 38.41/38.88 X204) => 38.41/38.88 (X203 = 38.41/38.88 X204))))) => 38.41/38.88 (![X205, 38.41/38.88 X206]: 38.41/38.88 (X202( 38.41/38.88 X205) => 38.41/38.88 (X202( 38.41/38.88 X206) => 38.41/38.88 (X205 = 38.41/38.88 X206)))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X207:( 38.41/38.88 $i > $o), 38.41/38.88 X208:( 38.41/38.88 $i > $o)]: 38.41/38.88 (( 38.41/38.88 ![X209, 38.41/38.88 X210]: 38.41/38.88 (( 38.41/38.88 X209 = 38.41/38.88 X210) => 38.41/38.88 (X207( 38.41/38.88 X209) <=> 38.41/38.88 X208( 38.41/38.88 X210)))) => 38.41/38.88 (( 38.41/38.88 ?[X211]: 38.41/38.88 (X207( 38.41/38.88 X211) & 38.41/38.88 (![X212]: 38.41/38.88 (X207( 38.41/38.88 X212) => 38.41/38.88 (X211 = 38.41/38.88 X212))))) <=> 38.41/38.88 (?[X213]: 38.41/38.88 (X208( 38.41/38.88 X213) & 38.41/38.88 (![X214]: 38.41/38.88 (X208( 38.41/38.88 X214) => 38.41/38.88 (X213 = 38.41/38.88 X214)))))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 emptyset = 38.41/38.88 emptyset) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X215, 38.41/38.88 X216]: 38.41/38.88 (( 38.41/38.88 X215 = 38.41/38.88 X216) => 38.41/38.88 (![X217, 38.41/38.88 X218]: 38.41/38.88 (( 38.41/38.88 X217 = 38.41/38.88 X218) => 38.41/38.88 (setadjoin( 38.41/38.88 X215,X217) = 38.41/38.88 setadjoin( 38.41/38.88 X216,X218)))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X219, 38.41/38.88 X220]: 38.41/38.88 (( 38.41/38.88 X219 = 38.41/38.88 X220) => 38.41/38.88 (powerset( 38.41/38.88 X219) = 38.41/38.88 powerset( 38.41/38.88 X220)))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X221, 38.41/38.88 X222]: 38.41/38.88 (( 38.41/38.88 X221 = 38.41/38.88 X222) => 38.41/38.88 (setunion( 38.41/38.88 X221) = 38.41/38.88 setunion( 38.41/38.88 X222)))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 omega = 38.41/38.88 omega) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X223:( 38.41/38.88 $i > $o)]: 38.41/38.88 (( 38.41/38.88 ?[X224]: 38.41/38.88 (X223( 38.41/38.88 X224) & 38.41/38.88 (![X225]: 38.41/38.88 (X223( 38.41/38.88 X225) => 38.41/38.88 (X224 = 38.41/38.88 X225))))) => 38.41/38.88 (![X226, 38.41/38.88 X227]: 38.41/38.88 (X223( 38.41/38.88 X226) => 38.41/38.88 (X223( 38.41/38.88 X227) => 38.41/38.88 (X226 = 38.41/38.88 X227)))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X228:( 38.41/38.88 $i > $o), 38.41/38.88 X229:( 38.41/38.88 $i > $o)]: 38.41/38.88 (( 38.41/38.88 ![X230, 38.41/38.88 X231]: 38.41/38.88 (( 38.41/38.88 X230 = 38.41/38.88 X231) => 38.41/38.88 (X228( 38.41/38.88 X230) <=> 38.41/38.88 X229( 38.41/38.88 X231)))) => 38.41/38.88 (( 38.41/38.88 ?[X232]: 38.41/38.88 (X228( 38.41/38.88 X232) & 38.41/38.88 (![X233]: 38.41/38.88 (X228( 38.41/38.88 X233) => 38.41/38.88 (X232 = 38.41/38.88 X233))))) => 38.41/38.88 (( 38.41/38.88 ?[X234]: 38.41/38.88 (X229( 38.41/38.88 X234) & 38.41/38.88 (![X235]: 38.41/38.88 (X229( 38.41/38.88 X235) => 38.41/38.88 (X234 = 38.41/38.88 X235))))) => 38.41/38.88 (descr( 38.41/38.88 ^[V_9]: 38.41/38.88 X228(V_9)) = 38.41/38.88 descr( 38.41/38.88 ^[V_10]: 38.41/38.88 X229( 38.41/38.88 V_10))))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X236, 38.41/38.88 X237]: 38.41/38.88 (( 38.41/38.88 X236 = 38.41/38.88 X237) => 38.41/38.88 (![X238:( 38.41/38.88 $i > $o), 38.41/38.88 X239:( 38.41/38.88 $i > $o)]: 38.41/38.88 (( 38.41/38.88 ![X240]: 38.41/38.88 (in( 38.41/38.88 X240,X236) => 38.41/38.88 (![X241]: 38.41/38.88 (in( 38.41/38.88 X241,X237) => 38.41/38.88 (( 38.41/38.88 X240 = 38.41/38.88 X241) => 38.41/38.88 (X238( 38.41/38.88 X240) <=> 38.41/38.88 X239( 38.41/38.88 X241))))))) => 38.41/38.88 (dsetconstr( 38.41/38.88 X236, 38.41/38.88 ^[V_11]: 38.41/38.88 X238( 38.41/38.88 V_11)) = 38.41/38.88 dsetconstr( 38.41/38.88 X237, 38.41/38.88 ^[V_12]: 38.41/38.88 X239( 38.41/38.88 V_12))))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X242, 38.41/38.88 X243]: 38.41/38.88 (( 38.41/38.88 ![X244]: 38.41/38.88 (in( 38.41/38.88 X244,X242) => 38.41/38.88 in( 38.41/38.88 X244,X243))) => 38.41/38.88 subset( 38.41/38.88 X242,X243))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X245, 38.41/38.88 X246]: 38.41/38.88 (( 38.41/38.88 X245 = 38.41/38.88 X246) => 38.41/38.88 subset( 38.41/38.88 X246,X245))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X247, 38.41/38.88 X248]: 38.41/38.88 (( 38.41/38.88 X247 = 38.41/38.88 X248) => 38.41/38.88 subset( 38.41/38.88 X247,X248))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X249, 38.41/38.88 X250]: 38.41/38.88 (( 38.41/38.88 ![X251]: 38.41/38.88 (in( 38.41/38.88 X251,X249) => 38.41/38.88 in( 38.41/38.88 X251,X250))) => 38.41/38.88 subset( 38.41/38.88 X249,X250))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X252]: 38.41/38.88 subset( 38.41/38.88 emptyset, 38.41/38.88 X252)) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X253, 38.41/38.88 X254,X255]: 38.41/38.88 (subset( 38.41/38.88 X253,X254) => 38.41/38.88 (in( 38.41/38.88 X255,X253) => 38.41/38.88 in( 38.41/38.88 X255,X254)))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X256, 38.41/38.88 X257,X258]: 38.41/38.88 (subset( 38.41/38.88 X256,X257) => 38.41/38.88 (( 38.41/38.88 ~ 38.41/38.88 in( 38.41/38.88 X258,X257)) => 38.41/38.88 (~ 38.41/38.88 in( 38.41/38.88 X258,X256))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X259, 38.41/38.88 X260,X261]: 38.41/38.88 (in( 38.41/38.88 X261,X259) => 38.41/38.88 (( 38.41/38.88 ~ 38.41/38.88 in( 38.41/38.88 X261,X260)) => 38.41/38.88 (~ 38.41/38.88 subset( 38.41/38.88 X259,X260))))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X262, 38.41/38.88 X263]: 38.41/38.88 (( 38.41/38.88 ~ 38.41/38.88 subset( 38.41/38.88 X262,X263)) => 38.41/38.88 (X262 != 38.41/38.88 X263))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X264, 38.41/38.88 X265,X266]: 38.41/38.88 (in( 38.41/38.88 X266,X264) => 38.41/38.88 (( 38.41/38.88 ~ 38.41/38.88 in( 38.41/38.88 X266,X265)) => 38.41/38.88 (X264 != 38.41/38.88 X265)))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X267]: 38.41/38.88 subset( 38.41/38.88 X267,X267)) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X268, 38.41/38.88 X269,X270]: 38.41/38.88 (subset( 38.41/38.88 X268,X269) => 38.41/38.88 (subset( 38.41/38.88 X269,X270) => 38.41/38.88 subset( 38.41/38.88 X268,X270)))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X271, 38.41/38.88 X272]: 38.41/38.88 subset( 38.41/38.88 X272, 38.41/38.88 setadjoin( 38.41/38.88 X271,X272))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X273, 38.41/38.88 X274,X275]: 38.41/38.88 (subset( 38.41/38.88 X273,X275) => 38.41/38.88 subset( 38.41/38.88 X273, 38.41/38.88 setadjoin( 38.41/38.88 X274,X275)))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X276, 38.41/38.88 X277]: 38.41/38.88 (subset( 38.41/38.88 X276,X277) => 38.41/38.88 in( 38.41/38.88 X276, 38.41/38.88 powerset( 38.41/38.88 X277)))) => 38.41/38.88 ( 38.41/38.88 ( 38.41/38.88 ![X278, 38.41/38.88 X279]: 38.41/38.88 (subset( 38.41/38.88 X278,X279) => 38.41/38.89 (subset( 38.41/38.89 X279,X278) => 38.41/38.89 (X278 = 38.41/38.89 X279)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X280]: 38.41/38.89 (subset( 38.41/38.89 X280, 38.41/38.89 emptyset) => 38.41/38.89 (X280 = 38.41/38.89 emptyset))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X281, 38.41/38.89 X282]: 38.41/38.89 (subset( 38.41/38.89 X282,X281) => 38.41/38.89 in( 38.41/38.89 X282, 38.41/38.89 powerset( 38.41/38.89 X281)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X283, 38.41/38.89 X284]: 38.41/38.89 (in( 38.41/38.89 X284, 38.41/38.89 powerset( 38.41/38.89 X283)) => 38.41/38.89 subset( 38.41/38.89 X284,X283))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X285]: 38.41/38.89 in( 38.41/38.89 X285, 38.41/38.89 powerset( 38.41/38.89 X285))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X286, 38.41/38.89 X287]: 38.41/38.89 (subset( 38.41/38.89 X286,X287) => 38.41/38.89 subset( 38.41/38.89 powerset( 38.41/38.89 X286), 38.41/38.89 powerset( 38.41/38.89 X287)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X288, 38.41/38.89 X289:( 38.41/38.89 $i > $o)]: 38.41/38.89 in( 38.41/38.89 dsetconstr( 38.41/38.89 X288, 38.41/38.89 ^[V_13]: 38.41/38.89 X289( 38.41/38.89 V_13)), 38.41/38.89 powerset( 38.41/38.89 X288))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X290, 38.41/38.89 X291:( 38.41/38.89 $i > $o)]: 38.41/38.89 subset( 38.41/38.89 dsetconstr( 38.41/38.89 X290, 38.41/38.89 ^[V_14]: 38.41/38.89 X291( 38.41/38.89 V_14)), 38.41/38.89 X290)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X292, 38.41/38.89 X293,X294]: 38.41/38.89 (in( 38.41/38.89 X294,X292) => 38.41/38.89 in( 38.41/38.89 X294, 38.41/38.89 binunion( 38.41/38.89 X292,X293)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X295, 38.41/38.89 X296]: 38.41/38.89 in( 38.41/38.89 X296, 38.41/38.89 setadjoin( 38.41/38.89 X295, 38.41/38.89 setadjoin( 38.41/38.89 X296, 38.41/38.89 emptyset)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X297, 38.41/38.89 X298,X299]: 38.41/38.89 (in( 38.41/38.89 X299,X298) => 38.41/38.89 in( 38.41/38.89 X299, 38.41/38.89 binunion( 38.41/38.89 X297,X298)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X300, 38.41/38.89 X301, 38.41/38.89 X302, 38.41/38.89 X303:$o]: 38.41/38.89 (in( 38.41/38.89 X302, 38.41/38.89 binunion( 38.41/38.89 X300,X301)) => 38.41/38.89 (( 38.41/38.89 in( 38.41/38.89 X302,X300) => 38.41/38.89 X303) => 38.41/38.89 (( 38.41/38.89 in( 38.41/38.89 X302,X301) => 38.41/38.89 X303) => 38.41/38.89 X303)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X304, 38.41/38.89 X305,X306]: 38.41/38.89 (in( 38.41/38.89 X306, 38.41/38.89 binunion( 38.41/38.89 X304,X305)) => 38.41/38.89 (in( 38.41/38.89 X306,X304) | 38.41/38.89 in( 38.41/38.89 X306,X305)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X307, 38.41/38.89 X308]: 38.41/38.89 subset( 38.41/38.89 X307, 38.41/38.89 binunion( 38.41/38.89 X307,X308))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X309, 38.41/38.89 X310]: 38.41/38.89 subset( 38.41/38.89 X310, 38.41/38.89 binunion( 38.41/38.89 X309,X310))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X311, 38.41/38.89 X312,X313]: 38.41/38.89 (in( 38.41/38.89 X313,X311) => 38.41/38.89 (in( 38.41/38.89 X313,X312) => 38.41/38.89 in( 38.41/38.89 X313, 38.41/38.89 binintersect( 38.41/38.89 X311,X312))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X314, 38.41/38.89 X315,X316]: 38.41/38.89 (subset( 38.41/38.89 X316,X314) => 38.41/38.89 (subset( 38.41/38.89 X316,X315) => 38.41/38.89 subset( 38.41/38.89 X316, 38.41/38.89 binintersect( 38.41/38.89 X314,X315))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X317, 38.41/38.89 X318,X319]: 38.41/38.89 (in( 38.41/38.89 X319, 38.41/38.89 binintersect( 38.41/38.89 X317,X318)) => 38.41/38.89 in( 38.41/38.89 X319,X317))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X320, 38.41/38.89 X321]: 38.41/38.89 subset( 38.41/38.89 binintersect( 38.41/38.89 X320,X321), 38.41/38.89 X320)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X322, 38.41/38.89 X323]: 38.41/38.89 (subset( 38.41/38.89 X322,X323) => 38.41/38.89 (binintersect( 38.41/38.89 X322,X323) = 38.41/38.89 X322))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X324, 38.41/38.89 X325]: 38.41/38.89 (( 38.41/38.89 binintersect( 38.41/38.89 X324,X325) = 38.41/38.89 X325) => 38.41/38.89 subset( 38.41/38.89 X325,X324))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X326, 38.41/38.89 X327,X328]: 38.41/38.89 (in( 38.41/38.89 X328, 38.41/38.89 binintersect( 38.41/38.89 X326,X327)) => 38.41/38.89 in( 38.41/38.89 X328,X327))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X329, 38.41/38.89 X330]: 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 ( 38.41/38.89 ?[X331]: 38.41/38.89 (in( 38.41/38.89 X331,X329) & 38.41/38.89 in( 38.41/38.89 X331,X330)))) => 38.41/38.89 (binintersect( 38.41/38.89 X329,X330) = 38.41/38.89 emptyset))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X332, 38.41/38.89 X333]: 38.41/38.89 subset( 38.41/38.89 binintersect( 38.41/38.89 X332,X333), 38.41/38.89 X333)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X334, 38.41/38.89 X335]: 38.41/38.89 (subset( 38.41/38.89 X335,X334) => 38.41/38.89 (binintersect( 38.41/38.89 X334,X335) = 38.41/38.89 X335))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X336, 38.41/38.89 X337]: 38.41/38.89 (( 38.41/38.89 binintersect( 38.41/38.89 X336,X337) = 38.41/38.89 X336) => 38.41/38.89 subset( 38.41/38.89 X336,X337))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X338, 38.41/38.89 X339,X340]: 38.41/38.89 (binintersect( 38.41/38.89 X338, 38.41/38.89 binunion( 38.41/38.89 X339,X340)) = 38.41/38.89 binunion( 38.41/38.89 binintersect( 38.41/38.89 X338,X339), 38.41/38.89 binintersect( 38.41/38.89 X338,X340)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X341, 38.41/38.89 X342,X343]: 38.41/38.89 (in( 38.41/38.89 X343,X341) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X343,X342)) => 38.41/38.89 in( 38.41/38.89 X343, 38.41/38.89 setminus( 38.41/38.89 X341,X342))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X344, 38.41/38.89 X345,X346]: 38.41/38.89 (in( 38.41/38.89 X346, 38.41/38.89 setminus( 38.41/38.89 X344,X345)) => 38.41/38.89 in( 38.41/38.89 X346,X344))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X347, 38.41/38.89 X348,X349]: 38.41/38.89 (in( 38.41/38.89 X349, 38.41/38.89 setminus( 38.41/38.89 X347,X348)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X349,X348)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X350, 38.41/38.89 X351]: 38.41/38.89 (subset( 38.41/38.89 X350,X351) => 38.41/38.89 (setminus( 38.41/38.89 X350,X351) = 38.41/38.89 emptyset))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X352, 38.41/38.89 X353,X354]: 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X354, 38.41/38.89 setminus( 38.41/38.89 X352,X353))) => 38.41/38.89 (in( 38.41/38.89 X354,X352) => 38.41/38.89 in( 38.41/38.89 X354,X353)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X355, 38.41/38.89 X356,X357]: 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X357, 38.41/38.89 setminus( 38.41/38.89 X355,X356))) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X357,X356)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X357,X355))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X358, 38.41/38.89 X359,X360]: 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X360,X358)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X360, 38.41/38.89 setminus( 38.41/38.89 X358,X359))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X361, 38.41/38.89 X362,X363]: 38.41/38.89 (in( 38.41/38.89 X363,X362) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X363, 38.41/38.89 setminus( 38.41/38.89 X361,X362))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X364, 38.41/38.89 X365]: 38.41/38.89 subset( 38.41/38.89 setminus( 38.41/38.89 X364,X365), 38.41/38.89 X364)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X366, 38.41/38.89 X367]: 38.41/38.89 (( 38.41/38.89 setminus( 38.41/38.89 X366,X367) = 38.41/38.89 emptyset) => 38.41/38.89 subset( 38.41/38.89 X366,X367))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X368, 38.41/38.89 X369,X370]: 38.41/38.89 (in( 38.41/38.89 X370, 38.41/38.89 symdiff( 38.41/38.89 X368,X369)) => 38.41/38.89 (![X371:$o]: 38.41/38.89 (( 38.41/38.89 in( 38.41/38.89 X370,X368) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X370,X369)) => 38.41/38.89 X371)) => 38.41/38.89 (( 38.41/38.89 ( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X370,X368)) => 38.41/38.89 ( 38.41/38.89 in( 38.41/38.89 X370,X369) => 38.41/38.89 X371)) => 38.41/38.89 X371))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X372, 38.41/38.89 X373,X374]: 38.41/38.89 (in( 38.41/38.89 X374,X372) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X374,X373)) => 38.41/38.89 in( 38.41/38.89 X374, 38.41/38.89 symdiff( 38.41/38.89 X372,X373))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X375, 38.41/38.89 X376,X377]: 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X377,X375)) => 38.41/38.89 (in( 38.41/38.89 X377,X376) => 38.41/38.89 in( 38.41/38.89 X377, 38.41/38.89 symdiff( 38.41/38.89 X375,X376))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X378, 38.41/38.89 X379,X380]: 38.41/38.89 (in( 38.41/38.89 X380,X378) => 38.41/38.89 (in( 38.41/38.89 X380,X379) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X380, 38.41/38.89 symdiff( 38.41/38.89 X378,X379)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X381, 38.41/38.89 X382,X383]: 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X383,X381)) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X383,X382)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X383, 38.41/38.89 symdiff( 38.41/38.89 X381,X382)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X384, 38.41/38.89 X385]: 38.41/38.89 in( 38.41/38.89 X385, 38.41/38.89 setadjoin( 38.41/38.89 X384, 38.41/38.89 setadjoin( 38.41/38.89 X385, 38.41/38.89 emptyset)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X386, 38.41/38.89 X387]: 38.41/38.89 in( 38.41/38.89 X386, 38.41/38.89 setunion( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X386, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X386, 38.41/38.89 setadjoin( 38.41/38.89 X387, 38.41/38.89 emptyset)), 38.41/38.89 emptyset))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X388, 38.41/38.89 X389]: 38.41/38.89 in( 38.41/38.89 X389, 38.41/38.89 setunion( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X388, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X388, 38.41/38.89 setadjoin( 38.41/38.89 X389, 38.41/38.89 emptyset)), 38.41/38.89 emptyset))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X390, 38.41/38.89 X391]: 38.41/38.89 iskpair( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X390, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X390, 38.41/38.89 setadjoin( 38.41/38.89 X391, 38.41/38.89 emptyset)), 38.41/38.89 emptyset)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X392, 38.41/38.89 X393]: 38.41/38.89 iskpair( 38.41/38.89 kpair( 38.41/38.89 X392,X393))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X394, 38.41/38.89 X395]: 38.41/38.89 (in( 38.41/38.89 X395,X394) => 38.41/38.89 subset( 38.41/38.89 setadjoin( 38.41/38.89 X395, 38.41/38.89 emptyset), 38.41/38.89 X394))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X396, 38.41/38.89 X397]: 38.41/38.89 (in( 38.41/38.89 X397,X396) => 38.41/38.89 in( 38.41/38.89 setadjoin( 38.41/38.89 X397, 38.41/38.89 emptyset), 38.41/38.89 powerset( 38.41/38.89 X396)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X398, 38.41/38.89 X399,X400]: 38.41/38.89 (in( 38.41/38.89 X400,X398) => 38.41/38.89 in( 38.41/38.89 setadjoin( 38.41/38.89 X400, 38.41/38.89 emptyset), 38.41/38.89 powerset( 38.41/38.89 binunion( 38.41/38.89 X398,X399))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X401, 38.41/38.89 X402,X403]: 38.41/38.89 (in( 38.41/38.89 X403, 38.41/38.89 setadjoin( 38.41/38.89 X401, 38.41/38.89 setadjoin( 38.41/38.89 X402, 38.41/38.89 emptyset))) => 38.41/38.89 (( 38.41/38.89 X403 = 38.41/38.89 X401) | 38.41/38.89 (X403 = 38.41/38.89 X402)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X404, 38.41/38.89 X405,X406]: 38.41/38.89 (in( 38.41/38.89 X406,X404) => 38.41/38.89 (![X407]: 38.41/38.89 (in( 38.41/38.89 X407,X405) => 38.41/38.89 subset( 38.41/38.89 setadjoin( 38.41/38.89 X406, 38.41/38.89 setadjoin( 38.41/38.89 X407, 38.41/38.89 emptyset)), 38.41/38.89 binunion( 38.41/38.89 X404,X405)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X408, 38.41/38.89 X409,X410]: 38.41/38.89 (in( 38.41/38.89 X410,X408) => 38.41/38.89 (![X411]: 38.41/38.89 (in( 38.41/38.89 X411,X409) => 38.41/38.89 in( 38.41/38.89 setadjoin( 38.41/38.89 X410, 38.41/38.89 setadjoin( 38.41/38.89 X411, 38.41/38.89 emptyset)), 38.41/38.89 powerset( 38.41/38.89 binunion( 38.41/38.89 X408,X409))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X412, 38.41/38.89 X413,X414]: 38.41/38.89 (in( 38.41/38.89 X414,X412) => 38.41/38.89 (![X415]: 38.41/38.89 (in( 38.41/38.89 X415,X413) => 38.41/38.89 subset( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X414, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X414, 38.41/38.89 setadjoin( 38.41/38.89 X415, 38.41/38.89 emptyset)), 38.41/38.89 emptyset)), 38.41/38.89 powerset( 38.41/38.89 binunion( 38.41/38.89 X412,X413))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X416, 38.41/38.89 X417,X418]: 38.41/38.89 (in( 38.41/38.89 X418,X416) => 38.41/38.89 (![X419]: 38.41/38.89 (in( 38.41/38.89 X419,X417) => 38.41/38.89 in( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X418, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X418, 38.41/38.89 setadjoin( 38.41/38.89 X419, 38.41/38.89 emptyset)), 38.41/38.89 emptyset)), 38.41/38.89 powerset( 38.41/38.89 powerset( 38.41/38.89 binunion( 38.41/38.89 X416,X417)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X420, 38.41/38.89 X421,X422]: 38.41/38.89 (in( 38.41/38.89 X422,X420) => 38.41/38.89 (![X423]: 38.41/38.89 (in( 38.41/38.89 X423,X421) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X422,X423), 38.41/38.89 powerset( 38.41/38.89 powerset( 38.41/38.89 binunion( 38.41/38.89 X420,X421)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X424, 38.41/38.89 X425,X426]: 38.41/38.89 (in( 38.41/38.89 X426,X424) => 38.41/38.89 (![X427]: 38.41/38.89 (in( 38.41/38.89 X427,X425) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X426,X427), 38.41/38.89 cartprod( 38.41/38.89 X424,X425)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X428, 38.41/38.89 X429,X430]: 38.41/38.89 (in( 38.41/38.89 X430, 38.41/38.89 cartprod( 38.41/38.89 X428,X429)) => 38.41/38.89 (?[X431]: 38.41/38.89 (in( 38.41/38.89 X431,X428) & 38.41/38.89 (?[X432]: 38.41/38.89 (in( 38.41/38.89 X432,X429) & 38.41/38.89 (X430 = 38.41/38.89 kpair( 38.41/38.89 X431,X432)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X433, 38.41/38.89 X434,X435]: 38.41/38.89 (in( 38.41/38.89 X435, 38.41/38.89 cartprod( 38.41/38.89 X433,X434)) => 38.41/38.89 iskpair( 38.41/38.89 X435))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X436, 38.41/38.89 X437]: 38.41/38.89 (in( 38.41/38.89 X437, 38.41/38.89 setunion( 38.41/38.89 X436)) => 38.41/38.89 (?[X438]: 38.41/38.89 (in( 38.41/38.89 X438,X436) & 38.41/38.89 in( 38.41/38.89 X437,X438))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X439]: 38.41/38.89 subset( 38.41/38.89 setunion( 38.41/38.89 setadjoin( 38.41/38.89 X439, 38.41/38.89 emptyset)), 38.41/38.89 X439)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X440]: 38.41/38.89 subset( 38.41/38.89 X440, 38.41/38.89 setunion( 38.41/38.89 setadjoin( 38.41/38.89 X440, 38.41/38.89 emptyset)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X441]: 38.41/38.89 (setunion( 38.41/38.89 setadjoin( 38.41/38.89 X441, 38.41/38.89 emptyset)) = 38.41/38.89 X441)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X442, 38.41/38.89 X443:( 38.41/38.89 $i > $o)]: 38.41/38.89 (( 38.41/38.89 ![X444]: 38.41/38.89 (in( 38.41/38.89 X444,X442) => 38.41/38.89 (![X445]: 38.41/38.89 (in( 38.41/38.89 X445,X442) => 38.41/38.89 (X443( 38.41/38.89 X444) => 38.41/38.89 (X443( 38.41/38.89 X445) => 38.41/38.89 (X444 = 38.41/38.89 X445))))))) => 38.41/38.89 (( 38.41/38.89 ?[X446]: 38.41/38.89 (in( 38.41/38.89 X446,X442) & 38.41/38.89 X443( 38.41/38.89 X446))) => 38.41/38.89 singleton( 38.41/38.89 dsetconstr( 38.41/38.89 X442, 38.41/38.89 ^[V_15]: 38.41/38.89 X443( 38.41/38.89 V_15)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X447, 38.41/38.89 X448:( 38.41/38.89 $i > $o)]: 38.41/38.89 (ex1( 38.41/38.89 X447, 38.41/38.89 ^[V_16]: 38.41/38.89 X448( 38.41/38.89 V_16)) => 38.41/38.89 (?[X449]: 38.41/38.89 (in( 38.41/38.89 X449,X447) & 38.41/38.89 X448( 38.41/38.89 X449))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X450, 38.41/38.89 X451:( 38.41/38.89 $i > $o), 38.41/38.89 X452]: 38.41/38.89 (in( 38.41/38.89 X452,X450) => 38.41/38.89 (X451( 38.41/38.89 X452) => 38.41/38.89 (( 38.41/38.89 ![X453]: 38.41/38.89 (in( 38.41/38.89 X453,X450) => 38.41/38.89 (X451( 38.41/38.89 X453) => 38.41/38.89 (X453 = 38.41/38.89 X452)))) => 38.41/38.89 ex1( 38.41/38.89 X450, 38.41/38.89 ^[V_17]: 38.41/38.89 X451( 38.41/38.89 V_17)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X454, 38.41/38.89 X455:( 38.41/38.89 $i > $o)]: 38.41/38.89 (( 38.41/38.89 ![X456]: 38.41/38.89 (in( 38.41/38.89 X456,X454) => 38.41/38.89 (![X457]: 38.41/38.89 (in( 38.41/38.89 X457,X454) => 38.41/38.89 (X455( 38.41/38.89 X456) => 38.41/38.89 (X455( 38.41/38.89 X457) => 38.41/38.89 (X456 = 38.41/38.89 X457))))))) => 38.41/38.89 (( 38.41/38.89 ?[X458]: 38.41/38.89 (in( 38.41/38.89 X458,X454) & 38.41/38.89 X455( 38.41/38.89 X458))) => 38.41/38.89 ex1( 38.41/38.89 X454, 38.41/38.89 ^[V_18]: 38.41/38.89 X455( 38.41/38.89 V_18))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X459, 38.41/38.89 X460]: 38.41/38.89 (( 38.41/38.89 setadjoin( 38.41/38.89 X459, 38.41/38.89 emptyset) = 38.41/38.89 setadjoin( 38.41/38.89 X460, 38.41/38.89 emptyset)) => 38.41/38.89 (X459 = 38.41/38.89 X460))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X461, 38.41/38.89 X462,X463]: 38.41/38.89 (in( 38.41/38.89 setadjoin( 38.41/38.89 X463, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X461, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X461, 38.41/38.89 setadjoin( 38.41/38.89 X462, 38.41/38.89 emptyset)), 38.41/38.89 emptyset))) => 38.41/38.89 (X461 = 38.41/38.89 X463))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X464]: 38.41/38.89 (iskpair( 38.41/38.89 X464) => 38.41/38.89 singleton( 38.41/38.89 dsetconstr( 38.41/38.89 setunion( 38.41/38.89 X464), 38.41/38.89 ^[V_19]: 38.41/38.89 in( 38.41/38.89 setadjoin( 38.41/38.89 V_19, 38.41/38.89 emptyset), 38.41/38.89 X464))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X465]: 38.41/38.89 (singleton( 38.41/38.89 X465) => 38.41/38.89 in( 38.41/38.89 setunion( 38.41/38.89 X465), 38.41/38.89 X465))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X466, 38.41/38.89 X467]: 38.41/38.89 (kfst( 38.41/38.89 kpair( 38.41/38.89 X466,X467)) = 38.41/38.89 X466)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X468, 38.41/38.89 X469,X470]: 38.41/38.89 (in( 38.41/38.89 X470, 38.41/38.89 cartprod( 38.41/38.89 X468,X469)) => 38.41/38.89 in( 38.41/38.89 kfst( 38.41/38.89 X470), 38.41/38.89 X468))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X471, 38.41/38.89 X472, 38.41/38.89 X473,X474]: 38.41/38.89 (( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X471, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X471, 38.41/38.89 setadjoin( 38.41/38.89 X472, 38.41/38.89 emptyset)), 38.41/38.89 emptyset)) = 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X473, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X473, 38.41/38.89 setadjoin( 38.41/38.89 X474, 38.41/38.89 emptyset)), 38.41/38.89 emptyset))) => 38.41/38.89 (X471 = 38.41/38.89 X473))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X475, 38.41/38.89 X476, 38.41/38.89 X477,X478]: 38.41/38.89 (( 38.41/38.89 kpair( 38.41/38.89 X475,X476) = 38.41/38.89 kpair( 38.41/38.89 X477,X478)) => 38.41/38.89 (X475 = 38.41/38.89 X477))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X479, 38.41/38.89 X480]: 38.41/38.89 (( 38.41/38.89 X479 = 38.41/38.89 X480) => 38.41/38.89 (setadjoin( 38.41/38.89 X479, 38.41/38.89 setadjoin( 38.41/38.89 X480, 38.41/38.89 emptyset)) = 38.41/38.89 setadjoin( 38.41/38.89 X479, 38.41/38.89 emptyset)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X481, 38.41/38.89 X482]: 38.41/38.89 (( 38.41/38.89 X481 = 38.41/38.89 X482) => 38.41/38.89 (setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X481, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X481, 38.41/38.89 setadjoin( 38.41/38.89 X482, 38.41/38.89 emptyset)), 38.41/38.89 emptyset)) = 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X481, 38.41/38.89 emptyset), 38.41/38.89 emptyset)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X483, 38.41/38.89 X484, 38.41/38.89 X485,X486]: 38.41/38.89 (( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X483, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X483, 38.41/38.89 setadjoin( 38.41/38.89 X484, 38.41/38.89 emptyset)), 38.41/38.89 emptyset)) = 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X485, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X485, 38.41/38.89 setadjoin( 38.41/38.89 X486, 38.41/38.89 emptyset)), 38.41/38.89 emptyset))) => 38.41/38.89 (( 38.41/38.89 X485 = 38.41/38.89 X486) => 38.41/38.89 (X484 = 38.41/38.89 X486)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X487, 38.41/38.89 X488,X489]: 38.41/38.89 (( 38.41/38.89 setadjoin( 38.41/38.89 X487, 38.41/38.89 setadjoin( 38.41/38.89 X488, 38.41/38.89 emptyset)) = 38.41/38.89 setadjoin( 38.41/38.89 X489, 38.41/38.89 emptyset)) => 38.41/38.89 (X487 = 38.41/38.89 X488))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X490, 38.41/38.89 X491, 38.41/38.89 X492,X493]: 38.41/38.89 (( 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X490, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X490, 38.41/38.89 setadjoin( 38.41/38.89 X491, 38.41/38.89 emptyset)), 38.41/38.89 emptyset)) = 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X492, 38.41/38.89 emptyset), 38.41/38.89 setadjoin( 38.41/38.89 setadjoin( 38.41/38.89 X492, 38.41/38.89 setadjoin( 38.41/38.89 X493, 38.41/38.89 emptyset)), 38.41/38.89 emptyset))) => 38.41/38.89 (X491 = 38.41/38.89 X493))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X494, 38.41/38.89 X495, 38.41/38.89 X496,X497]: 38.41/38.89 (( 38.41/38.89 kpair( 38.41/38.89 X494,X495) = 38.41/38.89 kpair( 38.41/38.89 X496,X497)) => 38.41/38.89 (X495 = 38.41/38.89 X497))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X498]: 38.41/38.89 (iskpair( 38.41/38.89 X498) => 38.41/38.89 singleton( 38.41/38.89 dsetconstr( 38.41/38.89 setunion( 38.41/38.89 X498), 38.41/38.89 ^[V_20]: 38.41/38.89 (X498 = 38.41/38.89 kpair( 38.41/38.89 kfst( 38.41/38.89 X498), 38.41/38.89 V_20)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X499, 38.41/38.89 X500]: 38.41/38.89 (ksnd( 38.41/38.89 kpair( 38.41/38.89 X499,X500)) = 38.41/38.89 X500)) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X501]: 38.41/38.89 (iskpair( 38.41/38.89 X501) => 38.41/38.89 (kpair( 38.41/38.89 kfst( 38.41/38.89 X501), 38.41/38.89 ksnd( 38.41/38.89 X501)) = 38.41/38.89 X501))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X502, 38.41/38.89 X503,X504]: 38.41/38.89 (in( 38.41/38.89 X504, 38.41/38.89 cartprod( 38.41/38.89 X502,X503)) => 38.41/38.89 in( 38.41/38.89 ksnd( 38.41/38.89 X504), 38.41/38.89 X503))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X505, 38.41/38.89 X506, 38.41/38.89 X507,X508]: 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X507,X508), 38.41/38.89 cartprod( 38.41/38.89 X505,X506)) => 38.41/38.89 in( 38.41/38.89 X507,X505))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X509, 38.41/38.89 X510, 38.41/38.89 X511,X512]: 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X511,X512), 38.41/38.89 cartprod( 38.41/38.89 X509,X510)) => 38.41/38.89 in( 38.41/38.89 X512,X510))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X513, 38.41/38.89 X514,X515]: 38.41/38.89 (in( 38.41/38.89 X515,X513) => 38.41/38.89 (![X516]: 38.41/38.89 (in( 38.41/38.89 X516,X514) => 38.41/38.89 (kpair( 38.41/38.89 X515,X516) = 38.41/38.89 kpair( 38.41/38.89 X515,X516)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X517, 38.41/38.89 X518,X519]: 38.41/38.89 (in( 38.41/38.89 X519,X517) => 38.41/38.89 (![X520]: 38.41/38.89 (in( 38.41/38.89 X520,X518) => 38.41/38.89 (kfst( 38.41/38.89 kpair( 38.41/38.89 X519,X520)) = 38.41/38.89 X519))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X521, 38.41/38.89 X522,X523]: 38.41/38.89 (in( 38.41/38.89 X523,X521) => 38.41/38.89 (![X524]: 38.41/38.89 (in( 38.41/38.89 X524,X522) => 38.41/38.89 (ksnd( 38.41/38.89 kpair( 38.41/38.89 X523,X524)) = 38.41/38.89 X524))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X525, 38.41/38.89 X526,X527]: 38.41/38.89 (in( 38.41/38.89 X527, 38.41/38.89 cartprod( 38.41/38.89 X525,X526)) => 38.41/38.89 (kpair( 38.41/38.89 kfst( 38.41/38.89 X527), 38.41/38.89 ksnd( 38.41/38.89 X527)) = 38.41/38.89 X527))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X528, 38.41/38.89 X529, 38.41/38.89 X530:( 38.41/38.89 ($i * $i) > 38.41/38.89 $o),X531]: 38.41/38.89 (in( 38.41/38.89 X531,X528) => 38.41/38.89 (![X532]: 38.41/38.89 (in( 38.41/38.89 X532,X529) => 38.41/38.89 (X530( 38.41/38.89 X531,X532) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X531,X532), 38.41/38.89 dpsetconstr( 38.41/38.89 X528, 38.41/38.89 X529, 38.41/38.89 ^[V_21, 38.41/38.89 V_22]: 38.41/38.89 X530( 38.41/38.89 V_21,V_22)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X533, 38.41/38.89 X534, 38.41/38.89 X535:( 38.41/38.89 ($i * $i) > 38.41/38.89 $o)]: 38.41/38.89 subset( 38.41/38.89 dpsetconstr( 38.41/38.89 X533, 38.41/38.89 X534, 38.41/38.89 ^[V_23, 38.41/38.89 V_24]: 38.41/38.89 X535( 38.41/38.89 V_23,V_24)), 38.41/38.89 cartprod( 38.41/38.89 X533,X534))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X536, 38.41/38.89 X537, 38.41/38.89 X538:( 38.41/38.89 ($i * $i) > 38.41/38.89 $o)]: 38.41/38.89 subset( 38.41/38.89 dpsetconstr( 38.41/38.89 X536, 38.41/38.89 X537, 38.41/38.89 ^[V_25, 38.41/38.89 V_26]: 38.41/38.89 X538( 38.41/38.89 V_25,V_26)), 38.41/38.89 cartprod( 38.41/38.89 X536,X537))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X539, 38.41/38.89 X540, 38.41/38.89 X541:( 38.41/38.89 ($i * $i) > 38.41/38.89 $o),X542]: 38.41/38.89 (in( 38.41/38.89 X542,X539) => 38.41/38.89 (![X543]: 38.41/38.89 (in( 38.41/38.89 X543,X540) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X542,X543), 38.41/38.89 dpsetconstr( 38.41/38.89 X539, 38.41/38.89 X540, 38.41/38.89 ^[V_27, 38.41/38.89 V_28]: 38.41/38.89 X541( 38.41/38.89 V_27,V_28))) => 38.41/38.89 X541( 38.41/38.89 X542,X543)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X544, 38.41/38.89 X545, 38.41/38.89 X546:( 38.41/38.89 ($i * $i) > 38.41/38.89 $o),X547, 38.41/38.89 X548]: 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X547,X548), 38.41/38.89 dpsetconstr( 38.41/38.89 X544, 38.41/38.89 X545, 38.41/38.89 ^[V_29, 38.41/38.89 V_30]: 38.41/38.89 X546( 38.41/38.89 V_29,V_30))) => 38.41/38.89 in( 38.41/38.89 X547,X544))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X549, 38.41/38.89 X550, 38.41/38.89 X551:( 38.41/38.89 ($i * $i) > 38.41/38.89 $o),X552, 38.41/38.89 X553]: 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X552,X553), 38.41/38.89 dpsetconstr( 38.41/38.89 X549, 38.41/38.89 X550, 38.41/38.89 ^[V_31, 38.41/38.89 V_32]: 38.41/38.89 X551( 38.41/38.89 V_31,V_32))) => 38.41/38.89 in( 38.41/38.89 X553,X550))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X554, 38.41/38.89 X555, 38.41/38.89 X556:( 38.41/38.89 ($i * $i) > 38.41/38.89 $o),X557, 38.41/38.89 X558]: 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X557,X558), 38.41/38.89 dpsetconstr( 38.41/38.89 X554, 38.41/38.89 X555, 38.41/38.89 ^[V_33, 38.41/38.89 V_34]: 38.41/38.89 X556( 38.41/38.89 V_33,V_34))) => 38.41/38.89 X556( 38.41/38.89 X557,X558))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X559, 38.41/38.89 X560,X561]: 38.41/38.89 (func( 38.41/38.89 X559, 38.41/38.89 X560,X561) => 38.41/38.89 (![X562]: 38.41/38.89 (in( 38.41/38.89 X562,X559) => 38.41/38.89 singleton( 38.41/38.89 dsetconstr( 38.41/38.89 X560, 38.41/38.89 ^[V_35]: 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X562,V_35), 38.41/38.89 X561))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X563, 38.41/38.89 X564,X565]: 38.41/38.89 (func( 38.41/38.89 X563, 38.41/38.89 X564,X565) => 38.41/38.89 (![X566]: 38.41/38.89 (in( 38.41/38.89 X566,X563) => 38.41/38.89 in( 38.41/38.89 setunion( 38.41/38.89 dsetconstr( 38.41/38.89 X564, 38.41/38.89 ^[V_36]: 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X566,V_36), 38.41/38.89 X565))), 38.41/38.89 X564))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X567, 38.41/38.89 X568,X569]: 38.41/38.89 (func( 38.41/38.89 X567, 38.41/38.89 X568,X569) => 38.41/38.89 (![X570]: 38.41/38.89 (in( 38.41/38.89 X570,X567) => 38.41/38.89 in( 38.41/38.89 ap( 38.41/38.89 X567, 38.41/38.89 X568, 38.41/38.89 X569,X570), 38.41/38.89 X568))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X571, 38.41/38.89 X572,X573]: 38.41/38.89 (in( 38.41/38.89 X573, 38.41/38.89 funcSet( 38.41/38.89 X571,X572)) => 38.41/38.89 func( 38.41/38.89 X571, 38.41/38.89 X572,X573))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X574, 38.41/38.89 X575,X576]: 38.41/38.89 (in( 38.41/38.89 X576, 38.41/38.89 funcSet( 38.41/38.89 X574,X575)) => 38.41/38.89 (![X577]: 38.41/38.89 (in( 38.41/38.89 X577,X574) => 38.41/38.89 in( 38.41/38.89 ap( 38.41/38.89 X574, 38.41/38.89 X575, 38.41/38.89 X576,X577), 38.41/38.89 X575))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X578, 38.41/38.89 X579,X580]: 38.41/38.89 (func( 38.41/38.89 X578, 38.41/38.89 X579,X580) => 38.41/38.89 in( 38.41/38.89 X580, 38.41/38.89 funcSet( 38.41/38.89 X578,X579)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X581, 38.41/38.89 X582, 38.41/38.89 X583:( 38.41/38.89 $i > $i)]: 38.41/38.89 (( 38.41/38.89 ![X584]: 38.41/38.89 (in( 38.41/38.89 X584,X581) => 38.41/38.89 in( 38.41/38.89 X583( 38.41/38.89 X584), 38.41/38.89 X582))) => 38.41/38.89 func( 38.41/38.89 X581, 38.41/38.89 X582, 38.41/38.89 dpsetconstr( 38.41/38.89 X581, 38.41/38.89 X582, 38.41/38.89 ^[V_37, 38.41/38.89 V_38]: 38.41/38.89 (X583( 38.41/38.89 V_37) = 38.41/38.89 V_38))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X585, 38.41/38.89 X586, 38.41/38.89 X587:( 38.41/38.89 $i > $i)]: 38.41/38.89 (( 38.41/38.89 ![X588]: 38.41/38.89 (in( 38.41/38.89 X588,X585) => 38.41/38.89 in( 38.41/38.89 X587( 38.41/38.89 X588), 38.41/38.89 X586))) => 38.41/38.89 func( 38.41/38.89 X585, 38.41/38.89 X586, 38.41/38.89 lam( 38.41/38.89 X585, 38.41/38.89 X586, 38.41/38.89 ^[V_39]: 38.41/38.89 X587( 38.41/38.89 V_39))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X589, 38.41/38.89 X590, 38.41/38.89 X591:( 38.41/38.89 $i > $i)]: 38.41/38.89 (( 38.41/38.89 ![X592]: 38.41/38.89 (in( 38.41/38.89 X592,X589) => 38.41/38.89 in( 38.41/38.89 X591( 38.41/38.89 X592), 38.41/38.89 X590))) => 38.41/38.89 in( 38.41/38.89 lam( 38.41/38.89 X589, 38.41/38.89 X590, 38.41/38.89 ^[V_40]: 38.41/38.89 X591( 38.41/38.89 V_40)), 38.41/38.89 funcSet( 38.41/38.89 X589,X590)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X593, 38.41/38.89 X594,X595]: 38.41/38.89 (subset( 38.41/38.89 X595, 38.41/38.89 cartprod( 38.41/38.89 X593,X594)) => 38.41/38.89 (![X596:( 38.41/38.89 $i > $o)]: 38.41/38.89 (( 38.41/38.89 ![X597]: 38.41/38.89 (in( 38.41/38.89 X597,X593) => 38.41/38.89 (![X598]: 38.41/38.89 (in( 38.41/38.89 X598,X594) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X597,X598), 38.41/38.89 X595) => 38.41/38.89 X596( 38.41/38.89 kpair( 38.41/38.89 X597,X598))))))) => 38.41/38.89 (![X599]: 38.41/38.89 (in( 38.41/38.89 X599,X595) => 38.41/38.89 X596( 38.41/38.89 X599))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X600, 38.41/38.89 X601,X602]: 38.41/38.89 (subset( 38.41/38.89 X602, 38.41/38.89 cartprod( 38.41/38.89 X600,X601)) => 38.41/38.89 (![X603:( 38.41/38.89 $i > $o)]: 38.41/38.89 (( 38.41/38.89 ![X604]: 38.41/38.89 (in( 38.41/38.89 X604,X600) => 38.41/38.89 (![X605]: 38.41/38.89 (in( 38.41/38.89 X605,X601) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X604,X605), 38.41/38.89 X602) => 38.41/38.89 X603( 38.41/38.89 kpair( 38.41/38.89 X604,X605))))))) => 38.41/38.89 (![X606]: 38.41/38.89 (in( 38.41/38.89 X606,X602) => 38.41/38.89 X603( 38.41/38.89 X606))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X607, 38.41/38.89 X608:( 38.41/38.89 $i > $o)]: 38.41/38.89 (ex1( 38.41/38.89 X607, 38.41/38.89 ^[V_41]: 38.41/38.89 X608( 38.41/38.89 V_41)) => 38.41/38.89 (![X609]: 38.41/38.89 (in( 38.41/38.89 X609,X607) => 38.41/38.89 (![X610]: 38.41/38.89 (in( 38.41/38.89 X610,X607) => 38.41/38.89 (X608( 38.41/38.89 X609) => 38.41/38.89 (X608( 38.41/38.89 X610) => 38.41/38.89 (X609 = 38.41/38.89 X610))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X611, 38.41/38.89 X612,X613]: 38.41/38.89 (func( 38.41/38.89 X611, 38.41/38.89 X612,X613) => 38.41/38.89 (![X614]: 38.41/38.89 (in( 38.41/38.89 X614,X611) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X614, 38.41/38.89 ap( 38.41/38.89 X611, 38.41/38.89 X612, 38.41/38.89 X613,X614)), 38.41/38.89 X613))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X615, 38.41/38.89 X616,X617]: 38.41/38.89 (in( 38.41/38.89 X617, 38.41/38.89 funcSet( 38.41/38.89 X615,X616)) => 38.41/38.89 (![X618]: 38.41/38.89 (in( 38.41/38.89 X618,X615) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X618, 38.41/38.89 ap( 38.41/38.89 X615, 38.41/38.89 X616, 38.41/38.89 X617,X618)), 38.41/38.89 X617))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X619, 38.41/38.89 X620,X621]: 38.41/38.89 (func( 38.41/38.89 X619, 38.41/38.89 X620,X621) => 38.41/38.89 (![X622]: 38.41/38.89 (in( 38.41/38.89 X622,X619) => 38.41/38.89 (![X623]: 38.41/38.89 (in( 38.41/38.89 X623,X620) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X622,X623), 38.41/38.89 X621) => 38.41/38.89 (ap( 38.41/38.89 X619, 38.41/38.89 X620, 38.41/38.89 X621,X622) = 38.41/38.89 X623)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X624, 38.41/38.89 X625,X626]: 38.41/38.89 (func( 38.41/38.89 X624, 38.41/38.89 X625,X626) => 38.41/38.89 (![X627]: 38.41/38.89 (func( 38.41/38.89 X624, 38.41/38.89 X625,X627) => 38.41/38.89 (( 38.41/38.89 ![X628]: 38.41/38.89 (in( 38.41/38.89 X628,X624) => 38.41/38.89 (ap( 38.41/38.89 X624, 38.41/38.89 X625, 38.41/38.89 X626,X628) = 38.41/38.89 ap( 38.41/38.89 X624, 38.41/38.89 X625, 38.41/38.89 X627,X628)))) => 38.41/38.89 (![X629]: 38.41/38.89 (in( 38.41/38.89 X629,X624) => 38.41/38.89 (![X630]: 38.41/38.89 (in( 38.41/38.89 X630,X625) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X629,X630), 38.41/38.89 X627) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X629,X630), 38.41/38.89 X626))))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X631, 38.41/38.89 X632,X633]: 38.41/38.89 (in( 38.41/38.89 X633, 38.41/38.89 funcSet( 38.41/38.89 X631,X632)) => 38.41/38.89 (![X634]: 38.41/38.89 (in( 38.41/38.89 X634,X631) => 38.41/38.89 (![X635]: 38.41/38.89 (in( 38.41/38.89 X635,X632) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X634,X635), 38.41/38.89 X633) => 38.41/38.89 (ap( 38.41/38.89 X631, 38.41/38.89 X632, 38.41/38.89 X633,X634) = 38.41/38.89 X635)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X636, 38.41/38.89 X637,X638]: 38.41/38.89 (subset( 38.41/38.89 X638, 38.41/38.89 cartprod( 38.41/38.89 X636,X637)) => 38.41/38.89 (![X639]: 38.41/38.89 (subset( 38.41/38.89 X639, 38.41/38.89 cartprod( 38.41/38.89 X636,X637)) => 38.41/38.89 (( 38.41/38.89 ![X640]: 38.41/38.89 (in( 38.41/38.89 X640,X636) => 38.41/38.89 (![X641]: 38.41/38.89 (in( 38.41/38.89 X641,X637) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X640,X641), 38.41/38.89 X638) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X640,X641), 38.41/38.89 X639)))))) => 38.41/38.89 subset( 38.41/38.89 X638,X639)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X642, 38.41/38.89 X643,X644]: 38.41/38.89 (subset( 38.41/38.89 X644, 38.41/38.89 cartprod( 38.41/38.89 X642,X643)) => 38.41/38.89 (![X645]: 38.41/38.89 (subset( 38.41/38.89 X645, 38.41/38.89 cartprod( 38.41/38.89 X642,X643)) => 38.41/38.89 (( 38.41/38.89 ![X646]: 38.41/38.89 (in( 38.41/38.89 X646,X642) => 38.41/38.89 (![X647]: 38.41/38.89 (in( 38.41/38.89 X647,X643) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X646,X647), 38.41/38.89 X644) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X646,X647), 38.41/38.89 X645)))))) => 38.41/38.89 (( 38.41/38.89 ![X648]: 38.41/38.89 (in( 38.41/38.89 X648,X642) => 38.41/38.89 (![X649]: 38.41/38.89 (in( 38.41/38.89 X649,X643) => 38.41/38.89 (in( 38.41/38.89 kpair( 38.41/38.89 X648,X649), 38.41/38.89 X645) => 38.41/38.89 in( 38.41/38.89 kpair( 38.41/38.89 X648,X649), 38.41/38.89 X644)))))) => 38.41/38.89 (X644 = 38.41/38.89 X645))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X650, 38.41/38.89 X651,X652]: 38.41/38.89 (func( 38.41/38.89 X650, 38.41/38.89 X651,X652) => 38.41/38.89 (![X653]: 38.41/38.89 (func( 38.41/38.89 X650, 38.41/38.89 X651,X653) => 38.41/38.89 (( 38.41/38.89 ![X654]: 38.41/38.89 (in( 38.41/38.89 X654,X650) => 38.41/38.89 (ap( 38.41/38.89 X650, 38.41/38.89 X651, 38.41/38.89 X652,X654) = 38.41/38.89 ap( 38.41/38.89 X650, 38.41/38.89 X651, 38.41/38.89 X653,X654)))) => 38.41/38.89 (X652 = 38.41/38.89 X653)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X655, 38.41/38.89 X656,X657]: 38.41/38.89 (in( 38.41/38.89 X657, 38.41/38.89 funcSet( 38.41/38.89 X655,X656)) => 38.41/38.89 (![X658]: 38.41/38.89 (in( 38.41/38.89 X658, 38.41/38.89 funcSet( 38.41/38.89 X655,X656)) => 38.41/38.89 (( 38.41/38.89 ![X659]: 38.41/38.89 (in( 38.41/38.89 X659,X655) => 38.41/38.89 (ap( 38.41/38.89 X655, 38.41/38.89 X656, 38.41/38.89 X657,X659) = 38.41/38.89 ap( 38.41/38.89 X655, 38.41/38.89 X656, 38.41/38.89 X658,X659)))) => 38.41/38.89 (X657 = 38.41/38.89 X658)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X660, 38.41/38.89 X661,X662]: 38.41/38.89 (in( 38.41/38.89 X662, 38.41/38.89 funcSet( 38.41/38.89 X660,X661)) => 38.41/38.89 (![X663]: 38.41/38.89 (in( 38.41/38.89 X663,X660) => 38.41/38.89 (ap( 38.41/38.89 X660, 38.41/38.89 X661, 38.41/38.89 X662,X663) = 38.41/38.89 ap( 38.41/38.89 X660, 38.41/38.89 X661, 38.41/38.89 X662,X663)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X664, 38.41/38.89 X665,X666]: 38.41/38.89 (func( 38.41/38.89 X664, 38.41/38.89 X665,X666) => 38.41/38.89 (![X667]: 38.41/38.89 (in( 38.41/38.89 X667,X664) => 38.41/38.89 (ap( 38.41/38.89 X664, 38.41/38.89 X665, 38.41/38.89 X666,X667) = 38.41/38.89 ap( 38.41/38.89 X664, 38.41/38.89 X665, 38.41/38.89 X666,X667)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X668, 38.41/38.89 X669, 38.41/38.89 X670:( 38.41/38.89 $i > $i)]: 38.41/38.89 (( 38.41/38.89 ![X671]: 38.41/38.89 (in( 38.41/38.89 X671,X668) => 38.41/38.89 in( 38.41/38.89 X670( 38.41/38.89 X671), 38.41/38.89 X669))) => 38.41/38.89 (![X672]: 38.41/38.89 (in( 38.41/38.89 X672,X668) => 38.41/38.89 (ap( 38.41/38.89 X668, 38.41/38.89 X669, 38.41/38.89 lam( 38.41/38.89 X668, 38.41/38.89 X669, 38.41/38.89 ^[V_42]: 38.41/38.89 X670( 38.41/38.89 V_42)), 38.41/38.89 X672) = 38.41/38.89 X670( 38.41/38.89 X672)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X673, 38.41/38.89 X674,X675]: 38.41/38.89 (func( 38.41/38.89 X673, 38.41/38.89 X674,X675) => 38.41/38.89 (lam( 38.41/38.89 X673, 38.41/38.89 X674, 38.41/38.89 ^[V_43]: 38.41/38.89 ap( 38.41/38.89 X673, 38.41/38.89 X674, 38.41/38.89 X675,V_43)) = 38.41/38.89 X675))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X676, 38.41/38.89 X677, 38.41/38.89 X678:( 38.41/38.89 $i > $i)]: 38.41/38.89 (( 38.41/38.89 ![X679]: 38.41/38.89 (in( 38.41/38.89 X679,X676) => 38.41/38.89 in( 38.41/38.89 X678( 38.41/38.89 X679), 38.41/38.89 X677))) => 38.41/38.89 (lam( 38.41/38.89 X676, 38.41/38.89 X677, 38.41/38.89 ^[V_44]: 38.41/38.89 X678( 38.41/38.89 V_44)) = 38.41/38.89 lam( 38.41/38.89 X676, 38.41/38.89 X677, 38.41/38.89 ^[V_45]: 38.41/38.89 X678( 38.41/38.89 V_45))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X680, 38.41/38.89 X681, 38.41/38.89 X682:( 38.41/38.89 $i > $i)]: 38.41/38.89 (( 38.41/38.89 ![X683]: 38.41/38.89 (in( 38.41/38.89 X683,X680) => 38.41/38.89 in( 38.41/38.89 X682( 38.41/38.89 X683), 38.41/38.89 X681))) => 38.41/38.89 (![X684]: 38.41/38.89 (in( 38.41/38.89 X684,X680) => 38.41/38.89 (ap( 38.41/38.89 X680, 38.41/38.89 X681, 38.41/38.89 lam( 38.41/38.89 X680, 38.41/38.89 X681, 38.41/38.89 ^[V_46]: 38.41/38.89 X682( 38.41/38.89 V_46)), 38.41/38.89 X684) = 38.41/38.89 X682( 38.41/38.89 X684)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X685, 38.41/38.89 X686,X687]: 38.41/38.89 (in( 38.41/38.89 X687, 38.41/38.89 funcSet( 38.41/38.89 X685,X686)) => 38.41/38.89 (lam( 38.41/38.89 X685, 38.41/38.89 X686, 38.41/38.89 ^[V_47]: 38.41/38.89 ap( 38.41/38.89 X685, 38.41/38.89 X686, 38.41/38.89 X687,V_47)) = 38.41/38.89 X687))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X688, 38.41/38.89 X689:$o, 38.41/38.89 X690]: 38.41/38.89 (in( 38.41/38.89 X690,X688) => 38.41/38.89 (![X691]: 38.41/38.89 (in( 38.41/38.89 X691,X688) => 38.41/38.89 (( 38.41/38.89 ~X689) => 38.41/38.89 in( 38.41/38.89 X691, 38.41/38.89 dsetconstr( 38.41/38.89 X688, 38.41/38.89 ^[V_48]: 38.41/38.89 (( 38.41/38.89 X689 & 38.41/38.89 ( 38.41/38.89 V_48 = 38.41/38.89 X690)) | 38.41/38.89 (( 38.41/38.89 ~X689) & 38.41/38.89 (V_48 = 38.41/38.89 X691)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X692, 38.41/38.89 X693:$o, 38.41/38.89 X694]: 38.41/38.89 (in( 38.41/38.89 X694,X692) => 38.41/38.89 (![X695]: 38.41/38.89 (in( 38.41/38.89 X695,X692) => 38.41/38.89 (( 38.41/38.89 ~X693) => 38.41/38.89 (dsetconstr( 38.41/38.89 X692, 38.41/38.89 ^[V_49]: 38.41/38.89 (( 38.41/38.89 X693 & 38.41/38.89 ( 38.41/38.89 V_49 = 38.41/38.89 X694)) | 38.41/38.89 (( 38.41/38.89 ~X693) & 38.41/38.89 (V_49 = 38.41/38.89 X695)))) = 38.41/38.89 setadjoin( 38.41/38.89 X695, 38.41/38.89 emptyset))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X696, 38.41/38.89 X697:$o, 38.41/38.89 X698]: 38.41/38.89 (in( 38.41/38.89 X698,X696) => 38.41/38.89 (![X699]: 38.41/38.89 (in( 38.41/38.89 X699,X696) => 38.41/38.89 (X697 => 38.41/38.89 in( 38.41/38.89 X698, 38.41/38.89 dsetconstr( 38.41/38.89 X696, 38.41/38.89 ^[V_50]: 38.41/38.89 (( 38.41/38.89 X697 & 38.41/38.89 ( 38.41/38.89 V_50 = 38.41/38.89 X698)) | 38.41/38.89 (( 38.41/38.89 ~X697) & 38.41/38.89 (V_50 = 38.41/38.89 X699)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X700, 38.41/38.89 X701:$o, 38.41/38.89 X702]: 38.41/38.89 (in( 38.41/38.89 X702,X700) => 38.41/38.89 (![X703]: 38.41/38.89 (in( 38.41/38.89 X703,X700) => 38.41/38.89 (X701 => 38.41/38.89 (dsetconstr( 38.41/38.89 X700, 38.41/38.89 ^[V_51]: 38.41/38.89 (( 38.41/38.89 X701 & 38.41/38.89 ( 38.41/38.89 V_51 = 38.41/38.89 X702)) | 38.41/38.89 (( 38.41/38.89 ~X701) & 38.41/38.89 (V_51 = 38.41/38.89 X703)))) = 38.41/38.89 setadjoin( 38.41/38.89 X702, 38.41/38.89 emptyset))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X704, 38.41/38.89 X705:$o, 38.41/38.89 X706]: 38.41/38.89 (in( 38.41/38.89 X706,X704) => 38.41/38.89 (![X707]: 38.41/38.89 (in( 38.41/38.89 X707,X704) => 38.41/38.89 singleton( 38.41/38.89 dsetconstr( 38.41/38.89 X704, 38.41/38.89 ^[V_52]: 38.41/38.89 (( 38.41/38.89 X705 & 38.41/38.89 ( 38.41/38.89 V_52 = 38.41/38.89 X706)) | 38.41/38.89 (( 38.41/38.89 ~X705) & 38.41/38.89 (V_52 = 38.41/38.89 X707))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X708, 38.41/38.89 X709:$o, 38.41/38.89 X710]: 38.41/38.89 (in( 38.41/38.89 X710,X708) => 38.41/38.89 (![X711]: 38.41/38.89 (in( 38.41/38.89 X711,X708) => 38.41/38.89 in( 38.41/38.89 if( 38.41/38.89 X708, 38.41/38.89 X709, 38.41/38.89 X710,X711), 38.41/38.89 X708))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X712]: 38.41/38.89 (singleton( 38.41/38.89 X712) => 38.41/38.89 (![X713]: 38.41/38.89 (in( 38.41/38.89 X713,X712) => 38.41/38.89 (setunion( 38.41/38.89 X712) = 38.41/38.89 X713))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X714, 38.41/38.89 X715:$o, 38.41/38.89 X716]: 38.41/38.89 (in( 38.41/38.89 X716,X714) => 38.41/38.89 (![X717]: 38.41/38.89 (in( 38.41/38.89 X717,X714) => 38.41/38.89 (X715 => 38.41/38.89 (if( 38.41/38.89 X714, 38.41/38.89 X715, 38.41/38.89 X716,X717) = 38.41/38.89 X716)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X718, 38.41/38.89 X719:$o, 38.41/38.89 X720]: 38.41/38.89 (in( 38.41/38.89 X720,X718) => 38.41/38.89 (![X721]: 38.41/38.89 (in( 38.41/38.89 X721,X718) => 38.41/38.89 (( 38.41/38.89 ~X719) => 38.41/38.89 (if( 38.41/38.89 X718, 38.41/38.89 X719, 38.41/38.89 X720,X721) = 38.41/38.89 X721)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X722, 38.41/38.89 X723:$o, 38.41/38.89 X724]: 38.41/38.89 (in( 38.41/38.89 X724,X722) => 38.41/38.89 (![X725]: 38.41/38.89 (in( 38.41/38.89 X725,X722) => 38.41/38.89 in( 38.41/38.89 if( 38.41/38.89 X722, 38.41/38.89 X723, 38.41/38.89 X724,X725), 38.41/38.89 setadjoin( 38.41/38.89 X724, 38.41/38.89 setadjoin( 38.41/38.89 X725, 38.41/38.89 emptyset))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X726, 38.41/38.89 X727]: 38.41/38.89 (in( 38.41/38.89 X727, 38.41/38.89 powerset( 38.41/38.89 X726)) => 38.41/38.89 (![X728]: 38.41/38.89 (in( 38.41/38.89 X728, 38.41/38.89 powerset( 38.41/38.89 X726)) => 38.41/38.89 in( 38.41/38.89 binintersect( 38.41/38.89 X727,X728), 38.41/38.89 powerset( 38.41/38.89 X726)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X729, 38.41/38.89 X730]: 38.41/38.89 (in( 38.41/38.89 X730, 38.41/38.89 powerset( 38.41/38.89 X729)) => 38.41/38.89 (![X731]: 38.41/38.89 (in( 38.41/38.89 X731, 38.41/38.89 powerset( 38.41/38.89 X729)) => 38.41/38.89 in( 38.41/38.89 binunion( 38.41/38.89 X730,X731), 38.41/38.89 powerset( 38.41/38.89 X729)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X732, 38.41/38.89 X733]: 38.41/38.89 (in( 38.41/38.89 X733, 38.41/38.89 powerset( 38.41/38.89 X732)) => 38.41/38.89 in( 38.41/38.89 powerset( 38.41/38.89 X733), 38.41/38.89 powerset( 38.41/38.89 powerset( 38.41/38.89 X732))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X734, 38.41/38.89 X735]: 38.41/38.89 (in( 38.41/38.89 X735, 38.41/38.89 powerset( 38.41/38.89 X734)) => 38.41/38.89 (![X736]: 38.41/38.89 (in( 38.41/38.89 X736, 38.41/38.89 powerset( 38.41/38.89 X734)) => 38.41/38.89 in( 38.41/38.89 setminus( 38.41/38.89 X735,X736), 38.41/38.89 powerset( 38.41/38.89 X734)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X737, 38.41/38.89 X738]: 38.41/38.89 (in( 38.41/38.89 X738, 38.41/38.89 powerset( 38.41/38.89 X737)) => 38.41/38.89 in( 38.41/38.89 setminus( 38.41/38.89 X737,X738), 38.41/38.89 powerset( 38.41/38.89 X737)))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X739, 38.41/38.89 X740]: 38.41/38.89 (in( 38.41/38.89 X740, 38.41/38.89 powerset( 38.41/38.89 X739)) => 38.41/38.89 (![X741]: 38.41/38.89 (in( 38.41/38.89 X741, 38.41/38.89 powerset( 38.41/38.89 X739)) => 38.41/38.89 (( 38.41/38.89 ![X742]: 38.41/38.89 (in( 38.41/38.89 X742,X739) => 38.41/38.89 (in( 38.41/38.89 X742,X740) => 38.41/38.89 in( 38.41/38.89 X742,X741)))) => 38.41/38.89 (( 38.41/38.89 ![X743]: 38.41/38.89 (in( 38.41/38.89 X743,X739) => 38.41/38.89 (in( 38.41/38.89 X743,X741) => 38.41/38.89 in( 38.41/38.89 X743,X740)))) => 38.41/38.89 (X740 = 38.41/38.89 X741))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X744, 38.41/38.89 X745]: 38.41/38.89 (in( 38.41/38.89 X745, 38.41/38.89 powerset( 38.41/38.89 X744)) => 38.41/38.89 (![X746]: 38.41/38.89 (in( 38.41/38.89 X746, 38.41/38.89 powerset( 38.41/38.89 X744)) => 38.41/38.89 (( 38.41/38.89 ![X747]: 38.41/38.89 (in( 38.41/38.89 X747,X744) => 38.41/38.89 (in( 38.41/38.89 X747,X745) => 38.41/38.89 in( 38.41/38.89 X747,X746)))) => 38.41/38.89 subset( 38.41/38.89 X745,X746)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X748, 38.41/38.89 X749]: 38.41/38.89 (in( 38.41/38.89 X749, 38.41/38.89 powerset( 38.41/38.89 X748)) => 38.41/38.89 (![X750]: 38.41/38.89 (in( 38.41/38.89 X750, 38.41/38.89 powerset( 38.41/38.89 X748)) => 38.41/38.89 (( 38.41/38.89 ![X751]: 38.41/38.89 (in( 38.41/38.89 X751,X748) => 38.41/38.89 (in( 38.41/38.89 X751,X749) => 38.41/38.89 in( 38.41/38.89 X751,X750)))) => 38.41/38.89 in( 38.41/38.89 X749, 38.41/38.89 powerset( 38.41/38.89 X750))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X752, 38.41/38.89 X753]: 38.41/38.89 (in( 38.41/38.89 X753, 38.41/38.89 powerset( 38.41/38.89 X752)) => 38.41/38.89 (![X754]: 38.41/38.89 (in( 38.41/38.89 X754, 38.41/38.89 powerset( 38.41/38.89 X752)) => 38.41/38.89 (![X755]: 38.41/38.89 (in( 38.41/38.89 X755,X752) => 38.41/38.89 (in( 38.41/38.89 X753, 38.41/38.89 powerset( 38.41/38.89 X754)) => 38.41/38.89 (in( 38.41/38.89 X755,X753) => 38.41/38.89 in( 38.41/38.89 X755,X754))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X756, 38.41/38.89 X757]: 38.41/38.89 (in( 38.41/38.89 X757, 38.41/38.89 powerset( 38.41/38.89 X756)) => 38.41/38.89 (![X758]: 38.41/38.89 (in( 38.41/38.89 X758,X756) => 38.41/38.89 (in( 38.41/38.89 X758,X757) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X758, 38.41/38.89 setminus( 38.41/38.89 X756,X757)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X759, 38.41/38.89 X760]: 38.41/38.89 (in( 38.41/38.89 X760, 38.41/38.89 powerset( 38.41/38.89 X759)) => 38.41/38.89 (![X761]: 38.41/38.89 (in( 38.41/38.89 X761,X759) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X761, 38.41/38.89 setminus( 38.41/38.89 X759,X760))) => 38.41/38.89 in( 38.41/38.89 X761,X760)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X762, 38.41/38.89 X763]: 38.41/38.89 (in( 38.41/38.89 X763, 38.41/38.89 powerset( 38.41/38.89 X762)) => 38.41/38.89 (![X764]: 38.41/38.89 (in( 38.41/38.89 X764, 38.41/38.89 powerset( 38.41/38.89 X762)) => 38.41/38.89 (![X765]: 38.41/38.89 (in( 38.41/38.89 X765,X762) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X765,X763)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X765, 38.41/38.89 binintersect( 38.41/38.89 X763,X764)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X766, 38.41/38.89 X767]: 38.41/38.89 (in( 38.41/38.89 X767, 38.41/38.89 powerset( 38.41/38.89 X766)) => 38.41/38.89 (![X768]: 38.41/38.89 (in( 38.41/38.89 X768, 38.41/38.89 powerset( 38.41/38.89 X766)) => 38.41/38.89 (![X769]: 38.41/38.89 (in( 38.41/38.89 X769,X766) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X769,X768)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X769, 38.41/38.89 binintersect( 38.41/38.89 X767,X768)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X770, 38.41/38.89 X771]: 38.41/38.89 (in( 38.41/38.89 X771, 38.41/38.89 powerset( 38.41/38.89 X770)) => 38.41/38.89 (![X772]: 38.41/38.89 (in( 38.41/38.89 X772, 38.41/38.89 powerset( 38.41/38.89 X770)) => 38.41/38.89 (![X773]: 38.41/38.89 (in( 38.41/38.89 X773,X770) => 38.41/38.89 (subset( 38.41/38.89 X771, 38.41/38.89 setminus( 38.41/38.89 X770,X772)) => 38.41/38.89 (in( 38.41/38.89 X773,X772) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X773,X771)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X774, 38.41/38.89 X775]: 38.41/38.89 (in( 38.41/38.89 X775, 38.41/38.89 powerset( 38.41/38.89 X774)) => 38.41/38.89 (![X776]: 38.41/38.89 (in( 38.41/38.89 X776, 38.41/38.89 powerset( 38.41/38.89 X774)) => 38.41/38.89 (![X777]: 38.41/38.89 (in( 38.41/38.89 X777,X774) => 38.41/38.89 (subset( 38.41/38.89 X775,X776) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X777,X776)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X777,X775)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X778, 38.41/38.89 X779]: 38.41/38.89 (in( 38.41/38.89 X779, 38.41/38.89 powerset( 38.41/38.89 X778)) => 38.41/38.89 (![X780]: 38.41/38.89 (in( 38.41/38.89 X780, 38.41/38.89 powerset( 38.41/38.89 X778)) => 38.41/38.89 (subset( 38.41/38.89 X779,X780) => 38.41/38.89 subset( 38.41/38.89 setminus( 38.41/38.89 X778,X780), 38.41/38.89 setminus( 38.41/38.89 X778,X779))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X781, 38.41/38.89 X782]: 38.41/38.89 (in( 38.41/38.89 X782, 38.41/38.89 powerset( 38.41/38.89 X781)) => 38.41/38.89 (![X783]: 38.41/38.89 (in( 38.41/38.89 X783, 38.41/38.89 powerset( 38.41/38.89 X781)) => 38.41/38.89 (subset( 38.41/38.89 setminus( 38.41/38.89 X781,X783), 38.41/38.89 setminus( 38.41/38.89 X781,X782)) => 38.41/38.89 subset( 38.41/38.89 X782,X783)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X784, 38.41/38.89 X785]: 38.41/38.89 (in( 38.41/38.89 X785, 38.41/38.89 powerset( 38.41/38.89 X784)) => 38.41/38.89 (![X786]: 38.41/38.89 (in( 38.41/38.89 X786,X784) => 38.41/38.89 (in( 38.41/38.89 X786,X785) => 38.41/38.89 in( 38.41/38.89 X786, 38.41/38.89 setminus( 38.41/38.89 X784, 38.41/38.89 setminus( 38.41/38.89 X784,X785)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X787, 38.41/38.89 X788]: 38.41/38.89 (in( 38.41/38.89 X788, 38.41/38.89 powerset( 38.41/38.89 X787)) => 38.41/38.89 (![X789]: 38.41/38.89 (in( 38.41/38.89 X789,X787) => 38.41/38.89 (in( 38.41/38.89 X789, 38.41/38.89 setminus( 38.41/38.89 X787, 38.41/38.89 setminus( 38.41/38.89 X787,X788))) => 38.41/38.89 in( 38.41/38.89 X789,X788)))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X790, 38.41/38.89 X791]: 38.41/38.89 (in( 38.41/38.89 X791, 38.41/38.89 powerset( 38.41/38.89 X790)) => 38.41/38.89 subset( 38.41/38.89 X791, 38.41/38.89 setminus( 38.41/38.89 X790, 38.41/38.89 setminus( 38.41/38.89 X790,X791))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X792, 38.41/38.89 X793]: 38.41/38.89 (in( 38.41/38.89 X793, 38.41/38.89 powerset( 38.41/38.89 X792)) => 38.41/38.89 subset( 38.41/38.89 setminus( 38.41/38.89 X792, 38.41/38.89 setminus( 38.41/38.89 X792,X793)), 38.41/38.89 X793))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X794, 38.41/38.89 X795]: 38.41/38.89 (in( 38.41/38.89 X795, 38.41/38.89 powerset( 38.41/38.89 X794)) => 38.41/38.89 (X795 = 38.41/38.89 setminus( 38.41/38.89 X794, 38.41/38.89 setminus( 38.41/38.89 X794,X795))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X796, 38.41/38.89 X797]: 38.41/38.89 (in( 38.41/38.89 X797, 38.41/38.89 powerset( 38.41/38.89 X796)) => 38.41/38.89 (![X798]: 38.41/38.89 (in( 38.41/38.89 X798, 38.41/38.89 powerset( 38.41/38.89 X796)) => 38.41/38.89 (![X799]: 38.41/38.89 (in( 38.41/38.89 X799,X796) => 38.41/38.89 (in( 38.41/38.89 X799, 38.41/38.89 setminus( 38.41/38.89 X796,X797)) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X799, 38.41/38.89 binintersect( 38.41/38.89 X797,X798)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X800, 38.41/38.89 X801]: 38.41/38.89 (in( 38.41/38.89 X801, 38.41/38.89 powerset( 38.41/38.89 X800)) => 38.41/38.89 (![X802]: 38.41/38.89 (in( 38.41/38.89 X802, 38.41/38.89 powerset( 38.41/38.89 X800)) => 38.41/38.89 (![X803]: 38.41/38.89 (in( 38.41/38.89 X803,X800) => 38.41/38.89 (in( 38.41/38.89 X803, 38.41/38.89 setminus( 38.41/38.89 X800,X801)) => 38.41/38.89 in( 38.41/38.89 X803, 38.41/38.89 setminus( 38.41/38.89 X800, 38.41/38.89 binintersect( 38.41/38.89 X801,X802)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X804, 38.41/38.89 X805]: 38.41/38.89 (in( 38.41/38.89 X805, 38.41/38.89 powerset( 38.41/38.89 X804)) => 38.41/38.89 (![X806]: 38.41/38.89 (in( 38.41/38.89 X806, 38.41/38.89 powerset( 38.41/38.89 X804)) => 38.41/38.89 subset( 38.41/38.89 setminus( 38.41/38.89 X804,X805), 38.41/38.89 setminus( 38.41/38.89 X804, 38.41/38.89 binintersect( 38.41/38.89 X805,X806))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X807, 38.41/38.89 X808]: 38.41/38.89 (in( 38.41/38.89 X808, 38.41/38.89 powerset( 38.41/38.89 X807)) => 38.41/38.89 (![X809]: 38.41/38.89 (in( 38.41/38.89 X809, 38.41/38.89 powerset( 38.41/38.89 X807)) => 38.41/38.89 in( 38.41/38.89 setminus( 38.41/38.89 X807,X808), 38.41/38.89 powerset( 38.41/38.89 setminus( 38.41/38.89 X807, 38.41/38.89 binintersect( 38.41/38.89 X808,X809)))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X810, 38.41/38.89 X811]: 38.41/38.89 (in( 38.41/38.89 X811, 38.41/38.89 powerset( 38.41/38.89 X810)) => 38.41/38.89 (![X812]: 38.41/38.89 (in( 38.41/38.89 X812, 38.41/38.89 powerset( 38.41/38.89 X810)) => 38.41/38.89 (subset( 38.41/38.89 X811, 38.41/38.89 setminus( 38.41/38.89 X810,X812)) => 38.41/38.89 (![X813]: 38.41/38.89 (in( 38.41/38.89 X813,X810) => 38.41/38.89 (in( 38.41/38.89 X813,X812) => 38.41/38.89 in( 38.41/38.89 X813, 38.41/38.89 setminus( 38.41/38.89 X810,X811)))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X814, 38.41/38.89 X815]: 38.41/38.89 (in( 38.41/38.89 X815, 38.41/38.89 powerset( 38.41/38.89 X814)) => 38.41/38.89 (![X816]: 38.41/38.89 (in( 38.41/38.89 X816, 38.41/38.89 powerset( 38.41/38.89 X814)) => 38.41/38.89 (subset( 38.41/38.89 X815, 38.41/38.89 setminus( 38.41/38.89 X814,X816)) => 38.41/38.89 subset( 38.41/38.89 X816, 38.41/38.89 setminus( 38.41/38.89 X814,X815))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X817, 38.41/38.89 X818]: 38.41/38.89 (in( 38.41/38.89 X818, 38.41/38.89 powerset( 38.41/38.89 X817)) => 38.41/38.89 (![X819]: 38.41/38.89 (in( 38.41/38.89 X819, 38.41/38.89 powerset( 38.41/38.89 X817)) => 38.41/38.89 (![X820]: 38.41/38.89 (in( 38.41/38.89 X820,X817) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X820, 38.41/38.89 binunion( 38.41/38.89 X818,X819))) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X820,X818))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X821, 38.41/38.89 X822]: 38.41/38.89 (in( 38.41/38.89 X822, 38.41/38.89 powerset( 38.41/38.89 X821)) => 38.41/38.89 (![X823]: 38.41/38.89 (in( 38.41/38.89 X823, 38.41/38.89 powerset( 38.41/38.89 X821)) => 38.41/38.89 (![X824]: 38.41/38.89 (in( 38.41/38.89 X824,X821) => 38.41/38.89 (( 38.41/38.89 ~ 38.41/38.89 in( 38.41/38.89 X824, 38.41/38.89 binunion( 38.41/38.89 X822,X823))) => 38.41/38.89 (~ 38.41/38.89 in( 38.41/38.89 X824,X823))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X825, 38.41/38.89 X826]: 38.41/38.89 (in( 38.41/38.89 X826, 38.41/38.89 powerset( 38.41/38.89 X825)) => 38.41/38.89 (![X827]: 38.41/38.89 (in( 38.41/38.89 X827, 38.41/38.89 powerset( 38.41/38.89 X825)) => 38.41/38.89 (![X828]: 38.41/38.89 (in( 38.41/38.89 X828, 38.41/38.89 powerset( 38.41/38.89 X825)) => 38.41/38.89 (![X829]: 38.41/38.89 (in( 38.41/38.89 X829,X825) => 38.41/38.89 (in( 38.41/38.89 X829, 38.41/38.89 binintersect( 38.41/38.89 X826,X827)) => 38.41/38.89 in( 38.41/38.89 X829, 38.41/38.89 binunion( 38.41/38.89 X826,X828))))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.89 ![X830, 38.41/38.89 X831]: 38.41/38.89 (in( 38.41/38.89 X831, 38.41/38.89 powerset( 38.41/38.89 X830)) => 38.41/38.89 (![X832]: 38.41/38.89 (in( 38.41/38.89 X832, 38.41/38.89 powerset( 38.41/38.89 X830)) => 38.41/38.89 (![X833]: 38.41/38.89 (in( 38.41/38.89 X833, 38.41/38.89 powerset( 38.41/38.89 X830)) => 38.41/38.89 (![X834]: 38.41/38.89 (in( 38.41/38.89 X834,X830) => 38.41/38.89 (in( 38.41/38.89 X834, 38.41/38.89 binintersect( 38.41/38.89 X831,X832)) => 38.41/38.89 in( 38.41/38.89 X834, 38.41/38.89 binunion( 38.41/38.89 X832,X833))))))))))) => 38.41/38.89 ( 38.41/38.89 ( 38.41/38.90 ![X835, 38.41/38.90 X836]: 38.41/38.90 (in( 38.41/38.90 X836, 38.41/38.90 powerset( 38.41/38.90 X835)) => 38.41/38.90 (![X837]: 38.41/38.90 (in( 38.41/38.90 X837, 38.41/38.90 powerset( 38.41/38.90 X835)) => 38.41/38.90 (![X838]: 38.41/38.90 (in( 38.41/38.90 X838, 38.41/38.90 powerset( 38.41/38.90 X835)) => 38.41/38.90 (![X839]: 38.41/38.90 (in( 38.41/38.90 X839,X835) => 38.41/38.90 (in( 38.41/38.90 X839, 38.41/38.90 binintersect( 38.41/38.90 X836,X837)) => 38.41/38.90 in( 38.41/38.90 X839, 38.41/38.90 binintersect( 38.41/38.90 binunion( 38.41/38.90 X836,X838), 38.41/38.90 binunion( 38.41/38.90 X837,X838)))))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X840, 38.41/38.90 X841]: 38.41/38.90 (in( 38.41/38.90 X841, 38.41/38.90 powerset( 38.41/38.90 X840)) => 38.41/38.90 (![X842]: 38.41/38.90 (in( 38.41/38.90 X842, 38.41/38.90 powerset( 38.41/38.90 X840)) => 38.41/38.90 (![X843]: 38.41/38.90 (in( 38.41/38.90 X843, 38.41/38.90 powerset( 38.41/38.90 X840)) => 38.41/38.90 in( 38.41/38.90 binintersect( 38.41/38.90 X841,X842), 38.41/38.90 powerset( 38.41/38.90 binintersect( 38.41/38.90 binunion( 38.41/38.90 X841,X843), 38.41/38.90 binunion( 38.41/38.90 X842,X843)))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X844, 38.41/38.90 X845]: 38.41/38.90 (in( 38.41/38.90 X845, 38.41/38.90 powerset( 38.41/38.90 X844)) => 38.41/38.90 (![X846]: 38.41/38.90 (in( 38.41/38.90 X846, 38.41/38.90 powerset( 38.41/38.90 X844)) => 38.41/38.90 (![X847]: 38.41/38.90 (in( 38.41/38.90 X847,X844) => 38.41/38.90 (in( 38.41/38.90 X847, 38.41/38.90 setminus( 38.41/38.90 X844, 38.41/38.90 binunion( 38.41/38.90 X845,X846))) => 38.41/38.90 (~ 38.41/38.90 in( 38.41/38.90 X847,X845))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X848, 38.41/38.90 X849]: 38.41/38.90 (in( 38.41/38.90 X849, 38.41/38.90 powerset( 38.41/38.90 X848)) => 38.41/38.90 (![X850]: 38.41/38.90 (in( 38.41/38.90 X850, 38.41/38.90 powerset( 38.41/38.90 X848)) => 38.41/38.90 (![X851]: 38.41/38.90 (in( 38.41/38.90 X851,X848) => 38.41/38.90 (in( 38.41/38.90 X851, 38.41/38.90 setminus( 38.41/38.90 X848, 38.41/38.90 binunion( 38.41/38.90 X849,X850))) => 38.41/38.90 in( 38.41/38.90 X851, 38.41/38.90 setminus( 38.41/38.90 X848,X849))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X852, 38.41/38.90 X853]: 38.41/38.90 (in( 38.41/38.90 X853, 38.41/38.90 powerset( 38.41/38.90 X852)) => 38.41/38.90 (![X854]: 38.41/38.90 (in( 38.41/38.90 X854, 38.41/38.90 powerset( 38.41/38.90 X852)) => 38.41/38.90 (![X855:$o, 38.41/38.90 X856]: 38.41/38.90 (in( 38.41/38.90 X856,X852) => 38.41/38.90 (in( 38.41/38.90 X856, 38.41/38.90 binunion( 38.41/38.90 X853,X854)) => 38.41/38.90 (( 38.41/38.90 in( 38.41/38.90 X856,X853) => 38.41/38.90 X855) => 38.41/38.90 (( 38.41/38.90 in( 38.41/38.90 X856,X854) => 38.41/38.90 X855) => 38.41/38.90 X855))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X857, 38.41/38.90 X858]: 38.41/38.90 (in( 38.41/38.90 X858, 38.41/38.90 powerset( 38.41/38.90 X857)) => 38.41/38.90 (![X859]: 38.41/38.90 (in( 38.41/38.90 X859, 38.41/38.90 powerset( 38.41/38.90 X857)) => 38.41/38.90 (![X860]: 38.41/38.90 (in( 38.41/38.90 X860,X857) => 38.41/38.90 (( 38.41/38.90 ~ 38.41/38.90 in( 38.41/38.90 X860,X858)) => 38.41/38.90 (( 38.41/38.90 ~ 38.41/38.90 in( 38.41/38.90 X860,X859)) => 38.41/38.90 (~ 38.41/38.90 in( 38.41/38.90 X860, 38.41/38.90 binunion( 38.41/38.90 X858,X859))))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X861, 38.41/38.90 X862]: 38.41/38.90 (in( 38.41/38.90 X862, 38.41/38.90 powerset( 38.41/38.90 X861)) => 38.41/38.90 (![X863]: 38.41/38.90 (in( 38.41/38.90 X863, 38.41/38.90 powerset( 38.41/38.90 X861)) => 38.41/38.90 (![X864]: 38.41/38.90 (in( 38.41/38.90 X864,X861) => 38.41/38.90 (in( 38.41/38.90 X864, 38.41/38.90 setminus( 38.41/38.90 X861, 38.41/38.90 binunion( 38.41/38.90 X862,X863))) => 38.41/38.90 in( 38.41/38.90 X864, 38.41/38.90 setminus( 38.41/38.90 X861,X862))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X865, 38.41/38.90 X866]: 38.41/38.90 (in( 38.41/38.90 X866, 38.41/38.90 powerset( 38.41/38.90 X865)) => 38.41/38.90 (![X867]: 38.41/38.90 (in( 38.41/38.90 X867, 38.41/38.90 powerset( 38.41/38.90 X865)) => 38.41/38.90 in( 38.41/38.90 setminus( 38.41/38.90 X865, 38.41/38.90 binunion( 38.41/38.90 X866,X867)), 38.41/38.90 powerset( 38.41/38.90 setminus( 38.41/38.90 X865,X866))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X868, 38.41/38.90 X869]: 38.41/38.90 (in( 38.41/38.90 X869, 38.41/38.90 powerset( 38.41/38.90 X868)) => 38.41/38.90 (![X870]: 38.41/38.90 (in( 38.41/38.90 X870, 38.41/38.90 powerset( 38.41/38.90 X868)) => 38.41/38.90 (![X871]: 38.41/38.90 (in( 38.41/38.90 X871,X868) => 38.41/38.90 (in( 38.41/38.90 X871, 38.41/38.90 setminus( 38.41/38.90 X868, 38.41/38.90 binunion( 38.41/38.90 X869,X870))) => 38.41/38.90 in( 38.41/38.90 X871, 38.41/38.90 setminus( 38.41/38.90 X868,X870))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X872, 38.41/38.90 X873]: 38.41/38.90 (in( 38.41/38.90 X873, 38.41/38.90 powerset( 38.41/38.90 X872)) => 38.41/38.90 (![X874]: 38.41/38.90 (in( 38.41/38.90 X874, 38.41/38.90 powerset( 38.41/38.90 X872)) => 38.41/38.90 (![X875]: 38.41/38.90 (in( 38.41/38.90 X875,X872) => 38.41/38.90 (in( 38.41/38.90 X875, 38.41/38.90 setminus( 38.41/38.90 X872, 38.41/38.90 binintersect( 38.41/38.90 X873,X874))) => 38.41/38.90 in( 38.41/38.90 X875, 38.41/38.90 binunion( 38.41/38.90 setminus( 38.41/38.90 X872,X873), 38.41/38.90 setminus( 38.41/38.90 X872,X874)))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X876, 38.41/38.90 X877]: 38.41/38.90 (in( 38.41/38.90 X877, 38.41/38.90 powerset( 38.41/38.90 X876)) => 38.41/38.90 (![X878]: 38.41/38.90 (in( 38.41/38.90 X878, 38.41/38.90 powerset( 38.41/38.90 X876)) => 38.41/38.90 (![X879]: 38.41/38.90 (in( 38.41/38.90 X879,X876) => 38.41/38.90 (in( 38.41/38.90 X879, 38.41/38.90 binunion( 38.41/38.90 setminus( 38.41/38.90 X876,X877), 38.41/38.90 setminus( 38.41/38.90 X876,X878))) => 38.41/38.90 in( 38.41/38.90 X879, 38.41/38.90 setminus( 38.41/38.90 X876, 38.41/38.90 binintersect( 38.41/38.90 X877,X878)))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X880, 38.41/38.90 X881]: 38.41/38.90 (in( 38.41/38.90 X881, 38.41/38.90 powerset( 38.41/38.90 X880)) => 38.41/38.90 (![X882]: 38.41/38.90 (in( 38.41/38.90 X882, 38.41/38.90 powerset( 38.41/38.90 X880)) => 38.41/38.90 (setminus( 38.41/38.90 X880, 38.41/38.90 binintersect( 38.41/38.90 X881,X882)) = 38.41/38.90 binunion( 38.41/38.90 setminus( 38.41/38.90 X880,X881), 38.41/38.90 setminus( 38.41/38.90 X880,X882))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X883, 38.41/38.90 X884]: 38.41/38.90 (in( 38.41/38.90 X884, 38.41/38.90 powerset( 38.41/38.90 X883)) => 38.41/38.90 (![X885]: 38.41/38.90 (in( 38.41/38.90 X885, 38.41/38.90 powerset( 38.41/38.90 X883)) => 38.41/38.90 (![X886]: 38.41/38.90 (in( 38.41/38.90 X886,X883) => 38.41/38.90 (in( 38.41/38.90 X886, 38.41/38.90 setminus( 38.41/38.90 X883, 38.41/38.90 binunion( 38.41/38.90 X884,X885))) => 38.41/38.90 in( 38.41/38.90 X886, 38.41/38.90 binintersect( 38.41/38.90 setminus( 38.41/38.90 X883,X884), 38.41/38.90 setminus( 38.41/38.90 X883,X885)))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X887, 38.41/38.90 X888]: 38.41/38.90 (in( 38.41/38.90 X888, 38.41/38.90 powerset( 38.41/38.90 X887)) => 38.41/38.90 (![X889]: 38.41/38.90 (in( 38.41/38.90 X889, 38.41/38.90 powerset( 38.41/38.90 X887)) => 38.41/38.90 (![X890]: 38.41/38.90 (in( 38.41/38.90 X890,X887) => 38.41/38.90 (in( 38.41/38.90 X890, 38.41/38.90 setminus( 38.41/38.90 X887,X888)) => 38.41/38.90 (in( 38.41/38.90 X890, 38.41/38.90 setminus( 38.41/38.90 X887,X889)) => 38.41/38.90 in( 38.41/38.90 X890, 38.41/38.90 setminus( 38.41/38.90 X887, 38.41/38.90 binunion( 38.41/38.90 X888,X889))))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X891, 38.41/38.90 X892]: 38.41/38.90 (in( 38.41/38.90 X892, 38.41/38.90 powerset( 38.41/38.90 X891)) => 38.41/38.90 (![X893]: 38.41/38.90 (in( 38.41/38.90 X893, 38.41/38.90 powerset( 38.41/38.90 X891)) => 38.41/38.90 (![X894]: 38.41/38.90 (in( 38.41/38.90 X894,X891) => 38.41/38.90 (in( 38.41/38.90 X894, 38.41/38.90 binintersect( 38.41/38.90 setminus( 38.41/38.90 X891,X892), 38.41/38.90 setminus( 38.41/38.90 X891,X893))) => 38.41/38.90 in( 38.41/38.90 X894, 38.41/38.90 setminus( 38.41/38.90 X891, 38.41/38.90 binunion( 38.41/38.90 X892,X893)))))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X895, 38.41/38.90 X896]: 38.41/38.90 (in( 38.41/38.90 X896, 38.41/38.90 powerset( 38.41/38.90 X895)) => 38.41/38.90 (![X897]: 38.41/38.90 (in( 38.41/38.90 X897, 38.41/38.90 powerset( 38.41/38.90 X895)) => 38.41/38.90 (setminus( 38.41/38.90 X895, 38.41/38.90 binunion( 38.41/38.90 X896,X897)) = 38.41/38.90 binintersect( 38.41/38.90 setminus( 38.41/38.90 X895,X896), 38.41/38.90 setminus( 38.41/38.90 X895,X897))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X898, 38.41/38.90 X899]: 38.41/38.90 (in( 38.41/38.90 X899, 38.41/38.90 powerset( 38.41/38.90 X898)) => 38.41/38.90 (![X900]: 38.41/38.90 (in( 38.41/38.90 X900, 38.41/38.90 powerset( 38.41/38.90 X898)) => 38.41/38.90 (![X901]: 38.41/38.90 (in( 38.41/38.90 X901, 38.41/38.90 binintersect( 38.41/38.90 X899,X900)) => 38.41/38.90 in( 38.41/38.90 X901,X898))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X902, 38.41/38.90 X903]: 38.41/38.90 (in( 38.41/38.90 X903, 38.41/38.90 powerset( 38.41/38.90 X902)) => 38.41/38.90 (![X904]: 38.41/38.90 (in( 38.41/38.90 X904, 38.41/38.90 powerset( 38.41/38.90 X902)) => 38.41/38.90 (![X905]: 38.41/38.90 (in( 38.41/38.90 X905, 38.41/38.90 powerset( 38.41/38.90 X902)) => 38.41/38.90 (subset( 38.41/38.90 X903,X905) => 38.41/38.90 subset( 38.41/38.90 binintersect( 38.41/38.90 X903,X904), 38.41/38.90 X905)))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X906, 38.41/38.90 X907]: 38.41/38.90 (in( 38.41/38.90 X907, 38.41/38.90 powerset( 38.41/38.90 X906)) => 38.41/38.90 (![X908]: 38.41/38.90 (in( 38.41/38.90 X908, 38.41/38.90 powerset( 38.41/38.90 X906)) => 38.41/38.90 (![X909]: 38.41/38.90 (in( 38.41/38.90 X909, 38.41/38.90 powerset( 38.41/38.90 X906)) => 38.41/38.90 (subset( 38.41/38.90 X908,X909) => 38.41/38.90 subset( 38.41/38.90 binintersect( 38.41/38.90 X907,X908), 38.41/38.90 X909)))))))) => 38.41/38.90 ( 38.41/38.90 ( 38.41/38.90 ![X910, 38.41/38.90 X911]: 38.41/38.90 (in( 38.41/38.90 X911, 38.41/38.90 powerset( 38.41/38.90 X910)) => 38.41/38.90 (![X912]: 38.41/38.90 (in( 38.41/38.90 X912, 38.41/38.90 powerset( 38.41/38.90 X910)) => 38.41/38.90 (![X913]: 38.41/38.90 (in( 38.41/38.90 X913, 38.41/38.90 powerset( 38.41/38.90 X910)) => 38.41/38.90 (subset( 38.41/38.90 X911,X912) => 38.41/38.90 (subset( 38.41/38.90 X911,X913) => 38.41/38.90 subset( 38.41/38.90 X911, 38.46/38.90 binintersect( 38.46/38.90 X912,X913)))))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X914, 38.46/38.90 X915]: 38.46/38.90 (in( 38.46/38.90 X915, 38.46/38.90 powerset( 38.46/38.90 X914)) => 38.46/38.90 (![X916]: 38.46/38.90 (in( 38.46/38.90 X916, 38.46/38.90 powerset( 38.46/38.90 X914)) => 38.46/38.90 (![X917]: 38.46/38.90 (in( 38.46/38.90 X917, 38.46/38.90 powerset( 38.46/38.90 X914)) => 38.46/38.90 (![X918]: 38.46/38.90 (in( 38.46/38.90 X918, 38.46/38.90 powerset( 38.46/38.90 X914)) => 38.46/38.90 (subset( 38.46/38.90 X915,X917) => 38.46/38.90 (subset( 38.46/38.90 X916,X918) => 38.46/38.90 subset( 38.46/38.90 binintersect( 38.46/38.90 X915,X916), 38.46/38.90 binintersect( 38.46/38.90 X917,X918)))))))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X919, 38.46/38.90 X920]: 38.46/38.90 (in( 38.46/38.90 X920, 38.46/38.90 powerset( 38.46/38.90 X919)) => 38.46/38.90 (![X921]: 38.46/38.90 (in( 38.46/38.90 X921, 38.46/38.90 powerset( 38.46/38.90 X919)) => 38.46/38.90 in( 38.46/38.90 setminus( 38.46/38.90 X919,X920), 38.46/38.90 powerset( 38.46/38.90 setminus( 38.46/38.90 X919, 38.46/38.90 binintersect( 38.46/38.90 X920,X921)))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X922, 38.46/38.90 X923]: 38.46/38.90 (in( 38.46/38.90 X923, 38.46/38.90 powerset( 38.46/38.90 X922)) => 38.46/38.90 (![X924]: 38.46/38.90 (in( 38.46/38.90 X924, 38.46/38.90 powerset( 38.46/38.90 X922)) => 38.46/38.90 (![X925]: 38.46/38.90 (in( 38.46/38.90 X925, 38.46/38.90 powerset( 38.46/38.90 X922)) => 38.46/38.90 (![X926]: 38.46/38.90 (in( 38.46/38.90 X926, 38.46/38.90 powerset( 38.46/38.90 X922)) => 38.46/38.90 (setminus( 38.46/38.90 X922, 38.46/38.90 binintersect( 38.46/38.90 binunion( 38.46/38.90 X923,X924), 38.46/38.90 binunion( 38.46/38.90 X925,X926))) = 38.46/38.90 binunion( 38.46/38.90 binintersect( 38.46/38.90 setminus( 38.46/38.90 X922,X923), 38.46/38.90 setminus( 38.46/38.90 X922,X924)), 38.46/38.90 binintersect( 38.46/38.90 setminus( 38.46/38.90 X922,X925), 38.46/38.90 setminus( 38.46/38.90 X922,X926)))))))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X927, 38.46/38.90 X928]: 38.46/38.90 (in( 38.46/38.90 X928, 38.46/38.90 powerset( 38.46/38.90 X927)) => 38.46/38.90 (![X929]: 38.46/38.90 (in( 38.46/38.90 X929, 38.46/38.90 powerset( 38.46/38.90 X927)) => 38.46/38.90 (![X930]: 38.46/38.90 (in( 38.46/38.90 X930, 38.46/38.90 powerset( 38.46/38.90 X927)) => 38.46/38.90 in( 38.46/38.90 binintersect( 38.46/38.90 X928,X929), 38.46/38.90 powerset( 38.46/38.90 binintersect( 38.46/38.90 binunion( 38.46/38.90 X928,X930), 38.46/38.90 binunion( 38.46/38.90 X929,X930)))))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X931, 38.46/38.90 X932]: 38.46/38.90 (in( 38.46/38.90 X932, 38.46/38.90 powerset( 38.46/38.90 X931)) => 38.46/38.90 (![X933]: 38.46/38.90 (in( 38.46/38.90 X933, 38.46/38.90 powerset( 38.46/38.90 X931)) => 38.46/38.90 (subset( 38.46/38.90 X932, 38.46/38.90 setminus( 38.46/38.90 X931,X933)) => 38.46/38.90 subset( 38.46/38.90 X933, 38.46/38.90 setminus( 38.46/38.90 X931,X932))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X934, 38.46/38.90 X935]: 38.46/38.90 (in( 38.46/38.90 X935, 38.46/38.90 powerset( 38.46/38.90 X934)) => 38.46/38.90 (![X936]: 38.46/38.90 (in( 38.46/38.90 X936, 38.46/38.90 powerset( 38.46/38.90 X934)) => 38.46/38.90 in( 38.46/38.90 setminus( 38.46/38.90 X934, 38.46/38.90 binunion( 38.46/38.90 X935,X936)), 38.46/38.90 powerset( 38.46/38.90 setminus( 38.46/38.90 X934,X935))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X937, 38.46/38.90 X938]: 38.46/38.90 (subset( 38.46/38.90 X938, 38.46/38.90 cartprod( 38.46/38.90 X937,X937)) => 38.46/38.90 (![X939:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ![X940]: 38.46/38.90 (in( 38.46/38.90 X940,X937) => 38.46/38.90 (![X941]: 38.46/38.90 (in( 38.46/38.90 X941,X937) => 38.46/38.90 (in( 38.46/38.90 kpair( 38.46/38.90 X940,X941), 38.46/38.90 X938) => 38.46/38.90 X939( 38.46/38.90 kpair( 38.46/38.90 X940,X941))))))) => 38.46/38.90 (![X942]: 38.46/38.90 (in( 38.46/38.90 X942,X938) => 38.46/38.90 X939( 38.46/38.90 X942))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X943, 38.46/38.90 X944]: 38.46/38.90 (in( 38.46/38.90 X944, 38.46/38.90 breln1Set( 38.46/38.90 X943)) => 38.46/38.90 subset( 38.46/38.90 X944, 38.46/38.90 cartprod( 38.46/38.90 X943,X943)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X945, 38.46/38.90 X946, 38.46/38.90 X947:( 38.46/38.90 ($i * $i) > 38.46/38.90 $o)]: 38.46/38.90 (( 38.46/38.90 ![X948]: 38.46/38.90 (in( 38.46/38.90 X948,X945) => 38.46/38.90 (?[X949]: 38.46/38.90 (in( 38.46/38.90 X949,X946) & 38.46/38.90 X947( 38.46/38.90 X948,X949))))) => 38.46/38.90 (![X950]: 38.46/38.90 (in( 38.46/38.90 X950, 38.46/38.90 breln1Set( 38.46/38.90 X946)) => 38.46/38.90 (reflwellordering( 38.46/38.90 X946,X950) => 38.46/38.90 (![X951]: 38.46/38.90 (in( 38.46/38.90 X951,X945) => 38.46/38.90 singleton( 38.46/38.90 dsetconstr( 38.46/38.90 X946, 38.46/38.90 ^[V_53]: 38.46/38.90 (X947( 38.46/38.90 X951,V_53) & 38.46/38.90 (![X952]: 38.46/38.90 (in( 38.46/38.90 X952,X946) => 38.46/38.90 (X947( 38.46/38.90 X951,X952) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 V_53,X952), 38.46/38.90 X950)))))))))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X953, 38.46/38.90 X954:( 38.46/38.90 ($i * $i) > 38.46/38.90 $o)]: 38.46/38.90 subset( 38.46/38.90 dpsetconstr( 38.46/38.90 X953, 38.46/38.90 X953, 38.46/38.90 ^[V_54, 38.46/38.90 V_55]: 38.46/38.90 X954( 38.46/38.90 V_54,V_55)), 38.46/38.90 cartprod( 38.46/38.90 X953,X953))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X955, 38.46/38.90 X956]: 38.46/38.90 (subset( 38.46/38.90 X956, 38.46/38.90 cartprod( 38.46/38.90 X955,X955)) => 38.46/38.90 (![X957:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ![X958]: 38.46/38.90 (in( 38.46/38.90 X958,X955) => 38.46/38.90 (![X959]: 38.46/38.90 (in( 38.46/38.90 X959,X955) => 38.46/38.90 (in( 38.46/38.90 kpair( 38.46/38.90 X958,X959), 38.46/38.90 X956) => 38.46/38.90 X957( 38.46/38.90 kpair( 38.46/38.90 X958,X959))))))) => 38.46/38.90 (![X960]: 38.46/38.90 (in( 38.46/38.90 X960,X956) => 38.46/38.90 X957( 38.46/38.90 X960))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X961, 38.46/38.90 X962]: 38.46/38.90 (subset( 38.46/38.90 X962, 38.46/38.90 cartprod( 38.46/38.90 X961,X961)) => 38.46/38.90 (![X963]: 38.46/38.90 (subset( 38.46/38.90 X963, 38.46/38.90 cartprod( 38.46/38.90 X961,X961)) => 38.46/38.90 (( 38.46/38.90 ![X964]: 38.46/38.90 (in( 38.46/38.90 X964,X961) => 38.46/38.90 (![X965]: 38.46/38.90 (in( 38.46/38.90 X965,X961) => 38.46/38.90 (in( 38.46/38.90 kpair( 38.46/38.90 X964,X965), 38.46/38.90 X962) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 X964,X965), 38.46/38.90 X963)))))) => 38.46/38.90 subset( 38.46/38.90 X962,X963)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X966, 38.46/38.90 X967]: 38.46/38.90 (subset( 38.46/38.90 X967, 38.46/38.90 cartprod( 38.46/38.90 X966,X966)) => 38.46/38.90 (![X968]: 38.46/38.90 (subset( 38.46/38.90 X968, 38.46/38.90 cartprod( 38.46/38.90 X966,X966)) => 38.46/38.90 (( 38.46/38.90 ![X969]: 38.46/38.90 (in( 38.46/38.90 X969,X966) => 38.46/38.90 (![X970]: 38.46/38.90 (in( 38.46/38.90 X970,X966) => 38.46/38.90 (in( 38.46/38.90 kpair( 38.46/38.90 X969,X970), 38.46/38.90 X967) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 X969,X970), 38.46/38.90 X968)))))) => 38.46/38.90 (( 38.46/38.90 ![X971]: 38.46/38.90 (in( 38.46/38.90 X971,X966) => 38.46/38.90 (![X972]: 38.46/38.90 (in( 38.46/38.90 X972,X966) => 38.46/38.90 (in( 38.46/38.90 kpair( 38.46/38.90 X971,X972), 38.46/38.90 X968) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 X971,X972), 38.46/38.90 X967)))))) => 38.46/38.90 (X967 = 38.46/38.90 X968))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X973, 38.46/38.90 X974]: 38.46/38.90 (subset( 38.46/38.90 X974, 38.46/38.90 cartprod( 38.46/38.90 X973,X973)) => 38.46/38.90 subset( 38.46/38.90 dpsetconstr( 38.46/38.90 X973, 38.46/38.90 X973, 38.46/38.90 ^[V_56, 38.46/38.90 V_57]: 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 V_57,V_56), 38.46/38.90 X974)), 38.46/38.90 cartprod( 38.46/38.90 X973,X973)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X975, 38.46/38.90 X976]: 38.46/38.90 (subset( 38.46/38.90 X976, 38.46/38.90 cartprod( 38.46/38.90 X975,X975)) => 38.46/38.90 (![X977]: 38.46/38.90 (in( 38.46/38.90 X977,X975) => 38.46/38.90 (![X978]: 38.46/38.90 (in( 38.46/38.90 X978,X975) => 38.46/38.90 (in( 38.46/38.90 kpair( 38.46/38.90 X977,X978), 38.46/38.90 X976) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 X978,X977), 38.46/38.90 dpsetconstr( 38.46/38.90 X975, 38.46/38.90 X975, 38.46/38.90 ^[V_58, 38.46/38.90 V_59]: 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 V_59,V_58), 38.46/38.90 X976)))))))))) => 38.46/38.90 ( 38.46/38.90 ![X979, 38.46/38.90 X980]: 38.46/38.90 (subset( 38.46/38.90 X980, 38.46/38.90 cartprod( 38.46/38.90 X979,X979)) => 38.46/38.90 (![X981]: 38.46/38.90 (in( 38.46/38.90 X981,X979) => 38.46/38.90 (![X982]: 38.46/38.90 (in( 38.46/38.90 X982,X979) => 38.46/38.90 (in( 38.46/38.90 kpair( 38.46/38.90 X982,X981), 38.46/38.90 dpsetconstr( 38.46/38.90 X979, 38.46/38.90 X979, 38.46/38.90 ^[V_60, 38.46/38.90 V_61]: 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 V_61,V_60), 38.46/38.90 X980))) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 X981,X982), 38.46/38.90 X980)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 38.46/38.90 tff(zf_stmt_1, type, zip_tseitin5 : ($i * $i > $o) > $o). 38.46/38.90 tff(zf_stmt_2, axiom, 38.46/38.90 (zip_tseitin5(X211,X207) <=> 38.46/38.90 ((![X212]: zip_tseitin4(X212,X211,X207)) & X207(X211)))). 38.46/38.90 tff(zf_stmt_3, type, zip_tseitin4 : ($i * $i * $i > $o) > $o). 38.46/38.90 tff(zf_stmt_4, axiom, 38.46/38.90 (zip_tseitin4(X212,X211,X207) <=> (X207(X212) => (X211 = X212)))). 38.46/38.90 tff(zf_stmt_5, type, zip_tseitin3 : ($i * $i * $i * ($i * $i) > $o) > $o). 38.46/38.90 tff(zf_stmt_6, axiom, 38.46/38.90 (zip_tseitin3(X26,X25,X20,X19) <=> (X19(X26,X25) & in(X26,X20)))). 38.46/38.90 tff(zf_stmt_7, type, zip_tseitin2 : ($i * $i * $i) > $o). 38.46/38.90 tff(zf_stmt_8, axiom, 38.46/38.90 (zip_tseitin2(X14,X13,X12) <=> (in(X14,X12) & in(X13,X14)))). 38.46/38.90 tff(zf_stmt_9, type, zip_tseitin1 : ($i * $i * $i) > $o). 38.46/38.90 tff(zf_stmt_10, axiom, 38.46/38.90 (zip_tseitin1(X11,X10,X9) <=> (in(X11,X10) => in(X11,X9)))). 38.46/38.90 tff(zf_stmt_11, type, zip_tseitin0 : ($i * $i * $i) > $o). 38.46/38.90 tff(zf_stmt_12, axiom, (zip_tseitin0(X8,X7,X6) <=> (in(X8,X7) | (X8 = X6)))). 38.46/38.90 tff(zf_stmt_13, conjecture, 38.46/38.90 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 38.46/38.90 ((![X5]: (~in(X5,emptyset))) => 38.46/38.90 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 38.46/38.90 ((![X9,X10]: 38.46/38.90 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 38.46/38.90 ((![X12,X13]: 38.46/38.90 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 38.46/38.90 (in(emptyset,omega) => 38.46/38.90 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 38.46/38.90 ((![X16]: 38.46/38.90 (((![X17]: 38.46/38.90 ((in(X17,X16) & in(X17,omega)) => 38.46/38.90 in(setadjoin(X17,X17),X16))) & 38.46/38.90 in(emptyset,X16)) => 38.46/38.90 (![X18]: (in(X18,omega) => in(X18,X16))))) => 38.46/38.90 ((![X19:(($i * $i) > $o),X20]: 38.46/38.90 ((![X21]: 38.46/38.90 (in(X21,X20) => 38.46/38.90 (?[X22]: 38.46/38.90 ((![X23]: (X19(X21,X23) => (X22 = X23))) & X19(X21,X22))))) => 38.46/38.90 (?[X24]: 38.46/38.90 (![X25]: 38.46/38.90 (in(X25,X24) <=> (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 38.46/38.90 ((![X27]: 38.46/38.90 ((?[X28]: in(X28,X27)) => 38.46/38.90 (?[X29]: 38.46/38.90 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 38.46/38.90 ((![X31]: 38.46/38.90 (?[X32]: 38.46/38.90 ((![X33]: 38.46/38.90 (((?[X34]: in(X34,X33)) & 38.46/38.90 (![X35]: (in(X35,X33) => in(X35,X31)))) => 38.46/38.90 (?[X36,X37]: 38.46/38.90 ((![X38]: 38.46/38.90 (in(X38,X32) => 38.46/38.90 (in(X37,X38) | 38.46/38.90 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 38.46/38.90 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 38.46/38.90 in(X37,X33) & in(X36,X32))))) & 38.46/38.90 (![X41,X42]: 38.46/38.90 ((in(X42,X32) & in(X41,X32)) => 38.46/38.90 ((![X43]: (in(X43,X42) => in(X43,X41))) | 38.46/38.90 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 38.46/38.90 (![X45,X46]: 38.46/38.90 ((in(X46,X31) & in(X45,X31)) => 38.46/38.90 ((![X47]: 38.46/38.90 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 38.46/38.90 (X45 = X46)))) & 38.46/38.90 (![X48]: 38.46/38.90 (in(X48,X32) => (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 38.46/38.90 ((![X50:($i > $o)]: 38.46/38.90 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 38.46/38.90 X50(descr(^[V_1]: X50(V_1))))) => 38.46/38.90 ((![X53,X54:($i > $o),X55]: 38.46/38.90 (in(X55,X53) => 38.46/38.90 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 38.46/38.90 ((![X56,X57:($i > $o),X58]: 38.46/38.90 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 38.46/38.90 ((![X59,X60:($i > $o),X61]: 38.46/38.90 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 38.46/38.90 ((![X62:($i > $o)]: 38.46/38.90 ((?[X63]: 38.46/38.90 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 38.46/38.90 (?[X65]: 38.46/38.90 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 38.46/38.90 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 38.46/38.90 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 38.46/38.90 ((![X71]: (in(X71,emptyset) => $false)) => 38.46/38.90 ((![X72]: (~in(X72,emptyset))) => 38.46/38.90 ((![X73:($i > $o)]: 38.46/38.90 ((?[X74]: 38.46/38.90 ((![X75]: (X73(X75) => (X74 = X75))) & X73(X74))) => 38.46/38.90 (?[X76]: X73(X76)))) => 38.46/38.90 ((![X77,X78]: 38.46/38.90 ((![X79]: (in(X79,X77) => in(X79,X78))) => 38.46/38.90 ((![X80]: (in(X80,X78) => in(X80,X77))) => 38.46/38.90 (X77 = X78)))) => 38.46/38.90 ((![X81]: 38.46/38.90 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 38.46/38.90 ((![X83]: 38.46/38.90 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 38.46/38.90 ((![X85,X86:($i > $o),X87]: 38.46/38.90 (in(X87,X85) => 38.46/38.90 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 38.46/38.90 X86(X87)))) => 38.46/38.90 ((![X88]: 38.46/38.90 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 38.46/38.90 ((![X90,X91:($i > $o),X92]: 38.46/38.90 (in(X92,X90) => 38.46/38.90 (X91(X92) => 38.46/38.90 (dsetconstr(X90,^[V_6]: X91(V_6)) != 38.46/38.90 emptyset)))) => 38.46/38.90 ((![X93]: 38.46/38.90 ((?[X94]: in(X94,X93)) => (X93 != emptyset))) => 38.46/38.90 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 38.46/38.90 (in(emptyset,setadjoin(emptyset,emptyset)) => 38.46/38.90 ((![X97,X98,X99]: 38.46/38.90 (in(X99,X98) => 38.46/38.90 in(X99,setadjoin(X97,X98)))) => 38.46/38.90 ((![X100,X101,X102]: 38.46/38.90 (in(X102,setadjoin(X100,X101)) => 38.46/38.90 (![X103:$o]: 38.46/38.90 (((X102 = X100) => X103) => 38.46/38.90 ((in(X102,X101) => X103) => X103))))) => 38.46/38.90 ((![X104,X105,X106]: 38.46/38.90 (in(X106,setadjoin(X104,X105)) => 38.46/38.90 (in(X106,X105) | (X106 = X104)))) => 38.46/38.90 ((![X107]: 38.46/38.90 (dsetconstr(X107,^[V_7]: $true) = X107)) => 38.46/38.90 ((![X108,X109]: 38.46/38.90 ((![X110]: 38.46/38.90 (in(X110,X109) => in(X110,X108))) => 38.46/38.90 in(X109,powerset(X108)))) => 38.46/38.90 ((![X111]: in(emptyset,powerset(X111))) => 38.46/38.90 ((![X112]: in(emptyset,powerset(X112))) => 38.46/38.90 ((![X113,X114,X115]: 38.46/38.90 (in(X114,powerset(X113)) => 38.46/38.90 (in(X115,X114) => in(X115,X113)))) => 38.46/38.90 ((![X116,X117,X118]: 38.46/38.90 (in(X117,X118) => 38.46/38.90 (in(X118,X116) => 38.46/38.90 in(X117,setunion(X116))))) => 38.46/38.90 ((![X119,X120]: 38.46/38.90 (in(X120,setunion(X119)) => 38.46/38.90 (![X121:$o]: 38.46/38.90 ((![X122]: 38.46/38.90 (in(X120,X122) => 38.46/38.90 (in(X122,X119) => X121))) => 38.46/38.90 X121)))) => 38.46/38.90 ((![X123,X124]: 38.46/38.90 (in(X124,X123) => 38.46/38.90 in(X124, 38.46/38.90 powerset(setunion(X123))))) => 38.46/38.90 ((![X125:($i > $o)]: 38.46/38.90 ((?[X126]: 38.46/38.90 ((![X127]: 38.46/38.90 (X125(X127) => 38.46/38.90 (X126 = X127))) & 38.46/38.90 X125(X126))) => 38.46/38.90 (?[X128]: 38.46/38.90 (![X129]: 38.46/38.90 (X125(X129) <=> 38.46/38.90 (X129 = X128)))))) => 38.46/38.90 ((![X130]: 38.46/38.90 ((X130 != emptyset) => 38.46/38.90 (?[X131]: in(X131,X130)))) => 38.46/38.90 ((![X132,X133]: 38.46/38.90 (in(X132, 38.46/38.90 setadjoin(X133,emptyset)) => 38.46/38.90 (X132 = X133))) => 38.46/38.90 ((![X134,X135]: 38.46/38.90 ((X134 != X135) => 38.46/38.90 (~ 38.46/38.90 in(X135, 38.46/38.90 setadjoin(X134, 38.46/38.90 emptyset))))) => 38.46/38.90 ((![X136,X137]: 38.46/38.90 ((X136 = X137) => 38.46/38.90 in(X136, 38.46/38.90 setadjoin(X137, 38.46/38.90 emptyset)))) => 38.46/38.90 ((![X138,X139]: 38.46/38.90 (in(X138, 38.46/38.90 setadjoin(X139, 38.46/38.90 emptyset)) => 38.46/38.90 in(X139, 38.46/38.90 setadjoin(X138, 38.46/38.90 emptyset)))) => 38.46/38.90 ((![X140,X141,X142]: 38.46/38.90 (in(X142, 38.46/38.90 setadjoin(X140, 38.46/38.90 setadjoin( 38.46/38.90 X141, 38.46/38.90 emptyset))) => 38.46/38.90 ((X142 = X141) | 38.46/38.90 (X142 = X140)))) => 38.46/38.90 ((![X143,X144]: 38.46/38.90 in(X143, 38.46/38.90 setadjoin(X143, 38.46/38.90 setadjoin( 38.46/38.90 X144, 38.46/38.90 emptyset)))) => 38.46/38.90 ((![X145,X146]: 38.46/38.90 in(X146, 38.46/38.90 setadjoin(X145, 38.46/38.90 setadjoin( 38.46/38.90 X146, 38.46/38.90 emptyset)))) => 38.46/38.90 ((![X147,X148:($i > $o)]: 38.46/38.90 ((?[X149]: 38.46/38.90 (X148(X149) & 38.46/38.90 in(X149,X147))) => 38.46/38.90 ((dsetconstr( 38.46/38.90 X147, 38.46/38.90 ^[V_8]: X148(V_8)) = 38.46/38.90 emptyset) => 38.46/38.90 $false))) => 38.46/38.90 ((![X150:($i > $o),X151]: 38.46/38.90 (in(X151,emptyset) => 38.46/38.90 X150(X151))) => 38.46/38.90 ((![X152,X153:($i > $o)]: 38.46/38.90 ((~ 38.46/38.90 (![X154]: 38.46/38.90 (in(X154,X152) => 38.46/38.90 X153(X154)))) => 38.46/38.90 (?[X155]: 38.46/38.90 ((~X153(X155)) & 38.46/38.90 in(X155,X152))))) => 38.46/38.90 ((![X156, 38.46/38.90 X157:($i > $o)]: 38.46/38.90 ((![X158]: 38.46/38.90 (in(X158,X156) => 38.46/38.90 (~X157(X158)))) => 38.46/38.90 (~ 38.46/38.90 (?[X159]: 38.46/38.90 (X157(X159) & 38.46/38.90 in( 38.46/38.90 X159,X156)))))) => 38.46/38.90 ((![X160, 38.46/38.90 X161:($i > $o)]: 38.46/38.90 ((~ 38.46/38.90 (?[X162]: 38.46/38.90 (X161(X162) & 38.46/38.90 in( 38.46/38.90 X162,X160)))) => 38.46/38.90 (![X163]: 38.46/38.90 (in(X163,X160) => 38.46/38.90 (~X161(X163)))))) => 38.46/38.90 ((![X164, 38.46/38.90 X165:($i > $o)]: 38.46/38.90 ((?[X166]: 38.46/38.90 ((~ 38.46/38.90 X165( 38.46/38.90 X166)) & 38.46/38.90 in( 38.46/38.90 X166,X164))) => 38.46/38.90 (~ 38.46/38.90 (![X167]: 38.46/38.90 (in( 38.46/38.90 X167,X164) => 38.46/38.90 X165( 38.46/38.90 X167)))))) => 38.46/38.90 ((![X168:$o]: 38.46/38.90 (X168 => 38.46/38.90 in(emptyset, 38.46/38.90 prop2set( 38.46/38.90 X168)))) => 38.46/38.90 ((![X169:$o]: 38.46/38.90 (X169 => 38.46/38.90 set2prop( 38.46/38.90 prop2set( 38.46/38.90 X169)))) => 38.46/38.90 ((![X170, 38.46/38.90 X171:( 38.46/38.90 $i > $o)]: 38.46/38.90 ((~ 38.46/38.90 (?[X172]: 38.46/38.90 (X171( 38.46/38.90 X172) & 38.46/38.90 in( 38.46/38.90 X172,X170)))) => 38.46/38.90 (![X173]: 38.46/38.90 ( 38.46/38.90 in( 38.46/38.90 X173,X170) => 38.46/38.90 ( 38.46/38.90 ~ 38.46/38.90 X171( 38.46/38.90 X173)))))) => 38.46/38.90 ((![X174, 38.46/38.90 X175:( 38.46/38.90 $i > $o)]: 38.46/38.90 ((~ 38.46/38.90 ( 38.46/38.90 ![X176]: 38.46/38.90 (in( 38.46/38.90 X176,X174) => 38.46/38.90 X175( 38.46/38.90 X176)))) => 38.46/38.90 (?[X177]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 X175( 38.46/38.90 X177)) & 38.46/38.90 in( 38.46/38.90 X177,X174))))) => 38.46/38.90 ((![X178:( 38.46/38.90 $i > $o)]: 38.46/38.90 ((?[X179]: 38.46/38.90 (( 38.46/38.90 ![X180]: 38.46/38.90 (X178( 38.46/38.90 X180) => 38.46/38.90 (X179 = 38.46/38.90 X180))) & 38.46/38.90 X178( 38.46/38.90 X179))) => 38.46/38.90 (?[X181]: 38.46/38.90 (( 38.46/38.90 ![X182]: 38.46/38.90 (X178( 38.46/38.90 X182) => 38.46/38.90 (X181 = 38.46/38.90 X182))) & 38.46/38.90 X178( 38.46/38.90 X181))))) => 38.46/38.90 ((![X183:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ?[X184]: 38.46/38.90 X183( 38.46/38.90 X184)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X185, 38.46/38.90 X186]: 38.46/38.90 (X183( 38.46/38.90 X185) => 38.46/38.90 (X183( 38.46/38.90 X186) => 38.46/38.90 (X185 = 38.46/38.90 X186)))) => 38.46/38.90 ( 38.46/38.90 ?[X187]: 38.46/38.90 (( 38.46/38.90 ![X188]: 38.46/38.90 (X183( 38.46/38.90 X188) => 38.46/38.90 (X187 = 38.46/38.90 X188))) & 38.46/38.90 X183( 38.46/38.90 X187)))))) => 38.46/38.90 ((![X189:( 38.46/38.90 $i > $o)]: 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ?[X190]: 38.46/38.90 (![X191]: 38.46/38.90 (X189( 38.46/38.90 X191) <=> 38.46/38.90 (X191 = 38.46/38.90 X190)))) => 38.46/38.90 ( 38.46/38.90 ?[X192]: 38.46/38.90 (( 38.46/38.90 ![X193]: 38.46/38.90 (X189( 38.46/38.90 X193) => 38.46/38.90 (X192 = 38.46/38.90 X193))) & 38.46/38.90 X189( 38.46/38.90 X192))))) => 38.46/38.90 ((![X194, 38.46/38.90 X195]: 38.46/38.90 (( 38.46/38.90 X194 = 38.46/38.90 X195) => 38.46/38.90 (![X196, 38.46/38.90 X197]: 38.46/38.90 (( 38.46/38.90 X196 = 38.46/38.90 X197) => 38.46/38.90 (in( 38.46/38.90 X196,X194) => 38.46/38.90 in( 38.46/38.90 X197,X195)))))) => 38.46/38.90 ((![X198, 38.46/38.90 X199]: 38.46/38.90 (( 38.46/38.90 X198 = 38.46/38.90 X199) => 38.46/38.90 (![X200, 38.46/38.90 X201]: 38.46/38.90 (( 38.46/38.90 X200 = 38.46/38.90 X201) => 38.46/38.90 (in( 38.46/38.90 X200,X198) <=> 38.46/38.90 in( 38.46/38.90 X201,X199)))))) => 38.46/38.90 (( 38.46/38.90 ![X202:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ?[X203]: 38.46/38.90 (( 38.46/38.90 ![X204]: 38.46/38.90 (X202( 38.46/38.90 X204) => 38.46/38.90 (X203 = 38.46/38.90 X204))) & 38.46/38.90 X202( 38.46/38.90 X203))) => 38.46/38.90 (![X205, 38.46/38.90 X206]: 38.46/38.90 (X202( 38.46/38.90 X205) => 38.46/38.90 (X202( 38.46/38.90 X206) => 38.46/38.90 (X205 = 38.46/38.90 X206)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X207:( 38.46/38.90 $i > $o), 38.46/38.90 X208:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ![X209, 38.46/38.90 X210]: 38.46/38.90 (( 38.46/38.90 X209 = 38.46/38.90 X210) => 38.46/38.90 (X207( 38.46/38.90 X209) <=> 38.46/38.90 X208( 38.46/38.90 X210)))) => 38.46/38.90 (( 38.46/38.90 ?[X211]: 38.46/38.90 zip_tseitin5( 38.46/38.90 X211,X207)) <=> 38.46/38.90 (?[X213]: 38.46/38.90 zip_tseitin5( 38.46/38.90 X213,X208))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 emptyset = 38.46/38.90 emptyset) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X215, 38.46/38.90 X216]: 38.46/38.90 (( 38.46/38.90 X215 = 38.46/38.90 X216) => 38.46/38.90 (![X217, 38.46/38.90 X218]: 38.46/38.90 (( 38.46/38.90 X217 = 38.46/38.90 X218) => 38.46/38.90 (setadjoin( 38.46/38.90 X215,X217) = 38.46/38.90 setadjoin( 38.46/38.90 X216,X218)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X219, 38.46/38.90 X220]: 38.46/38.90 (( 38.46/38.90 X219 = 38.46/38.90 X220) => 38.46/38.90 (powerset( 38.46/38.90 X219) = 38.46/38.90 powerset( 38.46/38.90 X220)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X221, 38.46/38.90 X222]: 38.46/38.90 (( 38.46/38.90 X221 = 38.46/38.90 X222) => 38.46/38.90 (setunion( 38.46/38.90 X221) = 38.46/38.90 setunion( 38.46/38.90 X222)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 omega = 38.46/38.90 omega) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X223:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ?[X224]: 38.46/38.90 (( 38.46/38.90 ![X225]: 38.46/38.90 (X223( 38.46/38.90 X225) => 38.46/38.90 (X224 = 38.46/38.90 X225))) & 38.46/38.90 X223( 38.46/38.90 X224))) => 38.46/38.90 (![X226, 38.46/38.90 X227]: 38.46/38.90 (X223( 38.46/38.90 X226) => 38.46/38.90 (X223( 38.46/38.90 X227) => 38.46/38.90 (X226 = 38.46/38.90 X227)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X228:( 38.46/38.90 $i > $o), 38.46/38.90 X229:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ![X230, 38.46/38.90 X231]: 38.46/38.90 (( 38.46/38.90 X230 = 38.46/38.90 X231) => 38.46/38.90 (X228( 38.46/38.90 X230) <=> 38.46/38.90 X229( 38.46/38.90 X231)))) => 38.46/38.90 (( 38.46/38.90 ?[X232]: 38.46/38.90 (( 38.46/38.90 ![X233]: 38.46/38.90 (X228( 38.46/38.90 X233) => 38.46/38.90 (X232 = 38.46/38.90 X233))) & 38.46/38.90 X228( 38.46/38.90 X232))) => 38.46/38.90 (( 38.46/38.90 ?[X234]: 38.46/38.90 (( 38.46/38.90 ![X235]: 38.46/38.90 (X229( 38.46/38.90 X235) => 38.46/38.90 (X234 = 38.46/38.90 X235))) & 38.46/38.90 X229( 38.46/38.90 X234))) => 38.46/38.90 (descr( 38.46/38.90 ^[V_9]: 38.46/38.90 X228(V_9)) = 38.46/38.90 descr( 38.46/38.90 ^[V_10]: 38.46/38.90 X229( 38.46/38.90 V_10))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X236, 38.46/38.90 X237]: 38.46/38.90 (( 38.46/38.90 X236 = 38.46/38.90 X237) => 38.46/38.90 (![X238:( 38.46/38.90 $i > $o), 38.46/38.90 X239:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ![X240]: 38.46/38.90 (in( 38.46/38.90 X240,X236) => 38.46/38.90 (![X241]: 38.46/38.90 (in( 38.46/38.90 X241,X237) => 38.46/38.90 (( 38.46/38.90 X240 = 38.46/38.90 X241) => 38.46/38.90 (X238( 38.46/38.90 X240) <=> 38.46/38.90 X239( 38.46/38.90 X241))))))) => 38.46/38.90 (dsetconstr( 38.46/38.90 X236, 38.46/38.90 ^[V_11]: 38.46/38.90 X238( 38.46/38.90 V_11)) = 38.46/38.90 dsetconstr( 38.46/38.90 X237, 38.46/38.90 ^[V_12]: 38.46/38.90 X239( 38.46/38.90 V_12))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X242, 38.46/38.90 X243]: 38.46/38.90 (( 38.46/38.90 ![X244]: 38.46/38.90 (in( 38.46/38.90 X244,X242) => 38.46/38.90 in( 38.46/38.90 X244,X243))) => 38.46/38.90 subset( 38.46/38.90 X242,X243))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X245, 38.46/38.90 X246]: 38.46/38.90 (( 38.46/38.90 X245 = 38.46/38.90 X246) => 38.46/38.90 subset( 38.46/38.90 X246,X245))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X247, 38.46/38.90 X248]: 38.46/38.90 (( 38.46/38.90 X247 = 38.46/38.90 X248) => 38.46/38.90 subset( 38.46/38.90 X247,X248))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X249, 38.46/38.90 X250]: 38.46/38.90 (( 38.46/38.90 ![X251]: 38.46/38.90 (in( 38.46/38.90 X251,X249) => 38.46/38.90 in( 38.46/38.90 X251,X250))) => 38.46/38.90 subset( 38.46/38.90 X249,X250))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X252]: 38.46/38.90 subset( 38.46/38.90 emptyset, 38.46/38.90 X252)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X253, 38.46/38.90 X254,X255]: 38.46/38.90 (subset( 38.46/38.90 X253,X254) => 38.46/38.90 (in( 38.46/38.90 X255,X253) => 38.46/38.90 in( 38.46/38.90 X255,X254)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X256, 38.46/38.90 X257,X258]: 38.46/38.90 (subset( 38.46/38.90 X256,X257) => 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X258,X257)) => 38.46/38.90 (~ 38.46/38.90 in( 38.46/38.90 X258,X256))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X259, 38.46/38.90 X260,X261]: 38.46/38.90 (in( 38.46/38.90 X261,X259) => 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X261,X260)) => 38.46/38.90 (~ 38.46/38.90 subset( 38.46/38.90 X259,X260))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X262, 38.46/38.90 X263]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 subset( 38.46/38.90 X262,X263)) => 38.46/38.90 (X262 != 38.46/38.90 X263))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X264, 38.46/38.90 X265,X266]: 38.46/38.90 (in( 38.46/38.90 X266,X264) => 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X266,X265)) => 38.46/38.90 (X264 != 38.46/38.90 X265)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X267]: 38.46/38.90 subset( 38.46/38.90 X267,X267)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X268, 38.46/38.90 X269,X270]: 38.46/38.90 (subset( 38.46/38.90 X268,X269) => 38.46/38.90 (subset( 38.46/38.90 X269,X270) => 38.46/38.90 subset( 38.46/38.90 X268,X270)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X271, 38.46/38.90 X272]: 38.46/38.90 subset( 38.46/38.90 X272, 38.46/38.90 setadjoin( 38.46/38.90 X271,X272))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X273, 38.46/38.90 X274,X275]: 38.46/38.90 (subset( 38.46/38.90 X273,X275) => 38.46/38.90 subset( 38.46/38.90 X273, 38.46/38.90 setadjoin( 38.46/38.90 X274,X275)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X276, 38.46/38.90 X277]: 38.46/38.90 (subset( 38.46/38.90 X276,X277) => 38.46/38.90 in( 38.46/38.90 X276, 38.46/38.90 powerset( 38.46/38.90 X277)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X278, 38.46/38.90 X279]: 38.46/38.90 (subset( 38.46/38.90 X278,X279) => 38.46/38.90 (subset( 38.46/38.90 X279,X278) => 38.46/38.90 (X278 = 38.46/38.90 X279)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X280]: 38.46/38.90 (subset( 38.46/38.90 X280, 38.46/38.90 emptyset) => 38.46/38.90 (X280 = 38.46/38.90 emptyset))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X281, 38.46/38.90 X282]: 38.46/38.90 (subset( 38.46/38.90 X282,X281) => 38.46/38.90 in( 38.46/38.90 X282, 38.46/38.90 powerset( 38.46/38.90 X281)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X283, 38.46/38.90 X284]: 38.46/38.90 (in( 38.46/38.90 X284, 38.46/38.90 powerset( 38.46/38.90 X283)) => 38.46/38.90 subset( 38.46/38.90 X284,X283))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X285]: 38.46/38.90 in( 38.46/38.90 X285, 38.46/38.90 powerset( 38.46/38.90 X285))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X286, 38.46/38.90 X287]: 38.46/38.90 (subset( 38.46/38.90 X286,X287) => 38.46/38.90 subset( 38.46/38.90 powerset( 38.46/38.90 X286), 38.46/38.90 powerset( 38.46/38.90 X287)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X288, 38.46/38.90 X289:( 38.46/38.90 $i > $o)]: 38.46/38.90 in( 38.46/38.90 dsetconstr( 38.46/38.90 X288, 38.46/38.90 ^[V_13]: 38.46/38.90 X289( 38.46/38.90 V_13)), 38.46/38.90 powerset( 38.46/38.90 X288))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X290, 38.46/38.90 X291:( 38.46/38.90 $i > $o)]: 38.46/38.90 subset( 38.46/38.90 dsetconstr( 38.46/38.90 X290, 38.46/38.90 ^[V_14]: 38.46/38.90 X291( 38.46/38.90 V_14)), 38.46/38.90 X290)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X292, 38.46/38.90 X293,X294]: 38.46/38.90 (in( 38.46/38.90 X294,X292) => 38.46/38.90 in( 38.46/38.90 X294, 38.46/38.90 binunion( 38.46/38.90 X292,X293)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X295, 38.46/38.90 X296]: 38.46/38.90 in( 38.46/38.90 X296, 38.46/38.90 setadjoin( 38.46/38.90 X295, 38.46/38.90 setadjoin( 38.46/38.90 X296, 38.46/38.90 emptyset)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X297, 38.46/38.90 X298,X299]: 38.46/38.90 (in( 38.46/38.90 X299,X298) => 38.46/38.90 in( 38.46/38.90 X299, 38.46/38.90 binunion( 38.46/38.90 X297,X298)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X300, 38.46/38.90 X301, 38.46/38.90 X302, 38.46/38.90 X303:$o]: 38.46/38.90 (in( 38.46/38.90 X302, 38.46/38.90 binunion( 38.46/38.90 X300,X301)) => 38.46/38.90 (( 38.46/38.90 in( 38.46/38.90 X302,X300) => 38.46/38.90 X303) => 38.46/38.90 (( 38.46/38.90 in( 38.46/38.90 X302,X301) => 38.46/38.90 X303) => 38.46/38.90 X303)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X304, 38.46/38.90 X305,X306]: 38.46/38.90 (in( 38.46/38.90 X306, 38.46/38.90 binunion( 38.46/38.90 X304,X305)) => 38.46/38.90 (in( 38.46/38.90 X306,X305) | 38.46/38.90 in( 38.46/38.90 X306,X304)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X307, 38.46/38.90 X308]: 38.46/38.90 subset( 38.46/38.90 X307, 38.46/38.90 binunion( 38.46/38.90 X307,X308))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X309, 38.46/38.90 X310]: 38.46/38.90 subset( 38.46/38.90 X310, 38.46/38.90 binunion( 38.46/38.90 X309,X310))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X311, 38.46/38.90 X312,X313]: 38.46/38.90 (in( 38.46/38.90 X313,X311) => 38.46/38.90 (in( 38.46/38.90 X313,X312) => 38.46/38.90 in( 38.46/38.90 X313, 38.46/38.90 binintersect( 38.46/38.90 X311,X312))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X314, 38.46/38.90 X315,X316]: 38.46/38.90 (subset( 38.46/38.90 X316,X314) => 38.46/38.90 (subset( 38.46/38.90 X316,X315) => 38.46/38.90 subset( 38.46/38.90 X316, 38.46/38.90 binintersect( 38.46/38.90 X314,X315))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X317, 38.46/38.90 X318,X319]: 38.46/38.90 (in( 38.46/38.90 X319, 38.46/38.90 binintersect( 38.46/38.90 X317,X318)) => 38.46/38.90 in( 38.46/38.90 X319,X317))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X320, 38.46/38.90 X321]: 38.46/38.90 subset( 38.46/38.90 binintersect( 38.46/38.90 X320,X321), 38.46/38.90 X320)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X322, 38.46/38.90 X323]: 38.46/38.90 (subset( 38.46/38.90 X322,X323) => 38.46/38.90 (binintersect( 38.46/38.90 X322,X323) = 38.46/38.90 X322))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X324, 38.46/38.90 X325]: 38.46/38.90 (( 38.46/38.90 binintersect( 38.46/38.90 X324,X325) = 38.46/38.90 X325) => 38.46/38.90 subset( 38.46/38.90 X325,X324))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X326, 38.46/38.90 X327,X328]: 38.46/38.90 (in( 38.46/38.90 X328, 38.46/38.90 binintersect( 38.46/38.90 X326,X327)) => 38.46/38.90 in( 38.46/38.90 X328,X327))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X329, 38.46/38.90 X330]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 ( 38.46/38.90 ?[X331]: 38.46/38.90 (in( 38.46/38.90 X331,X330) & 38.46/38.90 in( 38.46/38.90 X331,X329)))) => 38.46/38.90 (binintersect( 38.46/38.90 X329,X330) = 38.46/38.90 emptyset))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X332, 38.46/38.90 X333]: 38.46/38.90 subset( 38.46/38.90 binintersect( 38.46/38.90 X332,X333), 38.46/38.90 X333)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X334, 38.46/38.90 X335]: 38.46/38.90 (subset( 38.46/38.90 X335,X334) => 38.46/38.90 (binintersect( 38.46/38.90 X334,X335) = 38.46/38.90 X335))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X336, 38.46/38.90 X337]: 38.46/38.90 (( 38.46/38.90 binintersect( 38.46/38.90 X336,X337) = 38.46/38.90 X336) => 38.46/38.90 subset( 38.46/38.90 X336,X337))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X338, 38.46/38.90 X339,X340]: 38.46/38.90 (binintersect( 38.46/38.90 X338, 38.46/38.90 binunion( 38.46/38.90 X339,X340)) = 38.46/38.90 binunion( 38.46/38.90 binintersect( 38.46/38.90 X338,X339), 38.46/38.90 binintersect( 38.46/38.90 X338,X340)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X341, 38.46/38.90 X342,X343]: 38.46/38.90 (in( 38.46/38.90 X343,X341) => 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X343,X342)) => 38.46/38.90 in( 38.46/38.90 X343, 38.46/38.90 setminus( 38.46/38.90 X341,X342))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X344, 38.46/38.90 X345,X346]: 38.46/38.90 (in( 38.46/38.90 X346, 38.46/38.90 setminus( 38.46/38.90 X344,X345)) => 38.46/38.90 in( 38.46/38.90 X346,X344))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X347, 38.46/38.90 X348,X349]: 38.46/38.90 (in( 38.46/38.90 X349, 38.46/38.90 setminus( 38.46/38.90 X347,X348)) => 38.46/38.90 (~ 38.46/38.90 in( 38.46/38.90 X349,X348)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X350, 38.46/38.90 X351]: 38.46/38.90 (subset( 38.46/38.90 X350,X351) => 38.46/38.90 (setminus( 38.46/38.90 X350,X351) = 38.46/38.90 emptyset))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X352, 38.46/38.90 X353,X354]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X354, 38.46/38.90 setminus( 38.46/38.90 X352,X353))) => 38.46/38.90 (in( 38.46/38.90 X354,X352) => 38.46/38.90 in( 38.46/38.90 X354,X353)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X355, 38.46/38.90 X356,X357]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X357, 38.46/38.90 setminus( 38.46/38.90 X355,X356))) => 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X357,X356)) => 38.46/38.90 (~ 38.46/38.90 in( 38.46/38.90 X357,X355))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X358, 38.46/38.90 X359,X360]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X360,X358)) => 38.46/38.90 (~ 38.46/38.90 in( 38.46/38.90 X360, 38.46/38.90 setminus( 38.46/38.90 X358,X359))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X361, 38.46/38.90 X362,X363]: 38.46/38.90 (in( 38.46/38.90 X363,X362) => 38.46/38.90 (~ 38.46/38.90 in( 38.46/38.90 X363, 38.46/38.90 setminus( 38.46/38.90 X361,X362))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X364, 38.46/38.90 X365]: 38.46/38.90 subset( 38.46/38.90 setminus( 38.46/38.90 X364,X365), 38.46/38.90 X364)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X366, 38.46/38.90 X367]: 38.46/38.90 (( 38.46/38.90 setminus( 38.46/38.90 X366,X367) = 38.46/38.90 emptyset) => 38.46/38.90 subset( 38.46/38.90 X366,X367))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X368, 38.46/38.90 X369,X370]: 38.46/38.90 (in( 38.46/38.90 X370, 38.46/38.90 symdiff( 38.46/38.90 X368,X369)) => 38.46/38.90 (![X371:$o]: 38.46/38.90 (( 38.46/38.90 in( 38.46/38.90 X370,X368) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X370,X369)) => 38.46/38.90 X371)) => 38.46/38.90 (( 38.46/38.90 ( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X370,X368)) => 38.46/38.90 ( 38.46/38.90 in( 38.46/38.90 X370,X369) => 38.46/38.90 X371)) => 38.46/38.90 X371))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X372, 38.46/38.90 X373,X374]: 38.46/38.90 (in( 38.46/38.90 X374,X372) => 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X374,X373)) => 38.46/38.90 in( 38.46/38.90 X374, 38.46/38.90 symdiff( 38.46/38.90 X372,X373))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X375, 38.46/38.90 X376,X377]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X377,X375)) => 38.46/38.90 (in( 38.46/38.90 X377,X376) => 38.46/38.90 in( 38.46/38.90 X377, 38.46/38.90 symdiff( 38.46/38.90 X375,X376))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X378, 38.46/38.90 X379,X380]: 38.46/38.90 (in( 38.46/38.90 X380,X378) => 38.46/38.90 (in( 38.46/38.90 X380,X379) => 38.46/38.90 (~ 38.46/38.90 in( 38.46/38.90 X380, 38.46/38.90 symdiff( 38.46/38.90 X378,X379)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X381, 38.46/38.90 X382,X383]: 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X383,X381)) => 38.46/38.90 (( 38.46/38.90 ~ 38.46/38.90 in( 38.46/38.90 X383,X382)) => 38.46/38.90 (~ 38.46/38.90 in( 38.46/38.90 X383, 38.46/38.90 symdiff( 38.46/38.90 X381,X382)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X384, 38.46/38.90 X385]: 38.46/38.90 in( 38.46/38.90 X385, 38.46/38.90 setadjoin( 38.46/38.90 X384, 38.46/38.90 setadjoin( 38.46/38.90 X385, 38.46/38.90 emptyset)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X386, 38.46/38.90 X387]: 38.46/38.90 in( 38.46/38.90 X386, 38.46/38.90 setunion( 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X386, 38.46/38.90 emptyset), 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X386, 38.46/38.90 setadjoin( 38.46/38.90 X387, 38.46/38.90 emptyset)), 38.46/38.90 emptyset))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X388, 38.46/38.90 X389]: 38.46/38.90 in( 38.46/38.90 X389, 38.46/38.90 setunion( 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X388, 38.46/38.90 emptyset), 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X388, 38.46/38.90 setadjoin( 38.46/38.90 X389, 38.46/38.90 emptyset)), 38.46/38.90 emptyset))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X390, 38.46/38.90 X391]: 38.46/38.90 iskpair( 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X390, 38.46/38.90 emptyset), 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X390, 38.46/38.90 setadjoin( 38.46/38.90 X391, 38.46/38.90 emptyset)), 38.46/38.90 emptyset)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X392, 38.46/38.90 X393]: 38.46/38.90 iskpair( 38.46/38.90 kpair( 38.46/38.90 X392,X393))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X394, 38.46/38.90 X395]: 38.46/38.90 (in( 38.46/38.90 X395,X394) => 38.46/38.90 subset( 38.46/38.90 setadjoin( 38.46/38.90 X395, 38.46/38.90 emptyset), 38.46/38.90 X394))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X396, 38.46/38.90 X397]: 38.46/38.90 (in( 38.46/38.90 X397,X396) => 38.46/38.90 in( 38.46/38.90 setadjoin( 38.46/38.90 X397, 38.46/38.90 emptyset), 38.46/38.90 powerset( 38.46/38.90 X396)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X398, 38.46/38.90 X399,X400]: 38.46/38.90 (in( 38.46/38.90 X400,X398) => 38.46/38.90 in( 38.46/38.90 setadjoin( 38.46/38.90 X400, 38.46/38.90 emptyset), 38.46/38.90 powerset( 38.46/38.90 binunion( 38.46/38.90 X398,X399))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X401, 38.46/38.90 X402,X403]: 38.46/38.90 (in( 38.46/38.90 X403, 38.46/38.90 setadjoin( 38.46/38.90 X401, 38.46/38.90 setadjoin( 38.46/38.90 X402, 38.46/38.90 emptyset))) => 38.46/38.90 (( 38.46/38.90 X403 = 38.46/38.90 X402) | 38.46/38.90 (X403 = 38.46/38.90 X401)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X404, 38.46/38.90 X405,X406]: 38.46/38.90 (in( 38.46/38.90 X406,X404) => 38.46/38.90 (![X407]: 38.46/38.90 (in( 38.46/38.90 X407,X405) => 38.46/38.90 subset( 38.46/38.90 setadjoin( 38.46/38.90 X406, 38.46/38.90 setadjoin( 38.46/38.90 X407, 38.46/38.90 emptyset)), 38.46/38.90 binunion( 38.46/38.90 X404,X405)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X408, 38.46/38.90 X409,X410]: 38.46/38.90 (in( 38.46/38.90 X410,X408) => 38.46/38.90 (![X411]: 38.46/38.90 (in( 38.46/38.90 X411,X409) => 38.46/38.90 in( 38.46/38.90 setadjoin( 38.46/38.90 X410, 38.46/38.90 setadjoin( 38.46/38.90 X411, 38.46/38.90 emptyset)), 38.46/38.90 powerset( 38.46/38.90 binunion( 38.46/38.90 X408,X409))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X412, 38.46/38.90 X413,X414]: 38.46/38.90 (in( 38.46/38.90 X414,X412) => 38.46/38.90 (![X415]: 38.46/38.90 (in( 38.46/38.90 X415,X413) => 38.46/38.90 subset( 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X414, 38.46/38.90 emptyset), 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X414, 38.46/38.90 setadjoin( 38.46/38.90 X415, 38.46/38.90 emptyset)), 38.46/38.90 emptyset)), 38.46/38.90 powerset( 38.46/38.90 binunion( 38.46/38.90 X412,X413))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X416, 38.46/38.90 X417,X418]: 38.46/38.90 (in( 38.46/38.90 X418,X416) => 38.46/38.90 (![X419]: 38.46/38.90 (in( 38.46/38.90 X419,X417) => 38.46/38.90 in( 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X418, 38.46/38.90 emptyset), 38.46/38.90 setadjoin( 38.46/38.90 setadjoin( 38.46/38.90 X418, 38.46/38.90 setadjoin( 38.46/38.90 X419, 38.46/38.90 emptyset)), 38.46/38.90 emptyset)), 38.46/38.90 powerset( 38.46/38.90 powerset( 38.46/38.90 binunion( 38.46/38.90 X416,X417)))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X420, 38.46/38.90 X421,X422]: 38.46/38.90 (in( 38.46/38.90 X422,X420) => 38.46/38.90 (![X423]: 38.46/38.90 (in( 38.46/38.90 X423,X421) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 X422,X423), 38.46/38.90 powerset( 38.46/38.90 powerset( 38.46/38.90 binunion( 38.46/38.90 X420,X421)))))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X424, 38.46/38.90 X425,X426]: 38.46/38.90 (in( 38.46/38.90 X426,X424) => 38.46/38.90 (![X427]: 38.46/38.90 (in( 38.46/38.90 X427,X425) => 38.46/38.90 in( 38.46/38.90 kpair( 38.46/38.90 X426,X427), 38.46/38.90 cartprod( 38.46/38.90 X424,X425)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X428, 38.46/38.90 X429,X430]: 38.46/38.90 (in( 38.46/38.90 X430, 38.46/38.90 cartprod( 38.46/38.90 X428,X429)) => 38.46/38.90 (?[X431]: 38.46/38.90 (( 38.46/38.90 ?[X432]: 38.46/38.90 (( 38.46/38.90 X430 = 38.46/38.90 kpair( 38.46/38.90 X431,X432)) & 38.46/38.90 in( 38.46/38.90 X432,X429))) & 38.46/38.90 in( 38.46/38.90 X431,X428))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X433, 38.46/38.90 X434,X435]: 38.46/38.90 (in( 38.46/38.90 X435, 38.46/38.90 cartprod( 38.46/38.90 X433,X434)) => 38.46/38.90 iskpair( 38.46/38.90 X435))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X436, 38.46/38.90 X437]: 38.46/38.90 (in( 38.46/38.90 X437, 38.46/38.90 setunion( 38.46/38.90 X436)) => 38.46/38.90 (?[X438]: 38.46/38.90 (in( 38.46/38.90 X437,X438) & 38.46/38.90 in( 38.46/38.90 X438,X436))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X439]: 38.46/38.90 subset( 38.46/38.90 setunion( 38.46/38.90 setadjoin( 38.46/38.90 X439, 38.46/38.90 emptyset)), 38.46/38.90 X439)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X440]: 38.46/38.90 subset( 38.46/38.90 X440, 38.46/38.90 setunion( 38.46/38.90 setadjoin( 38.46/38.90 X440, 38.46/38.90 emptyset)))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X441]: 38.46/38.90 (setunion( 38.46/38.90 setadjoin( 38.46/38.90 X441, 38.46/38.90 emptyset)) = 38.46/38.90 X441)) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X442, 38.46/38.90 X443:( 38.46/38.90 $i > $o)]: 38.46/38.90 (( 38.46/38.90 ![X444]: 38.46/38.90 (in( 38.46/38.90 X444,X442) => 38.46/38.90 (![X445]: 38.46/38.90 (in( 38.46/38.90 X445,X442) => 38.46/38.90 (X443( 38.46/38.90 X444) => 38.46/38.90 (X443( 38.46/38.90 X445) => 38.46/38.90 (X444 = 38.46/38.90 X445))))))) => 38.46/38.90 (( 38.46/38.90 ?[X446]: 38.46/38.90 (X443( 38.46/38.90 X446) & 38.46/38.90 in( 38.46/38.90 X446,X442))) => 38.46/38.90 singleton( 38.46/38.90 dsetconstr( 38.46/38.90 X442, 38.46/38.90 ^[V_15]: 38.46/38.90 X443( 38.46/38.90 V_15)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X447, 38.46/38.90 X448:( 38.46/38.90 $i > $o)]: 38.46/38.90 (ex1( 38.46/38.90 X447, 38.46/38.90 ^[V_16]: 38.46/38.90 X448( 38.46/38.90 V_16)) => 38.46/38.90 (?[X449]: 38.46/38.90 (X448( 38.46/38.90 X449) & 38.46/38.90 in( 38.46/38.90 X449,X447))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X450, 38.46/38.90 X451:( 38.46/38.90 $i > $o), 38.46/38.90 X452]: 38.46/38.90 (in( 38.46/38.90 X452,X450) => 38.46/38.90 (X451( 38.46/38.90 X452) => 38.46/38.90 (( 38.46/38.90 ![X453]: 38.46/38.90 (in( 38.46/38.90 X453,X450) => 38.46/38.90 (X451( 38.46/38.90 X453) => 38.46/38.90 (X453 = 38.46/38.90 X452)))) => 38.46/38.90 ex1( 38.46/38.90 X450, 38.46/38.90 ^[V_17]: 38.46/38.90 X451( 38.46/38.90 V_17)))))) => 38.46/38.90 ( 38.46/38.90 ( 38.46/38.90 ![X454, 38.46/38.91 X455:( 38.46/38.91 $i > $o)]: 38.46/38.91 (( 38.46/38.91 ![X456]: 38.46/38.91 (in( 38.46/38.91 X456,X454) => 38.46/38.91 (![X457]: 38.46/38.91 (in( 38.46/38.91 X457,X454) => 38.46/38.91 (X455( 38.46/38.91 X456) => 38.46/38.91 (X455( 38.46/38.91 X457) => 38.46/38.91 (X456 = 38.46/38.91 X457))))))) => 38.46/38.91 (( 38.46/38.91 ?[X458]: 38.46/38.91 (X455( 38.46/38.91 X458) & 38.46/38.91 in( 38.46/38.91 X458,X454))) => 38.46/38.91 ex1( 38.46/38.91 X454, 38.46/38.91 ^[V_18]: 38.46/38.91 X455( 38.46/38.91 V_18))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X459, 38.46/38.91 X460]: 38.46/38.91 (( 38.46/38.91 setadjoin( 38.46/38.91 X459, 38.46/38.91 emptyset) = 38.46/38.91 setadjoin( 38.46/38.91 X460, 38.46/38.91 emptyset)) => 38.46/38.91 (X459 = 38.46/38.91 X460))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X461, 38.46/38.91 X462,X463]: 38.46/38.91 (in( 38.46/38.91 setadjoin( 38.46/38.91 X463, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X461, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X461, 38.46/38.91 setadjoin( 38.46/38.91 X462, 38.46/38.91 emptyset)), 38.46/38.91 emptyset))) => 38.46/38.91 (X461 = 38.46/38.91 X463))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X464]: 38.46/38.91 (iskpair( 38.46/38.91 X464) => 38.46/38.91 singleton( 38.46/38.91 dsetconstr( 38.46/38.91 setunion( 38.46/38.91 X464), 38.46/38.91 ^[V_19]: 38.46/38.91 in( 38.46/38.91 setadjoin( 38.46/38.91 V_19, 38.46/38.91 emptyset), 38.46/38.91 X464))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X465]: 38.46/38.91 (singleton( 38.46/38.91 X465) => 38.46/38.91 in( 38.46/38.91 setunion( 38.46/38.91 X465), 38.46/38.91 X465))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X466, 38.46/38.91 X467]: 38.46/38.91 (kfst( 38.46/38.91 kpair( 38.46/38.91 X466,X467)) = 38.46/38.91 X466)) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X468, 38.46/38.91 X469,X470]: 38.46/38.91 (in( 38.46/38.91 X470, 38.46/38.91 cartprod( 38.46/38.91 X468,X469)) => 38.46/38.91 in( 38.46/38.91 kfst( 38.46/38.91 X470), 38.46/38.91 X468))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X471, 38.46/38.91 X472, 38.46/38.91 X473,X474]: 38.46/38.91 (( 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X471, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X471, 38.46/38.91 setadjoin( 38.46/38.91 X472, 38.46/38.91 emptyset)), 38.46/38.91 emptyset)) = 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X473, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X473, 38.46/38.91 setadjoin( 38.46/38.91 X474, 38.46/38.91 emptyset)), 38.46/38.91 emptyset))) => 38.46/38.91 (X471 = 38.46/38.91 X473))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X475, 38.46/38.91 X476, 38.46/38.91 X477,X478]: 38.46/38.91 (( 38.46/38.91 kpair( 38.46/38.91 X475,X476) = 38.46/38.91 kpair( 38.46/38.91 X477,X478)) => 38.46/38.91 (X475 = 38.46/38.91 X477))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X479, 38.46/38.91 X480]: 38.46/38.91 (( 38.46/38.91 X479 = 38.46/38.91 X480) => 38.46/38.91 (setadjoin( 38.46/38.91 X479, 38.46/38.91 setadjoin( 38.46/38.91 X480, 38.46/38.91 emptyset)) = 38.46/38.91 setadjoin( 38.46/38.91 X479, 38.46/38.91 emptyset)))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X481, 38.46/38.91 X482]: 38.46/38.91 (( 38.46/38.91 X481 = 38.46/38.91 X482) => 38.46/38.91 (setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X481, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X481, 38.46/38.91 setadjoin( 38.46/38.91 X482, 38.46/38.91 emptyset)), 38.46/38.91 emptyset)) = 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X481, 38.46/38.91 emptyset), 38.46/38.91 emptyset)))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X483, 38.46/38.91 X484, 38.46/38.91 X485,X486]: 38.46/38.91 (( 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X483, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X483, 38.46/38.91 setadjoin( 38.46/38.91 X484, 38.46/38.91 emptyset)), 38.46/38.91 emptyset)) = 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X485, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X485, 38.46/38.91 setadjoin( 38.46/38.91 X486, 38.46/38.91 emptyset)), 38.46/38.91 emptyset))) => 38.46/38.91 (( 38.46/38.91 X485 = 38.46/38.91 X486) => 38.46/38.91 (X484 = 38.46/38.91 X486)))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X487, 38.46/38.91 X488,X489]: 38.46/38.91 (( 38.46/38.91 setadjoin( 38.46/38.91 X487, 38.46/38.91 setadjoin( 38.46/38.91 X488, 38.46/38.91 emptyset)) = 38.46/38.91 setadjoin( 38.46/38.91 X489, 38.46/38.91 emptyset)) => 38.46/38.91 (X487 = 38.46/38.91 X488))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X490, 38.46/38.91 X491, 38.46/38.91 X492,X493]: 38.46/38.91 (( 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X490, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X490, 38.46/38.91 setadjoin( 38.46/38.91 X491, 38.46/38.91 emptyset)), 38.46/38.91 emptyset)) = 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X492, 38.46/38.91 emptyset), 38.46/38.91 setadjoin( 38.46/38.91 setadjoin( 38.46/38.91 X492, 38.46/38.91 setadjoin( 38.46/38.91 X493, 38.46/38.91 emptyset)), 38.46/38.91 emptyset))) => 38.46/38.91 (X491 = 38.46/38.91 X493))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X494, 38.46/38.91 X495, 38.46/38.91 X496,X497]: 38.46/38.91 (( 38.46/38.91 kpair( 38.46/38.91 X494,X495) = 38.46/38.91 kpair( 38.46/38.91 X496,X497)) => 38.46/38.91 (X495 = 38.46/38.91 X497))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X498]: 38.46/38.91 (iskpair( 38.46/38.91 X498) => 38.46/38.91 singleton( 38.46/38.91 dsetconstr( 38.46/38.91 setunion( 38.46/38.91 X498), 38.46/38.91 ^[V_20]: 38.46/38.91 (X498 = 38.46/38.91 kpair( 38.46/38.91 kfst( 38.46/38.91 X498), 38.46/38.91 V_20)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X499, 38.46/38.91 X500]: 38.46/38.91 (ksnd( 38.46/38.91 kpair( 38.46/38.91 X499,X500)) = 38.46/38.91 X500)) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X501]: 38.46/38.91 (iskpair( 38.46/38.91 X501) => 38.46/38.91 (kpair( 38.46/38.91 kfst( 38.46/38.91 X501), 38.46/38.91 ksnd( 38.46/38.91 X501)) = 38.46/38.91 X501))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X502, 38.46/38.91 X503,X504]: 38.46/38.91 (in( 38.46/38.91 X504, 38.46/38.91 cartprod( 38.46/38.91 X502,X503)) => 38.46/38.91 in( 38.46/38.91 ksnd( 38.46/38.91 X504), 38.46/38.91 X503))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X505, 38.46/38.91 X506, 38.46/38.91 X507,X508]: 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X507,X508), 38.46/38.91 cartprod( 38.46/38.91 X505,X506)) => 38.46/38.91 in( 38.46/38.91 X507,X505))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X509, 38.46/38.91 X510, 38.46/38.91 X511,X512]: 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X511,X512), 38.46/38.91 cartprod( 38.46/38.91 X509,X510)) => 38.46/38.91 in( 38.46/38.91 X512,X510))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X513, 38.46/38.91 X514,X515]: 38.46/38.91 (in( 38.46/38.91 X515,X513) => 38.46/38.91 (![X516]: 38.46/38.91 (in( 38.46/38.91 X516,X514) => 38.46/38.91 (kpair( 38.46/38.91 X515,X516) = 38.46/38.91 kpair( 38.46/38.91 X515,X516)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X517, 38.46/38.91 X518,X519]: 38.46/38.91 (in( 38.46/38.91 X519,X517) => 38.46/38.91 (![X520]: 38.46/38.91 (in( 38.46/38.91 X520,X518) => 38.46/38.91 (kfst( 38.46/38.91 kpair( 38.46/38.91 X519,X520)) = 38.46/38.91 X519))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X521, 38.46/38.91 X522,X523]: 38.46/38.91 (in( 38.46/38.91 X523,X521) => 38.46/38.91 (![X524]: 38.46/38.91 (in( 38.46/38.91 X524,X522) => 38.46/38.91 (ksnd( 38.46/38.91 kpair( 38.46/38.91 X523,X524)) = 38.46/38.91 X524))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X525, 38.46/38.91 X526,X527]: 38.46/38.91 (in( 38.46/38.91 X527, 38.46/38.91 cartprod( 38.46/38.91 X525,X526)) => 38.46/38.91 (kpair( 38.46/38.91 kfst( 38.46/38.91 X527), 38.46/38.91 ksnd( 38.46/38.91 X527)) = 38.46/38.91 X527))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X528, 38.46/38.91 X529, 38.46/38.91 X530:( 38.46/38.91 ($i * $i) > 38.46/38.91 $o),X531]: 38.46/38.91 (in( 38.46/38.91 X531,X528) => 38.46/38.91 (![X532]: 38.46/38.91 (in( 38.46/38.91 X532,X529) => 38.46/38.91 (X530( 38.46/38.91 X531,X532) => 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X531,X532), 38.46/38.91 dpsetconstr( 38.46/38.91 X528, 38.46/38.91 X529, 38.46/38.91 ^[V_21, 38.46/38.91 V_22]: 38.46/38.91 X530( 38.46/38.91 V_21,V_22)))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X533, 38.46/38.91 X534, 38.46/38.91 X535:( 38.46/38.91 ($i * $i) > 38.46/38.91 $o)]: 38.46/38.91 subset( 38.46/38.91 dpsetconstr( 38.46/38.91 X533, 38.46/38.91 X534, 38.46/38.91 ^[V_23, 38.46/38.91 V_24]: 38.46/38.91 X535( 38.46/38.91 V_23,V_24)), 38.46/38.91 cartprod( 38.46/38.91 X533,X534))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X536, 38.46/38.91 X537, 38.46/38.91 X538:( 38.46/38.91 ($i * $i) > 38.46/38.91 $o)]: 38.46/38.91 subset( 38.46/38.91 dpsetconstr( 38.46/38.91 X536, 38.46/38.91 X537, 38.46/38.91 ^[V_25, 38.46/38.91 V_26]: 38.46/38.91 X538( 38.46/38.91 V_25,V_26)), 38.46/38.91 cartprod( 38.46/38.91 X536,X537))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X539, 38.46/38.91 X540, 38.46/38.91 X541:( 38.46/38.91 ($i * $i) > 38.46/38.91 $o),X542]: 38.46/38.91 (in( 38.46/38.91 X542,X539) => 38.46/38.91 (![X543]: 38.46/38.91 (in( 38.46/38.91 X543,X540) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X542,X543), 38.46/38.91 dpsetconstr( 38.46/38.91 X539, 38.46/38.91 X540, 38.46/38.91 ^[V_27, 38.46/38.91 V_28]: 38.46/38.91 X541( 38.46/38.91 V_27,V_28))) => 38.46/38.91 X541( 38.46/38.91 X542,X543)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X544, 38.46/38.91 X545, 38.46/38.91 X546:( 38.46/38.91 ($i * $i) > 38.46/38.91 $o),X547, 38.46/38.91 X548]: 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X547,X548), 38.46/38.91 dpsetconstr( 38.46/38.91 X544, 38.46/38.91 X545, 38.46/38.91 ^[V_29, 38.46/38.91 V_30]: 38.46/38.91 X546( 38.46/38.91 V_29,V_30))) => 38.46/38.91 in( 38.46/38.91 X547,X544))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X549, 38.46/38.91 X550, 38.46/38.91 X551:( 38.46/38.91 ($i * $i) > 38.46/38.91 $o),X552, 38.46/38.91 X553]: 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X552,X553), 38.46/38.91 dpsetconstr( 38.46/38.91 X549, 38.46/38.91 X550, 38.46/38.91 ^[V_31, 38.46/38.91 V_32]: 38.46/38.91 X551( 38.46/38.91 V_31,V_32))) => 38.46/38.91 in( 38.46/38.91 X553,X550))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X554, 38.46/38.91 X555, 38.46/38.91 X556:( 38.46/38.91 ($i * $i) > 38.46/38.91 $o),X557, 38.46/38.91 X558]: 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X557,X558), 38.46/38.91 dpsetconstr( 38.46/38.91 X554, 38.46/38.91 X555, 38.46/38.91 ^[V_33, 38.46/38.91 V_34]: 38.46/38.91 X556( 38.46/38.91 V_33,V_34))) => 38.46/38.91 X556( 38.46/38.91 X557,X558))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X559, 38.46/38.91 X560,X561]: 38.46/38.91 (func( 38.46/38.91 X559, 38.46/38.91 X560,X561) => 38.46/38.91 (![X562]: 38.46/38.91 (in( 38.46/38.91 X562,X559) => 38.46/38.91 singleton( 38.46/38.91 dsetconstr( 38.46/38.91 X560, 38.46/38.91 ^[V_35]: 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X562,V_35), 38.46/38.91 X561))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X563, 38.46/38.91 X564,X565]: 38.46/38.91 (func( 38.46/38.91 X563, 38.46/38.91 X564,X565) => 38.46/38.91 (![X566]: 38.46/38.91 (in( 38.46/38.91 X566,X563) => 38.46/38.91 in( 38.46/38.91 setunion( 38.46/38.91 dsetconstr( 38.46/38.91 X564, 38.46/38.91 ^[V_36]: 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X566,V_36), 38.46/38.91 X565))), 38.46/38.91 X564))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X567, 38.46/38.91 X568,X569]: 38.46/38.91 (func( 38.46/38.91 X567, 38.46/38.91 X568,X569) => 38.46/38.91 (![X570]: 38.46/38.91 (in( 38.46/38.91 X570,X567) => 38.46/38.91 in( 38.46/38.91 ap( 38.46/38.91 X567, 38.46/38.91 X568, 38.46/38.91 X569,X570), 38.46/38.91 X568))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X571, 38.46/38.91 X572,X573]: 38.46/38.91 (in( 38.46/38.91 X573, 38.46/38.91 funcSet( 38.46/38.91 X571,X572)) => 38.46/38.91 func( 38.46/38.91 X571, 38.46/38.91 X572,X573))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X574, 38.46/38.91 X575,X576]: 38.46/38.91 (in( 38.46/38.91 X576, 38.46/38.91 funcSet( 38.46/38.91 X574,X575)) => 38.46/38.91 (![X577]: 38.46/38.91 (in( 38.46/38.91 X577,X574) => 38.46/38.91 in( 38.46/38.91 ap( 38.46/38.91 X574, 38.46/38.91 X575, 38.46/38.91 X576,X577), 38.46/38.91 X575))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X578, 38.46/38.91 X579,X580]: 38.46/38.91 (func( 38.46/38.91 X578, 38.46/38.91 X579,X580) => 38.46/38.91 in( 38.46/38.91 X580, 38.46/38.91 funcSet( 38.46/38.91 X578,X579)))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X581, 38.46/38.91 X582, 38.46/38.91 X583:( 38.46/38.91 $i > $i)]: 38.46/38.91 (( 38.46/38.91 ![X584]: 38.46/38.91 (in( 38.46/38.91 X584,X581) => 38.46/38.91 in( 38.46/38.91 X583( 38.46/38.91 X584), 38.46/38.91 X582))) => 38.46/38.91 func( 38.46/38.91 X581, 38.46/38.91 X582, 38.46/38.91 dpsetconstr( 38.46/38.91 X581, 38.46/38.91 X582, 38.46/38.91 ^[V_37, 38.46/38.91 V_38]: 38.46/38.91 (X583( 38.46/38.91 V_37) = 38.46/38.91 V_38))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X585, 38.46/38.91 X586, 38.46/38.91 X587:( 38.46/38.91 $i > $i)]: 38.46/38.91 (( 38.46/38.91 ![X588]: 38.46/38.91 (in( 38.46/38.91 X588,X585) => 38.46/38.91 in( 38.46/38.91 X587( 38.46/38.91 X588), 38.46/38.91 X586))) => 38.46/38.91 func( 38.46/38.91 X585, 38.46/38.91 X586, 38.46/38.91 lam( 38.46/38.91 X585, 38.46/38.91 X586, 38.46/38.91 ^[V_39]: 38.46/38.91 X587( 38.46/38.91 V_39))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X589, 38.46/38.91 X590, 38.46/38.91 X591:( 38.46/38.91 $i > $i)]: 38.46/38.91 (( 38.46/38.91 ![X592]: 38.46/38.91 (in( 38.46/38.91 X592,X589) => 38.46/38.91 in( 38.46/38.91 X591( 38.46/38.91 X592), 38.46/38.91 X590))) => 38.46/38.91 in( 38.46/38.91 lam( 38.46/38.91 X589, 38.46/38.91 X590, 38.46/38.91 ^[V_40]: 38.46/38.91 X591( 38.46/38.91 V_40)), 38.46/38.91 funcSet( 38.46/38.91 X589,X590)))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X593, 38.46/38.91 X594,X595]: 38.46/38.91 (subset( 38.46/38.91 X595, 38.46/38.91 cartprod( 38.46/38.91 X593,X594)) => 38.46/38.91 (![X596:( 38.46/38.91 $i > $o)]: 38.46/38.91 (( 38.46/38.91 ![X597]: 38.46/38.91 (in( 38.46/38.91 X597,X593) => 38.46/38.91 (![X598]: 38.46/38.91 (in( 38.46/38.91 X598,X594) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X597,X598), 38.46/38.91 X595) => 38.46/38.91 X596( 38.46/38.91 kpair( 38.46/38.91 X597,X598))))))) => 38.46/38.91 (![X599]: 38.46/38.91 (in( 38.46/38.91 X599,X595) => 38.46/38.91 X596( 38.46/38.91 X599))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X600, 38.46/38.91 X601,X602]: 38.46/38.91 (subset( 38.46/38.91 X602, 38.46/38.91 cartprod( 38.46/38.91 X600,X601)) => 38.46/38.91 (![X603:( 38.46/38.91 $i > $o)]: 38.46/38.91 (( 38.46/38.91 ![X604]: 38.46/38.91 (in( 38.46/38.91 X604,X600) => 38.46/38.91 (![X605]: 38.46/38.91 (in( 38.46/38.91 X605,X601) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X604,X605), 38.46/38.91 X602) => 38.46/38.91 X603( 38.46/38.91 kpair( 38.46/38.91 X604,X605))))))) => 38.46/38.91 (![X606]: 38.46/38.91 (in( 38.46/38.91 X606,X602) => 38.46/38.91 X603( 38.46/38.91 X606))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X607, 38.46/38.91 X608:( 38.46/38.91 $i > $o)]: 38.46/38.91 (ex1( 38.46/38.91 X607, 38.46/38.91 ^[V_41]: 38.46/38.91 X608( 38.46/38.91 V_41)) => 38.46/38.91 (![X609]: 38.46/38.91 (in( 38.46/38.91 X609,X607) => 38.46/38.91 (![X610]: 38.46/38.91 (in( 38.46/38.91 X610,X607) => 38.46/38.91 (X608( 38.46/38.91 X609) => 38.46/38.91 (X608( 38.46/38.91 X610) => 38.46/38.91 (X609 = 38.46/38.91 X610))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X611, 38.46/38.91 X612,X613]: 38.46/38.91 (func( 38.46/38.91 X611, 38.46/38.91 X612,X613) => 38.46/38.91 (![X614]: 38.46/38.91 (in( 38.46/38.91 X614,X611) => 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X614, 38.46/38.91 ap( 38.46/38.91 X611, 38.46/38.91 X612, 38.46/38.91 X613,X614)), 38.46/38.91 X613))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X615, 38.46/38.91 X616,X617]: 38.46/38.91 (in( 38.46/38.91 X617, 38.46/38.91 funcSet( 38.46/38.91 X615,X616)) => 38.46/38.91 (![X618]: 38.46/38.91 (in( 38.46/38.91 X618,X615) => 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X618, 38.46/38.91 ap( 38.46/38.91 X615, 38.46/38.91 X616, 38.46/38.91 X617,X618)), 38.46/38.91 X617))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X619, 38.46/38.91 X620,X621]: 38.46/38.91 (func( 38.46/38.91 X619, 38.46/38.91 X620,X621) => 38.46/38.91 (![X622]: 38.46/38.91 (in( 38.46/38.91 X622,X619) => 38.46/38.91 (![X623]: 38.46/38.91 (in( 38.46/38.91 X623,X620) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X622,X623), 38.46/38.91 X621) => 38.46/38.91 (ap( 38.46/38.91 X619, 38.46/38.91 X620, 38.46/38.91 X621,X622) = 38.46/38.91 X623)))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X624, 38.46/38.91 X625,X626]: 38.46/38.91 (func( 38.46/38.91 X624, 38.46/38.91 X625,X626) => 38.46/38.91 (![X627]: 38.46/38.91 (func( 38.46/38.91 X624, 38.46/38.91 X625,X627) => 38.46/38.91 (( 38.46/38.91 ![X628]: 38.46/38.91 (in( 38.46/38.91 X628,X624) => 38.46/38.91 (ap( 38.46/38.91 X624, 38.46/38.91 X625, 38.46/38.91 X626,X628) = 38.46/38.91 ap( 38.46/38.91 X624, 38.46/38.91 X625, 38.46/38.91 X627,X628)))) => 38.46/38.91 (![X629]: 38.46/38.91 (in( 38.46/38.91 X629,X624) => 38.46/38.91 (![X630]: 38.46/38.91 (in( 38.46/38.91 X630,X625) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X629,X630), 38.46/38.91 X627) => 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X629,X630), 38.46/38.91 X626))))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X631, 38.46/38.91 X632,X633]: 38.46/38.91 (in( 38.46/38.91 X633, 38.46/38.91 funcSet( 38.46/38.91 X631,X632)) => 38.46/38.91 (![X634]: 38.46/38.91 (in( 38.46/38.91 X634,X631) => 38.46/38.91 (![X635]: 38.46/38.91 (in( 38.46/38.91 X635,X632) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X634,X635), 38.46/38.91 X633) => 38.46/38.91 (ap( 38.46/38.91 X631, 38.46/38.91 X632, 38.46/38.91 X633,X634) = 38.46/38.91 X635)))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X636, 38.46/38.91 X637,X638]: 38.46/38.91 (subset( 38.46/38.91 X638, 38.46/38.91 cartprod( 38.46/38.91 X636,X637)) => 38.46/38.91 (![X639]: 38.46/38.91 (subset( 38.46/38.91 X639, 38.46/38.91 cartprod( 38.46/38.91 X636,X637)) => 38.46/38.91 (( 38.46/38.91 ![X640]: 38.46/38.91 (in( 38.46/38.91 X640,X636) => 38.46/38.91 (![X641]: 38.46/38.91 (in( 38.46/38.91 X641,X637) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X640,X641), 38.46/38.91 X638) => 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X640,X641), 38.46/38.91 X639)))))) => 38.46/38.91 subset( 38.46/38.91 X638,X639)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X642, 38.46/38.91 X643,X644]: 38.46/38.91 (subset( 38.46/38.91 X644, 38.46/38.91 cartprod( 38.46/38.91 X642,X643)) => 38.46/38.91 (![X645]: 38.46/38.91 (subset( 38.46/38.91 X645, 38.46/38.91 cartprod( 38.46/38.91 X642,X643)) => 38.46/38.91 (( 38.46/38.91 ![X646]: 38.46/38.91 (in( 38.46/38.91 X646,X642) => 38.46/38.91 (![X647]: 38.46/38.91 (in( 38.46/38.91 X647,X643) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X646,X647), 38.46/38.91 X644) => 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X646,X647), 38.46/38.91 X645)))))) => 38.46/38.91 (( 38.46/38.91 ![X648]: 38.46/38.91 (in( 38.46/38.91 X648,X642) => 38.46/38.91 (![X649]: 38.46/38.91 (in( 38.46/38.91 X649,X643) => 38.46/38.91 (in( 38.46/38.91 kpair( 38.46/38.91 X648,X649), 38.46/38.91 X645) => 38.46/38.91 in( 38.46/38.91 kpair( 38.46/38.91 X648,X649), 38.46/38.91 X644)))))) => 38.46/38.91 (X644 = 38.46/38.91 X645))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X650, 38.46/38.91 X651,X652]: 38.46/38.91 (func( 38.46/38.91 X650, 38.46/38.91 X651,X652) => 38.46/38.91 (![X653]: 38.46/38.91 (func( 38.46/38.91 X650, 38.46/38.91 X651,X653) => 38.46/38.91 (( 38.46/38.91 ![X654]: 38.46/38.91 (in( 38.46/38.91 X654,X650) => 38.46/38.91 (ap( 38.46/38.91 X650, 38.46/38.91 X651, 38.46/38.91 X652,X654) = 38.46/38.91 ap( 38.46/38.91 X650, 38.46/38.91 X651, 38.46/38.91 X653,X654)))) => 38.46/38.91 (X652 = 38.46/38.91 X653)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X655, 38.46/38.91 X656,X657]: 38.46/38.91 (in( 38.46/38.91 X657, 38.46/38.91 funcSet( 38.46/38.91 X655,X656)) => 38.46/38.91 (![X658]: 38.46/38.91 (in( 38.46/38.91 X658, 38.46/38.91 funcSet( 38.46/38.91 X655,X656)) => 38.46/38.91 (( 38.46/38.91 ![X659]: 38.46/38.91 (in( 38.46/38.91 X659,X655) => 38.46/38.91 (ap( 38.46/38.91 X655, 38.46/38.91 X656, 38.46/38.91 X657,X659) = 38.46/38.91 ap( 38.46/38.91 X655, 38.46/38.91 X656, 38.46/38.91 X658,X659)))) => 38.46/38.91 (X657 = 38.46/38.91 X658)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X660, 38.46/38.91 X661,X662]: 38.46/38.91 (in( 38.46/38.91 X662, 38.46/38.91 funcSet( 38.46/38.91 X660,X661)) => 38.46/38.91 (![X663]: 38.46/38.91 (in( 38.46/38.91 X663,X660) => 38.46/38.91 (ap( 38.46/38.91 X660, 38.46/38.91 X661, 38.46/38.91 X662,X663) = 38.46/38.91 ap( 38.46/38.91 X660, 38.46/38.91 X661, 38.46/38.91 X662,X663)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X664, 38.46/38.91 X665,X666]: 38.46/38.91 (func( 38.46/38.91 X664, 38.46/38.91 X665,X666) => 38.46/38.91 (![X667]: 38.46/38.91 (in( 38.46/38.91 X667,X664) => 38.46/38.91 (ap( 38.46/38.91 X664, 38.46/38.91 X665, 38.46/38.91 X666,X667) = 38.46/38.91 ap( 38.46/38.91 X664, 38.46/38.91 X665, 38.46/38.91 X666,X667)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X668, 38.46/38.91 X669, 38.46/38.91 X670:( 38.46/38.91 $i > $i)]: 38.46/38.91 (( 38.46/38.91 ![X671]: 38.46/38.91 (in( 38.46/38.91 X671,X668) => 38.46/38.91 in( 38.46/38.91 X670( 38.46/38.91 X671), 38.46/38.91 X669))) => 38.46/38.91 (![X672]: 38.46/38.91 (in( 38.46/38.91 X672,X668) => 38.46/38.91 (ap( 38.46/38.91 X668, 38.46/38.91 X669, 38.46/38.91 lam( 38.46/38.91 X668, 38.46/38.91 X669, 38.46/38.91 ^[V_42]: 38.46/38.91 X670( 38.46/38.91 V_42)), 38.46/38.91 X672) = 38.46/38.91 X670( 38.46/38.91 X672)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X673, 38.46/38.91 X674,X675]: 38.46/38.91 (func( 38.46/38.91 X673, 38.46/38.91 X674,X675) => 38.46/38.91 (lam( 38.46/38.91 X673, 38.46/38.91 X674, 38.46/38.91 ^[V_43]: 38.46/38.91 ap( 38.46/38.91 X673, 38.46/38.91 X674, 38.46/38.91 X675,V_43)) = 38.46/38.91 X675))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X676, 38.46/38.91 X677, 38.46/38.91 X678:( 38.46/38.91 $i > $i)]: 38.46/38.91 (( 38.46/38.91 ![X679]: 38.46/38.91 (in( 38.46/38.91 X679,X676) => 38.46/38.91 in( 38.46/38.91 X678( 38.46/38.91 X679), 38.46/38.91 X677))) => 38.46/38.91 (lam( 38.46/38.91 X676, 38.46/38.91 X677, 38.46/38.91 ^[V_44]: 38.46/38.91 X678( 38.46/38.91 V_44)) = 38.46/38.91 lam( 38.46/38.91 X676, 38.46/38.91 X677, 38.46/38.91 ^[V_45]: 38.46/38.91 X678( 38.46/38.91 V_45))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X680, 38.46/38.91 X681, 38.46/38.91 X682:( 38.46/38.91 $i > $i)]: 38.46/38.91 (( 38.46/38.91 ![X683]: 38.46/38.91 (in( 38.46/38.91 X683,X680) => 38.46/38.91 in( 38.46/38.91 X682( 38.46/38.91 X683), 38.46/38.91 X681))) => 38.46/38.91 (![X684]: 38.46/38.91 (in( 38.46/38.91 X684,X680) => 38.46/38.91 (ap( 38.46/38.91 X680, 38.46/38.91 X681, 38.46/38.91 lam( 38.46/38.91 X680, 38.46/38.91 X681, 38.46/38.91 ^[V_46]: 38.46/38.91 X682( 38.46/38.91 V_46)), 38.46/38.91 X684) = 38.46/38.91 X682( 38.46/38.91 X684)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X685, 38.46/38.91 X686,X687]: 38.46/38.91 (in( 38.46/38.91 X687, 38.46/38.91 funcSet( 38.46/38.91 X685,X686)) => 38.46/38.91 (lam( 38.46/38.91 X685, 38.46/38.91 X686, 38.46/38.91 ^[V_47]: 38.46/38.91 ap( 38.46/38.91 X685, 38.46/38.91 X686, 38.46/38.91 X687,V_47)) = 38.46/38.91 X687))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X688, 38.46/38.91 X689:$o, 38.46/38.91 X690]: 38.46/38.91 (in( 38.46/38.91 X690,X688) => 38.46/38.91 (![X691]: 38.46/38.91 (in( 38.46/38.91 X691,X688) => 38.46/38.91 (( 38.46/38.91 ~X689) => 38.46/38.91 in( 38.46/38.91 X691, 38.46/38.91 dsetconstr( 38.46/38.91 X688, 38.46/38.91 ^[V_48]: 38.46/38.91 (( 38.46/38.91 X689 & 38.46/38.91 ( 38.46/38.91 V_48 = 38.46/38.91 X690)) | 38.46/38.91 (( 38.46/38.91 ~X689) & 38.46/38.91 (V_48 = 38.46/38.91 X691)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X692, 38.46/38.91 X693:$o, 38.46/38.91 X694]: 38.46/38.91 (in( 38.46/38.91 X694,X692) => 38.46/38.91 (![X695]: 38.46/38.91 (in( 38.46/38.91 X695,X692) => 38.46/38.91 (( 38.46/38.91 ~X693) => 38.46/38.91 (dsetconstr( 38.46/38.91 X692, 38.46/38.91 ^[V_49]: 38.46/38.91 (( 38.46/38.91 X693 & 38.46/38.91 ( 38.46/38.91 V_49 = 38.46/38.91 X694)) | 38.46/38.91 (( 38.46/38.91 ~X693) & 38.46/38.91 (V_49 = 38.46/38.91 X695)))) = 38.46/38.91 setadjoin( 38.46/38.91 X695, 38.46/38.91 emptyset))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X696, 38.46/38.91 X697:$o, 38.46/38.91 X698]: 38.46/38.91 (in( 38.46/38.91 X698,X696) => 38.46/38.91 (![X699]: 38.46/38.91 (in( 38.46/38.91 X699,X696) => 38.46/38.91 (X697 => 38.46/38.91 in( 38.46/38.91 X698, 38.46/38.91 dsetconstr( 38.46/38.91 X696, 38.46/38.91 ^[V_50]: 38.46/38.91 (( 38.46/38.91 X697 & 38.46/38.91 ( 38.46/38.91 V_50 = 38.46/38.91 X698)) | 38.46/38.91 (( 38.46/38.91 ~X697) & 38.46/38.91 (V_50 = 38.46/38.91 X699)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X700, 38.46/38.91 X701:$o, 38.46/38.91 X702]: 38.46/38.91 (in( 38.46/38.91 X702,X700) => 38.46/38.91 (![X703]: 38.46/38.91 (in( 38.46/38.91 X703,X700) => 38.46/38.91 (X701 => 38.46/38.91 (dsetconstr( 38.46/38.91 X700, 38.46/38.91 ^[V_51]: 38.46/38.91 (( 38.46/38.91 X701 & 38.46/38.91 ( 38.46/38.91 V_51 = 38.46/38.91 X702)) | 38.46/38.91 (( 38.46/38.91 ~X701) & 38.46/38.91 (V_51 = 38.46/38.91 X703)))) = 38.46/38.91 setadjoin( 38.46/38.91 X702, 38.46/38.91 emptyset))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X704, 38.46/38.91 X705:$o, 38.46/38.91 X706]: 38.46/38.91 (in( 38.46/38.91 X706,X704) => 38.46/38.91 (![X707]: 38.46/38.91 (in( 38.46/38.91 X707,X704) => 38.46/38.91 singleton( 38.46/38.91 dsetconstr( 38.46/38.91 X704, 38.46/38.91 ^[V_52]: 38.46/38.91 (( 38.46/38.91 X705 & 38.46/38.91 ( 38.46/38.91 V_52 = 38.46/38.91 X706)) | 38.46/38.91 (( 38.46/38.91 ~X705) & 38.46/38.91 (V_52 = 38.46/38.91 X707))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X708, 38.46/38.91 X709:$o, 38.46/38.91 X710]: 38.46/38.91 (in( 38.46/38.91 X710,X708) => 38.46/38.91 (![X711]: 38.46/38.91 (in( 38.46/38.91 X711,X708) => 38.46/38.91 in( 38.46/38.91 if( 38.46/38.91 X708, 38.46/38.91 X709, 38.46/38.91 X710,X711), 38.46/38.91 X708))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X712]: 38.46/38.91 (singleton( 38.46/38.91 X712) => 38.46/38.91 (![X713]: 38.46/38.91 (in( 38.46/38.91 X713,X712) => 38.46/38.91 (setunion( 38.46/38.91 X712) = 38.46/38.91 X713))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X714, 38.46/38.91 X715:$o, 38.46/38.91 X716]: 38.46/38.91 (in( 38.46/38.91 X716,X714) => 38.46/38.91 (![X717]: 38.46/38.91 (in( 38.46/38.91 X717,X714) => 38.46/38.91 (X715 => 38.46/38.91 (if( 38.46/38.91 X714, 38.46/38.91 X715, 38.46/38.91 X716,X717) = 38.46/38.91 X716)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X718, 38.46/38.91 X719:$o, 38.46/38.91 X720]: 38.46/38.91 (in( 38.46/38.91 X720,X718) => 38.46/38.91 (![X721]: 38.46/38.91 (in( 38.46/38.91 X721,X718) => 38.46/38.91 (( 38.46/38.91 ~X719) => 38.46/38.91 (if( 38.46/38.91 X718, 38.46/38.91 X719, 38.46/38.91 X720,X721) = 38.46/38.91 X721)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X722, 38.46/38.91 X723:$o, 38.46/38.91 X724]: 38.46/38.91 (in( 38.46/38.91 X724,X722) => 38.46/38.91 (![X725]: 38.46/38.91 (in( 38.46/38.91 X725,X722) => 38.46/38.91 in( 38.46/38.91 if( 38.46/38.91 X722, 38.46/38.91 X723, 38.46/38.91 X724,X725), 38.46/38.91 setadjoin( 38.46/38.91 X724, 38.46/38.91 setadjoin( 38.46/38.91 X725, 38.46/38.91 emptyset))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X726, 38.46/38.91 X727]: 38.46/38.91 (in( 38.46/38.91 X727, 38.46/38.91 powerset( 38.46/38.91 X726)) => 38.46/38.91 (![X728]: 38.46/38.91 (in( 38.46/38.91 X728, 38.46/38.91 powerset( 38.46/38.91 X726)) => 38.46/38.91 in( 38.46/38.91 binintersect( 38.46/38.91 X727,X728), 38.46/38.91 powerset( 38.46/38.91 X726)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X729, 38.46/38.91 X730]: 38.46/38.91 (in( 38.46/38.91 X730, 38.46/38.91 powerset( 38.46/38.91 X729)) => 38.46/38.91 (![X731]: 38.46/38.91 (in( 38.46/38.91 X731, 38.46/38.91 powerset( 38.46/38.91 X729)) => 38.46/38.91 in( 38.46/38.91 binunion( 38.46/38.91 X730,X731), 38.46/38.91 powerset( 38.46/38.91 X729)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X732, 38.46/38.91 X733]: 38.46/38.91 (in( 38.46/38.91 X733, 38.46/38.91 powerset( 38.46/38.91 X732)) => 38.46/38.91 in( 38.46/38.91 powerset( 38.46/38.91 X733), 38.46/38.91 powerset( 38.46/38.91 powerset( 38.46/38.91 X732))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X734, 38.46/38.91 X735]: 38.46/38.91 (in( 38.46/38.91 X735, 38.46/38.91 powerset( 38.46/38.91 X734)) => 38.46/38.91 (![X736]: 38.46/38.91 (in( 38.46/38.91 X736, 38.46/38.91 powerset( 38.46/38.91 X734)) => 38.46/38.91 in( 38.46/38.91 setminus( 38.46/38.91 X735,X736), 38.46/38.91 powerset( 38.46/38.91 X734)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X737, 38.46/38.91 X738]: 38.46/38.91 (in( 38.46/38.91 X738, 38.46/38.91 powerset( 38.46/38.91 X737)) => 38.46/38.91 in( 38.46/38.91 setminus( 38.46/38.91 X737,X738), 38.46/38.91 powerset( 38.46/38.91 X737)))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X739, 38.46/38.91 X740]: 38.46/38.91 (in( 38.46/38.91 X740, 38.46/38.91 powerset( 38.46/38.91 X739)) => 38.46/38.91 (![X741]: 38.46/38.91 (in( 38.46/38.91 X741, 38.46/38.91 powerset( 38.46/38.91 X739)) => 38.46/38.91 (( 38.46/38.91 ![X742]: 38.46/38.91 (in( 38.46/38.91 X742,X739) => 38.46/38.91 (in( 38.46/38.91 X742,X740) => 38.46/38.91 in( 38.46/38.91 X742,X741)))) => 38.46/38.91 (( 38.46/38.91 ![X743]: 38.46/38.91 (in( 38.46/38.91 X743,X739) => 38.46/38.91 (in( 38.46/38.91 X743,X741) => 38.46/38.91 in( 38.46/38.91 X743,X740)))) => 38.46/38.91 (X740 = 38.46/38.91 X741))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X744, 38.46/38.91 X745]: 38.46/38.91 (in( 38.46/38.91 X745, 38.46/38.91 powerset( 38.46/38.91 X744)) => 38.46/38.91 (![X746]: 38.46/38.91 (in( 38.46/38.91 X746, 38.46/38.91 powerset( 38.46/38.91 X744)) => 38.46/38.91 (( 38.46/38.91 ![X747]: 38.46/38.91 (in( 38.46/38.91 X747,X744) => 38.46/38.91 (in( 38.46/38.91 X747,X745) => 38.46/38.91 in( 38.46/38.91 X747,X746)))) => 38.46/38.91 subset( 38.46/38.91 X745,X746)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X748, 38.46/38.91 X749]: 38.46/38.91 (in( 38.46/38.91 X749, 38.46/38.91 powerset( 38.46/38.91 X748)) => 38.46/38.91 (![X750]: 38.46/38.91 (in( 38.46/38.91 X750, 38.46/38.91 powerset( 38.46/38.91 X748)) => 38.46/38.91 (( 38.46/38.91 ![X751]: 38.46/38.91 (in( 38.46/38.91 X751,X748) => 38.46/38.91 (in( 38.46/38.91 X751,X749) => 38.46/38.91 in( 38.46/38.91 X751,X750)))) => 38.46/38.91 in( 38.46/38.91 X749, 38.46/38.91 powerset( 38.46/38.91 X750))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X752, 38.46/38.91 X753]: 38.46/38.91 (in( 38.46/38.91 X753, 38.46/38.91 powerset( 38.46/38.91 X752)) => 38.46/38.91 (![X754]: 38.46/38.91 (in( 38.46/38.91 X754, 38.46/38.91 powerset( 38.46/38.91 X752)) => 38.46/38.91 (![X755]: 38.46/38.91 (in( 38.46/38.91 X755,X752) => 38.46/38.91 (in( 38.46/38.91 X753, 38.46/38.91 powerset( 38.46/38.91 X754)) => 38.46/38.91 (in( 38.46/38.91 X755,X753) => 38.46/38.91 in( 38.46/38.91 X755,X754))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X756, 38.46/38.91 X757]: 38.46/38.91 (in( 38.46/38.91 X757, 38.46/38.91 powerset( 38.46/38.91 X756)) => 38.46/38.91 (![X758]: 38.46/38.91 (in( 38.46/38.91 X758,X756) => 38.46/38.91 (in( 38.46/38.91 X758,X757) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X758, 38.46/38.91 setminus( 38.46/38.91 X756,X757)))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X759, 38.46/38.91 X760]: 38.46/38.91 (in( 38.46/38.91 X760, 38.46/38.91 powerset( 38.46/38.91 X759)) => 38.46/38.91 (![X761]: 38.46/38.91 (in( 38.46/38.91 X761,X759) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X761, 38.46/38.91 setminus( 38.46/38.91 X759,X760))) => 38.46/38.91 in( 38.46/38.91 X761,X760)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X762, 38.46/38.91 X763]: 38.46/38.91 (in( 38.46/38.91 X763, 38.46/38.91 powerset( 38.46/38.91 X762)) => 38.46/38.91 (![X764]: 38.46/38.91 (in( 38.46/38.91 X764, 38.46/38.91 powerset( 38.46/38.91 X762)) => 38.46/38.91 (![X765]: 38.46/38.91 (in( 38.46/38.91 X765,X762) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X765,X763)) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X765, 38.46/38.91 binintersect( 38.46/38.91 X763,X764)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X766, 38.46/38.91 X767]: 38.46/38.91 (in( 38.46/38.91 X767, 38.46/38.91 powerset( 38.46/38.91 X766)) => 38.46/38.91 (![X768]: 38.46/38.91 (in( 38.46/38.91 X768, 38.46/38.91 powerset( 38.46/38.91 X766)) => 38.46/38.91 (![X769]: 38.46/38.91 (in( 38.46/38.91 X769,X766) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X769,X768)) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X769, 38.46/38.91 binintersect( 38.46/38.91 X767,X768)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X770, 38.46/38.91 X771]: 38.46/38.91 (in( 38.46/38.91 X771, 38.46/38.91 powerset( 38.46/38.91 X770)) => 38.46/38.91 (![X772]: 38.46/38.91 (in( 38.46/38.91 X772, 38.46/38.91 powerset( 38.46/38.91 X770)) => 38.46/38.91 (![X773]: 38.46/38.91 (in( 38.46/38.91 X773,X770) => 38.46/38.91 (subset( 38.46/38.91 X771, 38.46/38.91 setminus( 38.46/38.91 X770,X772)) => 38.46/38.91 (in( 38.46/38.91 X773,X772) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X773,X771)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X774, 38.46/38.91 X775]: 38.46/38.91 (in( 38.46/38.91 X775, 38.46/38.91 powerset( 38.46/38.91 X774)) => 38.46/38.91 (![X776]: 38.46/38.91 (in( 38.46/38.91 X776, 38.46/38.91 powerset( 38.46/38.91 X774)) => 38.46/38.91 (![X777]: 38.46/38.91 (in( 38.46/38.91 X777,X774) => 38.46/38.91 (subset( 38.46/38.91 X775,X776) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X777,X776)) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X777,X775)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X778, 38.46/38.91 X779]: 38.46/38.91 (in( 38.46/38.91 X779, 38.46/38.91 powerset( 38.46/38.91 X778)) => 38.46/38.91 (![X780]: 38.46/38.91 (in( 38.46/38.91 X780, 38.46/38.91 powerset( 38.46/38.91 X778)) => 38.46/38.91 (subset( 38.46/38.91 X779,X780) => 38.46/38.91 subset( 38.46/38.91 setminus( 38.46/38.91 X778,X780), 38.46/38.91 setminus( 38.46/38.91 X778,X779))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X781, 38.46/38.91 X782]: 38.46/38.91 (in( 38.46/38.91 X782, 38.46/38.91 powerset( 38.46/38.91 X781)) => 38.46/38.91 (![X783]: 38.46/38.91 (in( 38.46/38.91 X783, 38.46/38.91 powerset( 38.46/38.91 X781)) => 38.46/38.91 (subset( 38.46/38.91 setminus( 38.46/38.91 X781,X783), 38.46/38.91 setminus( 38.46/38.91 X781,X782)) => 38.46/38.91 subset( 38.46/38.91 X782,X783)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X784, 38.46/38.91 X785]: 38.46/38.91 (in( 38.46/38.91 X785, 38.46/38.91 powerset( 38.46/38.91 X784)) => 38.46/38.91 (![X786]: 38.46/38.91 (in( 38.46/38.91 X786,X784) => 38.46/38.91 (in( 38.46/38.91 X786,X785) => 38.46/38.91 in( 38.46/38.91 X786, 38.46/38.91 setminus( 38.46/38.91 X784, 38.46/38.91 setminus( 38.46/38.91 X784,X785)))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X787, 38.46/38.91 X788]: 38.46/38.91 (in( 38.46/38.91 X788, 38.46/38.91 powerset( 38.46/38.91 X787)) => 38.46/38.91 (![X789]: 38.46/38.91 (in( 38.46/38.91 X789,X787) => 38.46/38.91 (in( 38.46/38.91 X789, 38.46/38.91 setminus( 38.46/38.91 X787, 38.46/38.91 setminus( 38.46/38.91 X787,X788))) => 38.46/38.91 in( 38.46/38.91 X789,X788)))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X790, 38.46/38.91 X791]: 38.46/38.91 (in( 38.46/38.91 X791, 38.46/38.91 powerset( 38.46/38.91 X790)) => 38.46/38.91 subset( 38.46/38.91 X791, 38.46/38.91 setminus( 38.46/38.91 X790, 38.46/38.91 setminus( 38.46/38.91 X790,X791))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X792, 38.46/38.91 X793]: 38.46/38.91 (in( 38.46/38.91 X793, 38.46/38.91 powerset( 38.46/38.91 X792)) => 38.46/38.91 subset( 38.46/38.91 setminus( 38.46/38.91 X792, 38.46/38.91 setminus( 38.46/38.91 X792,X793)), 38.46/38.91 X793))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X794, 38.46/38.91 X795]: 38.46/38.91 (in( 38.46/38.91 X795, 38.46/38.91 powerset( 38.46/38.91 X794)) => 38.46/38.91 (X795 = 38.46/38.91 setminus( 38.46/38.91 X794, 38.46/38.91 setminus( 38.46/38.91 X794,X795))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X796, 38.46/38.91 X797]: 38.46/38.91 (in( 38.46/38.91 X797, 38.46/38.91 powerset( 38.46/38.91 X796)) => 38.46/38.91 (![X798]: 38.46/38.91 (in( 38.46/38.91 X798, 38.46/38.91 powerset( 38.46/38.91 X796)) => 38.46/38.91 (![X799]: 38.46/38.91 (in( 38.46/38.91 X799,X796) => 38.46/38.91 (in( 38.46/38.91 X799, 38.46/38.91 setminus( 38.46/38.91 X796,X797)) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X799, 38.46/38.91 binintersect( 38.46/38.91 X797,X798)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X800, 38.46/38.91 X801]: 38.46/38.91 (in( 38.46/38.91 X801, 38.46/38.91 powerset( 38.46/38.91 X800)) => 38.46/38.91 (![X802]: 38.46/38.91 (in( 38.46/38.91 X802, 38.46/38.91 powerset( 38.46/38.91 X800)) => 38.46/38.91 (![X803]: 38.46/38.91 (in( 38.46/38.91 X803,X800) => 38.46/38.91 (in( 38.46/38.91 X803, 38.46/38.91 setminus( 38.46/38.91 X800,X801)) => 38.46/38.91 in( 38.46/38.91 X803, 38.46/38.91 setminus( 38.46/38.91 X800, 38.46/38.91 binintersect( 38.46/38.91 X801,X802)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X804, 38.46/38.91 X805]: 38.46/38.91 (in( 38.46/38.91 X805, 38.46/38.91 powerset( 38.46/38.91 X804)) => 38.46/38.91 (![X806]: 38.46/38.91 (in( 38.46/38.91 X806, 38.46/38.91 powerset( 38.46/38.91 X804)) => 38.46/38.91 subset( 38.46/38.91 setminus( 38.46/38.91 X804,X805), 38.46/38.91 setminus( 38.46/38.91 X804, 38.46/38.91 binintersect( 38.46/38.91 X805,X806))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X807, 38.46/38.91 X808]: 38.46/38.91 (in( 38.46/38.91 X808, 38.46/38.91 powerset( 38.46/38.91 X807)) => 38.46/38.91 (![X809]: 38.46/38.91 (in( 38.46/38.91 X809, 38.46/38.91 powerset( 38.46/38.91 X807)) => 38.46/38.91 in( 38.46/38.91 setminus( 38.46/38.91 X807,X808), 38.46/38.91 powerset( 38.46/38.91 setminus( 38.46/38.91 X807, 38.46/38.91 binintersect( 38.46/38.91 X808,X809)))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X810, 38.46/38.91 X811]: 38.46/38.91 (in( 38.46/38.91 X811, 38.46/38.91 powerset( 38.46/38.91 X810)) => 38.46/38.91 (![X812]: 38.46/38.91 (in( 38.46/38.91 X812, 38.46/38.91 powerset( 38.46/38.91 X810)) => 38.46/38.91 (subset( 38.46/38.91 X811, 38.46/38.91 setminus( 38.46/38.91 X810,X812)) => 38.46/38.91 (![X813]: 38.46/38.91 (in( 38.46/38.91 X813,X810) => 38.46/38.91 (in( 38.46/38.91 X813,X812) => 38.46/38.91 in( 38.46/38.91 X813, 38.46/38.91 setminus( 38.46/38.91 X810,X811)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X814, 38.46/38.91 X815]: 38.46/38.91 (in( 38.46/38.91 X815, 38.46/38.91 powerset( 38.46/38.91 X814)) => 38.46/38.91 (![X816]: 38.46/38.91 (in( 38.46/38.91 X816, 38.46/38.91 powerset( 38.46/38.91 X814)) => 38.46/38.91 (subset( 38.46/38.91 X815, 38.46/38.91 setminus( 38.46/38.91 X814,X816)) => 38.46/38.91 subset( 38.46/38.91 X816, 38.46/38.91 setminus( 38.46/38.91 X814,X815))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X817, 38.46/38.91 X818]: 38.46/38.91 (in( 38.46/38.91 X818, 38.46/38.91 powerset( 38.46/38.91 X817)) => 38.46/38.91 (![X819]: 38.46/38.91 (in( 38.46/38.91 X819, 38.46/38.91 powerset( 38.46/38.91 X817)) => 38.46/38.91 (![X820]: 38.46/38.91 (in( 38.46/38.91 X820,X817) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X820, 38.46/38.91 binunion( 38.46/38.91 X818,X819))) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X820,X818))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X821, 38.46/38.91 X822]: 38.46/38.91 (in( 38.46/38.91 X822, 38.46/38.91 powerset( 38.46/38.91 X821)) => 38.46/38.91 (![X823]: 38.46/38.91 (in( 38.46/38.91 X823, 38.46/38.91 powerset( 38.46/38.91 X821)) => 38.46/38.91 (![X824]: 38.46/38.91 (in( 38.46/38.91 X824,X821) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X824, 38.46/38.91 binunion( 38.46/38.91 X822,X823))) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X824,X823))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X825, 38.46/38.91 X826]: 38.46/38.91 (in( 38.46/38.91 X826, 38.46/38.91 powerset( 38.46/38.91 X825)) => 38.46/38.91 (![X827]: 38.46/38.91 (in( 38.46/38.91 X827, 38.46/38.91 powerset( 38.46/38.91 X825)) => 38.46/38.91 (![X828]: 38.46/38.91 (in( 38.46/38.91 X828, 38.46/38.91 powerset( 38.46/38.91 X825)) => 38.46/38.91 (![X829]: 38.46/38.91 (in( 38.46/38.91 X829,X825) => 38.46/38.91 (in( 38.46/38.91 X829, 38.46/38.91 binintersect( 38.46/38.91 X826,X827)) => 38.46/38.91 in( 38.46/38.91 X829, 38.46/38.91 binunion( 38.46/38.91 X826,X828))))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X830, 38.46/38.91 X831]: 38.46/38.91 (in( 38.46/38.91 X831, 38.46/38.91 powerset( 38.46/38.91 X830)) => 38.46/38.91 (![X832]: 38.46/38.91 (in( 38.46/38.91 X832, 38.46/38.91 powerset( 38.46/38.91 X830)) => 38.46/38.91 (![X833]: 38.46/38.91 (in( 38.46/38.91 X833, 38.46/38.91 powerset( 38.46/38.91 X830)) => 38.46/38.91 (![X834]: 38.46/38.91 (in( 38.46/38.91 X834,X830) => 38.46/38.91 (in( 38.46/38.91 X834, 38.46/38.91 binintersect( 38.46/38.91 X831,X832)) => 38.46/38.91 in( 38.46/38.91 X834, 38.46/38.91 binunion( 38.46/38.91 X832,X833))))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X835, 38.46/38.91 X836]: 38.46/38.91 (in( 38.46/38.91 X836, 38.46/38.91 powerset( 38.46/38.91 X835)) => 38.46/38.91 (![X837]: 38.46/38.91 (in( 38.46/38.91 X837, 38.46/38.91 powerset( 38.46/38.91 X835)) => 38.46/38.91 (![X838]: 38.46/38.91 (in( 38.46/38.91 X838, 38.46/38.91 powerset( 38.46/38.91 X835)) => 38.46/38.91 (![X839]: 38.46/38.91 (in( 38.46/38.91 X839,X835) => 38.46/38.91 (in( 38.46/38.91 X839, 38.46/38.91 binintersect( 38.46/38.91 X836,X837)) => 38.46/38.91 in( 38.46/38.91 X839, 38.46/38.91 binintersect( 38.46/38.91 binunion( 38.46/38.91 X836,X838), 38.46/38.91 binunion( 38.46/38.91 X837,X838)))))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X840, 38.46/38.91 X841]: 38.46/38.91 (in( 38.46/38.91 X841, 38.46/38.91 powerset( 38.46/38.91 X840)) => 38.46/38.91 (![X842]: 38.46/38.91 (in( 38.46/38.91 X842, 38.46/38.91 powerset( 38.46/38.91 X840)) => 38.46/38.91 (![X843]: 38.46/38.91 (in( 38.46/38.91 X843, 38.46/38.91 powerset( 38.46/38.91 X840)) => 38.46/38.91 in( 38.46/38.91 binintersect( 38.46/38.91 X841,X842), 38.46/38.91 powerset( 38.46/38.91 binintersect( 38.46/38.91 binunion( 38.46/38.91 X841,X843), 38.46/38.91 binunion( 38.46/38.91 X842,X843)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X844, 38.46/38.91 X845]: 38.46/38.91 (in( 38.46/38.91 X845, 38.46/38.91 powerset( 38.46/38.91 X844)) => 38.46/38.91 (![X846]: 38.46/38.91 (in( 38.46/38.91 X846, 38.46/38.91 powerset( 38.46/38.91 X844)) => 38.46/38.91 (![X847]: 38.46/38.91 (in( 38.46/38.91 X847,X844) => 38.46/38.91 (in( 38.46/38.91 X847, 38.46/38.91 setminus( 38.46/38.91 X844, 38.46/38.91 binunion( 38.46/38.91 X845,X846))) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X847,X845))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X848, 38.46/38.91 X849]: 38.46/38.91 (in( 38.46/38.91 X849, 38.46/38.91 powerset( 38.46/38.91 X848)) => 38.46/38.91 (![X850]: 38.46/38.91 (in( 38.46/38.91 X850, 38.46/38.91 powerset( 38.46/38.91 X848)) => 38.46/38.91 (![X851]: 38.46/38.91 (in( 38.46/38.91 X851,X848) => 38.46/38.91 (in( 38.46/38.91 X851, 38.46/38.91 setminus( 38.46/38.91 X848, 38.46/38.91 binunion( 38.46/38.91 X849,X850))) => 38.46/38.91 in( 38.46/38.91 X851, 38.46/38.91 setminus( 38.46/38.91 X848,X849))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X852, 38.46/38.91 X853]: 38.46/38.91 (in( 38.46/38.91 X853, 38.46/38.91 powerset( 38.46/38.91 X852)) => 38.46/38.91 (![X854]: 38.46/38.91 (in( 38.46/38.91 X854, 38.46/38.91 powerset( 38.46/38.91 X852)) => 38.46/38.91 (![X855:$o, 38.46/38.91 X856]: 38.46/38.91 (in( 38.46/38.91 X856,X852) => 38.46/38.91 (in( 38.46/38.91 X856, 38.46/38.91 binunion( 38.46/38.91 X853,X854)) => 38.46/38.91 (( 38.46/38.91 in( 38.46/38.91 X856,X853) => 38.46/38.91 X855) => 38.46/38.91 (( 38.46/38.91 in( 38.46/38.91 X856,X854) => 38.46/38.91 X855) => 38.46/38.91 X855))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X857, 38.46/38.91 X858]: 38.46/38.91 (in( 38.46/38.91 X858, 38.46/38.91 powerset( 38.46/38.91 X857)) => 38.46/38.91 (![X859]: 38.46/38.91 (in( 38.46/38.91 X859, 38.46/38.91 powerset( 38.46/38.91 X857)) => 38.46/38.91 (![X860]: 38.46/38.91 (in( 38.46/38.91 X860,X857) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X860,X858)) => 38.46/38.91 (( 38.46/38.91 ~ 38.46/38.91 in( 38.46/38.91 X860,X859)) => 38.46/38.91 (~ 38.46/38.91 in( 38.46/38.91 X860, 38.46/38.91 binunion( 38.46/38.91 X858,X859))))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X861, 38.46/38.91 X862]: 38.46/38.91 (in( 38.46/38.91 X862, 38.46/38.91 powerset( 38.46/38.91 X861)) => 38.46/38.91 (![X863]: 38.46/38.91 (in( 38.46/38.91 X863, 38.46/38.91 powerset( 38.46/38.91 X861)) => 38.46/38.91 (![X864]: 38.46/38.91 (in( 38.46/38.91 X864,X861) => 38.46/38.91 (in( 38.46/38.91 X864, 38.46/38.91 setminus( 38.46/38.91 X861, 38.46/38.91 binunion( 38.46/38.91 X862,X863))) => 38.46/38.91 in( 38.46/38.91 X864, 38.46/38.91 setminus( 38.46/38.91 X861,X862))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X865, 38.46/38.91 X866]: 38.46/38.91 (in( 38.46/38.91 X866, 38.46/38.91 powerset( 38.46/38.91 X865)) => 38.46/38.91 (![X867]: 38.46/38.91 (in( 38.46/38.91 X867, 38.46/38.91 powerset( 38.46/38.91 X865)) => 38.46/38.91 in( 38.46/38.91 setminus( 38.46/38.91 X865, 38.46/38.91 binunion( 38.46/38.91 X866,X867)), 38.46/38.91 powerset( 38.46/38.91 setminus( 38.46/38.91 X865,X866))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X868, 38.46/38.91 X869]: 38.46/38.91 (in( 38.46/38.91 X869, 38.46/38.91 powerset( 38.46/38.91 X868)) => 38.46/38.91 (![X870]: 38.46/38.91 (in( 38.46/38.91 X870, 38.46/38.91 powerset( 38.46/38.91 X868)) => 38.46/38.91 (![X871]: 38.46/38.91 (in( 38.46/38.91 X871,X868) => 38.46/38.91 (in( 38.46/38.91 X871, 38.46/38.91 setminus( 38.46/38.91 X868, 38.46/38.91 binunion( 38.46/38.91 X869,X870))) => 38.46/38.91 in( 38.46/38.91 X871, 38.46/38.91 setminus( 38.46/38.91 X868,X870))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X872, 38.46/38.91 X873]: 38.46/38.91 (in( 38.46/38.91 X873, 38.46/38.91 powerset( 38.46/38.91 X872)) => 38.46/38.91 (![X874]: 38.46/38.91 (in( 38.46/38.91 X874, 38.46/38.91 powerset( 38.46/38.91 X872)) => 38.46/38.91 (![X875]: 38.46/38.91 (in( 38.46/38.91 X875,X872) => 38.46/38.91 (in( 38.46/38.91 X875, 38.46/38.91 setminus( 38.46/38.91 X872, 38.46/38.91 binintersect( 38.46/38.91 X873,X874))) => 38.46/38.91 in( 38.46/38.91 X875, 38.46/38.91 binunion( 38.46/38.91 setminus( 38.46/38.91 X872,X873), 38.46/38.91 setminus( 38.46/38.91 X872,X874)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X876, 38.46/38.91 X877]: 38.46/38.91 (in( 38.46/38.91 X877, 38.46/38.91 powerset( 38.46/38.91 X876)) => 38.46/38.91 (![X878]: 38.46/38.91 (in( 38.46/38.91 X878, 38.46/38.91 powerset( 38.46/38.91 X876)) => 38.46/38.91 (![X879]: 38.46/38.91 (in( 38.46/38.91 X879,X876) => 38.46/38.91 (in( 38.46/38.91 X879, 38.46/38.91 binunion( 38.46/38.91 setminus( 38.46/38.91 X876,X877), 38.46/38.91 setminus( 38.46/38.91 X876,X878))) => 38.46/38.91 in( 38.46/38.91 X879, 38.46/38.91 setminus( 38.46/38.91 X876, 38.46/38.91 binintersect( 38.46/38.91 X877,X878)))))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X880, 38.46/38.91 X881]: 38.46/38.91 (in( 38.46/38.91 X881, 38.46/38.91 powerset( 38.46/38.91 X880)) => 38.46/38.91 (![X882]: 38.46/38.91 (in( 38.46/38.91 X882, 38.46/38.91 powerset( 38.46/38.91 X880)) => 38.46/38.91 (setminus( 38.46/38.91 X880, 38.46/38.91 binintersect( 38.46/38.91 X881,X882)) = 38.46/38.91 binunion( 38.46/38.91 setminus( 38.46/38.91 X880,X881), 38.46/38.91 setminus( 38.46/38.91 X880,X882))))))) => 38.46/38.91 ( 38.46/38.91 ( 38.46/38.91 ![X883, 38.46/38.91 X884]: 38.46/38.91 (in( 38.46/38.91 X884, 38.46/38.91 powerset( 38.46/38.91 X883)) => 38.46/38.91 (![X885]: 38.46/38.91 (in( 38.46/38.91 X885, 38.46/38.91 powerset( 38.46/38.91 X883)) => 38.46/38.91 (![X886]: 38.46/38.91 (in( 38.46/38.91 X886,X883) => 38.46/38.91 (in( 38.46/38.91 X886, 38.46/38.91 setminus( 38.46/38.91 X883, 38.46/38.91 binunion( 38.46/38.91 X884,X885))) => 38.46/38.92 in( 38.46/38.92 X886, 38.46/38.92 binintersect( 38.46/38.92 setminus( 38.46/38.92 X883,X884), 38.46/38.92 setminus( 38.46/38.92 X883,X885)))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X887, 38.46/38.92 X888]: 38.46/38.92 (in( 38.46/38.92 X888, 38.46/38.92 powerset( 38.46/38.92 X887)) => 38.46/38.92 (![X889]: 38.46/38.92 (in( 38.46/38.92 X889, 38.46/38.92 powerset( 38.46/38.92 X887)) => 38.46/38.92 (![X890]: 38.46/38.92 (in( 38.46/38.92 X890,X887) => 38.46/38.92 (in( 38.46/38.92 X890, 38.46/38.92 setminus( 38.46/38.92 X887,X888)) => 38.46/38.92 (in( 38.46/38.92 X890, 38.46/38.92 setminus( 38.46/38.92 X887,X889)) => 38.46/38.92 in( 38.46/38.92 X890, 38.46/38.92 setminus( 38.46/38.92 X887, 38.46/38.92 binunion( 38.46/38.92 X888,X889))))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X891, 38.46/38.92 X892]: 38.46/38.92 (in( 38.46/38.92 X892, 38.46/38.92 powerset( 38.46/38.92 X891)) => 38.46/38.92 (![X893]: 38.46/38.92 (in( 38.46/38.92 X893, 38.46/38.92 powerset( 38.46/38.92 X891)) => 38.46/38.92 (![X894]: 38.46/38.92 (in( 38.46/38.92 X894,X891) => 38.46/38.92 (in( 38.46/38.92 X894, 38.46/38.92 binintersect( 38.46/38.92 setminus( 38.46/38.92 X891,X892), 38.46/38.92 setminus( 38.46/38.92 X891,X893))) => 38.46/38.92 in( 38.46/38.92 X894, 38.46/38.92 setminus( 38.46/38.92 X891, 38.46/38.92 binunion( 38.46/38.92 X892,X893)))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X895, 38.46/38.92 X896]: 38.46/38.92 (in( 38.46/38.92 X896, 38.46/38.92 powerset( 38.46/38.92 X895)) => 38.46/38.92 (![X897]: 38.46/38.92 (in( 38.46/38.92 X897, 38.46/38.92 powerset( 38.46/38.92 X895)) => 38.46/38.92 (setminus( 38.46/38.92 X895, 38.46/38.92 binunion( 38.46/38.92 X896,X897)) = 38.46/38.92 binintersect( 38.46/38.92 setminus( 38.46/38.92 X895,X896), 38.46/38.92 setminus( 38.46/38.92 X895,X897))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X898, 38.46/38.92 X899]: 38.46/38.92 (in( 38.46/38.92 X899, 38.46/38.92 powerset( 38.46/38.92 X898)) => 38.46/38.92 (![X900]: 38.46/38.92 (in( 38.46/38.92 X900, 38.46/38.92 powerset( 38.46/38.92 X898)) => 38.46/38.92 (![X901]: 38.46/38.92 (in( 38.46/38.92 X901, 38.46/38.92 binintersect( 38.46/38.92 X899,X900)) => 38.46/38.92 in( 38.46/38.92 X901,X898))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X902, 38.46/38.92 X903]: 38.46/38.92 (in( 38.46/38.92 X903, 38.46/38.92 powerset( 38.46/38.92 X902)) => 38.46/38.92 (![X904]: 38.46/38.92 (in( 38.46/38.92 X904, 38.46/38.92 powerset( 38.46/38.92 X902)) => 38.46/38.92 (![X905]: 38.46/38.92 (in( 38.46/38.92 X905, 38.46/38.92 powerset( 38.46/38.92 X902)) => 38.46/38.92 (subset( 38.46/38.92 X903,X905) => 38.46/38.92 subset( 38.46/38.92 binintersect( 38.46/38.92 X903,X904), 38.46/38.92 X905)))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X906, 38.46/38.92 X907]: 38.46/38.92 (in( 38.46/38.92 X907, 38.46/38.92 powerset( 38.46/38.92 X906)) => 38.46/38.92 (![X908]: 38.46/38.92 (in( 38.46/38.92 X908, 38.46/38.92 powerset( 38.46/38.92 X906)) => 38.46/38.92 (![X909]: 38.46/38.92 (in( 38.46/38.92 X909, 38.46/38.92 powerset( 38.46/38.92 X906)) => 38.46/38.92 (subset( 38.46/38.92 X908,X909) => 38.46/38.92 subset( 38.46/38.92 binintersect( 38.46/38.92 X907,X908), 38.46/38.92 X909)))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X910, 38.46/38.92 X911]: 38.46/38.92 (in( 38.46/38.92 X911, 38.46/38.92 powerset( 38.46/38.92 X910)) => 38.46/38.92 (![X912]: 38.46/38.92 (in( 38.46/38.92 X912, 38.46/38.92 powerset( 38.46/38.92 X910)) => 38.46/38.92 (![X913]: 38.46/38.92 (in( 38.46/38.92 X913, 38.46/38.92 powerset( 38.46/38.92 X910)) => 38.46/38.92 (subset( 38.46/38.92 X911,X912) => 38.46/38.92 (subset( 38.46/38.92 X911,X913) => 38.46/38.92 subset( 38.46/38.92 X911, 38.46/38.92 binintersect( 38.46/38.92 X912,X913)))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X914, 38.46/38.92 X915]: 38.46/38.92 (in( 38.46/38.92 X915, 38.46/38.92 powerset( 38.46/38.92 X914)) => 38.46/38.92 (![X916]: 38.46/38.92 (in( 38.46/38.92 X916, 38.46/38.92 powerset( 38.46/38.92 X914)) => 38.46/38.92 (![X917]: 38.46/38.92 (in( 38.46/38.92 X917, 38.46/38.92 powerset( 38.46/38.92 X914)) => 38.46/38.92 (![X918]: 38.46/38.92 (in( 38.46/38.92 X918, 38.46/38.92 powerset( 38.46/38.92 X914)) => 38.46/38.92 (subset( 38.46/38.92 X915,X917) => 38.46/38.92 (subset( 38.46/38.92 X916,X918) => 38.46/38.92 subset( 38.46/38.92 binintersect( 38.46/38.92 X915,X916), 38.46/38.92 binintersect( 38.46/38.92 X917,X918)))))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X919, 38.46/38.92 X920]: 38.46/38.92 (in( 38.46/38.92 X920, 38.46/38.92 powerset( 38.46/38.92 X919)) => 38.46/38.92 (![X921]: 38.46/38.92 (in( 38.46/38.92 X921, 38.46/38.92 powerset( 38.46/38.92 X919)) => 38.46/38.92 in( 38.46/38.92 setminus( 38.46/38.92 X919,X920), 38.46/38.92 powerset( 38.46/38.92 setminus( 38.46/38.92 X919, 38.46/38.92 binintersect( 38.46/38.92 X920,X921)))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X922, 38.46/38.92 X923]: 38.46/38.92 (in( 38.46/38.92 X923, 38.46/38.92 powerset( 38.46/38.92 X922)) => 38.46/38.92 (![X924]: 38.46/38.92 (in( 38.46/38.92 X924, 38.46/38.92 powerset( 38.46/38.92 X922)) => 38.46/38.92 (![X925]: 38.46/38.92 (in( 38.46/38.92 X925, 38.46/38.92 powerset( 38.46/38.92 X922)) => 38.46/38.92 (![X926]: 38.46/38.92 (in( 38.46/38.92 X926, 38.46/38.92 powerset( 38.46/38.92 X922)) => 38.46/38.92 (setminus( 38.46/38.92 X922, 38.46/38.92 binintersect( 38.46/38.92 binunion( 38.46/38.92 X923,X924), 38.46/38.92 binunion( 38.46/38.92 X925,X926))) = 38.46/38.92 binunion( 38.46/38.92 binintersect( 38.46/38.92 setminus( 38.46/38.92 X922,X923), 38.46/38.92 setminus( 38.46/38.92 X922,X924)), 38.46/38.92 binintersect( 38.46/38.92 setminus( 38.46/38.92 X922,X925), 38.46/38.92 setminus( 38.46/38.92 X922,X926)))))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X927, 38.46/38.92 X928]: 38.46/38.92 (in( 38.46/38.92 X928, 38.46/38.92 powerset( 38.46/38.92 X927)) => 38.46/38.92 (![X929]: 38.46/38.92 (in( 38.46/38.92 X929, 38.46/38.92 powerset( 38.46/38.92 X927)) => 38.46/38.92 (![X930]: 38.46/38.92 (in( 38.46/38.92 X930, 38.46/38.92 powerset( 38.46/38.92 X927)) => 38.46/38.92 in( 38.46/38.92 binintersect( 38.46/38.92 X928,X929), 38.46/38.92 powerset( 38.46/38.92 binintersect( 38.46/38.92 binunion( 38.46/38.92 X928,X930), 38.46/38.92 binunion( 38.46/38.92 X929,X930)))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X931, 38.46/38.92 X932]: 38.46/38.92 (in( 38.46/38.92 X932, 38.46/38.92 powerset( 38.46/38.92 X931)) => 38.46/38.92 (![X933]: 38.46/38.92 (in( 38.46/38.92 X933, 38.46/38.92 powerset( 38.46/38.92 X931)) => 38.46/38.92 (subset( 38.46/38.92 X932, 38.46/38.92 setminus( 38.46/38.92 X931,X933)) => 38.46/38.92 subset( 38.46/38.92 X933, 38.46/38.92 setminus( 38.46/38.92 X931,X932))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X934, 38.46/38.92 X935]: 38.46/38.92 (in( 38.46/38.92 X935, 38.46/38.92 powerset( 38.46/38.92 X934)) => 38.46/38.92 (![X936]: 38.46/38.92 (in( 38.46/38.92 X936, 38.46/38.92 powerset( 38.46/38.92 X934)) => 38.46/38.92 in( 38.46/38.92 setminus( 38.46/38.92 X934, 38.46/38.92 binunion( 38.46/38.92 X935,X936)), 38.46/38.92 powerset( 38.46/38.92 setminus( 38.46/38.92 X934,X935))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X937, 38.46/38.92 X938]: 38.46/38.92 (subset( 38.46/38.92 X938, 38.46/38.92 cartprod( 38.46/38.92 X937,X937)) => 38.46/38.92 (![X939:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ![X940]: 38.46/38.92 (in( 38.46/38.92 X940,X937) => 38.46/38.92 (![X941]: 38.46/38.92 (in( 38.46/38.92 X941,X937) => 38.46/38.92 (in( 38.46/38.92 kpair( 38.46/38.92 X940,X941), 38.46/38.92 X938) => 38.46/38.92 X939( 38.46/38.92 kpair( 38.46/38.92 X940,X941))))))) => 38.46/38.92 (![X942]: 38.46/38.92 (in( 38.46/38.92 X942,X938) => 38.46/38.92 X939( 38.46/38.92 X942))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X943, 38.46/38.92 X944]: 38.46/38.92 (in( 38.46/38.92 X944, 38.46/38.92 breln1Set( 38.46/38.92 X943)) => 38.46/38.92 subset( 38.46/38.92 X944, 38.46/38.92 cartprod( 38.46/38.92 X943,X943)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X945, 38.46/38.92 X946, 38.46/38.92 X947:( 38.46/38.92 ($i * $i) > 38.46/38.92 $o)]: 38.46/38.92 (( 38.46/38.92 ![X948]: 38.46/38.92 (in( 38.46/38.92 X948,X945) => 38.46/38.92 (?[X949]: 38.46/38.92 (X947( 38.46/38.92 X948,X949) & 38.46/38.92 in( 38.46/38.92 X949,X946))))) => 38.46/38.92 (![X950]: 38.46/38.92 (in( 38.46/38.92 X950, 38.46/38.92 breln1Set( 38.46/38.92 X946)) => 38.46/38.92 (reflwellordering( 38.46/38.92 X946,X950) => 38.46/38.92 (![X951]: 38.46/38.92 (in( 38.46/38.92 X951,X945) => 38.46/38.92 singleton( 38.46/38.92 dsetconstr( 38.46/38.92 X946, 38.46/38.92 ^[V_53]: 38.46/38.92 (X947( 38.46/38.92 X951,V_53) & 38.46/38.92 (![X952]: 38.46/38.92 (in( 38.46/38.92 X952,X946) => 38.46/38.92 (X947( 38.46/38.92 X951,X952) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 V_53,X952), 38.46/38.92 X950)))))))))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X953, 38.46/38.92 X954:( 38.46/38.92 ($i * $i) > 38.46/38.92 $o)]: 38.46/38.92 subset( 38.46/38.92 dpsetconstr( 38.46/38.92 X953, 38.46/38.92 X953, 38.46/38.92 ^[V_54, 38.46/38.92 V_55]: 38.46/38.92 X954( 38.46/38.92 V_54,V_55)), 38.46/38.92 cartprod( 38.46/38.92 X953,X953))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X955, 38.46/38.92 X956]: 38.46/38.92 (subset( 38.46/38.92 X956, 38.46/38.92 cartprod( 38.46/38.92 X955,X955)) => 38.46/38.92 (![X957:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ![X958]: 38.46/38.92 (in( 38.46/38.92 X958,X955) => 38.46/38.92 (![X959]: 38.46/38.92 (in( 38.46/38.92 X959,X955) => 38.46/38.92 (in( 38.46/38.92 kpair( 38.46/38.92 X958,X959), 38.46/38.92 X956) => 38.46/38.92 X957( 38.46/38.92 kpair( 38.46/38.92 X958,X959))))))) => 38.46/38.92 (![X960]: 38.46/38.92 (in( 38.46/38.92 X960,X956) => 38.46/38.92 X957( 38.46/38.92 X960))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X961, 38.46/38.92 X962]: 38.46/38.92 (subset( 38.46/38.92 X962, 38.46/38.92 cartprod( 38.46/38.92 X961,X961)) => 38.46/38.92 (![X963]: 38.46/38.92 (subset( 38.46/38.92 X963, 38.46/38.92 cartprod( 38.46/38.92 X961,X961)) => 38.46/38.92 (( 38.46/38.92 ![X964]: 38.46/38.92 (in( 38.46/38.92 X964,X961) => 38.46/38.92 (![X965]: 38.46/38.92 (in( 38.46/38.92 X965,X961) => 38.46/38.92 (in( 38.46/38.92 kpair( 38.46/38.92 X964,X965), 38.46/38.92 X962) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 X964,X965), 38.46/38.92 X963)))))) => 38.46/38.92 subset( 38.46/38.92 X962,X963)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X966, 38.46/38.92 X967]: 38.46/38.92 (subset( 38.46/38.92 X967, 38.46/38.92 cartprod( 38.46/38.92 X966,X966)) => 38.46/38.92 (![X968]: 38.46/38.92 (subset( 38.46/38.92 X968, 38.46/38.92 cartprod( 38.46/38.92 X966,X966)) => 38.46/38.92 (( 38.46/38.92 ![X969]: 38.46/38.92 (in( 38.46/38.92 X969,X966) => 38.46/38.92 (![X970]: 38.46/38.92 (in( 38.46/38.92 X970,X966) => 38.46/38.92 (in( 38.46/38.92 kpair( 38.46/38.92 X969,X970), 38.46/38.92 X967) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 X969,X970), 38.46/38.92 X968)))))) => 38.46/38.92 (( 38.46/38.92 ![X971]: 38.46/38.92 (in( 38.46/38.92 X971,X966) => 38.46/38.92 (![X972]: 38.46/38.92 (in( 38.46/38.92 X972,X966) => 38.46/38.92 (in( 38.46/38.92 kpair( 38.46/38.92 X971,X972), 38.46/38.92 X968) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 X971,X972), 38.46/38.92 X967)))))) => 38.46/38.92 (X967 = 38.46/38.92 X968))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X973, 38.46/38.92 X974]: 38.46/38.92 (subset( 38.46/38.92 X974, 38.46/38.92 cartprod( 38.46/38.92 X973,X973)) => 38.46/38.92 subset( 38.46/38.92 dpsetconstr( 38.46/38.92 X973, 38.46/38.92 X973, 38.46/38.92 ^[V_56, 38.46/38.92 V_57]: 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 V_57,V_56), 38.46/38.92 X974)), 38.46/38.92 cartprod( 38.46/38.92 X973,X973)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X975, 38.46/38.92 X976]: 38.46/38.92 (subset( 38.46/38.92 X976, 38.46/38.92 cartprod( 38.46/38.92 X975,X975)) => 38.46/38.92 (![X977]: 38.46/38.92 (in( 38.46/38.92 X977,X975) => 38.46/38.92 (![X978]: 38.46/38.92 (in( 38.46/38.92 X978,X975) => 38.46/38.92 (in( 38.46/38.92 kpair( 38.46/38.92 X977,X978), 38.46/38.92 X976) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 X978,X977), 38.46/38.92 dpsetconstr( 38.46/38.92 X975, 38.46/38.92 X975, 38.46/38.92 ^[V_58, 38.46/38.92 V_59]: 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 V_59,V_58), 38.46/38.92 X976)))))))))) => 38.46/38.92 ( 38.46/38.92 ![X979, 38.46/38.92 X980]: 38.46/38.92 (subset( 38.46/38.92 X980, 38.46/38.92 cartprod( 38.46/38.92 X979,X979)) => 38.46/38.92 (![X981]: 38.46/38.92 (in( 38.46/38.92 X981,X979) => 38.46/38.92 (![X982]: 38.46/38.92 (in( 38.46/38.92 X982,X979) => 38.46/38.92 (in( 38.46/38.92 kpair( 38.46/38.92 X982,X981), 38.46/38.92 dpsetconstr( 38.46/38.92 X979, 38.46/38.92 X979, 38.46/38.92 ^[V_60, 38.46/38.92 V_61]: 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 V_61,V_60), 38.46/38.92 X980))) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 X981,X982), 38.46/38.92 X980)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 38.46/38.92 tff(zf_stmt_14, negated_conjecture, 38.46/38.92 (~ 38.46/38.92 ((![X2,X3]: ((![X4]: (in(X4,X2) <=> in(X4,X3))) => (X2 = X3))) => 38.46/38.92 ((![X5]: (~in(X5,emptyset))) => 38.46/38.92 ((![X6,X7,X8]: (in(X8,setadjoin(X6,X7)) <=> zip_tseitin0(X8,X7,X6))) => 38.46/38.92 ((![X9,X10]: 38.46/38.92 (in(X10,powerset(X9)) <=> (![X11]: zip_tseitin1(X11,X10,X9)))) => 38.46/38.92 ((![X12,X13]: 38.46/38.92 (in(X13,setunion(X12)) <=> (?[X14]: zip_tseitin2(X14,X13,X12)))) => 38.46/38.92 (in(emptyset,omega) => 38.46/38.92 ((![X15]: (in(X15,omega) => in(setadjoin(X15,X15),omega))) => 38.46/38.92 ((![X16]: 38.46/38.92 (((![X17]: 38.46/38.92 ((in(X17,X16) & in(X17,omega)) => 38.46/38.92 in(setadjoin(X17,X17),X16))) & 38.46/38.92 in(emptyset,X16)) => 38.46/38.92 (![X18]: (in(X18,omega) => in(X18,X16))))) => 38.46/38.92 ((![X19:(($i * $i) > $o),X20]: 38.46/38.92 ((![X21]: 38.46/38.92 (in(X21,X20) => 38.46/38.92 (?[X22]: 38.46/38.92 ((![X23]: (X19(X21,X23) => (X22 = X23))) & 38.46/38.92 X19(X21,X22))))) => 38.46/38.92 (?[X24]: 38.46/38.92 (![X25]: 38.46/38.92 (in(X25,X24) <=> 38.46/38.92 (?[X26]: zip_tseitin3(X26,X25,X20,X19))))))) => 38.46/38.92 ((![X27]: 38.46/38.92 ((?[X28]: in(X28,X27)) => 38.46/38.92 (?[X29]: 38.46/38.92 ((~(?[X30]: (in(X30,X27) & in(X30,X29)))) & in(X29,X27))))) => 38.46/38.92 ((![X31]: 38.46/38.92 (?[X32]: 38.46/38.92 ((![X33]: 38.46/38.92 (((?[X34]: in(X34,X33)) & 38.46/38.92 (![X35]: (in(X35,X33) => in(X35,X31)))) => 38.46/38.92 (?[X36,X37]: 38.46/38.92 ((![X38]: 38.46/38.92 (in(X38,X32) => 38.46/38.92 (in(X37,X38) | 38.46/38.92 (![X39]: (in(X39,X38) => in(X39,X36)))))) & 38.46/38.92 (~(?[X40]: (in(X40,X33) & in(X40,X36)))) & 38.46/38.92 in(X37,X33) & in(X36,X32))))) & 38.46/38.92 (![X41,X42]: 38.46/38.92 ((in(X42,X32) & in(X41,X32)) => 38.46/38.92 ((![X43]: (in(X43,X42) => in(X43,X41))) | 38.46/38.92 (![X44]: (in(X44,X41) => in(X44,X42)))))) & 38.46/38.92 (![X45,X46]: 38.46/38.92 ((in(X46,X31) & in(X45,X31)) => 38.46/38.92 ((![X47]: 38.46/38.92 (in(X47,X32) => (in(X45,X47) <=> in(X46,X47)))) => 38.46/38.92 (X45 = X46)))) & 38.46/38.92 (![X48]: 38.46/38.92 (in(X48,X32) => 38.46/38.92 (![X49]: (in(X49,X48) => in(X49,X31)))))))) => 38.46/38.92 ((![X50:($i > $o)]: 38.46/38.92 ((?[X51]: ((![X52]: (X50(X52) => (X51 = X52))) & X50(X51))) => 38.46/38.92 X50(descr(^[V_1]: X50(V_1))))) => 38.46/38.92 ((![X53,X54:($i > $o),X55]: 38.46/38.92 (in(X55,X53) => 38.46/38.92 (X54(X55) => in(X55,dsetconstr(X53,^[V_2]: X54(V_2)))))) => 38.46/38.92 ((![X56,X57:($i > $o),X58]: 38.46/38.92 (in(X58,dsetconstr(X56,^[V_3]: X57(V_3))) => in(X58,X56))) => 38.46/38.92 ((![X59,X60:($i > $o),X61]: 38.46/38.92 (in(X61,dsetconstr(X59,^[V_4]: X60(V_4))) => X60(X61))) => 38.46/38.92 ((![X62:($i > $o)]: 38.46/38.92 ((?[X63]: 38.46/38.92 ((![X64]: (X62(X64) => (X63 = X64))) & X62(X63))) => 38.46/38.92 (?[X65]: 38.46/38.92 ((![X66]: (X62(X66) => (X65 = X66))) & X62(X65))))) => 38.46/38.92 ((![X67:$o,X68]: (in(X68,prop2set(X67)) => X67)) => 38.46/38.92 ((![X69]: (in(X69,emptyset) => (![X70:$o]: X70))) => 38.46/38.92 ((![X71]: (in(X71,emptyset) => $false)) => 38.46/38.92 ((![X72]: (~in(X72,emptyset))) => 38.46/38.92 ((![X73:($i > $o)]: 38.46/38.92 ((?[X74]: 38.46/38.92 ((![X75]: (X73(X75) => (X74 = X75))) & 38.46/38.92 X73(X74))) => 38.46/38.92 (?[X76]: X73(X76)))) => 38.46/38.92 ((![X77,X78]: 38.46/38.92 ((![X79]: (in(X79,X77) => in(X79,X78))) => 38.46/38.92 ((![X80]: (in(X80,X78) => in(X80,X77))) => 38.46/38.92 (X77 = X78)))) => 38.46/38.92 ((![X81]: 38.46/38.92 ((![X82]: (~in(X82,X81))) => (X81 = emptyset))) => 38.46/38.92 ((![X83]: 38.46/38.92 ((![X84]: (~in(X84,X83))) => (X83 = emptyset))) => 38.46/38.92 ((![X85,X86:($i > $o),X87]: 38.46/38.92 (in(X87,X85) => 38.46/38.92 (in(X87,dsetconstr(X85,^[V_5]: X86(V_5))) <=> 38.46/38.92 X86(X87)))) => 38.46/38.92 ((![X88]: 38.46/38.92 ((X88 != emptyset) => (?[X89]: in(X89,X88)))) => 38.46/38.92 ((![X90,X91:($i > $o),X92]: 38.46/38.92 (in(X92,X90) => 38.46/38.92 (X91(X92) => 38.46/38.92 (dsetconstr(X90,^[V_6]: X91(V_6)) != 38.46/38.92 emptyset)))) => 38.46/38.92 ((![X93]: 38.46/38.92 ((?[X94]: in(X94,X93)) => 38.46/38.92 (X93 != emptyset))) => 38.46/38.92 ((![X95,X96]: in(X95,setadjoin(X95,X96))) => 38.46/38.92 (in(emptyset,setadjoin(emptyset,emptyset)) => 38.46/38.92 ((![X97,X98,X99]: 38.46/38.92 (in(X99,X98) => 38.46/38.92 in(X99,setadjoin(X97,X98)))) => 38.46/38.92 ((![X100,X101,X102]: 38.46/38.92 (in(X102,setadjoin(X100,X101)) => 38.46/38.92 (![X103:$o]: 38.46/38.92 (((X102 = X100) => X103) => 38.46/38.92 ((in(X102,X101) => X103) => X103))))) => 38.46/38.92 ((![X104,X105,X106]: 38.46/38.92 (in(X106,setadjoin(X104,X105)) => 38.46/38.92 (in(X106,X105) | (X106 = X104)))) => 38.46/38.92 ((![X107]: 38.46/38.92 (dsetconstr(X107,^[V_7]: $true) = 38.46/38.92 X107)) => 38.46/38.92 ((![X108,X109]: 38.46/38.92 ((![X110]: 38.46/38.92 (in(X110,X109) => in(X110,X108))) => 38.46/38.92 in(X109,powerset(X108)))) => 38.46/38.92 ((![X111]: in(emptyset,powerset(X111))) => 38.46/38.92 ((![X112]: 38.46/38.92 in(emptyset,powerset(X112))) => 38.46/38.92 ((![X113,X114,X115]: 38.46/38.92 (in(X114,powerset(X113)) => 38.46/38.92 (in(X115,X114) => in(X115,X113)))) => 38.46/38.92 ((![X116,X117,X118]: 38.46/38.92 (in(X117,X118) => 38.46/38.92 (in(X118,X116) => 38.46/38.92 in(X117,setunion(X116))))) => 38.46/38.92 ((![X119,X120]: 38.46/38.92 (in(X120,setunion(X119)) => 38.46/38.92 (![X121:$o]: 38.46/38.92 ((![X122]: 38.46/38.92 (in(X120,X122) => 38.46/38.92 (in(X122,X119) => 38.46/38.92 X121))) => 38.46/38.92 X121)))) => 38.46/38.92 ((![X123,X124]: 38.46/38.92 (in(X124,X123) => 38.46/38.92 in(X124, 38.46/38.92 powerset(setunion(X123))))) => 38.46/38.92 ((![X125:($i > $o)]: 38.46/38.92 ((?[X126]: 38.46/38.92 ((![X127]: 38.46/38.92 (X125(X127) => 38.46/38.92 (X126 = X127))) & 38.46/38.92 X125(X126))) => 38.46/38.92 (?[X128]: 38.46/38.92 (![X129]: 38.46/38.92 (X125(X129) <=> 38.46/38.92 (X129 = X128)))))) => 38.46/38.92 ((![X130]: 38.46/38.92 ((X130 != emptyset) => 38.46/38.92 (?[X131]: in(X131,X130)))) => 38.46/38.92 ((![X132,X133]: 38.46/38.92 (in(X132, 38.46/38.92 setadjoin(X133, 38.46/38.92 emptyset)) => 38.46/38.92 (X132 = X133))) => 38.46/38.92 ((![X134,X135]: 38.46/38.92 ((X134 != X135) => 38.46/38.92 (~ 38.46/38.92 in(X135, 38.46/38.92 setadjoin(X134, 38.46/38.92 emptyset))))) => 38.46/38.92 ((![X136,X137]: 38.46/38.92 ((X136 = X137) => 38.46/38.92 in(X136, 38.46/38.92 setadjoin(X137, 38.46/38.92 emptyset)))) => 38.46/38.92 ((![X138,X139]: 38.46/38.92 (in(X138, 38.46/38.92 setadjoin(X139, 38.46/38.92 emptyset)) => 38.46/38.92 in(X139, 38.46/38.92 setadjoin(X138, 38.46/38.92 emptyset)))) => 38.46/38.92 ((![X140,X141,X142]: 38.46/38.92 (in(X142, 38.46/38.92 setadjoin( 38.46/38.92 X140, 38.46/38.92 setadjoin( 38.46/38.92 X141,emptyset))) => 38.46/38.92 ((X142 = X141) | 38.46/38.92 (X142 = X140)))) => 38.46/38.92 ((![X143,X144]: 38.46/38.92 in(X143, 38.46/38.92 setadjoin( 38.46/38.92 X143, 38.46/38.92 setadjoin( 38.46/38.92 X144,emptyset)))) => 38.46/38.92 ((![X145,X146]: 38.46/38.92 in(X146, 38.46/38.92 setadjoin( 38.46/38.92 X145, 38.46/38.92 setadjoin( 38.46/38.92 X146,emptyset)))) => 38.46/38.92 ((![X147,X148:($i > $o)]: 38.46/38.92 ((?[X149]: 38.46/38.92 (X148(X149) & 38.46/38.92 in(X149,X147))) => 38.46/38.92 ((dsetconstr( 38.46/38.92 X147, 38.46/38.92 ^[V_8]: 38.46/38.92 X148(V_8)) = 38.46/38.92 emptyset) => 38.46/38.92 $false))) => 38.46/38.92 ((![X150:($i > $o), 38.46/38.92 X151]: 38.46/38.92 (in(X151,emptyset) => 38.46/38.92 X150(X151))) => 38.46/38.92 ((![X152, 38.46/38.92 X153:($i > $o)]: 38.46/38.92 ((~ 38.46/38.92 (![X154]: 38.46/38.92 (in( 38.46/38.92 X154,X152) => 38.46/38.92 X153(X154)))) => 38.46/38.92 (?[X155]: 38.46/38.92 ((~X153(X155)) & 38.46/38.92 in(X155,X152))))) => 38.46/38.92 ((![X156, 38.46/38.92 X157:($i > $o)]: 38.46/38.92 ((![X158]: 38.46/38.92 (in( 38.46/38.92 X158,X156) => 38.46/38.92 (~ 38.46/38.92 X157( 38.46/38.92 X158)))) => 38.46/38.92 (~ 38.46/38.92 (?[X159]: 38.46/38.92 (X157( 38.46/38.92 X159) & 38.46/38.92 in( 38.46/38.92 X159,X156)))))) => 38.46/38.92 ((![X160, 38.46/38.92 X161:($i > $o)]: 38.46/38.92 ((~ 38.46/38.92 (?[X162]: 38.46/38.92 ( 38.46/38.92 X161( 38.46/38.92 X162) & 38.46/38.92 in( 38.46/38.92 X162,X160)))) => 38.46/38.92 (![X163]: 38.46/38.92 (in( 38.46/38.92 X163,X160) => 38.46/38.92 (~ 38.46/38.92 X161( 38.46/38.92 X163)))))) => 38.46/38.92 ((![X164, 38.46/38.92 X165:( 38.46/38.92 $i > $o)]: 38.46/38.92 ((?[X166]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 X165( 38.46/38.92 X166)) & 38.46/38.92 in( 38.46/38.92 X166,X164))) => 38.46/38.92 (~ 38.46/38.92 (![X167]: 38.46/38.92 (in( 38.46/38.92 X167,X164) => 38.46/38.92 X165( 38.46/38.92 X167)))))) => 38.46/38.92 ((![X168:$o]: 38.46/38.92 (X168 => 38.46/38.92 in(emptyset, 38.46/38.92 prop2set( 38.46/38.92 X168)))) => 38.46/38.92 ((![X169:$o]: 38.46/38.92 (X169 => 38.46/38.92 set2prop( 38.46/38.92 prop2set( 38.46/38.92 X169)))) => 38.46/38.92 ((![X170, 38.46/38.92 X171:( 38.46/38.92 $i > $o)]: 38.46/38.92 ((~ 38.46/38.92 ( 38.46/38.92 ?[X172]: 38.46/38.92 (X171( 38.46/38.92 X172) & 38.46/38.92 in( 38.46/38.92 X172,X170)))) => 38.46/38.92 (![X173]: 38.46/38.92 (in( 38.46/38.92 X173,X170) => 38.46/38.92 (~ 38.46/38.92 X171( 38.46/38.92 X173)))))) => 38.46/38.92 ((![X174, 38.46/38.92 X175:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 ( 38.46/38.92 ![X176]: 38.46/38.92 (in( 38.46/38.92 X176,X174) => 38.46/38.92 X175( 38.46/38.92 X176)))) => 38.46/38.92 ( 38.46/38.92 ?[X177]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 X175( 38.46/38.92 X177)) & 38.46/38.92 in( 38.46/38.92 X177,X174))))) => 38.46/38.92 ((![X178:( 38.46/38.92 $i > $o)]: 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ?[X179]: 38.46/38.92 (( 38.46/38.92 ![X180]: 38.46/38.92 (X178( 38.46/38.92 X180) => 38.46/38.92 (X179 = 38.46/38.92 X180))) & 38.46/38.92 X178( 38.46/38.92 X179))) => 38.46/38.92 ( 38.46/38.92 ?[X181]: 38.46/38.92 (( 38.46/38.92 ![X182]: 38.46/38.92 (X178( 38.46/38.92 X182) => 38.46/38.92 (X181 = 38.46/38.92 X182))) & 38.46/38.92 X178( 38.46/38.92 X181))))) => 38.46/38.92 ((![X183:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ?[X184]: 38.46/38.92 X183( 38.46/38.92 X184)) => 38.46/38.92 (( 38.46/38.92 ![X185, 38.46/38.92 X186]: 38.46/38.92 (X183( 38.46/38.92 X185) => 38.46/38.92 (X183( 38.46/38.92 X186) => 38.46/38.92 (X185 = 38.46/38.92 X186)))) => 38.46/38.92 (?[X187]: 38.46/38.92 (( 38.46/38.92 ![X188]: 38.46/38.92 (X183( 38.46/38.92 X188) => 38.46/38.92 (X187 = 38.46/38.92 X188))) & 38.46/38.92 X183( 38.46/38.92 X187)))))) => 38.46/38.92 ((![X189:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ?[X190]: 38.46/38.92 (![X191]: 38.46/38.92 (X189( 38.46/38.92 X191) <=> 38.46/38.92 (X191 = 38.46/38.92 X190)))) => 38.46/38.92 (?[X192]: 38.46/38.92 (( 38.46/38.92 ![X193]: 38.46/38.92 (X189( 38.46/38.92 X193) => 38.46/38.92 (X192 = 38.46/38.92 X193))) & 38.46/38.92 X189( 38.46/38.92 X192))))) => 38.46/38.92 (( 38.46/38.92 ![X194, 38.46/38.92 X195]: 38.46/38.92 (( 38.46/38.92 X194 = 38.46/38.92 X195) => 38.46/38.92 (![X196, 38.46/38.92 X197]: 38.46/38.92 (( 38.46/38.92 X196 = 38.46/38.92 X197) => 38.46/38.92 (in( 38.46/38.92 X196,X194) => 38.46/38.92 in( 38.46/38.92 X197,X195)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X198, 38.46/38.92 X199]: 38.46/38.92 (( 38.46/38.92 X198 = 38.46/38.92 X199) => 38.46/38.92 (![X200, 38.46/38.92 X201]: 38.46/38.92 (( 38.46/38.92 X200 = 38.46/38.92 X201) => 38.46/38.92 (in( 38.46/38.92 X200,X198) <=> 38.46/38.92 in( 38.46/38.92 X201,X199)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X202:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ?[X203]: 38.46/38.92 (( 38.46/38.92 ![X204]: 38.46/38.92 (X202( 38.46/38.92 X204) => 38.46/38.92 (X203 = 38.46/38.92 X204))) & 38.46/38.92 X202( 38.46/38.92 X203))) => 38.46/38.92 (![X205, 38.46/38.92 X206]: 38.46/38.92 (X202( 38.46/38.92 X205) => 38.46/38.92 (X202( 38.46/38.92 X206) => 38.46/38.92 (X205 = 38.46/38.92 X206)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X207:( 38.46/38.92 $i > $o), 38.46/38.92 X208:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ![X209, 38.46/38.92 X210]: 38.46/38.92 (( 38.46/38.92 X209 = 38.46/38.92 X210) => 38.46/38.92 (X207( 38.46/38.92 X209) <=> 38.46/38.92 X208( 38.46/38.92 X210)))) => 38.46/38.92 (( 38.46/38.92 ?[X211]: 38.46/38.92 zip_tseitin5( 38.46/38.92 X211,X207)) <=> 38.46/38.92 (?[X213]: 38.46/38.92 zip_tseitin5( 38.46/38.92 X213,X208))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 emptyset = 38.46/38.92 emptyset) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X215, 38.46/38.92 X216]: 38.46/38.92 (( 38.46/38.92 X215 = 38.46/38.92 X216) => 38.46/38.92 (![X217, 38.46/38.92 X218]: 38.46/38.92 (( 38.46/38.92 X217 = 38.46/38.92 X218) => 38.46/38.92 (setadjoin( 38.46/38.92 X215,X217) = 38.46/38.92 setadjoin( 38.46/38.92 X216,X218)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X219, 38.46/38.92 X220]: 38.46/38.92 (( 38.46/38.92 X219 = 38.46/38.92 X220) => 38.46/38.92 (powerset( 38.46/38.92 X219) = 38.46/38.92 powerset( 38.46/38.92 X220)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X221, 38.46/38.92 X222]: 38.46/38.92 (( 38.46/38.92 X221 = 38.46/38.92 X222) => 38.46/38.92 (setunion( 38.46/38.92 X221) = 38.46/38.92 setunion( 38.46/38.92 X222)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 omega = 38.46/38.92 omega) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X223:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ?[X224]: 38.46/38.92 (( 38.46/38.92 ![X225]: 38.46/38.92 (X223( 38.46/38.92 X225) => 38.46/38.92 (X224 = 38.46/38.92 X225))) & 38.46/38.92 X223( 38.46/38.92 X224))) => 38.46/38.92 (![X226, 38.46/38.92 X227]: 38.46/38.92 (X223( 38.46/38.92 X226) => 38.46/38.92 (X223( 38.46/38.92 X227) => 38.46/38.92 (X226 = 38.46/38.92 X227)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X228:( 38.46/38.92 $i > $o), 38.46/38.92 X229:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ![X230, 38.46/38.92 X231]: 38.46/38.92 (( 38.46/38.92 X230 = 38.46/38.92 X231) => 38.46/38.92 (X228( 38.46/38.92 X230) <=> 38.46/38.92 X229( 38.46/38.92 X231)))) => 38.46/38.92 (( 38.46/38.92 ?[X232]: 38.46/38.92 (( 38.46/38.92 ![X233]: 38.46/38.92 (X228( 38.46/38.92 X233) => 38.46/38.92 (X232 = 38.46/38.92 X233))) & 38.46/38.92 X228( 38.46/38.92 X232))) => 38.46/38.92 (( 38.46/38.92 ?[X234]: 38.46/38.92 (( 38.46/38.92 ![X235]: 38.46/38.92 (X229( 38.46/38.92 X235) => 38.46/38.92 (X234 = 38.46/38.92 X235))) & 38.46/38.92 X229( 38.46/38.92 X234))) => 38.46/38.92 (descr( 38.46/38.92 ^[V_9]: 38.46/38.92 X228(V_9)) = 38.46/38.92 descr( 38.46/38.92 ^[V_10]: 38.46/38.92 X229( 38.46/38.92 V_10))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X236, 38.46/38.92 X237]: 38.46/38.92 (( 38.46/38.92 X236 = 38.46/38.92 X237) => 38.46/38.92 (![X238:( 38.46/38.92 $i > $o), 38.46/38.92 X239:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ![X240]: 38.46/38.92 (in( 38.46/38.92 X240,X236) => 38.46/38.92 (![X241]: 38.46/38.92 (in( 38.46/38.92 X241,X237) => 38.46/38.92 (( 38.46/38.92 X240 = 38.46/38.92 X241) => 38.46/38.92 (X238( 38.46/38.92 X240) <=> 38.46/38.92 X239( 38.46/38.92 X241))))))) => 38.46/38.92 (dsetconstr( 38.46/38.92 X236, 38.46/38.92 ^[V_11]: 38.46/38.92 X238( 38.46/38.92 V_11)) = 38.46/38.92 dsetconstr( 38.46/38.92 X237, 38.46/38.92 ^[V_12]: 38.46/38.92 X239( 38.46/38.92 V_12))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X242, 38.46/38.92 X243]: 38.46/38.92 (( 38.46/38.92 ![X244]: 38.46/38.92 (in( 38.46/38.92 X244,X242) => 38.46/38.92 in( 38.46/38.92 X244,X243))) => 38.46/38.92 subset( 38.46/38.92 X242,X243))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X245, 38.46/38.92 X246]: 38.46/38.92 (( 38.46/38.92 X245 = 38.46/38.92 X246) => 38.46/38.92 subset( 38.46/38.92 X246,X245))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X247, 38.46/38.92 X248]: 38.46/38.92 (( 38.46/38.92 X247 = 38.46/38.92 X248) => 38.46/38.92 subset( 38.46/38.92 X247,X248))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X249, 38.46/38.92 X250]: 38.46/38.92 (( 38.46/38.92 ![X251]: 38.46/38.92 (in( 38.46/38.92 X251,X249) => 38.46/38.92 in( 38.46/38.92 X251,X250))) => 38.46/38.92 subset( 38.46/38.92 X249,X250))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X252]: 38.46/38.92 subset( 38.46/38.92 emptyset, 38.46/38.92 X252)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X253, 38.46/38.92 X254,X255]: 38.46/38.92 (subset( 38.46/38.92 X253,X254) => 38.46/38.92 (in( 38.46/38.92 X255,X253) => 38.46/38.92 in( 38.46/38.92 X255,X254)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X256, 38.46/38.92 X257,X258]: 38.46/38.92 (subset( 38.46/38.92 X256,X257) => 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X258,X257)) => 38.46/38.92 (~ 38.46/38.92 in( 38.46/38.92 X258,X256))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X259, 38.46/38.92 X260,X261]: 38.46/38.92 (in( 38.46/38.92 X261,X259) => 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X261,X260)) => 38.46/38.92 (~ 38.46/38.92 subset( 38.46/38.92 X259,X260))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X262, 38.46/38.92 X263]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 subset( 38.46/38.92 X262,X263)) => 38.46/38.92 (X262 != 38.46/38.92 X263))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X264, 38.46/38.92 X265,X266]: 38.46/38.92 (in( 38.46/38.92 X266,X264) => 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X266,X265)) => 38.46/38.92 (X264 != 38.46/38.92 X265)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X267]: 38.46/38.92 subset( 38.46/38.92 X267,X267)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X268, 38.46/38.92 X269,X270]: 38.46/38.92 (subset( 38.46/38.92 X268,X269) => 38.46/38.92 (subset( 38.46/38.92 X269,X270) => 38.46/38.92 subset( 38.46/38.92 X268,X270)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X271, 38.46/38.92 X272]: 38.46/38.92 subset( 38.46/38.92 X272, 38.46/38.92 setadjoin( 38.46/38.92 X271,X272))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X273, 38.46/38.92 X274,X275]: 38.46/38.92 (subset( 38.46/38.92 X273,X275) => 38.46/38.92 subset( 38.46/38.92 X273, 38.46/38.92 setadjoin( 38.46/38.92 X274,X275)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X276, 38.46/38.92 X277]: 38.46/38.92 (subset( 38.46/38.92 X276,X277) => 38.46/38.92 in( 38.46/38.92 X276, 38.46/38.92 powerset( 38.46/38.92 X277)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X278, 38.46/38.92 X279]: 38.46/38.92 (subset( 38.46/38.92 X278,X279) => 38.46/38.92 (subset( 38.46/38.92 X279,X278) => 38.46/38.92 (X278 = 38.46/38.92 X279)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X280]: 38.46/38.92 (subset( 38.46/38.92 X280, 38.46/38.92 emptyset) => 38.46/38.92 (X280 = 38.46/38.92 emptyset))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X281, 38.46/38.92 X282]: 38.46/38.92 (subset( 38.46/38.92 X282,X281) => 38.46/38.92 in( 38.46/38.92 X282, 38.46/38.92 powerset( 38.46/38.92 X281)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X283, 38.46/38.92 X284]: 38.46/38.92 (in( 38.46/38.92 X284, 38.46/38.92 powerset( 38.46/38.92 X283)) => 38.46/38.92 subset( 38.46/38.92 X284,X283))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X285]: 38.46/38.92 in( 38.46/38.92 X285, 38.46/38.92 powerset( 38.46/38.92 X285))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X286, 38.46/38.92 X287]: 38.46/38.92 (subset( 38.46/38.92 X286,X287) => 38.46/38.92 subset( 38.46/38.92 powerset( 38.46/38.92 X286), 38.46/38.92 powerset( 38.46/38.92 X287)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X288, 38.46/38.92 X289:( 38.46/38.92 $i > $o)]: 38.46/38.92 in( 38.46/38.92 dsetconstr( 38.46/38.92 X288, 38.46/38.92 ^[V_13]: 38.46/38.92 X289( 38.46/38.92 V_13)), 38.46/38.92 powerset( 38.46/38.92 X288))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X290, 38.46/38.92 X291:( 38.46/38.92 $i > $o)]: 38.46/38.92 subset( 38.46/38.92 dsetconstr( 38.46/38.92 X290, 38.46/38.92 ^[V_14]: 38.46/38.92 X291( 38.46/38.92 V_14)), 38.46/38.92 X290)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X292, 38.46/38.92 X293,X294]: 38.46/38.92 (in( 38.46/38.92 X294,X292) => 38.46/38.92 in( 38.46/38.92 X294, 38.46/38.92 binunion( 38.46/38.92 X292,X293)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X295, 38.46/38.92 X296]: 38.46/38.92 in( 38.46/38.92 X296, 38.46/38.92 setadjoin( 38.46/38.92 X295, 38.46/38.92 setadjoin( 38.46/38.92 X296, 38.46/38.92 emptyset)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X297, 38.46/38.92 X298,X299]: 38.46/38.92 (in( 38.46/38.92 X299,X298) => 38.46/38.92 in( 38.46/38.92 X299, 38.46/38.92 binunion( 38.46/38.92 X297,X298)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X300, 38.46/38.92 X301, 38.46/38.92 X302, 38.46/38.92 X303:$o]: 38.46/38.92 (in( 38.46/38.92 X302, 38.46/38.92 binunion( 38.46/38.92 X300,X301)) => 38.46/38.92 (( 38.46/38.92 in( 38.46/38.92 X302,X300) => 38.46/38.92 X303) => 38.46/38.92 (( 38.46/38.92 in( 38.46/38.92 X302,X301) => 38.46/38.92 X303) => 38.46/38.92 X303)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X304, 38.46/38.92 X305,X306]: 38.46/38.92 (in( 38.46/38.92 X306, 38.46/38.92 binunion( 38.46/38.92 X304,X305)) => 38.46/38.92 (in( 38.46/38.92 X306,X305) | 38.46/38.92 in( 38.46/38.92 X306,X304)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X307, 38.46/38.92 X308]: 38.46/38.92 subset( 38.46/38.92 X307, 38.46/38.92 binunion( 38.46/38.92 X307,X308))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X309, 38.46/38.92 X310]: 38.46/38.92 subset( 38.46/38.92 X310, 38.46/38.92 binunion( 38.46/38.92 X309,X310))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X311, 38.46/38.92 X312,X313]: 38.46/38.92 (in( 38.46/38.92 X313,X311) => 38.46/38.92 (in( 38.46/38.92 X313,X312) => 38.46/38.92 in( 38.46/38.92 X313, 38.46/38.92 binintersect( 38.46/38.92 X311,X312))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X314, 38.46/38.92 X315,X316]: 38.46/38.92 (subset( 38.46/38.92 X316,X314) => 38.46/38.92 (subset( 38.46/38.92 X316,X315) => 38.46/38.92 subset( 38.46/38.92 X316, 38.46/38.92 binintersect( 38.46/38.92 X314,X315))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X317, 38.46/38.92 X318,X319]: 38.46/38.92 (in( 38.46/38.92 X319, 38.46/38.92 binintersect( 38.46/38.92 X317,X318)) => 38.46/38.92 in( 38.46/38.92 X319,X317))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X320, 38.46/38.92 X321]: 38.46/38.92 subset( 38.46/38.92 binintersect( 38.46/38.92 X320,X321), 38.46/38.92 X320)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X322, 38.46/38.92 X323]: 38.46/38.92 (subset( 38.46/38.92 X322,X323) => 38.46/38.92 (binintersect( 38.46/38.92 X322,X323) = 38.46/38.92 X322))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X324, 38.46/38.92 X325]: 38.46/38.92 (( 38.46/38.92 binintersect( 38.46/38.92 X324,X325) = 38.46/38.92 X325) => 38.46/38.92 subset( 38.46/38.92 X325,X324))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X326, 38.46/38.92 X327,X328]: 38.46/38.92 (in( 38.46/38.92 X328, 38.46/38.92 binintersect( 38.46/38.92 X326,X327)) => 38.46/38.92 in( 38.46/38.92 X328,X327))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X329, 38.46/38.92 X330]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 ( 38.46/38.92 ?[X331]: 38.46/38.92 (in( 38.46/38.92 X331,X330) & 38.46/38.92 in( 38.46/38.92 X331,X329)))) => 38.46/38.92 (binintersect( 38.46/38.92 X329,X330) = 38.46/38.92 emptyset))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X332, 38.46/38.92 X333]: 38.46/38.92 subset( 38.46/38.92 binintersect( 38.46/38.92 X332,X333), 38.46/38.92 X333)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X334, 38.46/38.92 X335]: 38.46/38.92 (subset( 38.46/38.92 X335,X334) => 38.46/38.92 (binintersect( 38.46/38.92 X334,X335) = 38.46/38.92 X335))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X336, 38.46/38.92 X337]: 38.46/38.92 (( 38.46/38.92 binintersect( 38.46/38.92 X336,X337) = 38.46/38.92 X336) => 38.46/38.92 subset( 38.46/38.92 X336,X337))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X338, 38.46/38.92 X339,X340]: 38.46/38.92 (binintersect( 38.46/38.92 X338, 38.46/38.92 binunion( 38.46/38.92 X339,X340)) = 38.46/38.92 binunion( 38.46/38.92 binintersect( 38.46/38.92 X338,X339), 38.46/38.92 binintersect( 38.46/38.92 X338,X340)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X341, 38.46/38.92 X342,X343]: 38.46/38.92 (in( 38.46/38.92 X343,X341) => 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X343,X342)) => 38.46/38.92 in( 38.46/38.92 X343, 38.46/38.92 setminus( 38.46/38.92 X341,X342))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X344, 38.46/38.92 X345,X346]: 38.46/38.92 (in( 38.46/38.92 X346, 38.46/38.92 setminus( 38.46/38.92 X344,X345)) => 38.46/38.92 in( 38.46/38.92 X346,X344))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X347, 38.46/38.92 X348,X349]: 38.46/38.92 (in( 38.46/38.92 X349, 38.46/38.92 setminus( 38.46/38.92 X347,X348)) => 38.46/38.92 (~ 38.46/38.92 in( 38.46/38.92 X349,X348)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X350, 38.46/38.92 X351]: 38.46/38.92 (subset( 38.46/38.92 X350,X351) => 38.46/38.92 (setminus( 38.46/38.92 X350,X351) = 38.46/38.92 emptyset))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X352, 38.46/38.92 X353,X354]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X354, 38.46/38.92 setminus( 38.46/38.92 X352,X353))) => 38.46/38.92 (in( 38.46/38.92 X354,X352) => 38.46/38.92 in( 38.46/38.92 X354,X353)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X355, 38.46/38.92 X356,X357]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X357, 38.46/38.92 setminus( 38.46/38.92 X355,X356))) => 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X357,X356)) => 38.46/38.92 (~ 38.46/38.92 in( 38.46/38.92 X357,X355))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X358, 38.46/38.92 X359,X360]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X360,X358)) => 38.46/38.92 (~ 38.46/38.92 in( 38.46/38.92 X360, 38.46/38.92 setminus( 38.46/38.92 X358,X359))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X361, 38.46/38.92 X362,X363]: 38.46/38.92 (in( 38.46/38.92 X363,X362) => 38.46/38.92 (~ 38.46/38.92 in( 38.46/38.92 X363, 38.46/38.92 setminus( 38.46/38.92 X361,X362))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X364, 38.46/38.92 X365]: 38.46/38.92 subset( 38.46/38.92 setminus( 38.46/38.92 X364,X365), 38.46/38.92 X364)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X366, 38.46/38.92 X367]: 38.46/38.92 (( 38.46/38.92 setminus( 38.46/38.92 X366,X367) = 38.46/38.92 emptyset) => 38.46/38.92 subset( 38.46/38.92 X366,X367))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X368, 38.46/38.92 X369,X370]: 38.46/38.92 (in( 38.46/38.92 X370, 38.46/38.92 symdiff( 38.46/38.92 X368,X369)) => 38.46/38.92 (![X371:$o]: 38.46/38.92 (( 38.46/38.92 in( 38.46/38.92 X370,X368) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X370,X369)) => 38.46/38.92 X371)) => 38.46/38.92 (( 38.46/38.92 ( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X370,X368)) => 38.46/38.92 ( 38.46/38.92 in( 38.46/38.92 X370,X369) => 38.46/38.92 X371)) => 38.46/38.92 X371))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X372, 38.46/38.92 X373,X374]: 38.46/38.92 (in( 38.46/38.92 X374,X372) => 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X374,X373)) => 38.46/38.92 in( 38.46/38.92 X374, 38.46/38.92 symdiff( 38.46/38.92 X372,X373))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X375, 38.46/38.92 X376,X377]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X377,X375)) => 38.46/38.92 (in( 38.46/38.92 X377,X376) => 38.46/38.92 in( 38.46/38.92 X377, 38.46/38.92 symdiff( 38.46/38.92 X375,X376))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X378, 38.46/38.92 X379,X380]: 38.46/38.92 (in( 38.46/38.92 X380,X378) => 38.46/38.92 (in( 38.46/38.92 X380,X379) => 38.46/38.92 (~ 38.46/38.92 in( 38.46/38.92 X380, 38.46/38.92 symdiff( 38.46/38.92 X378,X379)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X381, 38.46/38.92 X382,X383]: 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X383,X381)) => 38.46/38.92 (( 38.46/38.92 ~ 38.46/38.92 in( 38.46/38.92 X383,X382)) => 38.46/38.92 (~ 38.46/38.92 in( 38.46/38.92 X383, 38.46/38.92 symdiff( 38.46/38.92 X381,X382)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X384, 38.46/38.92 X385]: 38.46/38.92 in( 38.46/38.92 X385, 38.46/38.92 setadjoin( 38.46/38.92 X384, 38.46/38.92 setadjoin( 38.46/38.92 X385, 38.46/38.92 emptyset)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X386, 38.46/38.92 X387]: 38.46/38.92 in( 38.46/38.92 X386, 38.46/38.92 setunion( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X386, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X386, 38.46/38.92 setadjoin( 38.46/38.92 X387, 38.46/38.92 emptyset)), 38.46/38.92 emptyset))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X388, 38.46/38.92 X389]: 38.46/38.92 in( 38.46/38.92 X389, 38.46/38.92 setunion( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X388, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X388, 38.46/38.92 setadjoin( 38.46/38.92 X389, 38.46/38.92 emptyset)), 38.46/38.92 emptyset))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X390, 38.46/38.92 X391]: 38.46/38.92 iskpair( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X390, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X390, 38.46/38.92 setadjoin( 38.46/38.92 X391, 38.46/38.92 emptyset)), 38.46/38.92 emptyset)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X392, 38.46/38.92 X393]: 38.46/38.92 iskpair( 38.46/38.92 kpair( 38.46/38.92 X392,X393))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X394, 38.46/38.92 X395]: 38.46/38.92 (in( 38.46/38.92 X395,X394) => 38.46/38.92 subset( 38.46/38.92 setadjoin( 38.46/38.92 X395, 38.46/38.92 emptyset), 38.46/38.92 X394))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X396, 38.46/38.92 X397]: 38.46/38.92 (in( 38.46/38.92 X397,X396) => 38.46/38.92 in( 38.46/38.92 setadjoin( 38.46/38.92 X397, 38.46/38.92 emptyset), 38.46/38.92 powerset( 38.46/38.92 X396)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X398, 38.46/38.92 X399,X400]: 38.46/38.92 (in( 38.46/38.92 X400,X398) => 38.46/38.92 in( 38.46/38.92 setadjoin( 38.46/38.92 X400, 38.46/38.92 emptyset), 38.46/38.92 powerset( 38.46/38.92 binunion( 38.46/38.92 X398,X399))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X401, 38.46/38.92 X402,X403]: 38.46/38.92 (in( 38.46/38.92 X403, 38.46/38.92 setadjoin( 38.46/38.92 X401, 38.46/38.92 setadjoin( 38.46/38.92 X402, 38.46/38.92 emptyset))) => 38.46/38.92 (( 38.46/38.92 X403 = 38.46/38.92 X402) | 38.46/38.92 (X403 = 38.46/38.92 X401)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X404, 38.46/38.92 X405,X406]: 38.46/38.92 (in( 38.46/38.92 X406,X404) => 38.46/38.92 (![X407]: 38.46/38.92 (in( 38.46/38.92 X407,X405) => 38.46/38.92 subset( 38.46/38.92 setadjoin( 38.46/38.92 X406, 38.46/38.92 setadjoin( 38.46/38.92 X407, 38.46/38.92 emptyset)), 38.46/38.92 binunion( 38.46/38.92 X404,X405)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X408, 38.46/38.92 X409,X410]: 38.46/38.92 (in( 38.46/38.92 X410,X408) => 38.46/38.92 (![X411]: 38.46/38.92 (in( 38.46/38.92 X411,X409) => 38.46/38.92 in( 38.46/38.92 setadjoin( 38.46/38.92 X410, 38.46/38.92 setadjoin( 38.46/38.92 X411, 38.46/38.92 emptyset)), 38.46/38.92 powerset( 38.46/38.92 binunion( 38.46/38.92 X408,X409))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X412, 38.46/38.92 X413,X414]: 38.46/38.92 (in( 38.46/38.92 X414,X412) => 38.46/38.92 (![X415]: 38.46/38.92 (in( 38.46/38.92 X415,X413) => 38.46/38.92 subset( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X414, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X414, 38.46/38.92 setadjoin( 38.46/38.92 X415, 38.46/38.92 emptyset)), 38.46/38.92 emptyset)), 38.46/38.92 powerset( 38.46/38.92 binunion( 38.46/38.92 X412,X413))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X416, 38.46/38.92 X417,X418]: 38.46/38.92 (in( 38.46/38.92 X418,X416) => 38.46/38.92 (![X419]: 38.46/38.92 (in( 38.46/38.92 X419,X417) => 38.46/38.92 in( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X418, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X418, 38.46/38.92 setadjoin( 38.46/38.92 X419, 38.46/38.92 emptyset)), 38.46/38.92 emptyset)), 38.46/38.92 powerset( 38.46/38.92 powerset( 38.46/38.92 binunion( 38.46/38.92 X416,X417)))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X420, 38.46/38.92 X421,X422]: 38.46/38.92 (in( 38.46/38.92 X422,X420) => 38.46/38.92 (![X423]: 38.46/38.92 (in( 38.46/38.92 X423,X421) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 X422,X423), 38.46/38.92 powerset( 38.46/38.92 powerset( 38.46/38.92 binunion( 38.46/38.92 X420,X421)))))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X424, 38.46/38.92 X425,X426]: 38.46/38.92 (in( 38.46/38.92 X426,X424) => 38.46/38.92 (![X427]: 38.46/38.92 (in( 38.46/38.92 X427,X425) => 38.46/38.92 in( 38.46/38.92 kpair( 38.46/38.92 X426,X427), 38.46/38.92 cartprod( 38.46/38.92 X424,X425)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X428, 38.46/38.92 X429,X430]: 38.46/38.92 (in( 38.46/38.92 X430, 38.46/38.92 cartprod( 38.46/38.92 X428,X429)) => 38.46/38.92 (?[X431]: 38.46/38.92 (( 38.46/38.92 ?[X432]: 38.46/38.92 (( 38.46/38.92 X430 = 38.46/38.92 kpair( 38.46/38.92 X431,X432)) & 38.46/38.92 in( 38.46/38.92 X432,X429))) & 38.46/38.92 in( 38.46/38.92 X431,X428))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X433, 38.46/38.92 X434,X435]: 38.46/38.92 (in( 38.46/38.92 X435, 38.46/38.92 cartprod( 38.46/38.92 X433,X434)) => 38.46/38.92 iskpair( 38.46/38.92 X435))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X436, 38.46/38.92 X437]: 38.46/38.92 (in( 38.46/38.92 X437, 38.46/38.92 setunion( 38.46/38.92 X436)) => 38.46/38.92 (?[X438]: 38.46/38.92 (in( 38.46/38.92 X437,X438) & 38.46/38.92 in( 38.46/38.92 X438,X436))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X439]: 38.46/38.92 subset( 38.46/38.92 setunion( 38.46/38.92 setadjoin( 38.46/38.92 X439, 38.46/38.92 emptyset)), 38.46/38.92 X439)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X440]: 38.46/38.92 subset( 38.46/38.92 X440, 38.46/38.92 setunion( 38.46/38.92 setadjoin( 38.46/38.92 X440, 38.46/38.92 emptyset)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X441]: 38.46/38.92 (setunion( 38.46/38.92 setadjoin( 38.46/38.92 X441, 38.46/38.92 emptyset)) = 38.46/38.92 X441)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X442, 38.46/38.92 X443:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ![X444]: 38.46/38.92 (in( 38.46/38.92 X444,X442) => 38.46/38.92 (![X445]: 38.46/38.92 (in( 38.46/38.92 X445,X442) => 38.46/38.92 (X443( 38.46/38.92 X444) => 38.46/38.92 (X443( 38.46/38.92 X445) => 38.46/38.92 (X444 = 38.46/38.92 X445))))))) => 38.46/38.92 (( 38.46/38.92 ?[X446]: 38.46/38.92 (X443( 38.46/38.92 X446) & 38.46/38.92 in( 38.46/38.92 X446,X442))) => 38.46/38.92 singleton( 38.46/38.92 dsetconstr( 38.46/38.92 X442, 38.46/38.92 ^[V_15]: 38.46/38.92 X443( 38.46/38.92 V_15)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X447, 38.46/38.92 X448:( 38.46/38.92 $i > $o)]: 38.46/38.92 (ex1( 38.46/38.92 X447, 38.46/38.92 ^[V_16]: 38.46/38.92 X448( 38.46/38.92 V_16)) => 38.46/38.92 (?[X449]: 38.46/38.92 (X448( 38.46/38.92 X449) & 38.46/38.92 in( 38.46/38.92 X449,X447))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X450, 38.46/38.92 X451:( 38.46/38.92 $i > $o), 38.46/38.92 X452]: 38.46/38.92 (in( 38.46/38.92 X452,X450) => 38.46/38.92 (X451( 38.46/38.92 X452) => 38.46/38.92 (( 38.46/38.92 ![X453]: 38.46/38.92 (in( 38.46/38.92 X453,X450) => 38.46/38.92 (X451( 38.46/38.92 X453) => 38.46/38.92 (X453 = 38.46/38.92 X452)))) => 38.46/38.92 ex1( 38.46/38.92 X450, 38.46/38.92 ^[V_17]: 38.46/38.92 X451( 38.46/38.92 V_17)))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X454, 38.46/38.92 X455:( 38.46/38.92 $i > $o)]: 38.46/38.92 (( 38.46/38.92 ![X456]: 38.46/38.92 (in( 38.46/38.92 X456,X454) => 38.46/38.92 (![X457]: 38.46/38.92 (in( 38.46/38.92 X457,X454) => 38.46/38.92 (X455( 38.46/38.92 X456) => 38.46/38.92 (X455( 38.46/38.92 X457) => 38.46/38.92 (X456 = 38.46/38.92 X457))))))) => 38.46/38.92 (( 38.46/38.92 ?[X458]: 38.46/38.92 (X455( 38.46/38.92 X458) & 38.46/38.92 in( 38.46/38.92 X458,X454))) => 38.46/38.92 ex1( 38.46/38.92 X454, 38.46/38.92 ^[V_18]: 38.46/38.92 X455( 38.46/38.92 V_18))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X459, 38.46/38.92 X460]: 38.46/38.92 (( 38.46/38.92 setadjoin( 38.46/38.92 X459, 38.46/38.92 emptyset) = 38.46/38.92 setadjoin( 38.46/38.92 X460, 38.46/38.92 emptyset)) => 38.46/38.92 (X459 = 38.46/38.92 X460))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X461, 38.46/38.92 X462,X463]: 38.46/38.92 (in( 38.46/38.92 setadjoin( 38.46/38.92 X463, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X461, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X461, 38.46/38.92 setadjoin( 38.46/38.92 X462, 38.46/38.92 emptyset)), 38.46/38.92 emptyset))) => 38.46/38.92 (X461 = 38.46/38.92 X463))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X464]: 38.46/38.92 (iskpair( 38.46/38.92 X464) => 38.46/38.92 singleton( 38.46/38.92 dsetconstr( 38.46/38.92 setunion( 38.46/38.92 X464), 38.46/38.92 ^[V_19]: 38.46/38.92 in( 38.46/38.92 setadjoin( 38.46/38.92 V_19, 38.46/38.92 emptyset), 38.46/38.92 X464))))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X465]: 38.46/38.92 (singleton( 38.46/38.92 X465) => 38.46/38.92 in( 38.46/38.92 setunion( 38.46/38.92 X465), 38.46/38.92 X465))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X466, 38.46/38.92 X467]: 38.46/38.92 (kfst( 38.46/38.92 kpair( 38.46/38.92 X466,X467)) = 38.46/38.92 X466)) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X468, 38.46/38.92 X469,X470]: 38.46/38.92 (in( 38.46/38.92 X470, 38.46/38.92 cartprod( 38.46/38.92 X468,X469)) => 38.46/38.92 in( 38.46/38.92 kfst( 38.46/38.92 X470), 38.46/38.92 X468))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X471, 38.46/38.92 X472, 38.46/38.92 X473,X474]: 38.46/38.92 (( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X471, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X471, 38.46/38.92 setadjoin( 38.46/38.92 X472, 38.46/38.92 emptyset)), 38.46/38.92 emptyset)) = 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X473, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X473, 38.46/38.92 setadjoin( 38.46/38.92 X474, 38.46/38.92 emptyset)), 38.46/38.92 emptyset))) => 38.46/38.92 (X471 = 38.46/38.92 X473))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X475, 38.46/38.92 X476, 38.46/38.92 X477,X478]: 38.46/38.92 (( 38.46/38.92 kpair( 38.46/38.92 X475,X476) = 38.46/38.92 kpair( 38.46/38.92 X477,X478)) => 38.46/38.92 (X475 = 38.46/38.92 X477))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X479, 38.46/38.92 X480]: 38.46/38.92 (( 38.46/38.92 X479 = 38.46/38.92 X480) => 38.46/38.92 (setadjoin( 38.46/38.92 X479, 38.46/38.92 setadjoin( 38.46/38.92 X480, 38.46/38.92 emptyset)) = 38.46/38.92 setadjoin( 38.46/38.92 X479, 38.46/38.92 emptyset)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X481, 38.46/38.92 X482]: 38.46/38.92 (( 38.46/38.92 X481 = 38.46/38.92 X482) => 38.46/38.92 (setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X481, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X481, 38.46/38.92 setadjoin( 38.46/38.92 X482, 38.46/38.92 emptyset)), 38.46/38.92 emptyset)) = 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X481, 38.46/38.92 emptyset), 38.46/38.92 emptyset)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X483, 38.46/38.92 X484, 38.46/38.92 X485,X486]: 38.46/38.92 (( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X483, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X483, 38.46/38.92 setadjoin( 38.46/38.92 X484, 38.46/38.92 emptyset)), 38.46/38.92 emptyset)) = 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X485, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X485, 38.46/38.92 setadjoin( 38.46/38.92 X486, 38.46/38.92 emptyset)), 38.46/38.92 emptyset))) => 38.46/38.92 (( 38.46/38.92 X485 = 38.46/38.92 X486) => 38.46/38.92 (X484 = 38.46/38.92 X486)))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X487, 38.46/38.92 X488,X489]: 38.46/38.92 (( 38.46/38.92 setadjoin( 38.46/38.92 X487, 38.46/38.92 setadjoin( 38.46/38.92 X488, 38.46/38.92 emptyset)) = 38.46/38.92 setadjoin( 38.46/38.92 X489, 38.46/38.92 emptyset)) => 38.46/38.92 (X487 = 38.46/38.92 X488))) => 38.46/38.92 ( 38.46/38.92 ( 38.46/38.92 ![X490, 38.46/38.92 X491, 38.46/38.92 X492,X493]: 38.46/38.92 (( 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X490, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X490, 38.46/38.92 setadjoin( 38.46/38.92 X491, 38.46/38.92 emptyset)), 38.46/38.92 emptyset)) = 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X492, 38.46/38.92 emptyset), 38.46/38.92 setadjoin( 38.46/38.92 setadjoin( 38.46/38.92 X492, 38.46/38.92 setadjoin( 38.46/38.92 X493, 38.46/38.92 emptyset)), 38.46/38.92 emptyset))) => 38.46/38.93 (X491 = 38.46/38.93 X493))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X494, 38.46/38.93 X495, 38.46/38.93 X496,X497]: 38.46/38.93 (( 38.46/38.93 kpair( 38.46/38.93 X494,X495) = 38.46/38.93 kpair( 38.46/38.93 X496,X497)) => 38.46/38.93 (X495 = 38.46/38.93 X497))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X498]: 38.46/38.93 (iskpair( 38.46/38.93 X498) => 38.46/38.93 singleton( 38.46/38.93 dsetconstr( 38.46/38.93 setunion( 38.46/38.93 X498), 38.46/38.93 ^[V_20]: 38.46/38.93 (X498 = 38.46/38.93 kpair( 38.46/38.93 kfst( 38.46/38.93 X498), 38.46/38.93 V_20)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X499, 38.46/38.93 X500]: 38.46/38.93 (ksnd( 38.46/38.93 kpair( 38.46/38.93 X499,X500)) = 38.46/38.93 X500)) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X501]: 38.46/38.93 (iskpair( 38.46/38.93 X501) => 38.46/38.93 (kpair( 38.46/38.93 kfst( 38.46/38.93 X501), 38.46/38.93 ksnd( 38.46/38.93 X501)) = 38.46/38.93 X501))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X502, 38.46/38.93 X503,X504]: 38.46/38.93 (in( 38.46/38.93 X504, 38.46/38.93 cartprod( 38.46/38.93 X502,X503)) => 38.46/38.93 in( 38.46/38.93 ksnd( 38.46/38.93 X504), 38.46/38.93 X503))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X505, 38.46/38.93 X506, 38.46/38.93 X507,X508]: 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X507,X508), 38.46/38.93 cartprod( 38.46/38.93 X505,X506)) => 38.46/38.93 in( 38.46/38.93 X507,X505))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X509, 38.46/38.93 X510, 38.46/38.93 X511,X512]: 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X511,X512), 38.46/38.93 cartprod( 38.46/38.93 X509,X510)) => 38.46/38.93 in( 38.46/38.93 X512,X510))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X513, 38.46/38.93 X514,X515]: 38.46/38.93 (in( 38.46/38.93 X515,X513) => 38.46/38.93 (![X516]: 38.46/38.93 (in( 38.46/38.93 X516,X514) => 38.46/38.93 (kpair( 38.46/38.93 X515,X516) = 38.46/38.93 kpair( 38.46/38.93 X515,X516)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X517, 38.46/38.93 X518,X519]: 38.46/38.93 (in( 38.46/38.93 X519,X517) => 38.46/38.93 (![X520]: 38.46/38.93 (in( 38.46/38.93 X520,X518) => 38.46/38.93 (kfst( 38.46/38.93 kpair( 38.46/38.93 X519,X520)) = 38.46/38.93 X519))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X521, 38.46/38.93 X522,X523]: 38.46/38.93 (in( 38.46/38.93 X523,X521) => 38.46/38.93 (![X524]: 38.46/38.93 (in( 38.46/38.93 X524,X522) => 38.46/38.93 (ksnd( 38.46/38.93 kpair( 38.46/38.93 X523,X524)) = 38.46/38.93 X524))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X525, 38.46/38.93 X526,X527]: 38.46/38.93 (in( 38.46/38.93 X527, 38.46/38.93 cartprod( 38.46/38.93 X525,X526)) => 38.46/38.93 (kpair( 38.46/38.93 kfst( 38.46/38.93 X527), 38.46/38.93 ksnd( 38.46/38.93 X527)) = 38.46/38.93 X527))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X528, 38.46/38.93 X529, 38.46/38.93 X530:( 38.46/38.93 ($i * $i) > 38.46/38.93 $o),X531]: 38.46/38.93 (in( 38.46/38.93 X531,X528) => 38.46/38.93 (![X532]: 38.46/38.93 (in( 38.46/38.93 X532,X529) => 38.46/38.93 (X530( 38.46/38.93 X531,X532) => 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X531,X532), 38.46/38.93 dpsetconstr( 38.46/38.93 X528, 38.46/38.93 X529, 38.46/38.93 ^[V_21, 38.46/38.93 V_22]: 38.46/38.93 X530( 38.46/38.93 V_21,V_22)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X533, 38.46/38.93 X534, 38.46/38.93 X535:( 38.46/38.93 ($i * $i) > 38.46/38.93 $o)]: 38.46/38.93 subset( 38.46/38.93 dpsetconstr( 38.46/38.93 X533, 38.46/38.93 X534, 38.46/38.93 ^[V_23, 38.46/38.93 V_24]: 38.46/38.93 X535( 38.46/38.93 V_23,V_24)), 38.46/38.93 cartprod( 38.46/38.93 X533,X534))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X536, 38.46/38.93 X537, 38.46/38.93 X538:( 38.46/38.93 ($i * $i) > 38.46/38.93 $o)]: 38.46/38.93 subset( 38.46/38.93 dpsetconstr( 38.46/38.93 X536, 38.46/38.93 X537, 38.46/38.93 ^[V_25, 38.46/38.93 V_26]: 38.46/38.93 X538( 38.46/38.93 V_25,V_26)), 38.46/38.93 cartprod( 38.46/38.93 X536,X537))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X539, 38.46/38.93 X540, 38.46/38.93 X541:( 38.46/38.93 ($i * $i) > 38.46/38.93 $o),X542]: 38.46/38.93 (in( 38.46/38.93 X542,X539) => 38.46/38.93 (![X543]: 38.46/38.93 (in( 38.46/38.93 X543,X540) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X542,X543), 38.46/38.93 dpsetconstr( 38.46/38.93 X539, 38.46/38.93 X540, 38.46/38.93 ^[V_27, 38.46/38.93 V_28]: 38.46/38.93 X541( 38.46/38.93 V_27,V_28))) => 38.46/38.93 X541( 38.46/38.93 X542,X543)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X544, 38.46/38.93 X545, 38.46/38.93 X546:( 38.46/38.93 ($i * $i) > 38.46/38.93 $o),X547, 38.46/38.93 X548]: 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X547,X548), 38.46/38.93 dpsetconstr( 38.46/38.93 X544, 38.46/38.93 X545, 38.46/38.93 ^[V_29, 38.46/38.93 V_30]: 38.46/38.93 X546( 38.46/38.93 V_29,V_30))) => 38.46/38.93 in( 38.46/38.93 X547,X544))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X549, 38.46/38.93 X550, 38.46/38.93 X551:( 38.46/38.93 ($i * $i) > 38.46/38.93 $o),X552, 38.46/38.93 X553]: 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X552,X553), 38.46/38.93 dpsetconstr( 38.46/38.93 X549, 38.46/38.93 X550, 38.46/38.93 ^[V_31, 38.46/38.93 V_32]: 38.46/38.93 X551( 38.46/38.93 V_31,V_32))) => 38.46/38.93 in( 38.46/38.93 X553,X550))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X554, 38.46/38.93 X555, 38.46/38.93 X556:( 38.46/38.93 ($i * $i) > 38.46/38.93 $o),X557, 38.46/38.93 X558]: 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X557,X558), 38.46/38.93 dpsetconstr( 38.46/38.93 X554, 38.46/38.93 X555, 38.46/38.93 ^[V_33, 38.46/38.93 V_34]: 38.46/38.93 X556( 38.46/38.93 V_33,V_34))) => 38.46/38.93 X556( 38.46/38.93 X557,X558))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X559, 38.46/38.93 X560,X561]: 38.46/38.93 (func( 38.46/38.93 X559, 38.46/38.93 X560,X561) => 38.46/38.93 (![X562]: 38.46/38.93 (in( 38.46/38.93 X562,X559) => 38.46/38.93 singleton( 38.46/38.93 dsetconstr( 38.46/38.93 X560, 38.46/38.93 ^[V_35]: 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X562,V_35), 38.46/38.93 X561))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X563, 38.46/38.93 X564,X565]: 38.46/38.93 (func( 38.46/38.93 X563, 38.46/38.93 X564,X565) => 38.46/38.93 (![X566]: 38.46/38.93 (in( 38.46/38.93 X566,X563) => 38.46/38.93 in( 38.46/38.93 setunion( 38.46/38.93 dsetconstr( 38.46/38.93 X564, 38.46/38.93 ^[V_36]: 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X566,V_36), 38.46/38.93 X565))), 38.46/38.93 X564))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X567, 38.46/38.93 X568,X569]: 38.46/38.93 (func( 38.46/38.93 X567, 38.46/38.93 X568,X569) => 38.46/38.93 (![X570]: 38.46/38.93 (in( 38.46/38.93 X570,X567) => 38.46/38.93 in( 38.46/38.93 ap( 38.46/38.93 X567, 38.46/38.93 X568, 38.46/38.93 X569,X570), 38.46/38.93 X568))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X571, 38.46/38.93 X572,X573]: 38.46/38.93 (in( 38.46/38.93 X573, 38.46/38.93 funcSet( 38.46/38.93 X571,X572)) => 38.46/38.93 func( 38.46/38.93 X571, 38.46/38.93 X572,X573))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X574, 38.46/38.93 X575,X576]: 38.46/38.93 (in( 38.46/38.93 X576, 38.46/38.93 funcSet( 38.46/38.93 X574,X575)) => 38.46/38.93 (![X577]: 38.46/38.93 (in( 38.46/38.93 X577,X574) => 38.46/38.93 in( 38.46/38.93 ap( 38.46/38.93 X574, 38.46/38.93 X575, 38.46/38.93 X576,X577), 38.46/38.93 X575))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X578, 38.46/38.93 X579,X580]: 38.46/38.93 (func( 38.46/38.93 X578, 38.46/38.93 X579,X580) => 38.46/38.93 in( 38.46/38.93 X580, 38.46/38.93 funcSet( 38.46/38.93 X578,X579)))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X581, 38.46/38.93 X582, 38.46/38.93 X583:( 38.46/38.93 $i > $i)]: 38.46/38.93 (( 38.46/38.93 ![X584]: 38.46/38.93 (in( 38.46/38.93 X584,X581) => 38.46/38.93 in( 38.46/38.93 X583( 38.46/38.93 X584), 38.46/38.93 X582))) => 38.46/38.93 func( 38.46/38.93 X581, 38.46/38.93 X582, 38.46/38.93 dpsetconstr( 38.46/38.93 X581, 38.46/38.93 X582, 38.46/38.93 ^[V_37, 38.46/38.93 V_38]: 38.46/38.93 (X583( 38.46/38.93 V_37) = 38.46/38.93 V_38))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X585, 38.46/38.93 X586, 38.46/38.93 X587:( 38.46/38.93 $i > $i)]: 38.46/38.93 (( 38.46/38.93 ![X588]: 38.46/38.93 (in( 38.46/38.93 X588,X585) => 38.46/38.93 in( 38.46/38.93 X587( 38.46/38.93 X588), 38.46/38.93 X586))) => 38.46/38.93 func( 38.46/38.93 X585, 38.46/38.93 X586, 38.46/38.93 lam( 38.46/38.93 X585, 38.46/38.93 X586, 38.46/38.93 ^[V_39]: 38.46/38.93 X587( 38.46/38.93 V_39))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X589, 38.46/38.93 X590, 38.46/38.93 X591:( 38.46/38.93 $i > $i)]: 38.46/38.93 (( 38.46/38.93 ![X592]: 38.46/38.93 (in( 38.46/38.93 X592,X589) => 38.46/38.93 in( 38.46/38.93 X591( 38.46/38.93 X592), 38.46/38.93 X590))) => 38.46/38.93 in( 38.46/38.93 lam( 38.46/38.93 X589, 38.46/38.93 X590, 38.46/38.93 ^[V_40]: 38.46/38.93 X591( 38.46/38.93 V_40)), 38.46/38.93 funcSet( 38.46/38.93 X589,X590)))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X593, 38.46/38.93 X594,X595]: 38.46/38.93 (subset( 38.46/38.93 X595, 38.46/38.93 cartprod( 38.46/38.93 X593,X594)) => 38.46/38.93 (![X596:( 38.46/38.93 $i > $o)]: 38.46/38.93 (( 38.46/38.93 ![X597]: 38.46/38.93 (in( 38.46/38.93 X597,X593) => 38.46/38.93 (![X598]: 38.46/38.93 (in( 38.46/38.93 X598,X594) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X597,X598), 38.46/38.93 X595) => 38.46/38.93 X596( 38.46/38.93 kpair( 38.46/38.93 X597,X598))))))) => 38.46/38.93 (![X599]: 38.46/38.93 (in( 38.46/38.93 X599,X595) => 38.46/38.93 X596( 38.46/38.93 X599))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X600, 38.46/38.93 X601,X602]: 38.46/38.93 (subset( 38.46/38.93 X602, 38.46/38.93 cartprod( 38.46/38.93 X600,X601)) => 38.46/38.93 (![X603:( 38.46/38.93 $i > $o)]: 38.46/38.93 (( 38.46/38.93 ![X604]: 38.46/38.93 (in( 38.46/38.93 X604,X600) => 38.46/38.93 (![X605]: 38.46/38.93 (in( 38.46/38.93 X605,X601) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X604,X605), 38.46/38.93 X602) => 38.46/38.93 X603( 38.46/38.93 kpair( 38.46/38.93 X604,X605))))))) => 38.46/38.93 (![X606]: 38.46/38.93 (in( 38.46/38.93 X606,X602) => 38.46/38.93 X603( 38.46/38.93 X606))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X607, 38.46/38.93 X608:( 38.46/38.93 $i > $o)]: 38.46/38.93 (ex1( 38.46/38.93 X607, 38.46/38.93 ^[V_41]: 38.46/38.93 X608( 38.46/38.93 V_41)) => 38.46/38.93 (![X609]: 38.46/38.93 (in( 38.46/38.93 X609,X607) => 38.46/38.93 (![X610]: 38.46/38.93 (in( 38.46/38.93 X610,X607) => 38.46/38.93 (X608( 38.46/38.93 X609) => 38.46/38.93 (X608( 38.46/38.93 X610) => 38.46/38.93 (X609 = 38.46/38.93 X610))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X611, 38.46/38.93 X612,X613]: 38.46/38.93 (func( 38.46/38.93 X611, 38.46/38.93 X612,X613) => 38.46/38.93 (![X614]: 38.46/38.93 (in( 38.46/38.93 X614,X611) => 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X614, 38.46/38.93 ap( 38.46/38.93 X611, 38.46/38.93 X612, 38.46/38.93 X613,X614)), 38.46/38.93 X613))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X615, 38.46/38.93 X616,X617]: 38.46/38.93 (in( 38.46/38.93 X617, 38.46/38.93 funcSet( 38.46/38.93 X615,X616)) => 38.46/38.93 (![X618]: 38.46/38.93 (in( 38.46/38.93 X618,X615) => 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X618, 38.46/38.93 ap( 38.46/38.93 X615, 38.46/38.93 X616, 38.46/38.93 X617,X618)), 38.46/38.93 X617))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X619, 38.46/38.93 X620,X621]: 38.46/38.93 (func( 38.46/38.93 X619, 38.46/38.93 X620,X621) => 38.46/38.93 (![X622]: 38.46/38.93 (in( 38.46/38.93 X622,X619) => 38.46/38.93 (![X623]: 38.46/38.93 (in( 38.46/38.93 X623,X620) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X622,X623), 38.46/38.93 X621) => 38.46/38.93 (ap( 38.46/38.93 X619, 38.46/38.93 X620, 38.46/38.93 X621,X622) = 38.46/38.93 X623)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X624, 38.46/38.93 X625,X626]: 38.46/38.93 (func( 38.46/38.93 X624, 38.46/38.93 X625,X626) => 38.46/38.93 (![X627]: 38.46/38.93 (func( 38.46/38.93 X624, 38.46/38.93 X625,X627) => 38.46/38.93 (( 38.46/38.93 ![X628]: 38.46/38.93 (in( 38.46/38.93 X628,X624) => 38.46/38.93 (ap( 38.46/38.93 X624, 38.46/38.93 X625, 38.46/38.93 X626,X628) = 38.46/38.93 ap( 38.46/38.93 X624, 38.46/38.93 X625, 38.46/38.93 X627,X628)))) => 38.46/38.93 (![X629]: 38.46/38.93 (in( 38.46/38.93 X629,X624) => 38.46/38.93 (![X630]: 38.46/38.93 (in( 38.46/38.93 X630,X625) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X629,X630), 38.46/38.93 X627) => 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X629,X630), 38.46/38.93 X626))))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X631, 38.46/38.93 X632,X633]: 38.46/38.93 (in( 38.46/38.93 X633, 38.46/38.93 funcSet( 38.46/38.93 X631,X632)) => 38.46/38.93 (![X634]: 38.46/38.93 (in( 38.46/38.93 X634,X631) => 38.46/38.93 (![X635]: 38.46/38.93 (in( 38.46/38.93 X635,X632) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X634,X635), 38.46/38.93 X633) => 38.46/38.93 (ap( 38.46/38.93 X631, 38.46/38.93 X632, 38.46/38.93 X633,X634) = 38.46/38.93 X635)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X636, 38.46/38.93 X637,X638]: 38.46/38.93 (subset( 38.46/38.93 X638, 38.46/38.93 cartprod( 38.46/38.93 X636,X637)) => 38.46/38.93 (![X639]: 38.46/38.93 (subset( 38.46/38.93 X639, 38.46/38.93 cartprod( 38.46/38.93 X636,X637)) => 38.46/38.93 (( 38.46/38.93 ![X640]: 38.46/38.93 (in( 38.46/38.93 X640,X636) => 38.46/38.93 (![X641]: 38.46/38.93 (in( 38.46/38.93 X641,X637) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X640,X641), 38.46/38.93 X638) => 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X640,X641), 38.46/38.93 X639)))))) => 38.46/38.93 subset( 38.46/38.93 X638,X639)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X642, 38.46/38.93 X643,X644]: 38.46/38.93 (subset( 38.46/38.93 X644, 38.46/38.93 cartprod( 38.46/38.93 X642,X643)) => 38.46/38.93 (![X645]: 38.46/38.93 (subset( 38.46/38.93 X645, 38.46/38.93 cartprod( 38.46/38.93 X642,X643)) => 38.46/38.93 (( 38.46/38.93 ![X646]: 38.46/38.93 (in( 38.46/38.93 X646,X642) => 38.46/38.93 (![X647]: 38.46/38.93 (in( 38.46/38.93 X647,X643) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X646,X647), 38.46/38.93 X644) => 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X646,X647), 38.46/38.93 X645)))))) => 38.46/38.93 (( 38.46/38.93 ![X648]: 38.46/38.93 (in( 38.46/38.93 X648,X642) => 38.46/38.93 (![X649]: 38.46/38.93 (in( 38.46/38.93 X649,X643) => 38.46/38.93 (in( 38.46/38.93 kpair( 38.46/38.93 X648,X649), 38.46/38.93 X645) => 38.46/38.93 in( 38.46/38.93 kpair( 38.46/38.93 X648,X649), 38.46/38.93 X644)))))) => 38.46/38.93 (X644 = 38.46/38.93 X645))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X650, 38.46/38.93 X651,X652]: 38.46/38.93 (func( 38.46/38.93 X650, 38.46/38.93 X651,X652) => 38.46/38.93 (![X653]: 38.46/38.93 (func( 38.46/38.93 X650, 38.46/38.93 X651,X653) => 38.46/38.93 (( 38.46/38.93 ![X654]: 38.46/38.93 (in( 38.46/38.93 X654,X650) => 38.46/38.93 (ap( 38.46/38.93 X650, 38.46/38.93 X651, 38.46/38.93 X652,X654) = 38.46/38.93 ap( 38.46/38.93 X650, 38.46/38.93 X651, 38.46/38.93 X653,X654)))) => 38.46/38.93 (X652 = 38.46/38.93 X653)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X655, 38.46/38.93 X656,X657]: 38.46/38.93 (in( 38.46/38.93 X657, 38.46/38.93 funcSet( 38.46/38.93 X655,X656)) => 38.46/38.93 (![X658]: 38.46/38.93 (in( 38.46/38.93 X658, 38.46/38.93 funcSet( 38.46/38.93 X655,X656)) => 38.46/38.93 (( 38.46/38.93 ![X659]: 38.46/38.93 (in( 38.46/38.93 X659,X655) => 38.46/38.93 (ap( 38.46/38.93 X655, 38.46/38.93 X656, 38.46/38.93 X657,X659) = 38.46/38.93 ap( 38.46/38.93 X655, 38.46/38.93 X656, 38.46/38.93 X658,X659)))) => 38.46/38.93 (X657 = 38.46/38.93 X658)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X660, 38.46/38.93 X661,X662]: 38.46/38.93 (in( 38.46/38.93 X662, 38.46/38.93 funcSet( 38.46/38.93 X660,X661)) => 38.46/38.93 (![X663]: 38.46/38.93 (in( 38.46/38.93 X663,X660) => 38.46/38.93 (ap( 38.46/38.93 X660, 38.46/38.93 X661, 38.46/38.93 X662,X663) = 38.46/38.93 ap( 38.46/38.93 X660, 38.46/38.93 X661, 38.46/38.93 X662,X663)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X664, 38.46/38.93 X665,X666]: 38.46/38.93 (func( 38.46/38.93 X664, 38.46/38.93 X665,X666) => 38.46/38.93 (![X667]: 38.46/38.93 (in( 38.46/38.93 X667,X664) => 38.46/38.93 (ap( 38.46/38.93 X664, 38.46/38.93 X665, 38.46/38.93 X666,X667) = 38.46/38.93 ap( 38.46/38.93 X664, 38.46/38.93 X665, 38.46/38.93 X666,X667)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X668, 38.46/38.93 X669, 38.46/38.93 X670:( 38.46/38.93 $i > $i)]: 38.46/38.93 (( 38.46/38.93 ![X671]: 38.46/38.93 (in( 38.46/38.93 X671,X668) => 38.46/38.93 in( 38.46/38.93 X670( 38.46/38.93 X671), 38.46/38.93 X669))) => 38.46/38.93 (![X672]: 38.46/38.93 (in( 38.46/38.93 X672,X668) => 38.46/38.93 (ap( 38.46/38.93 X668, 38.46/38.93 X669, 38.46/38.93 lam( 38.46/38.93 X668, 38.46/38.93 X669, 38.46/38.93 ^[V_42]: 38.46/38.93 X670( 38.46/38.93 V_42)), 38.46/38.93 X672) = 38.46/38.93 X670( 38.46/38.93 X672)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X673, 38.46/38.93 X674,X675]: 38.46/38.93 (func( 38.46/38.93 X673, 38.46/38.93 X674,X675) => 38.46/38.93 (lam( 38.46/38.93 X673, 38.46/38.93 X674, 38.46/38.93 ^[V_43]: 38.46/38.93 ap( 38.46/38.93 X673, 38.46/38.93 X674, 38.46/38.93 X675,V_43)) = 38.46/38.93 X675))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X676, 38.46/38.93 X677, 38.46/38.93 X678:( 38.46/38.93 $i > $i)]: 38.46/38.93 (( 38.46/38.93 ![X679]: 38.46/38.93 (in( 38.46/38.93 X679,X676) => 38.46/38.93 in( 38.46/38.93 X678( 38.46/38.93 X679), 38.46/38.93 X677))) => 38.46/38.93 (lam( 38.46/38.93 X676, 38.46/38.93 X677, 38.46/38.93 ^[V_44]: 38.46/38.93 X678( 38.46/38.93 V_44)) = 38.46/38.93 lam( 38.46/38.93 X676, 38.46/38.93 X677, 38.46/38.93 ^[V_45]: 38.46/38.93 X678( 38.46/38.93 V_45))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X680, 38.46/38.93 X681, 38.46/38.93 X682:( 38.46/38.93 $i > $i)]: 38.46/38.93 (( 38.46/38.93 ![X683]: 38.46/38.93 (in( 38.46/38.93 X683,X680) => 38.46/38.93 in( 38.46/38.93 X682( 38.46/38.93 X683), 38.46/38.93 X681))) => 38.46/38.93 (![X684]: 38.46/38.93 (in( 38.46/38.93 X684,X680) => 38.46/38.93 (ap( 38.46/38.93 X680, 38.46/38.93 X681, 38.46/38.93 lam( 38.46/38.93 X680, 38.46/38.93 X681, 38.46/38.93 ^[V_46]: 38.46/38.93 X682( 38.46/38.93 V_46)), 38.46/38.93 X684) = 38.46/38.93 X682( 38.46/38.93 X684)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X685, 38.46/38.93 X686,X687]: 38.46/38.93 (in( 38.46/38.93 X687, 38.46/38.93 funcSet( 38.46/38.93 X685,X686)) => 38.46/38.93 (lam( 38.46/38.93 X685, 38.46/38.93 X686, 38.46/38.93 ^[V_47]: 38.46/38.93 ap( 38.46/38.93 X685, 38.46/38.93 X686, 38.46/38.93 X687,V_47)) = 38.46/38.93 X687))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X688, 38.46/38.93 X689:$o, 38.46/38.93 X690]: 38.46/38.93 (in( 38.46/38.93 X690,X688) => 38.46/38.93 (![X691]: 38.46/38.93 (in( 38.46/38.93 X691,X688) => 38.46/38.93 (( 38.46/38.93 ~X689) => 38.46/38.93 in( 38.46/38.93 X691, 38.46/38.93 dsetconstr( 38.46/38.93 X688, 38.46/38.93 ^[V_48]: 38.46/38.93 (( 38.46/38.93 X689 & 38.46/38.93 ( 38.46/38.93 V_48 = 38.46/38.93 X690)) | 38.46/38.93 (( 38.46/38.93 ~X689) & 38.46/38.93 (V_48 = 38.46/38.93 X691)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X692, 38.46/38.93 X693:$o, 38.46/38.93 X694]: 38.46/38.93 (in( 38.46/38.93 X694,X692) => 38.46/38.93 (![X695]: 38.46/38.93 (in( 38.46/38.93 X695,X692) => 38.46/38.93 (( 38.46/38.93 ~X693) => 38.46/38.93 (dsetconstr( 38.46/38.93 X692, 38.46/38.93 ^[V_49]: 38.46/38.93 (( 38.46/38.93 X693 & 38.46/38.93 ( 38.46/38.93 V_49 = 38.46/38.93 X694)) | 38.46/38.93 (( 38.46/38.93 ~X693) & 38.46/38.93 (V_49 = 38.46/38.93 X695)))) = 38.46/38.93 setadjoin( 38.46/38.93 X695, 38.46/38.93 emptyset))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X696, 38.46/38.93 X697:$o, 38.46/38.93 X698]: 38.46/38.93 (in( 38.46/38.93 X698,X696) => 38.46/38.93 (![X699]: 38.46/38.93 (in( 38.46/38.93 X699,X696) => 38.46/38.93 (X697 => 38.46/38.93 in( 38.46/38.93 X698, 38.46/38.93 dsetconstr( 38.46/38.93 X696, 38.46/38.93 ^[V_50]: 38.46/38.93 (( 38.46/38.93 X697 & 38.46/38.93 ( 38.46/38.93 V_50 = 38.46/38.93 X698)) | 38.46/38.93 (( 38.46/38.93 ~X697) & 38.46/38.93 (V_50 = 38.46/38.93 X699)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X700, 38.46/38.93 X701:$o, 38.46/38.93 X702]: 38.46/38.93 (in( 38.46/38.93 X702,X700) => 38.46/38.93 (![X703]: 38.46/38.93 (in( 38.46/38.93 X703,X700) => 38.46/38.93 (X701 => 38.46/38.93 (dsetconstr( 38.46/38.93 X700, 38.46/38.93 ^[V_51]: 38.46/38.93 (( 38.46/38.93 X701 & 38.46/38.93 ( 38.46/38.93 V_51 = 38.46/38.93 X702)) | 38.46/38.93 (( 38.46/38.93 ~X701) & 38.46/38.93 (V_51 = 38.46/38.93 X703)))) = 38.46/38.93 setadjoin( 38.46/38.93 X702, 38.46/38.93 emptyset))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X704, 38.46/38.93 X705:$o, 38.46/38.93 X706]: 38.46/38.93 (in( 38.46/38.93 X706,X704) => 38.46/38.93 (![X707]: 38.46/38.93 (in( 38.46/38.93 X707,X704) => 38.46/38.93 singleton( 38.46/38.93 dsetconstr( 38.46/38.93 X704, 38.46/38.93 ^[V_52]: 38.46/38.93 (( 38.46/38.93 X705 & 38.46/38.93 ( 38.46/38.93 V_52 = 38.46/38.93 X706)) | 38.46/38.93 (( 38.46/38.93 ~X705) & 38.46/38.93 (V_52 = 38.46/38.93 X707))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X708, 38.46/38.93 X709:$o, 38.46/38.93 X710]: 38.46/38.93 (in( 38.46/38.93 X710,X708) => 38.46/38.93 (![X711]: 38.46/38.93 (in( 38.46/38.93 X711,X708) => 38.46/38.93 in( 38.46/38.93 if( 38.46/38.93 X708, 38.46/38.93 X709, 38.46/38.93 X710,X711), 38.46/38.93 X708))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X712]: 38.46/38.93 (singleton( 38.46/38.93 X712) => 38.46/38.93 (![X713]: 38.46/38.93 (in( 38.46/38.93 X713,X712) => 38.46/38.93 (setunion( 38.46/38.93 X712) = 38.46/38.93 X713))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X714, 38.46/38.93 X715:$o, 38.46/38.93 X716]: 38.46/38.93 (in( 38.46/38.93 X716,X714) => 38.46/38.93 (![X717]: 38.46/38.93 (in( 38.46/38.93 X717,X714) => 38.46/38.93 (X715 => 38.46/38.93 (if( 38.46/38.93 X714, 38.46/38.93 X715, 38.46/38.93 X716,X717) = 38.46/38.93 X716)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X718, 38.46/38.93 X719:$o, 38.46/38.93 X720]: 38.46/38.93 (in( 38.46/38.93 X720,X718) => 38.46/38.93 (![X721]: 38.46/38.93 (in( 38.46/38.93 X721,X718) => 38.46/38.93 (( 38.46/38.93 ~X719) => 38.46/38.93 (if( 38.46/38.93 X718, 38.46/38.93 X719, 38.46/38.93 X720,X721) = 38.46/38.93 X721)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X722, 38.46/38.93 X723:$o, 38.46/38.93 X724]: 38.46/38.93 (in( 38.46/38.93 X724,X722) => 38.46/38.93 (![X725]: 38.46/38.93 (in( 38.46/38.93 X725,X722) => 38.46/38.93 in( 38.46/38.93 if( 38.46/38.93 X722, 38.46/38.93 X723, 38.46/38.93 X724,X725), 38.46/38.93 setadjoin( 38.46/38.93 X724, 38.46/38.93 setadjoin( 38.46/38.93 X725, 38.46/38.93 emptyset))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X726, 38.46/38.93 X727]: 38.46/38.93 (in( 38.46/38.93 X727, 38.46/38.93 powerset( 38.46/38.93 X726)) => 38.46/38.93 (![X728]: 38.46/38.93 (in( 38.46/38.93 X728, 38.46/38.93 powerset( 38.46/38.93 X726)) => 38.46/38.93 in( 38.46/38.93 binintersect( 38.46/38.93 X727,X728), 38.46/38.93 powerset( 38.46/38.93 X726)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X729, 38.46/38.93 X730]: 38.46/38.93 (in( 38.46/38.93 X730, 38.46/38.93 powerset( 38.46/38.93 X729)) => 38.46/38.93 (![X731]: 38.46/38.93 (in( 38.46/38.93 X731, 38.46/38.93 powerset( 38.46/38.93 X729)) => 38.46/38.93 in( 38.46/38.93 binunion( 38.46/38.93 X730,X731), 38.46/38.93 powerset( 38.46/38.93 X729)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X732, 38.46/38.93 X733]: 38.46/38.93 (in( 38.46/38.93 X733, 38.46/38.93 powerset( 38.46/38.93 X732)) => 38.46/38.93 in( 38.46/38.93 powerset( 38.46/38.93 X733), 38.46/38.93 powerset( 38.46/38.93 powerset( 38.46/38.93 X732))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X734, 38.46/38.93 X735]: 38.46/38.93 (in( 38.46/38.93 X735, 38.46/38.93 powerset( 38.46/38.93 X734)) => 38.46/38.93 (![X736]: 38.46/38.93 (in( 38.46/38.93 X736, 38.46/38.93 powerset( 38.46/38.93 X734)) => 38.46/38.93 in( 38.46/38.93 setminus( 38.46/38.93 X735,X736), 38.46/38.93 powerset( 38.46/38.93 X734)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X737, 38.46/38.93 X738]: 38.46/38.93 (in( 38.46/38.93 X738, 38.46/38.93 powerset( 38.46/38.93 X737)) => 38.46/38.93 in( 38.46/38.93 setminus( 38.46/38.93 X737,X738), 38.46/38.93 powerset( 38.46/38.93 X737)))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X739, 38.46/38.93 X740]: 38.46/38.93 (in( 38.46/38.93 X740, 38.46/38.93 powerset( 38.46/38.93 X739)) => 38.46/38.93 (![X741]: 38.46/38.93 (in( 38.46/38.93 X741, 38.46/38.93 powerset( 38.46/38.93 X739)) => 38.46/38.93 (( 38.46/38.93 ![X742]: 38.46/38.93 (in( 38.46/38.93 X742,X739) => 38.46/38.93 (in( 38.46/38.93 X742,X740) => 38.46/38.93 in( 38.46/38.93 X742,X741)))) => 38.46/38.93 (( 38.46/38.93 ![X743]: 38.46/38.93 (in( 38.46/38.93 X743,X739) => 38.46/38.93 (in( 38.46/38.93 X743,X741) => 38.46/38.93 in( 38.46/38.93 X743,X740)))) => 38.46/38.93 (X740 = 38.46/38.93 X741))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X744, 38.46/38.93 X745]: 38.46/38.93 (in( 38.46/38.93 X745, 38.46/38.93 powerset( 38.46/38.93 X744)) => 38.46/38.93 (![X746]: 38.46/38.93 (in( 38.46/38.93 X746, 38.46/38.93 powerset( 38.46/38.93 X744)) => 38.46/38.93 (( 38.46/38.93 ![X747]: 38.46/38.93 (in( 38.46/38.93 X747,X744) => 38.46/38.93 (in( 38.46/38.93 X747,X745) => 38.46/38.93 in( 38.46/38.93 X747,X746)))) => 38.46/38.93 subset( 38.46/38.93 X745,X746)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X748, 38.46/38.93 X749]: 38.46/38.93 (in( 38.46/38.93 X749, 38.46/38.93 powerset( 38.46/38.93 X748)) => 38.46/38.93 (![X750]: 38.46/38.93 (in( 38.46/38.93 X750, 38.46/38.93 powerset( 38.46/38.93 X748)) => 38.46/38.93 (( 38.46/38.93 ![X751]: 38.46/38.93 (in( 38.46/38.93 X751,X748) => 38.46/38.93 (in( 38.46/38.93 X751,X749) => 38.46/38.93 in( 38.46/38.93 X751,X750)))) => 38.46/38.93 in( 38.46/38.93 X749, 38.46/38.93 powerset( 38.46/38.93 X750))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X752, 38.46/38.93 X753]: 38.46/38.93 (in( 38.46/38.93 X753, 38.46/38.93 powerset( 38.46/38.93 X752)) => 38.46/38.93 (![X754]: 38.46/38.93 (in( 38.46/38.93 X754, 38.46/38.93 powerset( 38.46/38.93 X752)) => 38.46/38.93 (![X755]: 38.46/38.93 (in( 38.46/38.93 X755,X752) => 38.46/38.93 (in( 38.46/38.93 X753, 38.46/38.93 powerset( 38.46/38.93 X754)) => 38.46/38.93 (in( 38.46/38.93 X755,X753) => 38.46/38.93 in( 38.46/38.93 X755,X754))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X756, 38.46/38.93 X757]: 38.46/38.93 (in( 38.46/38.93 X757, 38.46/38.93 powerset( 38.46/38.93 X756)) => 38.46/38.93 (![X758]: 38.46/38.93 (in( 38.46/38.93 X758,X756) => 38.46/38.93 (in( 38.46/38.93 X758,X757) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X758, 38.46/38.93 setminus( 38.46/38.93 X756,X757)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X759, 38.46/38.93 X760]: 38.46/38.93 (in( 38.46/38.93 X760, 38.46/38.93 powerset( 38.46/38.93 X759)) => 38.46/38.93 (![X761]: 38.46/38.93 (in( 38.46/38.93 X761,X759) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X761, 38.46/38.93 setminus( 38.46/38.93 X759,X760))) => 38.46/38.93 in( 38.46/38.93 X761,X760)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X762, 38.46/38.93 X763]: 38.46/38.93 (in( 38.46/38.93 X763, 38.46/38.93 powerset( 38.46/38.93 X762)) => 38.46/38.93 (![X764]: 38.46/38.93 (in( 38.46/38.93 X764, 38.46/38.93 powerset( 38.46/38.93 X762)) => 38.46/38.93 (![X765]: 38.46/38.93 (in( 38.46/38.93 X765,X762) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X765,X763)) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X765, 38.46/38.93 binintersect( 38.46/38.93 X763,X764)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X766, 38.46/38.93 X767]: 38.46/38.93 (in( 38.46/38.93 X767, 38.46/38.93 powerset( 38.46/38.93 X766)) => 38.46/38.93 (![X768]: 38.46/38.93 (in( 38.46/38.93 X768, 38.46/38.93 powerset( 38.46/38.93 X766)) => 38.46/38.93 (![X769]: 38.46/38.93 (in( 38.46/38.93 X769,X766) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X769,X768)) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X769, 38.46/38.93 binintersect( 38.46/38.93 X767,X768)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X770, 38.46/38.93 X771]: 38.46/38.93 (in( 38.46/38.93 X771, 38.46/38.93 powerset( 38.46/38.93 X770)) => 38.46/38.93 (![X772]: 38.46/38.93 (in( 38.46/38.93 X772, 38.46/38.93 powerset( 38.46/38.93 X770)) => 38.46/38.93 (![X773]: 38.46/38.93 (in( 38.46/38.93 X773,X770) => 38.46/38.93 (subset( 38.46/38.93 X771, 38.46/38.93 setminus( 38.46/38.93 X770,X772)) => 38.46/38.93 (in( 38.46/38.93 X773,X772) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X773,X771)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X774, 38.46/38.93 X775]: 38.46/38.93 (in( 38.46/38.93 X775, 38.46/38.93 powerset( 38.46/38.93 X774)) => 38.46/38.93 (![X776]: 38.46/38.93 (in( 38.46/38.93 X776, 38.46/38.93 powerset( 38.46/38.93 X774)) => 38.46/38.93 (![X777]: 38.46/38.93 (in( 38.46/38.93 X777,X774) => 38.46/38.93 (subset( 38.46/38.93 X775,X776) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X777,X776)) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X777,X775)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X778, 38.46/38.93 X779]: 38.46/38.93 (in( 38.46/38.93 X779, 38.46/38.93 powerset( 38.46/38.93 X778)) => 38.46/38.93 (![X780]: 38.46/38.93 (in( 38.46/38.93 X780, 38.46/38.93 powerset( 38.46/38.93 X778)) => 38.46/38.93 (subset( 38.46/38.93 X779,X780) => 38.46/38.93 subset( 38.46/38.93 setminus( 38.46/38.93 X778,X780), 38.46/38.93 setminus( 38.46/38.93 X778,X779))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X781, 38.46/38.93 X782]: 38.46/38.93 (in( 38.46/38.93 X782, 38.46/38.93 powerset( 38.46/38.93 X781)) => 38.46/38.93 (![X783]: 38.46/38.93 (in( 38.46/38.93 X783, 38.46/38.93 powerset( 38.46/38.93 X781)) => 38.46/38.93 (subset( 38.46/38.93 setminus( 38.46/38.93 X781,X783), 38.46/38.93 setminus( 38.46/38.93 X781,X782)) => 38.46/38.93 subset( 38.46/38.93 X782,X783)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X784, 38.46/38.93 X785]: 38.46/38.93 (in( 38.46/38.93 X785, 38.46/38.93 powerset( 38.46/38.93 X784)) => 38.46/38.93 (![X786]: 38.46/38.93 (in( 38.46/38.93 X786,X784) => 38.46/38.93 (in( 38.46/38.93 X786,X785) => 38.46/38.93 in( 38.46/38.93 X786, 38.46/38.93 setminus( 38.46/38.93 X784, 38.46/38.93 setminus( 38.46/38.93 X784,X785)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X787, 38.46/38.93 X788]: 38.46/38.93 (in( 38.46/38.93 X788, 38.46/38.93 powerset( 38.46/38.93 X787)) => 38.46/38.93 (![X789]: 38.46/38.93 (in( 38.46/38.93 X789,X787) => 38.46/38.93 (in( 38.46/38.93 X789, 38.46/38.93 setminus( 38.46/38.93 X787, 38.46/38.93 setminus( 38.46/38.93 X787,X788))) => 38.46/38.93 in( 38.46/38.93 X789,X788)))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X790, 38.46/38.93 X791]: 38.46/38.93 (in( 38.46/38.93 X791, 38.46/38.93 powerset( 38.46/38.93 X790)) => 38.46/38.93 subset( 38.46/38.93 X791, 38.46/38.93 setminus( 38.46/38.93 X790, 38.46/38.93 setminus( 38.46/38.93 X790,X791))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X792, 38.46/38.93 X793]: 38.46/38.93 (in( 38.46/38.93 X793, 38.46/38.93 powerset( 38.46/38.93 X792)) => 38.46/38.93 subset( 38.46/38.93 setminus( 38.46/38.93 X792, 38.46/38.93 setminus( 38.46/38.93 X792,X793)), 38.46/38.93 X793))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X794, 38.46/38.93 X795]: 38.46/38.93 (in( 38.46/38.93 X795, 38.46/38.93 powerset( 38.46/38.93 X794)) => 38.46/38.93 (X795 = 38.46/38.93 setminus( 38.46/38.93 X794, 38.46/38.93 setminus( 38.46/38.93 X794,X795))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X796, 38.46/38.93 X797]: 38.46/38.93 (in( 38.46/38.93 X797, 38.46/38.93 powerset( 38.46/38.93 X796)) => 38.46/38.93 (![X798]: 38.46/38.93 (in( 38.46/38.93 X798, 38.46/38.93 powerset( 38.46/38.93 X796)) => 38.46/38.93 (![X799]: 38.46/38.93 (in( 38.46/38.93 X799,X796) => 38.46/38.93 (in( 38.46/38.93 X799, 38.46/38.93 setminus( 38.46/38.93 X796,X797)) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X799, 38.46/38.93 binintersect( 38.46/38.93 X797,X798)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X800, 38.46/38.93 X801]: 38.46/38.93 (in( 38.46/38.93 X801, 38.46/38.93 powerset( 38.46/38.93 X800)) => 38.46/38.93 (![X802]: 38.46/38.93 (in( 38.46/38.93 X802, 38.46/38.93 powerset( 38.46/38.93 X800)) => 38.46/38.93 (![X803]: 38.46/38.93 (in( 38.46/38.93 X803,X800) => 38.46/38.93 (in( 38.46/38.93 X803, 38.46/38.93 setminus( 38.46/38.93 X800,X801)) => 38.46/38.93 in( 38.46/38.93 X803, 38.46/38.93 setminus( 38.46/38.93 X800, 38.46/38.93 binintersect( 38.46/38.93 X801,X802)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X804, 38.46/38.93 X805]: 38.46/38.93 (in( 38.46/38.93 X805, 38.46/38.93 powerset( 38.46/38.93 X804)) => 38.46/38.93 (![X806]: 38.46/38.93 (in( 38.46/38.93 X806, 38.46/38.93 powerset( 38.46/38.93 X804)) => 38.46/38.93 subset( 38.46/38.93 setminus( 38.46/38.93 X804,X805), 38.46/38.93 setminus( 38.46/38.93 X804, 38.46/38.93 binintersect( 38.46/38.93 X805,X806))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X807, 38.46/38.93 X808]: 38.46/38.93 (in( 38.46/38.93 X808, 38.46/38.93 powerset( 38.46/38.93 X807)) => 38.46/38.93 (![X809]: 38.46/38.93 (in( 38.46/38.93 X809, 38.46/38.93 powerset( 38.46/38.93 X807)) => 38.46/38.93 in( 38.46/38.93 setminus( 38.46/38.93 X807,X808), 38.46/38.93 powerset( 38.46/38.93 setminus( 38.46/38.93 X807, 38.46/38.93 binintersect( 38.46/38.93 X808,X809)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X810, 38.46/38.93 X811]: 38.46/38.93 (in( 38.46/38.93 X811, 38.46/38.93 powerset( 38.46/38.93 X810)) => 38.46/38.93 (![X812]: 38.46/38.93 (in( 38.46/38.93 X812, 38.46/38.93 powerset( 38.46/38.93 X810)) => 38.46/38.93 (subset( 38.46/38.93 X811, 38.46/38.93 setminus( 38.46/38.93 X810,X812)) => 38.46/38.93 (![X813]: 38.46/38.93 (in( 38.46/38.93 X813,X810) => 38.46/38.93 (in( 38.46/38.93 X813,X812) => 38.46/38.93 in( 38.46/38.93 X813, 38.46/38.93 setminus( 38.46/38.93 X810,X811)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X814, 38.46/38.93 X815]: 38.46/38.93 (in( 38.46/38.93 X815, 38.46/38.93 powerset( 38.46/38.93 X814)) => 38.46/38.93 (![X816]: 38.46/38.93 (in( 38.46/38.93 X816, 38.46/38.93 powerset( 38.46/38.93 X814)) => 38.46/38.93 (subset( 38.46/38.93 X815, 38.46/38.93 setminus( 38.46/38.93 X814,X816)) => 38.46/38.93 subset( 38.46/38.93 X816, 38.46/38.93 setminus( 38.46/38.93 X814,X815))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X817, 38.46/38.93 X818]: 38.46/38.93 (in( 38.46/38.93 X818, 38.46/38.93 powerset( 38.46/38.93 X817)) => 38.46/38.93 (![X819]: 38.46/38.93 (in( 38.46/38.93 X819, 38.46/38.93 powerset( 38.46/38.93 X817)) => 38.46/38.93 (![X820]: 38.46/38.93 (in( 38.46/38.93 X820,X817) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X820, 38.46/38.93 binunion( 38.46/38.93 X818,X819))) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X820,X818))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X821, 38.46/38.93 X822]: 38.46/38.93 (in( 38.46/38.93 X822, 38.46/38.93 powerset( 38.46/38.93 X821)) => 38.46/38.93 (![X823]: 38.46/38.93 (in( 38.46/38.93 X823, 38.46/38.93 powerset( 38.46/38.93 X821)) => 38.46/38.93 (![X824]: 38.46/38.93 (in( 38.46/38.93 X824,X821) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X824, 38.46/38.93 binunion( 38.46/38.93 X822,X823))) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X824,X823))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X825, 38.46/38.93 X826]: 38.46/38.93 (in( 38.46/38.93 X826, 38.46/38.93 powerset( 38.46/38.93 X825)) => 38.46/38.93 (![X827]: 38.46/38.93 (in( 38.46/38.93 X827, 38.46/38.93 powerset( 38.46/38.93 X825)) => 38.46/38.93 (![X828]: 38.46/38.93 (in( 38.46/38.93 X828, 38.46/38.93 powerset( 38.46/38.93 X825)) => 38.46/38.93 (![X829]: 38.46/38.93 (in( 38.46/38.93 X829,X825) => 38.46/38.93 (in( 38.46/38.93 X829, 38.46/38.93 binintersect( 38.46/38.93 X826,X827)) => 38.46/38.93 in( 38.46/38.93 X829, 38.46/38.93 binunion( 38.46/38.93 X826,X828))))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X830, 38.46/38.93 X831]: 38.46/38.93 (in( 38.46/38.93 X831, 38.46/38.93 powerset( 38.46/38.93 X830)) => 38.46/38.93 (![X832]: 38.46/38.93 (in( 38.46/38.93 X832, 38.46/38.93 powerset( 38.46/38.93 X830)) => 38.46/38.93 (![X833]: 38.46/38.93 (in( 38.46/38.93 X833, 38.46/38.93 powerset( 38.46/38.93 X830)) => 38.46/38.93 (![X834]: 38.46/38.93 (in( 38.46/38.93 X834,X830) => 38.46/38.93 (in( 38.46/38.93 X834, 38.46/38.93 binintersect( 38.46/38.93 X831,X832)) => 38.46/38.93 in( 38.46/38.93 X834, 38.46/38.93 binunion( 38.46/38.93 X832,X833))))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X835, 38.46/38.93 X836]: 38.46/38.93 (in( 38.46/38.93 X836, 38.46/38.93 powerset( 38.46/38.93 X835)) => 38.46/38.93 (![X837]: 38.46/38.93 (in( 38.46/38.93 X837, 38.46/38.93 powerset( 38.46/38.93 X835)) => 38.46/38.93 (![X838]: 38.46/38.93 (in( 38.46/38.93 X838, 38.46/38.93 powerset( 38.46/38.93 X835)) => 38.46/38.93 (![X839]: 38.46/38.93 (in( 38.46/38.93 X839,X835) => 38.46/38.93 (in( 38.46/38.93 X839, 38.46/38.93 binintersect( 38.46/38.93 X836,X837)) => 38.46/38.93 in( 38.46/38.93 X839, 38.46/38.93 binintersect( 38.46/38.93 binunion( 38.46/38.93 X836,X838), 38.46/38.93 binunion( 38.46/38.93 X837,X838)))))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X840, 38.46/38.93 X841]: 38.46/38.93 (in( 38.46/38.93 X841, 38.46/38.93 powerset( 38.46/38.93 X840)) => 38.46/38.93 (![X842]: 38.46/38.93 (in( 38.46/38.93 X842, 38.46/38.93 powerset( 38.46/38.93 X840)) => 38.46/38.93 (![X843]: 38.46/38.93 (in( 38.46/38.93 X843, 38.46/38.93 powerset( 38.46/38.93 X840)) => 38.46/38.93 in( 38.46/38.93 binintersect( 38.46/38.93 X841,X842), 38.46/38.93 powerset( 38.46/38.93 binintersect( 38.46/38.93 binunion( 38.46/38.93 X841,X843), 38.46/38.93 binunion( 38.46/38.93 X842,X843)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X844, 38.46/38.93 X845]: 38.46/38.93 (in( 38.46/38.93 X845, 38.46/38.93 powerset( 38.46/38.93 X844)) => 38.46/38.93 (![X846]: 38.46/38.93 (in( 38.46/38.93 X846, 38.46/38.93 powerset( 38.46/38.93 X844)) => 38.46/38.93 (![X847]: 38.46/38.93 (in( 38.46/38.93 X847,X844) => 38.46/38.93 (in( 38.46/38.93 X847, 38.46/38.93 setminus( 38.46/38.93 X844, 38.46/38.93 binunion( 38.46/38.93 X845,X846))) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X847,X845))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X848, 38.46/38.93 X849]: 38.46/38.93 (in( 38.46/38.93 X849, 38.46/38.93 powerset( 38.46/38.93 X848)) => 38.46/38.93 (![X850]: 38.46/38.93 (in( 38.46/38.93 X850, 38.46/38.93 powerset( 38.46/38.93 X848)) => 38.46/38.93 (![X851]: 38.46/38.93 (in( 38.46/38.93 X851,X848) => 38.46/38.93 (in( 38.46/38.93 X851, 38.46/38.93 setminus( 38.46/38.93 X848, 38.46/38.93 binunion( 38.46/38.93 X849,X850))) => 38.46/38.93 in( 38.46/38.93 X851, 38.46/38.93 setminus( 38.46/38.93 X848,X849))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X852, 38.46/38.93 X853]: 38.46/38.93 (in( 38.46/38.93 X853, 38.46/38.93 powerset( 38.46/38.93 X852)) => 38.46/38.93 (![X854]: 38.46/38.93 (in( 38.46/38.93 X854, 38.46/38.93 powerset( 38.46/38.93 X852)) => 38.46/38.93 (![X855:$o, 38.46/38.93 X856]: 38.46/38.93 (in( 38.46/38.93 X856,X852) => 38.46/38.93 (in( 38.46/38.93 X856, 38.46/38.93 binunion( 38.46/38.93 X853,X854)) => 38.46/38.93 (( 38.46/38.93 in( 38.46/38.93 X856,X853) => 38.46/38.93 X855) => 38.46/38.93 (( 38.46/38.93 in( 38.46/38.93 X856,X854) => 38.46/38.93 X855) => 38.46/38.93 X855))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X857, 38.46/38.93 X858]: 38.46/38.93 (in( 38.46/38.93 X858, 38.46/38.93 powerset( 38.46/38.93 X857)) => 38.46/38.93 (![X859]: 38.46/38.93 (in( 38.46/38.93 X859, 38.46/38.93 powerset( 38.46/38.93 X857)) => 38.46/38.93 (![X860]: 38.46/38.93 (in( 38.46/38.93 X860,X857) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X860,X858)) => 38.46/38.93 (( 38.46/38.93 ~ 38.46/38.93 in( 38.46/38.93 X860,X859)) => 38.46/38.93 (~ 38.46/38.93 in( 38.46/38.93 X860, 38.46/38.93 binunion( 38.46/38.93 X858,X859))))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X861, 38.46/38.93 X862]: 38.46/38.93 (in( 38.46/38.93 X862, 38.46/38.93 powerset( 38.46/38.93 X861)) => 38.46/38.93 (![X863]: 38.46/38.93 (in( 38.46/38.93 X863, 38.46/38.93 powerset( 38.46/38.93 X861)) => 38.46/38.93 (![X864]: 38.46/38.93 (in( 38.46/38.93 X864,X861) => 38.46/38.93 (in( 38.46/38.93 X864, 38.46/38.93 setminus( 38.46/38.93 X861, 38.46/38.93 binunion( 38.46/38.93 X862,X863))) => 38.46/38.93 in( 38.46/38.93 X864, 38.46/38.93 setminus( 38.46/38.93 X861,X862))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X865, 38.46/38.93 X866]: 38.46/38.93 (in( 38.46/38.93 X866, 38.46/38.93 powerset( 38.46/38.93 X865)) => 38.46/38.93 (![X867]: 38.46/38.93 (in( 38.46/38.93 X867, 38.46/38.93 powerset( 38.46/38.93 X865)) => 38.46/38.93 in( 38.46/38.93 setminus( 38.46/38.93 X865, 38.46/38.93 binunion( 38.46/38.93 X866,X867)), 38.46/38.93 powerset( 38.46/38.93 setminus( 38.46/38.93 X865,X866))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X868, 38.46/38.93 X869]: 38.46/38.93 (in( 38.46/38.93 X869, 38.46/38.93 powerset( 38.46/38.93 X868)) => 38.46/38.93 (![X870]: 38.46/38.93 (in( 38.46/38.93 X870, 38.46/38.93 powerset( 38.46/38.93 X868)) => 38.46/38.93 (![X871]: 38.46/38.93 (in( 38.46/38.93 X871,X868) => 38.46/38.93 (in( 38.46/38.93 X871, 38.46/38.93 setminus( 38.46/38.93 X868, 38.46/38.93 binunion( 38.46/38.93 X869,X870))) => 38.46/38.93 in( 38.46/38.93 X871, 38.46/38.93 setminus( 38.46/38.93 X868,X870))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X872, 38.46/38.93 X873]: 38.46/38.93 (in( 38.46/38.93 X873, 38.46/38.93 powerset( 38.46/38.93 X872)) => 38.46/38.93 (![X874]: 38.46/38.93 (in( 38.46/38.93 X874, 38.46/38.93 powerset( 38.46/38.93 X872)) => 38.46/38.93 (![X875]: 38.46/38.93 (in( 38.46/38.93 X875,X872) => 38.46/38.93 (in( 38.46/38.93 X875, 38.46/38.93 setminus( 38.46/38.93 X872, 38.46/38.93 binintersect( 38.46/38.93 X873,X874))) => 38.46/38.93 in( 38.46/38.93 X875, 38.46/38.93 binunion( 38.46/38.93 setminus( 38.46/38.93 X872,X873), 38.46/38.93 setminus( 38.46/38.93 X872,X874)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X876, 38.46/38.93 X877]: 38.46/38.93 (in( 38.46/38.93 X877, 38.46/38.93 powerset( 38.46/38.93 X876)) => 38.46/38.93 (![X878]: 38.46/38.93 (in( 38.46/38.93 X878, 38.46/38.93 powerset( 38.46/38.93 X876)) => 38.46/38.93 (![X879]: 38.46/38.93 (in( 38.46/38.93 X879,X876) => 38.46/38.93 (in( 38.46/38.93 X879, 38.46/38.93 binunion( 38.46/38.93 setminus( 38.46/38.93 X876,X877), 38.46/38.93 setminus( 38.46/38.93 X876,X878))) => 38.46/38.93 in( 38.46/38.93 X879, 38.46/38.93 setminus( 38.46/38.93 X876, 38.46/38.93 binintersect( 38.46/38.93 X877,X878)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X880, 38.46/38.93 X881]: 38.46/38.93 (in( 38.46/38.93 X881, 38.46/38.93 powerset( 38.46/38.93 X880)) => 38.46/38.93 (![X882]: 38.46/38.93 (in( 38.46/38.93 X882, 38.46/38.93 powerset( 38.46/38.93 X880)) => 38.46/38.93 (setminus( 38.46/38.93 X880, 38.46/38.93 binintersect( 38.46/38.93 X881,X882)) = 38.46/38.93 binunion( 38.46/38.93 setminus( 38.46/38.93 X880,X881), 38.46/38.93 setminus( 38.46/38.93 X880,X882))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X883, 38.46/38.93 X884]: 38.46/38.93 (in( 38.46/38.93 X884, 38.46/38.93 powerset( 38.46/38.93 X883)) => 38.46/38.93 (![X885]: 38.46/38.93 (in( 38.46/38.93 X885, 38.46/38.93 powerset( 38.46/38.93 X883)) => 38.46/38.93 (![X886]: 38.46/38.93 (in( 38.46/38.93 X886,X883) => 38.46/38.93 (in( 38.46/38.93 X886, 38.46/38.93 setminus( 38.46/38.93 X883, 38.46/38.93 binunion( 38.46/38.93 X884,X885))) => 38.46/38.93 in( 38.46/38.93 X886, 38.46/38.93 binintersect( 38.46/38.93 setminus( 38.46/38.93 X883,X884), 38.46/38.93 setminus( 38.46/38.93 X883,X885)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X887, 38.46/38.93 X888]: 38.46/38.93 (in( 38.46/38.93 X888, 38.46/38.93 powerset( 38.46/38.93 X887)) => 38.46/38.93 (![X889]: 38.46/38.93 (in( 38.46/38.93 X889, 38.46/38.93 powerset( 38.46/38.93 X887)) => 38.46/38.93 (![X890]: 38.46/38.93 (in( 38.46/38.93 X890,X887) => 38.46/38.93 (in( 38.46/38.93 X890, 38.46/38.93 setminus( 38.46/38.93 X887,X888)) => 38.46/38.93 (in( 38.46/38.93 X890, 38.46/38.93 setminus( 38.46/38.93 X887,X889)) => 38.46/38.93 in( 38.46/38.93 X890, 38.46/38.93 setminus( 38.46/38.93 X887, 38.46/38.93 binunion( 38.46/38.93 X888,X889))))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X891, 38.46/38.93 X892]: 38.46/38.93 (in( 38.46/38.93 X892, 38.46/38.93 powerset( 38.46/38.93 X891)) => 38.46/38.93 (![X893]: 38.46/38.93 (in( 38.46/38.93 X893, 38.46/38.93 powerset( 38.46/38.93 X891)) => 38.46/38.93 (![X894]: 38.46/38.93 (in( 38.46/38.93 X894,X891) => 38.46/38.93 (in( 38.46/38.93 X894, 38.46/38.93 binintersect( 38.46/38.93 setminus( 38.46/38.93 X891,X892), 38.46/38.93 setminus( 38.46/38.93 X891,X893))) => 38.46/38.93 in( 38.46/38.93 X894, 38.46/38.93 setminus( 38.46/38.93 X891, 38.46/38.93 binunion( 38.46/38.93 X892,X893)))))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X895, 38.46/38.93 X896]: 38.46/38.93 (in( 38.46/38.93 X896, 38.46/38.93 powerset( 38.46/38.93 X895)) => 38.46/38.93 (![X897]: 38.46/38.93 (in( 38.46/38.93 X897, 38.46/38.93 powerset( 38.46/38.93 X895)) => 38.46/38.93 (setminus( 38.46/38.93 X895, 38.46/38.93 binunion( 38.46/38.93 X896,X897)) = 38.46/38.93 binintersect( 38.46/38.93 setminus( 38.46/38.93 X895,X896), 38.46/38.93 setminus( 38.46/38.93 X895,X897))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X898, 38.46/38.93 X899]: 38.46/38.93 (in( 38.46/38.93 X899, 38.46/38.93 powerset( 38.46/38.93 X898)) => 38.46/38.93 (![X900]: 38.46/38.93 (in( 38.46/38.93 X900, 38.46/38.93 powerset( 38.46/38.93 X898)) => 38.46/38.93 (![X901]: 38.46/38.93 (in( 38.46/38.93 X901, 38.46/38.93 binintersect( 38.46/38.93 X899,X900)) => 38.46/38.93 in( 38.46/38.93 X901,X898))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X902, 38.46/38.93 X903]: 38.46/38.93 (in( 38.46/38.93 X903, 38.46/38.93 powerset( 38.46/38.93 X902)) => 38.46/38.93 (![X904]: 38.46/38.93 (in( 38.46/38.93 X904, 38.46/38.93 powerset( 38.46/38.93 X902)) => 38.46/38.93 (![X905]: 38.46/38.93 (in( 38.46/38.93 X905, 38.46/38.93 powerset( 38.46/38.93 X902)) => 38.46/38.93 (subset( 38.46/38.93 X903,X905) => 38.46/38.93 subset( 38.46/38.93 binintersect( 38.46/38.93 X903,X904), 38.46/38.93 X905)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X906, 38.46/38.93 X907]: 38.46/38.93 (in( 38.46/38.93 X907, 38.46/38.93 powerset( 38.46/38.93 X906)) => 38.46/38.93 (![X908]: 38.46/38.93 (in( 38.46/38.93 X908, 38.46/38.93 powerset( 38.46/38.93 X906)) => 38.46/38.93 (![X909]: 38.46/38.93 (in( 38.46/38.93 X909, 38.46/38.93 powerset( 38.46/38.93 X906)) => 38.46/38.93 (subset( 38.46/38.93 X908,X909) => 38.46/38.93 subset( 38.46/38.93 binintersect( 38.46/38.93 X907,X908), 38.46/38.93 X909)))))))) => 38.46/38.93 ( 38.46/38.93 ( 38.46/38.93 ![X910, 38.46/38.93 X911]: 38.46/38.93 (in( 38.46/38.93 X911, 38.46/38.93 powerset( 38.46/38.93 X910)) => 38.46/38.93 (![X912]: 38.46/38.93 (in( 38.46/38.93 X912, 38.46/38.93 powerset( 38.46/38.93 X910)) => 38.46/38.93 (![X913]: 38.46/38.93 (in( 38.46/38.93 X913, 38.46/38.93 powerset( 38.46/38.93 X910)) => 38.46/38.93 (subset( 38.46/38.93 X911,X912) => 38.46/38.93 (subset( 38.46/38.93 X911,X913) => 38.46/38.94 subset( 38.46/38.94 X911, 38.46/38.94 binintersect( 38.46/38.94 X912,X913)))))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X914, 38.46/38.94 X915]: 38.46/38.94 (in( 38.46/38.94 X915, 38.46/38.94 powerset( 38.46/38.94 X914)) => 38.46/38.94 (![X916]: 38.46/38.94 (in( 38.46/38.94 X916, 38.46/38.94 powerset( 38.46/38.94 X914)) => 38.46/38.94 (![X917]: 38.46/38.94 (in( 38.46/38.94 X917, 38.46/38.94 powerset( 38.46/38.94 X914)) => 38.46/38.94 (![X918]: 38.46/38.94 (in( 38.46/38.94 X918, 38.46/38.94 powerset( 38.46/38.94 X914)) => 38.46/38.94 (subset( 38.46/38.94 X915,X917) => 38.46/38.94 (subset( 38.46/38.94 X916,X918) => 38.46/38.94 subset( 38.46/38.94 binintersect( 38.46/38.94 X915,X916), 38.46/38.94 binintersect( 38.46/38.94 X917,X918)))))))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X919, 38.46/38.94 X920]: 38.46/38.94 (in( 38.46/38.94 X920, 38.46/38.94 powerset( 38.46/38.94 X919)) => 38.46/38.94 (![X921]: 38.46/38.94 (in( 38.46/38.94 X921, 38.46/38.94 powerset( 38.46/38.94 X919)) => 38.46/38.94 in( 38.46/38.94 setminus( 38.46/38.94 X919,X920), 38.46/38.94 powerset( 38.46/38.94 setminus( 38.46/38.94 X919, 38.46/38.94 binintersect( 38.46/38.94 X920,X921)))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X922, 38.46/38.94 X923]: 38.46/38.94 (in( 38.46/38.94 X923, 38.46/38.94 powerset( 38.46/38.94 X922)) => 38.46/38.94 (![X924]: 38.46/38.94 (in( 38.46/38.94 X924, 38.46/38.94 powerset( 38.46/38.94 X922)) => 38.46/38.94 (![X925]: 38.46/38.94 (in( 38.46/38.94 X925, 38.46/38.94 powerset( 38.46/38.94 X922)) => 38.46/38.94 (![X926]: 38.46/38.94 (in( 38.46/38.94 X926, 38.46/38.94 powerset( 38.46/38.94 X922)) => 38.46/38.94 (setminus( 38.46/38.94 X922, 38.46/38.94 binintersect( 38.46/38.94 binunion( 38.46/38.94 X923,X924), 38.46/38.94 binunion( 38.46/38.94 X925,X926))) = 38.46/38.94 binunion( 38.46/38.94 binintersect( 38.46/38.94 setminus( 38.46/38.94 X922,X923), 38.46/38.94 setminus( 38.46/38.94 X922,X924)), 38.46/38.94 binintersect( 38.46/38.94 setminus( 38.46/38.94 X922,X925), 38.46/38.94 setminus( 38.46/38.94 X922,X926)))))))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X927, 38.46/38.94 X928]: 38.46/38.94 (in( 38.46/38.94 X928, 38.46/38.94 powerset( 38.46/38.94 X927)) => 38.46/38.94 (![X929]: 38.46/38.94 (in( 38.46/38.94 X929, 38.46/38.94 powerset( 38.46/38.94 X927)) => 38.46/38.94 (![X930]: 38.46/38.94 (in( 38.46/38.94 X930, 38.46/38.94 powerset( 38.46/38.94 X927)) => 38.46/38.94 in( 38.46/38.94 binintersect( 38.46/38.94 X928,X929), 38.46/38.94 powerset( 38.46/38.94 binintersect( 38.46/38.94 binunion( 38.46/38.94 X928,X930), 38.46/38.94 binunion( 38.46/38.94 X929,X930)))))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X931, 38.46/38.94 X932]: 38.46/38.94 (in( 38.46/38.94 X932, 38.46/38.94 powerset( 38.46/38.94 X931)) => 38.46/38.94 (![X933]: 38.46/38.94 (in( 38.46/38.94 X933, 38.46/38.94 powerset( 38.46/38.94 X931)) => 38.46/38.94 (subset( 38.46/38.94 X932, 38.46/38.94 setminus( 38.46/38.94 X931,X933)) => 38.46/38.94 subset( 38.46/38.94 X933, 38.46/38.94 setminus( 38.46/38.94 X931,X932))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X934, 38.46/38.94 X935]: 38.46/38.94 (in( 38.46/38.94 X935, 38.46/38.94 powerset( 38.46/38.94 X934)) => 38.46/38.94 (![X936]: 38.46/38.94 (in( 38.46/38.94 X936, 38.46/38.94 powerset( 38.46/38.94 X934)) => 38.46/38.94 in( 38.46/38.94 setminus( 38.46/38.94 X934, 38.46/38.94 binunion( 38.46/38.94 X935,X936)), 38.46/38.94 powerset( 38.46/38.94 setminus( 38.46/38.94 X934,X935))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X937, 38.46/38.94 X938]: 38.46/38.94 (subset( 38.46/38.94 X938, 38.46/38.94 cartprod( 38.46/38.94 X937,X937)) => 38.46/38.94 (![X939:( 38.46/38.94 $i > $o)]: 38.46/38.94 (( 38.46/38.94 ![X940]: 38.46/38.94 (in( 38.46/38.94 X940,X937) => 38.46/38.94 (![X941]: 38.46/38.94 (in( 38.46/38.94 X941,X937) => 38.46/38.94 (in( 38.46/38.94 kpair( 38.46/38.94 X940,X941), 38.46/38.94 X938) => 38.46/38.94 X939( 38.46/38.94 kpair( 38.46/38.94 X940,X941))))))) => 38.46/38.94 (![X942]: 38.46/38.94 (in( 38.46/38.94 X942,X938) => 38.46/38.94 X939( 38.46/38.94 X942))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X943, 38.46/38.94 X944]: 38.46/38.94 (in( 38.46/38.94 X944, 38.46/38.94 breln1Set( 38.46/38.94 X943)) => 38.46/38.94 subset( 38.46/38.94 X944, 38.46/38.94 cartprod( 38.46/38.94 X943,X943)))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X945, 38.46/38.94 X946, 38.46/38.94 X947:( 38.46/38.94 ($i * $i) > 38.46/38.94 $o)]: 38.46/38.94 (( 38.46/38.94 ![X948]: 38.46/38.94 (in( 38.46/38.94 X948,X945) => 38.46/38.94 (?[X949]: 38.46/38.94 (X947( 38.46/38.94 X948,X949) & 38.46/38.94 in( 38.46/38.94 X949,X946))))) => 38.46/38.94 (![X950]: 38.46/38.94 (in( 38.46/38.94 X950, 38.46/38.94 breln1Set( 38.46/38.94 X946)) => 38.46/38.94 (reflwellordering( 38.46/38.94 X946,X950) => 38.46/38.94 (![X951]: 38.46/38.94 (in( 38.46/38.94 X951,X945) => 38.46/38.94 singleton( 38.46/38.94 dsetconstr( 38.46/38.94 X946, 38.46/38.94 ^[V_53]: 38.46/38.94 (X947( 38.46/38.94 X951,V_53) & 38.46/38.94 (![X952]: 38.46/38.94 (in( 38.46/38.94 X952,X946) => 38.46/38.94 (X947( 38.46/38.94 X951,X952) => 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 V_53,X952), 38.46/38.94 X950)))))))))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X953, 38.46/38.94 X954:( 38.46/38.94 ($i * $i) > 38.46/38.94 $o)]: 38.46/38.94 subset( 38.46/38.94 dpsetconstr( 38.46/38.94 X953, 38.46/38.94 X953, 38.46/38.94 ^[V_54, 38.46/38.94 V_55]: 38.46/38.94 X954( 38.46/38.94 V_54,V_55)), 38.46/38.94 cartprod( 38.46/38.94 X953,X953))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X955, 38.46/38.94 X956]: 38.46/38.94 (subset( 38.46/38.94 X956, 38.46/38.94 cartprod( 38.46/38.94 X955,X955)) => 38.46/38.94 (![X957:( 38.46/38.94 $i > $o)]: 38.46/38.94 (( 38.46/38.94 ![X958]: 38.46/38.94 (in( 38.46/38.94 X958,X955) => 38.46/38.94 (![X959]: 38.46/38.94 (in( 38.46/38.94 X959,X955) => 38.46/38.94 (in( 38.46/38.94 kpair( 38.46/38.94 X958,X959), 38.46/38.94 X956) => 38.46/38.94 X957( 38.46/38.94 kpair( 38.46/38.94 X958,X959))))))) => 38.46/38.94 (![X960]: 38.46/38.94 (in( 38.46/38.94 X960,X956) => 38.46/38.94 X957( 38.46/38.94 X960))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X961, 38.46/38.94 X962]: 38.46/38.94 (subset( 38.46/38.94 X962, 38.46/38.94 cartprod( 38.46/38.94 X961,X961)) => 38.46/38.94 (![X963]: 38.46/38.94 (subset( 38.46/38.94 X963, 38.46/38.94 cartprod( 38.46/38.94 X961,X961)) => 38.46/38.94 (( 38.46/38.94 ![X964]: 38.46/38.94 (in( 38.46/38.94 X964,X961) => 38.46/38.94 (![X965]: 38.46/38.94 (in( 38.46/38.94 X965,X961) => 38.46/38.94 (in( 38.46/38.94 kpair( 38.46/38.94 X964,X965), 38.46/38.94 X962) => 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 X964,X965), 38.46/38.94 X963)))))) => 38.46/38.94 subset( 38.46/38.94 X962,X963)))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X966, 38.46/38.94 X967]: 38.46/38.94 (subset( 38.46/38.94 X967, 38.46/38.94 cartprod( 38.46/38.94 X966,X966)) => 38.46/38.94 (![X968]: 38.46/38.94 (subset( 38.46/38.94 X968, 38.46/38.94 cartprod( 38.46/38.94 X966,X966)) => 38.46/38.94 (( 38.46/38.94 ![X969]: 38.46/38.94 (in( 38.46/38.94 X969,X966) => 38.46/38.94 (![X970]: 38.46/38.94 (in( 38.46/38.94 X970,X966) => 38.46/38.94 (in( 38.46/38.94 kpair( 38.46/38.94 X969,X970), 38.46/38.94 X967) => 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 X969,X970), 38.46/38.94 X968)))))) => 38.46/38.94 (( 38.46/38.94 ![X971]: 38.46/38.94 (in( 38.46/38.94 X971,X966) => 38.46/38.94 (![X972]: 38.46/38.94 (in( 38.46/38.94 X972,X966) => 38.46/38.94 (in( 38.46/38.94 kpair( 38.46/38.94 X971,X972), 38.46/38.94 X968) => 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 X971,X972), 38.46/38.94 X967)))))) => 38.46/38.94 (X967 = 38.46/38.94 X968))))))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X973, 38.46/38.94 X974]: 38.46/38.94 (subset( 38.46/38.94 X974, 38.46/38.94 cartprod( 38.46/38.94 X973,X973)) => 38.46/38.94 subset( 38.46/38.94 dpsetconstr( 38.46/38.94 X973, 38.46/38.94 X973, 38.46/38.94 ^[V_56, 38.46/38.94 V_57]: 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 V_57,V_56), 38.46/38.94 X974)), 38.46/38.94 cartprod( 38.46/38.94 X973,X973)))) => 38.46/38.94 ( 38.46/38.94 ( 38.46/38.94 ![X975, 38.46/38.94 X976]: 38.46/38.94 (subset( 38.46/38.94 X976, 38.46/38.94 cartprod( 38.46/38.94 X975,X975)) => 38.46/38.94 (![X977]: 38.46/38.94 (in( 38.46/38.94 X977,X975) => 38.46/38.94 (![X978]: 38.46/38.94 (in( 38.46/38.94 X978,X975) => 38.46/38.94 (in( 38.46/38.94 kpair( 38.46/38.94 X977,X978), 38.46/38.94 X976) => 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 X978,X977), 38.46/38.94 dpsetconstr( 38.46/38.94 X975, 38.46/38.94 X975, 38.46/38.94 ^[V_58, 38.46/38.94 V_59]: 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 V_59,V_58), 38.46/38.94 X976)))))))))) => 38.46/38.94 ( 38.46/38.94 ![X979, 38.46/38.94 X980]: 38.46/38.94 (subset( 38.46/38.94 X980, 38.46/38.94 cartprod( 38.46/38.94 X979,X979)) => 38.46/38.94 (![X981]: 38.46/38.94 (in( 38.46/38.94 X981,X979) => 38.46/38.94 (![X982]: 38.46/38.94 (in( 38.46/38.94 X982,X979) => 38.46/38.94 (in( 38.46/38.94 kpair( 38.46/38.94 X982,X981), 38.46/38.94 dpsetconstr( 38.46/38.94 X979, 38.46/38.94 X979, 38.46/38.94 ^[V_60, 38.46/38.94 V_61]: 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 V_61,V_60), 38.46/38.94 X980))) => 38.46/38.94 in( 38.46/38.94 kpair( 38.46/38.94 X981,X982), 38.46/38.94 X980))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). 38.46/38.94 tff('298', plain, 38.46/38.94 in(kpair(sk_X982_, sk_X981_), 38.46/38.94 dpsetconstr(sk_X979_, sk_X979_, 38.46/38.94 (^[Y0 : $i,Y1 : $i]: in(kpair(Y1, Y0), sk_X980_)))), 38.46/38.94 inference('cnf', [status(esa)], [zf_stmt_14])). 38.46/38.94 tff('299', plain, 38.46/38.94 ![X1241, X1242, X1243 : ($i * $i) > $o, X1244, X1245]: 38.46/38.94 (~ in(X1241, X1242) 38.46/38.94 | X1243(X1244, X1241) 38.46/38.94 | ~ in(kpair(X1244, X1241), 38.46/38.94 dpsetconstr(X1245, X1242, (^[Y0 : $i,Y1 : $i]: X1243(Y0, Y1)))) 38.46/38.94 | ~ in(X1244, X1245)), 38.46/38.94 inference('cnf', [status(esa)], [zf_stmt_14])). 38.46/38.94 tff('300', plain, 38.46/38.94 ![X1241, X1242, X1243 : ($i * $i) > $o, X1244, X1245]: 38.46/38.94 (~ in(X1241, X1242) 38.46/38.94 | X1243(X1244, X1241) 38.46/38.94 | ~ in(kpair(X1244, X1241), dpsetconstr(X1245, X1242, X1243)) 38.46/38.94 | ~ in(X1244, X1245)), 38.46/38.94 inference('lambda-normalize', [status(thm)], ['299'])). 38.46/38.94 tff('301', plain, 38.46/38.94 (~ in(sk_X982_, sk_X979_) 38.46/38.94 | (^[Y0 : $i,Y1 : $i]: in(kpair(Y1, Y0), sk_X980_))(sk_X982_, sk_X981_) 38.46/38.94 | ~ in(sk_X981_, sk_X979_)), 38.46/38.94 inference('sup-', [status(thm)], ['298', '300'])). 38.46/38.94 tff('302', plain, 38.46/38.94 (~ in(sk_X982_, sk_X979_) 38.46/38.94 | in(kpair(sk_X981_, sk_X982_), sk_X980_) 38.46/38.94 | ~ in(sk_X981_, sk_X979_)), 38.46/38.94 inference('lambda-normalize', [status(thm)], ['301'])). 38.46/38.94 tff('303', plain, in(sk_X982_, sk_X979_), 38.46/38.94 inference('cnf', [status(esa)], [zf_stmt_14])). 38.46/38.94 tff('304', plain, 38.46/38.94 (~ in(sk_X981_, sk_X979_) | in(kpair(sk_X981_, sk_X982_), sk_X980_)), 38.46/38.94 inference('clc', [status(thm)], ['302', '303'])). 38.46/38.94 tff('305', plain, in(sk_X981_, sk_X979_), 38.46/38.94 inference('cnf', [status(esa)], [zf_stmt_14])). 38.46/38.94 tff('306', plain, in(kpair(sk_X981_, sk_X982_), sk_X980_), 38.46/38.94 inference('clc', [status(thm)], ['304', '305'])). 38.46/38.94 tff('307', plain, ~ in(kpair(sk_X981_, sk_X982_), sk_X980_), 38.46/38.94 inference('cnf', [status(esa)], [zf_stmt_14])). 38.46/38.94 tff('308', plain, $false, inference('sup-', [status(thm)], ['306', '307'])). 38.46/38.94 38.46/38.94 % SZS output end Refutation 38.46/38.94 % Zipperpin 1.5 exiting 38.46/38.94 EOF